diff --git "a/data/dm_maths/full_data_1/10903_11255.jsonl" "b/data/dm_maths/full_data_1/10903_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10903_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of 55\/23088 and 109\/72150.\nAnswer: 577200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Suppose 3 - 8 = -5*n. Let y = 4 - n. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.1 (b) 5 (c) 5\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5224534239 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 + (-1241)\/(-85). Let c be (-4)\/k + ((-204)\/(-28) - 2). Suppose 4*j = d + 4 + 1, 2*d = c*j - 1. Which is smaller: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4133, -32749, -110395, -261587, -510841, -882673, -1401599?\n\"Answer: -4086*x**3 + x**2 - 17*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87b7fb (base 16) to base 2.\nAnswer: -100001111011011111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + f + 532 = -4*f, -w + 144 = -4*f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(3\/(-36)). Suppose a = v - 3. What is the common denominator of -1 - (a + 81\/(-10)) and 37\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465975.86 rounded to the nearest one hundred?\nAnswer: -466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-276)\/4*(-1066)\/598?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 70*c**2 + 2*c - 85. Let y be q(35). Which is smaller: y or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 4656, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 3\/41515 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 11:23 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51185 - 0.2.\nAnswer: 51184.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608705 not equal to 2608707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/((p*(p**9\/p*p*p*p)\/p)\/p))\/p)\/p*p)\/p*p\/(p**(3\/4)*p))\/((p*p**9)\/(p*(p**(-3\/8)\/p)\/p)) assuming p is positive.\nAnswer: p**(-177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 8) to base 7.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -11 - -17 - 20.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let b be 1\/x - (-20)\/8. What is the highest common factor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (3 + (-3 - 0)). Suppose 5*d + 125 = 3*y, -d + 19 = y + o*d. Let h = -1 + 1. Solve 5*c = 2*s + y, 0 = -h*s - 3*s - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(114)\/sqrt(3))\/sqrt(2)*-3 + 0 + 4*1*sqrt(475).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-5 + 0 + 5*(sqrt(98) - (sqrt(98) - (-4 + sqrt(98))))**2)*-2.\nAnswer: -1140 + 630*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -18*d**3 + 194700*d**2 - 129794*d + 21632 = 0.\nAnswer: 1\/3, 10816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-3 + -1 - -5) + 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)*r)**(-36)*(r\/(r\/(r**1*r)))**47 assuming r is positive.\nAnswer: r**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9 + u**2 + 7*u - 4 - 3 + 4. Let g be l(3). Let k(i) = 23*i + 35. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(2\/11)*a)\/a)\/a)\/a)\/(a*a**(-21)))\/(((a**(-17)\/a)\/a)\/(a\/(a*a\/a**(-2\/27)))) assuming a is positive.\nAnswer: a**(10724\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/11)\/((-32)\/(-32)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/4 - 807*t\/2 - 153110 = 0.\nAnswer: -1004, -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2873 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/45)\/(3\/(-5)). Let x = 131 - 135. Let r = 1 - 4. Which is the closest to 2? (a) j (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-396406)\/(-445) + -1*(-1)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(208) + -2)*6 + 3)*-2)**2.\nAnswer: -34560*sqrt(13) + 487332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 + 63*w - 63*w - 10*w**3 - 5*w**4 + 2*w**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -6.9, 1 in increasing order.\nAnswer: -6.9, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121142 (base 5) in base 7?\nAnswer: 16154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 2*h = -26*b + b - 19, -2*b = 5*h - 48 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q*q**22)\/(q**(2\/15)*q**0) assuming q is positive.\nAnswer: q**(1019\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18336 = 2*d - 0*h + 2*h, 18327 = 2*d - h. What is d rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-42) - (-74)\/14. Let d(m) = -18*m - 5. Let t be d(2). Let h = 46 + t. Solve 3*k - 5 = -h*s - 17, x*k = -4*s - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -242 + 441. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1373 - 4679579\nAnswer: -4680952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298799 is divided by 59495?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x**3 - 164*x + 11. Let t(v) = -4*v**3 + 33*v - 2. Let i(s) = -4*q(s) - 22*t(s). Find the second derivative of i(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(405))**2 + 0.\nAnswer: 19\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 5*u + 9*u - 24*u + 6*u. Let z(h) be the first derivative of -52*h**2 + 1. What is z(o(y))?\nAnswer: -208*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -141. Let r be 273 + (-68)\/17 + (-6 - 11). What is the highest common factor of r and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405434524 (base 6) to base 16\nAnswer: 6aa014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.21396517 to 3 dps.\nAnswer: 2.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 50 + 35 + 15*g**2 + 49 + 3*g - 142. Determine x(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 + 1101?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160841 less than or equal to -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 4:33 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2 and 48\/2299.\nAnswer: 4598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/11, 0.1, -2, -0.3 in descending order.\nAnswer: 8\/11, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1753203*x**3 + 12*x**2 + 15*x. Let j be g(5). What is j rounded to the nearest one million?\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/271335 and 21\/80.\nAnswer: 4341360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 461516341 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16c384 (base 15) in base 10?\nAnswer: 1104424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101200111211 (base 3) to base 16.\nAnswer: -33595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**2\/2 - 19*c\/2 + 3.\nAnswer: (c - 1)*(13*c - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 1. Let j(l) = -19*l + 5. Let b(u) = -2*j(u) - 7*r(u). Suppose -4*v = -v - 9. Determine b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsrss. Give prob of sequence rrss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01432 times -26808?\nAnswer: 383.89056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:32 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Let d = 857.51 - 862. Let u = d + -0.51. Put u, -2\/15, j in increasing order.\nAnswer: u, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 43*c + 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.4. Let f = -16 + 12. Let q = 2 - 2. Which is the second biggest value? (a) f (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*a + 2130 - 100*a + 34*a + 1820 + 37*a as z + g*a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*k + 52, -6 - 17 = -2*w + k. Let c(p) = 2*p**3 - 23*p**2 + 8*p + 37. Let y be c(w). Solve 0 = 3*z - y*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69945023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/(-4))\/(18\/120). Let a = 41 + h. Let q be a\/9 + (-6)\/(-27). Is q greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-1))\/(0 - 1). Let j = 13 + a. Sort 0, -2, j in descending order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 7}. What is prob of sequence aaaa?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)\/m*m*m\/m**(-2\/19)*m**(2\/11)\/m**(3\/2) assuming m is positive.\nAnswer: m**(-15\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 15) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h. Let t = -2 - -8. Let p(n) = -9*n - 1. Let b(f) = t*o(f) - 5*p(f). Is b(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13157?\nAnswer: 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 201372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 428\/(-321)*2\/15412. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(15)\/sqrt(5)))\/((sqrt(3)*-2 + sqrt(3))*1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7 + 697*s - 359*s - 358*s. Calculate y(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7636\/897*((-3)\/4)\/(-1) + -6.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -11. Suppose 3 = 4*n - c. Differentiate -2*j + 0*j + n*j - 2 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.3. Let o = -16 + 11. Let r = 73 - 76. Which is the nearest to x? (a) o (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 - 2*w**3 + 8*w**2 = 0. Calculate w.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x + 66*x + 126 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34672 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:45 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*p + 146 = 27, -4*p + 67 = 3*r. Solve -4*a + 2*q - 16 - 6 = 0, 4*a = 5*q - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -24*o**3 - 3*o**2 - 3*o. Let w(b) = 47*b**3 + 5*b**2 + 5*b. Give -5*u(x) - 3*w(x).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6298, 6302, 6308, 6316, 6326, 6338, 6352?\nAnswer: 6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -0.3 (d) 2\/21 (e) -1.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o*z**3 + 3*o*z**2 + 41*o - 38*z**3 - 2*z**2 wrt z.\nAnswer: -24*o - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = 37*q + 785 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120\/(-4140) - 17601\/(-207). Calculate the greatest common divisor of 3043 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325 + 155. Let t = 334 + v. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/14)\/(3\/(-2)). Let u be (-1)\/(4\/8 - 1\/o). Suppose 0 = -0*y + y, -u*y = 4*c. Solve -k = -4, k = 2*q + 4 - c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35553204, 71106351, 106659510, 142212687, 177765888, 213319119, 248872386, 284425695?\n\"Answer: w**3 + 35553140*w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/133302444 and -3\/111085370.\nAnswer: 666512220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 p, and 1 w when four letters picked without replacement from {f: 1, p: 1, w: 1, y: 1, c: 5, q: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 15.99. Which is bigger: 1\/3 or n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 6. Let z be ((-14)\/(-4) + -1)\/(1\/6). Let f be (1\/(12\/z))\/((-10)\/40). Give u(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387 is divided by 451?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*p + 128, -2*p + 44*m + 96 = -6*p + 71*m - 40*m for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:23 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (-44 - -39) - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 149*m**4\/24 - m**2. Let s(u) = 609*u + 999*u + 609*u - 2218*u. Determine s(y(w)).\nAnswer: -149*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/3 (c) -0.5 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 542 - 260?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 194. Let l(z) = -9*z - 5. Let t be l(10). Let q = t - p. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 t when four letters picked without replacement from {t: 3, o: 9, v: 4}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1151b (base 12) to base 4\nAnswer: -11222213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y + 8 + 2*y - 6 + y**2 - 3*y to a*y**2 + o + c*y and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 15, 16*h + 1002 = 20*h - 2*c. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1\/8))*m**(-4\/9)\/m)\/(m**(5\/3)*m**9) assuming m is positive.\nAnswer: m**(-881\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k + 23. Calculate the least common multiple of u(-11) and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/3)\/z)\/z**(2\/3)*(z**(2\/5)*z)**(-48))**(14\/9))**(-39) assuming z is positive.\nAnswer: z**(184366\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + x = 4*u - 31, 2*x = -4*u + 38. Let s be u*(-3 - 39\/(-15)). Let d be (3\/s)\/((-11)\/44). Solve -d*i + i + 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.8176 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*w = -2165, 2*x - 2*w - 1075 = -7*w. Let i = -292 + x. Suppose -10*s + i = -2*s. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = -2*k, 0 = -4*v + 3*k + 6 + 58. Suppose -v - 20 = -2*z. Suppose 0 = -0*s - s + 16. What is the lowest common multiple of z and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4909 - 4916.6. Which is the closest to 17? (a) w (b) 0 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-6 - 7) + -13 - (0 + (0 - 0)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 44 = 4*d, 0*d = y - 4*d - 12. Suppose -5*o + 21 = 4*s, y = 3*s - o - 3*o. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17980 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/516)\/1*1?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (-1 + (sqrt(396) - sqrt(11)))**2).\nAnswer: -50*sqrt(11) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 629 (b) -0.5 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000577776 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 450. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1936912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*r + 2. Sort r, -1, 1.\nAnswer: r, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/12 - f**3\/9 + 3*f**2\/2 + 3*f + 173. Let t(d) = 0. Calculate d.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {y: 5, g: 3, n: 3, l: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/36)\/((-2)\/(8\/(-27))). Suppose -5 = -q - 3*w, -3*w + 3 - 6 = 3*q. Let t(g) = g**3 + 4*g**2 + g + 4. Let n be t(q). Are m and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose 3*a + l - 15 = -3*l, p*a + 3*l = 10. Let d be (a - (-2 - -2)) + 3. What is the highest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1443, 1460, 1491, 1536, 1595, 1668?\n\"Answer: 7*d**2 - 4*d + 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -3, 10, 0.5 in descending order.\nAnswer: 10, 2, 0.5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -2 (c) 12 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 1199\/5?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2 or 19.6?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050080.21 rounded to the nearest 1000?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 13, 33, 71, 133?\n\"Answer: t**3 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 24*v**3 - 44*v - 43. What is the hundreds digit of a(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 28627?\nAnswer: -200389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 2*u - 14, -2*u - 10 = 0. Suppose -2*q = 4*y - 12, -3 = y - 4*y. What is the least common multiple of r and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**6\/60 + 17*l**5\/30 + 3*l**4\/4 - 4*l**3 + 764*l**2 + 2. Suppose 4*a - n = -62, 0 = -2*n - n - 6. Does 40 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 44*k**2 + 427*k + 84. Give j(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 197414*3\nAnswer: 592242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i + 13*i**2 - 1 + 6*i - 16*i**2. Let c(g) = -g**2. Let l(z) = 12*z**2 - z + 4. Let u(y) = -c(y) + l(y). Calculate -4*u(s) - 18*w(s).\nAnswer: 2*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 1 - -5) + -26 + 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*-4)\/(-1*((sqrt(99) - sqrt(11)) + sqrt(11)))*6)**2.\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 2*j - 99, u - 36 = 5*j. What is the smallest common multiple of 27 and u?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 16*a**2 + 599*a - 185. Calculate u(35).\nAnswer: -2495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11*k - 72 = -7*k, 2*a = 3*k + 72. What is the remainder when 357 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 10046.1.\nAnswer: 10045.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281788 and 9308?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 7*t**2 - 26*t**3.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10589, 6, -0.03?\nAnswer: 10589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 9830*m - 9831*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -1 - (-1 - 52). Suppose l = 2*t - 61. Suppose 4*i - 6*i + 4*p = -36, -3*i + 2*p = -t. Calculate the remainder when 38 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1739 and 37481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2153*w**3 - 880*w**3 - 649*w**3 - 628*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/3 + 8*n**3\/3 + 22*n**2\/3 + 4*n = 0. What is n?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + 0.25. Let f = 18 - 16.9. Let l = 0.1 - f. Which is the nearest to 0.2? (a) 1\/4 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 3*p - 2*p. Let k be (-2 - -1) + -1 + 44. Let a(h) = 42 - h**2 - k. What is m(a(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 40*a**2 - 9*a + 28. Calculate the remainder when v(-20) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 5 - 6) + -3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0352623485 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 130. Let w(v) = -15*v + 648. Calculate -33*i(m) + 6*w(m).\nAnswer: 9*m - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 - 4 = 0, -k + 7 = -3*p. What is the biggest value in k, -1, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121122131 + -10210?\nAnswer: 1121111321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2840\/(-355) - (-48 - 4)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 4 = 7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 6 - 31. Let t = 0.61 - 0.11. Which is the second biggest value? (a) g (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -964 - -2119. Suppose 4*t + a + 4*a = i, 2*a - 1465 = -5*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {k: 6, g: 2, r: 3, u: 2, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4 = f, 6 = 3*t + 3. Solve -5 = 3*a + f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -111, -430, -1053, -2082, -3619?\nAnswer: -5766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j - 6*j + 2*j**3 - j**2 - 2*j - 2 + 4*j**4 + 10*j as z*j**4 + t*j**3 + v*j + a*j**2 + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 0.08 (c) 3 (d) -155 (e) -6 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5)\/c*c**(-4)\/c)\/((c\/(c**11*c))\/(c*(((c**10\/c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 29 = 1403 + 1570. Calculate the greatest common factor of 552 and h.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(3\/(-1*18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-11 - (-1 - 4))) + -4 + -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, -0.5, 12, -25 in descending order.\nAnswer: 12, 1\/4, -0.5, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -14, -29206\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f - 2*f)*(-2*f + 4*f - 4*f) - 2*f**2 + 4*f**2 - 20*f**2 + 3*f - 3*f + f**2 + (4*f + 0*f - 5*f)*(2*f - 4 + 4) to x*f**2 + y*f + v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 27*u**2 - 2*u - 30. Let s be g(-2). Let c = s + 126. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + z + 4. Let n be (-108)\/44 - 2*9\/33. What is s(n)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6a + 7?\nAnswer: a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0357 and -0.1285137?\nAnswer: 0.0928137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/11)*g**(-13)\/g*g)\/((((((g**(-10)*g)\/g)\/g)\/g)\/g)\/(g*g*g**(2\/15)*g)))**35 assuming g is positive.\nAnswer: g**(5194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 59, 1, 3 in decreasing order.\nAnswer: 59, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*10\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayaauuuuyycyuyuuaua. What is prob of sequence uua?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - 4*y**2 + 3*y - 2. Let g be u(2). Let l be 9 + 5\/(g\/(-16)). What is the second derivative of 2*z - 5*z**5 + 10*z - 9*z**l wrt z?\nAnswer: -280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(156)\/sqrt(4)*3*-1)\/((sqrt(48) + sqrt(48)*4)*5).\nAnswer: -3*sqrt(13)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38480*n - 38520*n + 40 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 11 = -5*u + 22, -5 = -5*u. Sort 0.02, -0.2, 5, y in descending order.\nAnswer: 5, 0.02, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -5 - -9) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 4. Suppose -7*l + r*l + 28 = 0. Let k = l + -12. Put k, 1, 4 in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - ((-112)\/21)\/(-4). Put 25, q, 5 in decreasing order.\nAnswer: 25, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 + 301 - 17*q + 14*q - 1033*q**2.\nAnswer: -1033*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06671972718 to 6 decimal places.\nAnswer: 0.06672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/6 - 11*y**3\/6 + y**2. Let w(r) = -4*r + 21. Let q be w(6). Let x be p(q). Solve -2*o + 3*o - x = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 12*o**2 + 11*o - 4. Let m(z) = z**3 + z**2 + z. Let h(b) = -5*m(b) + q(b). List the prime factors of h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -109. Let g = -1006 + 1510. Suppose 0 = -c*t + 14*t - g. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331021 (base 4) to base 14.\nAnswer: 15d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 14190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 68. Let u be p(20). Let x be 2081\/156 + u\/12. Let m = -25\/13 + x. Calculate the common denominator of -9\/32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413\/(-6608) + 1677\/(-48)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:49 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277738 by 6.\nAnswer: 138869\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 22*j**2 - 21*j + 2. Let d be 11\/(-22) - (-164)\/(-8). Let z be h(d). Solve -21 = -5*n - z*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*q - 617*q - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/19 - 34*h**3 - 12306*h**2\/19 - 56610*h\/19 - 76356\/19 = 0.\nAnswer: -303, -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 290 - 55 = -5*l, -4*s - 69 = -l. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 16237*y - 16244*y + 32462*y.\nAnswer: -19*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25506 (base 7) in base 11?\nAnswer: -50a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 + y + 3. Let w be r(-6). Let h be (1\/w)\/((-5)\/45). Solve 4*m - h*k - 10 = 0, -2 = 2*m - 4*k - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39153.\nAnswer: 3, 31, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. Let m = -3 + p. Suppose -12 = -0*f + m*f. Let h(i) = i**2 + 2*i - 5. Calculate h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13715 - 5?\nAnswer: -13721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.097 and -2.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30844775 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-760)*209*(1 + 3\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25925, -51910, -77895, -103880, -129865?\nAnswer: -155850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/32 and -123\/15320.\nAnswer: 61280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3516 (base 11) to base 3\nAnswer: 20022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h - 7*h + 2*h**3 - 2 + 2 + h**3 + (-1 + 0 + 2)*(h**3 - 3*h**3 + 0*h**3).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5e (base 16) to base 7\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/24 - i**3\/6 - i**2. Let t(y) = 3*y**2 - 21*y - 7. Let l(d) = 5*m(d) + t(d). What are the prime factors of l(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 2156334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 - 10*n**3\/3 + 8*n**2 + 30*n + 2634. What is d(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/5 + 2*w**4 - 13*w**3\/5 - 12*w**2 - 36*w\/5.\nAnswer: -w*(w - 6)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**3 - 3*k**2 - 2*k + 1. Let d be q(-1). Suppose d*s - 38280 = 2*s. What is s rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100100100110011 (base 2) to base 14\nAnswer: 14ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 39. Let k be y(0). Let u = 62 - k. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 51. Suppose -8*s + 150 = -v*s. Suppose l - s = -4*y, -3*y = -0*l - 5*l + 79. Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 101*q + 6996. Let f be n(-119). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2 - 1 - 3 + 8*k. Let j(z) = 17*z - 13. Let q(l) = -l**3 + l**2 + l - 6. Let m be q(0). Let f(s) = m*j(s) + 13*g(s). Let i(r) = r. Give f(i(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/54 - (-7427195)\/513?\nAnswer: 2, 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/1173?\nAnswer: 2\/1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 0, -n + 7 = -0*s + 2*s. Let f be 34\/(-85) + 22\/n. Let c(w) = w - 3. Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/1632 + 3131\/217056. Let a = g - -923\/532. Factor 5\/4*f**3 - f**4 + a*f**2 + 0 - 1\/2*f.\nAnswer: -f*(f - 2)*(f + 1)*(4*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 + 51*z - 36*z - 39*z = 0. Calculate z.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.4961 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1910 + -1909 - (2 + 1 + -102 + 4).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s + 11*s + 0*s + 7*s. Let x(v) = 4*v**2 + 12*v + 4. Let h(k) = 4*k**2 + 15*k + 5. Let g(m) = -4*h(m) + 5*x(m). What is a(g(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 4*k**2 + 6*k + 7. Let z be u(-5). Suppose -z = 2*p - 3*p. Suppose d = p + 2. Solve -3 = -d*r - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -21*r - 5*t + 16, -t + 24 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-22) + (-5)\/(-2))\/(-1). Let t be 5\/a + (-150)\/(-90). Suppose -216 = -3*y - t*y. Calculate the highest common divisor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22016, 44307, 66884, 89747?\n\"Answer: 143*i**2 + 21862*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.09 - -15. Let s = -4.09 - n. Put s, -0.1, 3\/5 in descending order.\nAnswer: 3\/5, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9387 + 9429. Calculate the greatest common divisor of 70 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 4, v: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Put 197, 1, 4, -2 in descending order.\nAnswer: 197, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 6*p + 7. List the prime factors of m(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 - 7*c**3\/6 - 9*c**2\/2 - 3*c. What is the smallest common multiple of 7 and q(9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*k**2 + 414 - 414)*(-3*k**3 + 2*k**3 + 2*k**3) + (-2*k**5 + 4*k**5 - k**5)*(-3 - 1 + 3).\nAnswer: -53*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 2*c**4 + 0*c**4 + (104*c - 17*c**2 - 104*c)*(-c**2 + 3*c**2 - 3*c**2) - 2*c**2 + 2*c**2 + c**4.\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1759755 divided by 5.\nAnswer: 351951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2018 - 1907.9. Let n = 102 - w. Let h = -0.5 + n. Round h to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, o: 3}. Give prob of sequence uouu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239 or 6?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 46540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221821 + -222011.367. What is n rounded to the nearest integer?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 4*f. Let a(v) = -2*v**3 + 12*v**2 + 9*v. Determine 4*a(s) - 9*g(s).\nAnswer: -8*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 12*b + 40. Suppose -60 - b = -10*z. What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -125462606 and 6.\nAnswer: -125462600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 - 74 = 0. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4*1603\/(-4592) + (-15)\/20 and 7\/124.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 316.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 19*f + 205 = 0. Solve 0 = f*x + 7 + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.7 + -13.1. Let l = -23 - -51. Let q = 30 - l. Put q, d, 5 in descending order.\nAnswer: 5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 t when three letters picked without replacement from ftftftffffitftffftft.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2967*o - 2 - 11 + 28 - 15 to the form v*o + n and give v.\nAnswer: -2967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(3*b + 0*b - b) + (9*b + 9*b - 5*b)*(2*b + 10*b - 6*b).\nAnswer: 82*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*d = -12, -2*d - 9 = d. Let o(v) = 188*v**3 + 2*v - 2. Calculate the least common multiple of o(x) and 28.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20428352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25002302 (base 6) in base 13?\nAnswer: -21a355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*p - 391*p - 34*p**3.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 57. Let o = 16 - n. Let h be 3 + o\/4 + -3. Put -4, -5, h in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 64910 + 1909 + 1261. What is the least common multiple of v and 3920?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206 and 38.\nAnswer: 3914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 7 - 3 = -5*y, 4*b = -5*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1109 + -752. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-70 + 10 + 5).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 816?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 84. Which is the fourth biggest value? (a) k (b) -1 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51242 or -51298?\nAnswer: -51298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6253 - 6252.83538. Let k = h + -0.164. Round k to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000122 - -10101?\nAnswer: -220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4872 and -7?\nAnswer: -34104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 159\/13004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**(-3\/8)*(o*o*o**(1\/2)*o)**(2\/23)*((o\/o**5)\/o*o**(-1)*o)\/((o**(1\/6)\/o)\/o**(-1\/5)) assuming o is positive.\nAnswer: o**(-12247\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.103 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -495, -1554, -3607, -6984, -12015?\nAnswer: -19030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/(b\/b**(-2\/7)))\/b)*b*b**(-1\/5)*b*((b*b*b**(-3\/8)*b*b)\/b)\/b*b*b*b**7 assuming b is positive.\nAnswer: b**(4119\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.3 - -38.17. Let j = -2.03 - -1.9. Let h = w - j. Which is the nearest to h? (a) 1\/5 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153 + 152 + 22*f - f**4 + 0*f**3 + 0*f**3 + f**2 in the form h*f**2 + u*f**3 + k*f**4 + z*f + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:03 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119 + 4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*2)\/sqrt(7))**2 - ((-2*sqrt(102))\/sqrt(6))**2 - 4*(sqrt(102)*3)\/sqrt(6).\nAnswer: -12*sqrt(17) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 4. Let d be i(4). Suppose -4*o = 5*p + o + 100, -p - 44 = -5*o. Let n be (-4)\/10 - p\/10. Sort d, 4, n.\nAnswer: d, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1130 and 2?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*v, 40*g - 44*g = -v - 711. Suppose -16*p = 3*d - 20*p - 198, -g = -3*d - 3*p. What is the remainder when d is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456964 is divided by 566.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let l(n) = h*n + 0 + 0*n - 5 + n**2. Let q be 5\/10*-4 + -2. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -36*u - 2. Let z(m) = -2*m. Determine z(x(s)).\nAnswer: 72*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -779 - -770 - (-2 + (3 - 0)) - 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from mgamgxqxqqemgemegqe?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.53873816 to four dps.\nAnswer: 2.5387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + -102. Let a be -4 - 9\/(z\/(-1570)). Let x = a + 108. Is x at least as big as 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 268aa540?\nAnswer: -268aa549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 15*r**2 + 13*r + 18. Let d be q(14). Solve 5*z - 26 = z + 2*v, -2*z = 2*v - d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 + 0 - 13. Let s be 4\/3*(-75)\/t. Let v = -9 - -19. Calculate the greatest common factor of v and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8447627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*p + 6 + 97*p - 8 + 230*p + 276*p as o + y*p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1526.77283 - 556497\nAnswer: -554970.22717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**4\/12 - 14*m**3\/3 + 10*m**2 - 4*m + 4. What is the units digit of y(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, 0.02, 2, 3 in ascending order.\nAnswer: 0.02, 1\/22, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 2, u: 4, s: 1, i: 1, h: 3}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9320 + 130385\/14. Let j(i) = i**3 + i**2 - 1. Let f be j(0). Calculate the common denominator of f + 0 + 142\/(-156) and r.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1449227 + 1449227 + 147*x.\nAnswer: 147*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 1, 6509, -5 in increasing order.\nAnswer: -10, -5, 0, 1, 6509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288.051065us in weeks?\nAnswer: 0.0000000021297140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2149441 to the nearest 10000.\nAnswer: -2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*a + b - 189, -5*b = 5*a - 450. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 - 170. What is the least common multiple of d and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2. Let a(y) = -12*y - 89. Calculate -a(u) - 5*z(u).\nAnswer: 2*u + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h**3 - 1\/2*h**4 + 0*h**2 - 3*h + 1. Differentiate i(r) with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 - 5*k - 17. What is b(-10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 86, 0.2, 6\/7, 5\/6, 1\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -202190872?\nAnswer: 202190876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - 1.3. Which is the nearest to -2\/7? (a) -2 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 4*t = 66, -2*a + 30*t = 35*t - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 3 (b) 4400 (c) -1 (d) -3\/8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 6. Let r be z(-2). Let h be ((-2)\/(-5))\/(r\/170). Is 27 a factor of -10 + h - (1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1147, 49.\nAnswer: -1147, -13, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = s - 35551, s + 6*u = 4*u + 35563. Let c = 2346847\/66 - s. What is the common denominator of c and 133\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 9*g - 266. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + -132. Let y = 162.00117 + g. Round y to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3. Let v(t) = -8*t**3 + 4*t**2 + 5*t - 1. Let g(j) = j**2 + j. Let o(d) = 4*g(d) - v(d). Give -2*o(m) - 6*x(m).\nAnswer: -10*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2736) + 1*sqrt(2736) - (-2*sqrt(19)*1 + sqrt(19))))**2.\nAnswer: 150*sqrt(19) + 11884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:17 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 + 6064*x**2 + 2248976*x - 37552384 = 0. What is x?\nAnswer: -766, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52837.5582 seconds to weeks.\nAnswer: 0.0873636875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2 - 1. Let y = 382\/5 + -76. Which is the closest to y? (a) p (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 270 = 5*h. Calculate the highest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n\/(((n\/(n\/((n**(7\/4)*n)\/n)))\/n)\/n)*n)))\/n**(-9\/5))**(-24\/5) assuming n is positive.\nAnswer: n**(-606\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 13*j**2 - 15*j + 20. Suppose -239*y = -247*y + 112. Give c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:11 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (72\/8 - 4)) + -1. Let i(s) be the first derivative of 2\/3*s**3 + c*s + 0*s**2 + 9. Let o(u) = u. Determine o(i(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(10\/575) + -4. Suppose -4*b + b = z. Let f = 44 + b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5420802\/11 or -492800?\nAnswer: -5420802\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345157, 345665, 346173?\n\"Answer: 508*a + 344649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1954 (b) 0.1 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 9 + 8 - 94)*(1 + 6 - 1).\nAnswer: -12*t - 462","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13113048, 13113045, 13113040, 13113033, 13113024, 13113013?\nAnswer: 13113000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**4 + 5*f**3 - 5*f**2 + 1. Let c(b) = -7*b**4 + 8*b**3 - 8*b**2 + 2. Let s = 2 + -7. Let u(m) = s*c(m) + 8*v(m). Differentiate u(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 173\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 83*t**2 + t + 475. Let r(c) = -4*c**3 + 81*c**2 + 475. Let h(l) = -3*d(l) + 2*r(l). Find the second derivative of h(q) wrt q.\nAnswer: 6*q - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00721 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -343, -0.3, 0.3 in increasing order.\nAnswer: -343, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-324)\/4050?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a06a - -3?\nAnswer: a06d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18872, 76225, 171810, 305633, 477700?\n\"Answer: v**3 + 19110*v**2 + 16*v - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**4 + 0*c**4 + (-c**3 - c**3 + 3*c**3)*(-1778*c + 862*c - 1219*c)*(2 - 1 + 0).\nAnswer: -2133*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (50\/(-4))\/(-5)*2. Suppose 3*k + 2*z - h = 0, -4*z - z = -k - 4. Let o = 4 - 3. Calculate the lowest common multiple of o and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -2, -3, -90.\nAnswer: -90, -3, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1 + 6\/(-7)). Suppose 3 + g = -s + w, 22 = -s + 5*w. Let c(o) = -7*o + 10. Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 6*g - 9. Let y be x(-6). Let f = 19 + y. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*-3 + -1 + (-3*-1*sqrt(45))\/sqrt(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 324 - 537*d**2 + 1064*d**2 - 530*d**2 in the form m + s*d**2 + i*d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gin when three letters picked without replacement from {g: 1, c: 1, n: 1, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7197, -7943, -8687, -9429?\n\"Answer: x**2 - 749*x - 6449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let f(j) = 23*j + 4. Let n(p) = -f(p) + 4*l(p). Let t be n(-3). Let q = t - 16. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 1, o: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29791*i**4*r + 1012*i**2*r - 4*i*r + 5 wrt i?\nAnswer: -714984*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-22)*(3 - 38\/3) and 284\/(-162)*(-63)\/(-42).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/(4\/(-8)). Let t(i) = -2*i. Let r be t(j). Let d(g) = -g**3 - 4*g**2 + 2*g. What is d(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -28*g + 187. Determine t(10).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 4623.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(2\/12*-1). Suppose h*f + 3*c = 69, 2 - 40 = -f - 4*c. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1503.9 times 2\nAnswer: 3007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -42. Let l(t) = -5*t**3 + 2*t**2 - t - 13. Let n be l(-2). Calculate the greatest common factor of n and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-15) - 144\/(-20). Let o(r) = 5*r + 4. Is 12 a factor of o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26\/9? (a) -1 (b) -88 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/32))**(-32))**(-1\/8) assuming p is positive.\nAnswer: p**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/210*(-3)\/(-26)*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 331210 (base 4) to base 2\nAnswer: 111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.54 and -8638.\nAnswer: -8640.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2417434, -5, 4 in descending order.\nAnswer: 2417434, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + f - 3*f)*(-2 + 2 - 2*f + (3 - 4 - 3)*(5*f - f - f) + 0*f + 5*f - 4*f - 4*f + 2*f + 0*f + 17 - 7*f - 17) to a*f + x*f**2 + b and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50860 + -187151.3.\nAnswer: -136291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/27))**(-2\/3)*(y\/((y**(-2\/43)\/y)\/y))\/((y\/(y\/((y*(y*y**(-3\/19))\/y)\/y)))\/y))**(1\/16) assuming y is positive.\nAnswer: y**(281503\/1058832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919118?\nAnswer: 2, 41, 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1176 and -1174 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + 184\/48 - 17528\/(-3756).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -5baa?\nAnswer: -5bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13078*-7*(-8)\/(-112). What is k rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20207\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*w + 5*s, 0 = 2*s - 5 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (4 - -3)*24\/84. Solve y = -4*m, 36*n - 2*m - 6 = 33*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and 1\/(-3*(-4)\/(-76))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5231\/6 > -873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:53 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/399 + 2\/57. Suppose 4*j - 3*j - 5*t = 20, -t = -j + 8. Let w be 0 + 2 + 5\/(-2). What is the closest to -2\/7 in w, i, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) 4 (c) 1\/5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -1)\/3 + -1. Let y be (i\/3)\/((-10)\/(-45)). Let n be (42\/(-15) - y)*-3. Which is the nearest to -2\/7? (a) 0 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-14) + (-18)\/(-4). Suppose g*o + 48 = 4*o. Suppose 30 = 5*b + 4*k, 5*b + 5*k - o + 13 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -141*(2\/(2\/(-3)) - 0). Let f = h + -200. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5480 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j + 24*j + 22*j + 20*j - 82*j + 6*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29945 = 3*d - 37*d + 30693 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-6\/11)\/(z**2)**(-4\/3) assuming z is positive.\nAnswer: z**(167\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -59*z**2 + z - 31008. Let y(t) = -4*t. Determine y(a(d)).\nAnswer: 236*d**2 - 4*d + 124032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - 236?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*j + 2 + 18*j - 4*j + 3*j + (0 - 3 - 9)*(-2*j + j - j) + 2*j + j - 5*j - 2*j - 4*j + 0*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/2*(27\/57)\/((-46)\/874)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2845*g - 22964. Determine u(-8).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + z)*(21 - 13 + 3).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 79 + 5*f to a*f + g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o + 64. Let r(u) = 2*u - 21. Let j(z) = -5*m(z) - 16*r(z). What is j(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681484.7 weeks in minutes?\nAnswer: 6869365776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 59*z - 36. Let j be i(31). Calculate the highest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -501, -555, -629, -729?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55421 + 218110 = 37*v. What are the prime factors of v?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f - f**2 + 9*f + 1 + 5*f. Suppose m - 56 = -3*m - 4*c, -c = -m + 4. Let o be v(m). Solve 3*i = o - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36720 and 1480?\nAnswer: 1358640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-4)\/3)*(-137172)\/(-1491)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-3)\/(-42)*10 - (-12179)\/(-4487). Let o(d) = d**2 - 3*d - 2. Let i be o(2). Put -2, i, -1, g in increasing order.\nAnswer: i, g, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*u + 6 = -0*u, 3*v - 2*u = 14. Let o(r) = -r - 4. Let k be o(-5). Let p = k + v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96682 and 502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 533, 1199, 2133, 3335?\nAnswer: 4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000184444551 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 12*b + 29. Let u(v) = -v**2 - 4*v - 4. Let y be u(-5). Let d be r(y). Let s(o) be the first derivative of -7*o**2\/2 + o + 1. Calculate s(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-3)*(-15)\/50. Which is the second biggest value? (a) v (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - -75. Let h = 108 + n. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w + 1553. Let t be u(-74). Put 204, 4, t, 0 in decreasing order.\nAnswer: 204, 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/30 and -1\/3991925.\nAnswer: 23951550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4 (c) 0.41 (d) 0.1 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*q**3 - 22*q**3 - 2*q**2 - 27*q**4 + (-3*q**3 + 2 - 2)*(-4*q + 2*q + 0*q) to s*q**2 + b*q**3 + g + j*q + n*q**4 and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/9)*d**(1\/9))\/((d\/(d*d*d**5))\/(d**2\/d)) assuming d is positive.\nAnswer: d**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-11 - -1)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = j, 5*i - 8 + 13 = 5*j. Sort -4, -175, j, -3 in descending order.\nAnswer: j, -3, -4, -175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let p = -43 - -38. Let l be 1\/p - (-154)\/70. Let t(c) = -2*c - l + 2 + 5*c. Determine t(w(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7059706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s + 2*s - s + 0*s - 3*s + (3 - 3 + s)*(1 + 2 - 2) - 3*s + 5*s + 0*s)*(s - 2 + 2) - 2*s**2 - 2*s + 2*s + 2*s**2 - 5*s**2 - 2*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(171) + -4*sqrt(171)*-2 + sqrt(171)).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1\/4 (b) 2\/5 (c) 1\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, -6379, 5, 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooqqqoqo. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136804 by -899.\nAnswer: 136804\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.01. Let d = v + 0.37. Let n be (-2)\/9*3 - (-11)\/33. Which is the closest to 0? (a) n (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 at most 443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 10. Let d = t - -8.5. Which is the smallest value? (a) 5 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*r - 6105 + 8393 = 11614 + 8406 for r.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11) + 1*sqrt(11)))**2 + -5.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(3\/(-36)). Suppose 0 = x*p - 642 - 442. Let a = -48 + p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - 115\/2)*(-3)\/(-30) and (97\/(-3))\/((-14)\/(-3))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(5*q + 0*q - 3*q) - 2*q + 0*q + 3*q + 3*q + q - 5*q + 0*q + q - 3*q + 76*q + 55 - 55 to the form h*q + u and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -300 (d) -0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)\/l)**(-40))**31*(l**(-6)\/l*(l**(-4\/9)\/l*l)\/l)**(-1\/28) assuming l is positive.\nAnswer: l**(97669\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n*n*n**(1\/3)*n**(4\/3)*n*n\/n**1)\/(((n\/(n**(-5\/4)*n))\/(n*n\/(n*n**1)))\/(((n\/(n*n**(-6)*n)*n)\/n*n)\/n**(-2\/11))) assuming n is positive.\nAnswer: n**(739\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5\/2 - 53*a**4\/2 + 497*a**3\/2 + 813*a**2\/2 - 2115*a - 1512 = 0?\nAnswer: -24, -3, -2\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31300000 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-3 - -3 - 85588). Let k be (z\/11)\/(2\/2). Factor 24*f**2 + k*f - 7781*f - 3*f**3.\nAnswer: -3*f**2*(f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -759 - -22932. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*y - 3*a, 5*y + 2*a = 12*a - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1042*g - 9816. Calculate a(-9).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(-1) - -2. Suppose -s = -v*h - 214205, 4*s - 3*h = -6*h + 856745. Suppose -4*i - 2585810 = s. Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**3\/2 + 7*j**2\/2 + 3*j. Let y(v) = 5*v - 13. Let f(t) = -11*p(t) - 6*y(t). Differentiate f(b) with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, g: 3, c: 9}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19868631 and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {u: 3, a: 1, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12851333 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(3\/5)*y))\/(y\/y**(1\/8)))\/(y**0\/y)**(-21) assuming y is positive.\nAnswer: y**(-939\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1621 - 14688 = -3*a, 2*a - 2*l - 8706 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16977090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 134988, 539639, 1213958, 2157945, 3371600?\n\"Answer: 134834*u**2 + 149*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6393 - 6413 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (-6 - (-12 + 6 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3*y - 11571*k*y - 225*k + 294610965*y wrt k.\nAnswer: -6*k**2*y - 11571*y - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -y + 648669, h + 1060472 = 3*y - 885513. Suppose 4*r - 1395339 = y. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4 + 819*y**3 + 177885*y**2 - 1838775*y + 4646250 = 0 for y.\nAnswer: -150, 5, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 1399, 3, -65 in descending order.\nAnswer: 1399, 5, 3, 0, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 52.188387339563?\nAnswer: -52.088387339563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + 0.40429182947?\nAnswer: 107.40429182947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/6 - 7*c**3\/6 - c**2. Let m(x) = 3*x - 6. Give 5*b(n) - 6*m(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let f(c) = -6*c + 5. Let y(q) = f(q) + 5*g(q). Let i = 1 - -9. Let t(d) = -10*d + d - i*d - d. Give y(t(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 30, 61, 116, 201, 322, 485?\n\"Answer: l**3 + 3*l**2 - 3*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -21, -43, -83, -147, -241?\n\"Answer: -d**3 - 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**9\/7560 - w**7\/350 - 2*w**6\/225 - w**5\/100 - 17*w**3\/6 + 17*w. Let u(d) be the second derivative of m(d). Factor u(h).\nAnswer: 2*h*(h - 3)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 + 3*m**2 + 11*m + 2457. Suppose -21 = -2*q - 3. What is v(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**36*l\/((l**17*l)\/l*l)*l*l)\/(l**(-29)*l\/(((l*l*l\/l**(2\/13))\/l)\/l)))**44 assuming l is positive.\nAnswer: l**(29084\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -1. Suppose -1 + 5 = f. Solve 4*u - 3*g + p + 7 = 0, -2*u = -f*g + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-2)\/(-1 - 5). Let l = 31 - -44. Let z = l + -74.9. What is the second smallest value in w, -4, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(117) + 2) + 2 - (sqrt(117) + -1 + -1 - (-4 + sqrt(117) + sqrt(117) + -6*sqrt(117))))**2.\nAnswer: -120*sqrt(13) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -6 + 13)*(-8)\/(-6). Solve u*g - 4 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2376892 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j**3 + 72*j**3 - 18*j + 69*j**3 + 48*j**3 + 12*j.\nAnswer: 146*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose -5*m = 5*n + 15, -n + o*n - 21 = 3*m. Factor a - 4*a + 4 + 0*a + 2*a**n - 3*a.\nAnswer: 2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + b**2 + 39*b - 88. Let w be y(3). Let r(k) = 3*k**2 + 46*k - 39. Determine r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-204) + (-538)\/238. Let u = 81 - 81. Which is the closest to i? (a) 1\/3 (b) u (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:38 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48 - 54)*(-7)\/3. Suppose 5*w - 67 + 22 = 0. Suppose -5*p - 112 = -w*p. Calculate the greatest common factor of p and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:06 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -160, -625, -1402, -2491, -3892?\n\"Answer: -156*n**2 + 3*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301230100 (base 4) to base 12.\nAnswer: 99954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(30\/(-10)))\/((-57)\/(-19))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/7, 0.3, -19335?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 56 + -36 + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.539 + 0.461. Let x = m + -194.8. What is the nearest to -0.1 in -7, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577822190 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -15021.\nAnswer: -10\/15021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 1, k: 2, n: 1}. Give prob of picking 3 s and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21019?\nAnswer: 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 1. Let i be h(-2). Let k = -3 + i. Solve 1\/4*y**k + y + 1 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - 2*w - 2. Let k be c(3). Suppose -5*m + 10 = -k. Let b = 22 - m. Calculate the highest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 61. Let p be 1\/c*(-255 - 3). Let k = -148 + p. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - -0.1. Suppose h + r - 18 = -2*h, h - 6 = 2*r. Suppose 0 = 2*p + h. What is the second smallest value in u, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 86769.88 days?\nAnswer: 124948627.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(204) + (1*sqrt(204) - sqrt(204)))*-5)\/sqrt(192))**2.\nAnswer: 409\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-17.985.\nAnswer: 8.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 17*f + 4. Let i be l(17). Suppose 693 = 3*j + 3*u, -5*j + i*u = -6*j + 216. List the prime factors of j.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29602 and 0.1.\nAnswer: -2960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y + 39. Let a be d(2). Let t be 1\/(2\/(-12)*-2). What is the third derivative of 0*i**a + 0*i**t - 67*i**5 + 81*i**5 + 15*i**2 wrt i?\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346*l**3 - 22*l**4 - 346*l**3 + (-4*l**2 + 0*l**2 - 2*l**2)*(3*l**2 - 2*l**2 - 3*l**2))*(3*l - 5*l + 0*l).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u - 5*n, 0*u + 4*n - 12 = -4*u. Suppose u*c + 16 = -c. What is the third biggest value in 2\/11, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 112 + 23 - 11*r**2 + 24 - 11*r**2 + 33.\nAnswer: -22*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5606 divided by 2?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:15 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 223003 and 291.\nAnswer: 669009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-9)\/(-55))\/(4\/(-70)*2877\/(-548))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 26*r - 7. Let y be t(2). Is 27 a factor of (-6)\/y - (-7294)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 11.976\nAnswer: 167.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*l + 54*l + 456*l**2 - 2 + 51*l + 58*l in the form i + n*l + t*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3330b4 (base 12) to base 6.\nAnswer: 25240344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10213313 - 2131?\nAnswer: -10222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1948115*i**2*s**2 + 4*i*s - 8*s**2 + 1646*s wrt i.\nAnswer: -3896230*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.054 - 1.042. Let h = i + -0.012. What is the third smallest value in 1\/4, 0.4, 6, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9123.3 and -53648.\nAnswer: -62771.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18531165 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**3 - 33*w**3 + 4158*w - 8314*w + 4156*w + 13*w**3 + 23*w**3.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-15))\/(4\/(-12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51\/15*3*45\/1 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 8 = 0, 0 = -v + 3*w + 68. Let o = v - 52. Calculate the highest common divisor of o and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2. Let p(n) = 2580*n - 7. Calculate p(g(j)).\nAnswer: 20640*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -67, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 356761091 and 0.2?\nAnswer: 71352218.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d + 266c2c?\nAnswer: 266c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 9. Let u be (2\/(-3))\/(i\/3). Let p(k) = k + 10. Let w be p(-11). Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 713*z**3 + 15*z**2 - 30461*z wrt z?\nAnswer: 4278*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 19. Suppose -o*l = -10*l - 4. What is the units digit of 414\/10 - l\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22340 + 11314 + 2*f + 11021 + 9*f.\nAnswer: 11*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 24*r**2 + 3*r. Let x be n(-2). Suppose 2*w = j - x, 0*j - 210 = -2*j - 2*w. Suppose -54 = -2*i + j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 118475 = 3*v, 0 = -2*v + o + o + 79010. Round v to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jmmcmcmmmjmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*m. Suppose m = -2*n - 17 + 21. Let k(x) = 2*x + 1 - x**n + 4*x**3 - 5*x**3 - 2*x. Let h(f) = -6*f**3 - 5*f**2 + 3. Calculate -h(l) + 5*k(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -409, -883, -1537, -2365, -3361, -4519, -5833?\nAnswer: -7297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*n + 12, 0 = 3*r + 9*n - 8*n - 8. Solve 0 = -4*a + r*d - 4*d + 22, -11 = -a - 3*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39935883?\nAnswer: 3, 13, 227, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.2 and -169890861.\nAnswer: -169890854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = o - 8, 5*o - 2*f = 43. Let n = 15 - o. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4 + 27. Let d = -63 - -103. Let w = d - u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 0.1, 2\/5, -6, -2\/39 in decreasing order.\nAnswer: 2\/5, 0.1, -2\/39, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 12:26 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11*j + 12*j = 19, 0 = 2*k - 5*j - 49. Let r be ((-2)\/1 - -2)\/(k - 11). Solve -3*y - y + 2*s - 22 = r, 7 = y + 2*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -22361?\nAnswer: -22365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 16 + 7357*q**3 + 18 + 10.\nAnswer: 7357*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*c**3*z**3 - 2*c**3*z**2 + 9*c**3*z - 8*c**3 + 14*c**2*z + 86*z**4 wrt z.\nAnswer: -504*c**3 + 2064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 312*f**2 + 56*f**5 - 312*f**2 + (-2*f**3 + 0*f + 0*f)*(2 - 2 + 2)*(-2 + 2 - 2*f**2).\nAnswer: 64*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21612 = -2*k, 2*x - 10988 = -5*k + 43054. Suppose 0 = 28*h + k + 46590. What is h rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 3*x - 369*x**3 + 0*x - 854*x**2 + 861*x**2.\nAnswer: -369*x**3 + 7*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074184443 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*r**2 + 1 + 0*r**2 - 61*r**2 - 37*r**2 + (-4 + 4 + 2*r)*(-2 - r + 2) + 3*r**2 - r**2 + 2*r**2.\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223948.\nAnswer: 2, 55987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 509905 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353968 divided by -1256?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-4))\/(555\/(-370) + 10\/8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 16 + (110 - 47) + -32\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -v. Suppose 3 + v = 4*o. Let y(u) = -455*u + 2747. Let n be y(6). Solve 2*g + 4*r + 6 = o*r, -r = -4*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*z + 471, 2*v + 63 = -3*z + 312. Calculate the greatest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*(3 - 4 + 2) - 13 - 7 - 31*t + 19 + 0 + t + 0 + (5 - 1 - 2)*(-4*t - 2*t + 7*t).\nAnswer: -27*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 241768728 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 1 - (3 - 4). Suppose -4 = -5*d + q. Is 2\/5 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 17. Let c be l(14). Let v = 47 - c. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199912195*j - 84240985?\nAnswer: 199912195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**2 - p. Let z be o(-1). Suppose 0 = 4*n + r - 62, 3*n - 13*r - 47 = -14*r. Calculate the common denominator of 3\/z*292\/(-12) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1855)\/742*(7 - 31)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38931042, -38931044, -38931046, -38931048, -38931050, -38931052?\n\"Answer: -2*q - 38931040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-5))\/(2360\/(-1475))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4968.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*j - 41045 - 34290. Calculate the remainder when j is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Suppose -4*v = -3*r + 29, -2*r - 6*v - 9 = -3*v. What is the greatest common divisor of r and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Suppose 0*b - z*b = -18. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -235 - 35?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*z - 222*j - 82*u*z**4 - u*z**3 + 2*u with respect to z.\nAnswer: -j - 328*u*z**3 - 3*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 453 or 450?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30426 + -1673377\/55. Let g = p + -4\/11. Let l = 49\/75 - -1\/75. Which is the biggest value? (a) 0.1 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 42884?\nAnswer: 16982064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -641.\nAnswer: -192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478058 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*z + 43 - 57 = 0, -6*z + 4*z = 2*t - 0*z - 3*z + 14 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 10\/3, -2\/11, -3\/401?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175567 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 1\/1260*r**7 + 0*r**6 - 1\/60*r**5 + 104 - r**2 + 0*r - 1\/12*r**3 - 1\/18*r**4. Determine a so that g(a) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 374. Let u(k) = -5*k + 380. What is -4*i(l) - 5*u(l)?\nAnswer: l - 404","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 1, l: 2, d: 1, s: 1, c: 2}. What is prob of picking 1 c, 1 m, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 25350*u + 230\/9*u**4 - 2\/9*u**5 + 11180*u**2 - 8660\/9*u**3 + 13182 = 0. Calculate u.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 825767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:33 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 1, g: 8, o: 1, z: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37\/4, -4, 0, 5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*q*w - 110450*l*q + 6750*l*w + l + 3*w + 2 with respect to q.\nAnswer: -2*l*w - 110450*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjiyyzf. Give prob of sequence fjyi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 + 9*c + 2. Let s be v(7). Let h = -45 + s. What is the least common multiple of 16 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 519 + -4663\/9. Let v = 58\/45 - u. Put 0, 4\/5, v in decreasing order.\nAnswer: 4\/5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1874763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 53 - 703*u + 16 + 11 + 16 as y*u + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 13*k + 17. Let y be k + ((-25)\/10 - 51\/(-6)). Factor -4*o**3 - 2*o**2 - 8 + 2\/3*o**y + 40\/3*o.\nAnswer: 2*(o - 6)*(o - 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j + 78*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from jqeherjcecj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in millimeters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-73980)\/(-48))\/(6\/19200). Round w to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -5.7. Let y = -8 + 3. Let u = y - q. Which is the biggest value? (a) u (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44008 rounded to two dps?\nAnswer: 3.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/1)\/((-2)\/(-3)). Let i(w) = -49*w + 6387. Let v be i(120). Calculate the greatest common divisor of v and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-174)\/(-5))\/(6\/40). Suppose -2*t + s = 2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14379 - 14302. Suppose 4*u + 2*t - 266 = 0, 4*u + 5*t - 162 = 119. Calculate the remainder when h is divided by (-6)\/(-4)*u\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3 + 4. Let a(w) = w**5 + w. Let v(o) = o**5 + 3*o**2 + 6*o. Let x(t) = f*v(t) + 6*a(t). What is the third derivative of x(s) wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267965 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/25, -106\/7, -4, 1, 0.4, -1 in descending order.\nAnswer: 1, 0.4, -12\/25, -1, -4, -106\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (3 - 15) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - v - 1. Let c(m) = -4*m**2 - 14*m + 3. Calculate -c(b) - g(b).\nAnswer: 2*b**2 + 15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.153251 take away -420?\nAnswer: 418.846749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from ttxtgttttgtx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0 - 2\/5*q**5 + 1\/3*q**3 + 1\/2*q**2 + 0*q**4 + q. Let b = -55 + 54. Determine h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 50?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n + 6*n - 5*n + (n - 4*n + n)*(-1 + 0 + 3) + 4 + n - 4 + 2 - 2 + 2*n - 112*n - 37*n + 15*n.\nAnswer: -128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5\/d)**37*d*d**(1\/3)*d*d\/(d*d\/(d*d*d*d**8\/d*d*d)) assuming d is positive.\nAnswer: d**(595\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.096 * 0.0864.\nAnswer: 0.0082944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888922361?\nAnswer: 888922361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/360)\/(1180\/1888).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299*k**6 - k**5 - 3*k**2 - 203*k + 3 wrt k?\nAnswer: 35880*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -4. Let f = -32 - -54. Let q = f - 17. Put q, 0, c in descending order.\nAnswer: q, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 11*j = 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5789, -2573, -16509, -36019, -61103, -91761, -127993?\nAnswer: -169799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-23 - -35) + 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111021113 - -1101?\nAnswer: -111020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4))**35)**(-18) assuming o is positive.\nAnswer: o**(-945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 174.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-1) - (9 - 5). Suppose 5*q + 0*r + u = -r, 0 = -r - 5. Let c(x) = -x**2 - 3*x + 1. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u + 1 - 9*u - 6 - 1146*u**2 - 14*u + 1147*u**2.\nAnswer: u**2 - 58*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2. Let x(b) = -40*b**2 + 5*b - 4. Let f(c) = -87*c**2 + 10*c - 9. Let m(l) = 4*f(l) - 9*x(l). Calculate m(r(k)).\nAnswer: 432*k**4 + 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 177 = 54*s. Solve 5*w - 10*w = 0, 0 = -s*r - 4*w + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 8) in base 4?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 80 = -140. Solve 0 = 3*s + 2*p - 3 - g, 12 = 4*s - 2*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2. Let g(t) = 43*t**2 + 4*t - 37. Let p be (2\/(-4))\/(3\/42). Let m be g(p). Let v(y) = 16*y + m - 2042. Give v(b(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.086892?\nAnswer: 0.0260676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14997*p - 30049*p + 15044*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/6 - 3*n**3\/2 + 6*n**2 + n. Let s be m(-2). Sort s, -12, 2 in descending order.\nAnswer: 2, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1954 - 0.5954. What is the fourth biggest value in v, 0.1, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 64*y - 467. Calculate the smallest common multiple of 793 and q(6).\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 223293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(287\/41).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4.0249, 2\/99 in descending order.\nAnswer: 2\/99, -4, -4.0249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/368 and 61\/1539804?\nAnswer: 6159216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.66 - -8.96. Let a = 8.04 - u. Do a and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 766, 774, 782?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25735183 or -25735168?\nAnswer: -25735168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + 0 - (10 + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, 0.7, 3\/8, 2.8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 21. Calculate the highest common divisor of i and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -181*z + 1825. What is m(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -10. Let u(n) be the third derivative of 3\/8*n**4 + 0*n + 1\/60*n**5 + 0 + 3\/2*n**3 - 44*n**2. What is u(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 4)*(2*t**5 + 2*t**5 - 3*t**5).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/2 + g**3 - 4*g**2 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((34\/459)\/((-16)\/456))\/(((-2)\/12)\/(-1)).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18219\/8 - 3224903\/1416. What is the common denominator of 12\/59 and a?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48762 and 73143.\nAnswer: 146286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -19. Are x and -4\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31153 - -31161. Let f = 5\/198 - 3\/22. What is the closest to k in -1\/6, f, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 116. Calculate the remainder when 40 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 251911?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4696 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 2*i + 3)*(1 - 1 + 2*i) + (-7*i**2 + 3*i**2 - i**2)*(-2 - 3 + 6).\nAnswer: -13*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 21 - 9 + 59*g**2 to w*g**2 + q*g + j and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.05949ml to litres.\nAnswer: 0.06705949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -75*p**5\/4 - 246909*p**4\/4 - 29403*p**3\/4 + 740577*p**2\/4 - 202467*p\/2 - 14814 = 0?\nAnswer: -3292, -2, -3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001832516267 rounded to six dps?\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2800.9 + -2801.4. Let n = -41\/354 + -3\/59. Let m be 2 - (9\/(-5) - -3). Which is the nearest to -3\/5? (a) n (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:31 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3085567031 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(p - p**2 - p) + 12 - p**2 - 12 + (-8*p - 14 + 14)*(0*p - 2*p + 4*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (63 - (7 - (-104 + 115 - (10 + 0)))) + 9\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -967 - 705. Suppose j + 10*j = z. What is the remainder when 132 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849 divided by -849.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1793, -7693, -17709, -31847, -50113, -72513?\nAnswer: -99053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {f: 1, c: 1, n: 3, k: 2, m: 8, b: 3}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 5 - 5 + (-2 - 2 + 6)*(k**4 + 0*k**4 + k**4) + (-2*k**2 - 4*k**2 + 5*k**2)*(119*k**2 - 74*k**2 + 184*k**2).\nAnswer: -227*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6802408527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let x(w) = -1215*w**2 + 3*w + 49087. Determine c(x(k)).\nAnswer: 1215*k**2 - 3*k - 49087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 52 = -0*x + 67 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2. Let i be b(1). Let g(l) = 5*l + 107. Let j be g(-21). Find the second derivative of -u**2 + 5*u - u**2 + 0*u + i*u**j wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232 - 33?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2\/2 + d - 2. Suppose 3*g - 8*g + 38 = -4*u, -3*g + 2*u + 22 = 0. Give h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/70*((-3698135)\/314)\/(-673).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) -8 (c) -0.01 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -23665215?\nAnswer: 23665216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1 = 2*f - 3, -2*a = f - 2. Suppose a = -8*s + 10*s - 4. Solve -6*x + 4*b - 1 = -3*x, s*x = -5*b + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llinqlnanra. What is prob of sequence nil?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(-6)*m*m)\/m)\/(m\/m**(-2))*(m\/((m**(6\/7)\/m)\/m))\/m**3)**(-2\/23) assuming m is positive.\nAnswer: m**(-72\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**4 - 8*i**4 - i**4 + (-6*i**3 + 3*i**3 + i**3)*(-3*i + 3*i + 2*i) - 2 - 2*i**4 + 2.\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -4 (b) 0.9415 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50016 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -347 - -390. Solve 35*a = n*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.9864 - 77. What is r rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*u = -713*u - 4. Let a = 52\/185 - 3\/37. Put 0.1, a, u, -4 in decreasing order.\nAnswer: u, a, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22951\/3 - 7650. What is the closest to -1\/3 in k, -54, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -19. Suppose -10 = m - 3*j, -3*m + 35 = 4*j - 0. Suppose -2*z + 71 = -m*n, -n - t = -3. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15390, 30633, 45886, 61149, 76422, 91705, 106998?\nAnswer: 122301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697724094?\nAnswer: 2, 13, 37, 71, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 19 + 5. What is the first derivative of 4 - q*o**3 + o**3 - 5*o**3 wrt o?\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 214, 489, 874?\n\"Answer: 55*i**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 82, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let o = i - -1. Solve -2 = -o*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b86679 + -a?\nAnswer: -8b86687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 - 1028*v - 51889. Determine m(-89).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3\/2*n**2 + 2 + 0*n. Let l(s) = 6*s + 5. Let f(o) = 7*o + 6. Let p(w) = 5*f(w) - 6*l(w). Calculate p(x(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3066*y - 6657 - 11166 = 12837 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:45 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 26*y**2 + 9*y - 1. Is 22 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 20 = -2*m. Let v be (-8)\/60 - (-10)\/75. Sort v, m, -0.5.\nAnswer: -0.5, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -385881000 to the nearest 1000000.\nAnswer: -386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)*0 + -11 + 41. Calculate the least common multiple of 2 and s\/(-8)*(-4 + 12)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31904625991158 take away 5?\nAnswer: -31904625991163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 - 4*p**2 - 5*p - 1. Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 876841 and 10192798?\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 + 0 = 0. Let g(d) be the third derivative of 4*d**4\/3 - 8*d**3\/3 - 27*d**2. What is the hundreds digit of g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**2\/2 - 5*z - 60. Calculate a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45451*i**2 + 22701*i**2 + 2 + 22749*i**2 - 2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288422503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q = f - 60*q + 17, 0 = 4*f + 2*q - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0*x + 3*x - 2*x. Let y(v) = 99*v - 231*v + 137*v. Give q(y(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3)*(-72)\/(-48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -173, -99, 47, 289, 651, 1157, 1831?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let b be x(4). Suppose 0*w - 5*w = -4*d - 15, 0 = 3*d + b*w + 20. Let n(r) = -r**2 - 5*r + 1. Determine n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose r*k = -2*k + 200. Let g = k + 5. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:31 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-35)\/20)\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3\/3 - b**2 + b - 1. Let k be c(2). Suppose 2*d + 7 = p, -4*d + 17 + 11 = 4*p. Is p at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67500 and 54000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 5064. Let p(g) = -28*g - 45579. Calculate -19*i(c) - 2*p(c).\nAnswer: -c - 5058","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*h + 2562, -w + 0*h - 838 = -6*h. Is -856 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 10:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -39*x**2 - 197*x - 8. Give v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fysobob. What is prob of picking 1 s and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 374*w. Let a(n) = 58*n**2 + 13*n - 1. Determine a(p(u)).\nAnswer: 8112808*u**2 + 4862*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 483, -2\/17 in ascending order.\nAnswer: -2\/17, 0.9, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4128, 4189, 4312, 4515, 4816, 5233?\n\"Answer: 3*a**3 + 13*a**2 + a + 4111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/4 + 30*n**4 + 1067*n**3\/4 - 4082*n**2 - 54165*n - 141700 = 0.\nAnswer: -109, -10, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*c - 5*a, 3*c = -22*a + 21*a - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let j be ((-8)\/(-28))\/(m\/7). Let x(f) = 0*f**2 + 7*f**2 + 5*f - j - f**2 - 5. Let l(p) = 11*p**2 + 9*p - 11. What is 4*l(d) - 7*x(d)?\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616, 159, 1430, 3197, 5460?\nAnswer: 8219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13274, -13279, -13284, -13289?\nAnswer: -13294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-75)\/5*(-96)\/360*(-546)\/(-56)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 2. Let f be k(8). Let j(l) = -44*l**3 - 142*l**2 - 196*l + 178. Let o(s) = -5*s**3 - 16*s**2 - 22*s + 20. Let z(m) = 6*j(m) - 53*o(m). Give z(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 - 67320*b**2 + 672867*b + 740190 = 0. Calculate b.\nAnswer: -1, 11, 22430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092802063 to six dps.\nAnswer: -0.00928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 114 + 16. Suppose -766*y + 1050 = -772*y. Let o = t - y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h + 64*h = 0. Let d(i) = -32 + 29 - i + 16. What is d(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**3 - 5*r**2 + 4*r - 1. Let h = 828 + -835. Let w(b) = -11*b**3 + 9*b**2 - 7*b + 1. Give h*t(u) - 4*w(u).\nAnswer: 2*u**3 - u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.7678*0.19.\nAnswer: 18.195882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 2*n. Suppose 7*k = 3*k + 20, -2*t - n*k + 34 = 0. Suppose -5*h = -h - t, -b - 3*h = -13. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 3. Let n(f) be the third derivative of f**4\/24 + 2*f**3\/3 - 53*f**2. Calculate -3*n(v) - 4*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -443 * -635\nAnswer: 281305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 1. Let i(g) = g**2 - 35*g + 44. Let z(l) = 17*l - 22. Let a(d) = 2*i(d) + 5*z(d). Let s(q) = -a(q) + 3*j(q). Is s(17) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*s + 607 = -545*s + 31 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-296)\/(-444)*(25\/(1250\/(-40)))\/((-4)\/(-390))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Let g be j(1). Let b(n) = -1 - 1 + 3*n - 2*n + g. Suppose 0 = 485*h - 489*h - 4. Let p(x) = -3*x - 6. Calculate h*p(q) - 6*b(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006719960905 to five dps.\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 116 (c) -0.1 (d) -294\/5 (e) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:40 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 - -60. Let q = -753\/8 - m. Which is the third smallest value? (a) -4 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - p + 18, 4*c + 14 = p. Let h = 3 - c. Find the third derivative of 1 - 2*d**2 + d**h - 1 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42639 + 2294*l**4 - 42639 + 3864*l**4)*(2*l + 0*l + 0*l).\nAnswer: 12316*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9713 - 9673. Calculate the least common multiple of 20 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + 3 + sqrt(162) + -1)**2*-2.\nAnswer: -1068 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9120 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 76892 - 517814. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(1\/2)*r)*r)**(-21))**(-36)*(r*r**(8\/5)*r*r\/r**(-2\/5)*r)**(-11\/7) assuming r is positive.\nAnswer: r**(7872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229181, 459711, 690241, 920771, 1151301?\n\"Answer: 230530*s - 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2. Let b(f) = 4*f**2 - 14460683. Determine b(j(p)).\nAnswer: 16*p**4 - 14460683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71219 is divided by 176?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 4, c: 1, m: 2}. What is prob of picking 2 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967237?\nAnswer: 59, 33343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/8*(-112)\/(-63).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from gggggdggggggggg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -46629.27 to the nearest one hundred.\nAnswer: -46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (55 - 1)\/(1 - -1). Let b = -19 + s. Let r be -6*(b\/3)\/(-4). Put 3, r, 0 in descending order.\nAnswer: r, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 2126 - 25062. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3127 - 3106. What is the remainder when 84 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-50)*(6 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 49*r - 3549. What is the least common multiple of h(81) and 16?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15.17. Let u = a + 0.47. Let z = -0.300032 + u. Round z to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -986519, -986539, -986569, -986609, -986659?\nAnswer: -986719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(833) + (0 + sqrt(833))*4)**2 - (-3*(sqrt(833)*-1 - sqrt(833)))**2 - (-4 + (sqrt(833)*-1*2)**2)).\nAnswer: -12490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 28751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182811 is divided by 1179?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 64. Let l be p(-8). Let o(y) = -4 + 3 - 2 - 4*y. Let x be o(-3). Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-4)\/16) + (-7830)\/(-40). Calculate the highest common divisor of r and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 28*o = 218. What is the greatest common divisor of 2834 and o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 11. Let h(a) = -7*a + 0*a + 7*a + 2*a**2. Calculate m(h(f)).\nAnswer: 4*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n - 7. Let w(o) = 3*o + 2. Let q(l) = 2*k(l) + 7*w(l). Let u(z) be the first derivative of 15*z**2\/2 + 371. Determine u(q(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*a + s - 9, 2*a = -4*s - 12. Suppose -3*u + 5*g = -11, 5*u = -a*g - g + 9. Suppose 9 = 3*i, z + 3 = u*i + 4. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m - 27*m - 28*m - 24*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -9. Find the first derivative of -53 + 4*u + s + 68*u wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8208 is divided by 471?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (29 + -28 - -21).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + 2677003\/(-63) + 20\/18. Round d to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.117797572 to 4 decimal places.\nAnswer: -0.1178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21566953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 56*x**2 - 4*x**4 + 75 + 0*x**2 + x + 3*x**4 + 27 wrt x?\nAnswer: -12*x**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:52 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = -5*n, -2*o = o - n - 1. Let d(h) = 3*h - 8. Let z be d(4). Suppose -5*f - a = -2*a - 50, o = -z*a. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/30)\/((-1)\/(-3)). Suppose -3*o - c + 5 = 4*z, -4*o + 24 = -4*z. Let q be z*(417\/(-78) + (-6)\/39). Solve 0 = 2*l + 4, 0*k + 3*k + l = -q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 + 20*w**2 - 16 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379857?\nAnswer: 3, 127, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (484 - 17) + -12 + 4*1.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 2. Let w(d) = 14*d**3 - 26*d**2 - 6. Calculate 3*k(i) - w(i).\nAnswer: -11*i**3 + 26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869209740 divided by -5124.\nAnswer: -169635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4839 - -0.0361. Let s = 18.95 - 20. Let n = s + l. Round n to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/2*32\/24 + 21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 60 = 7*n. Let i = 33 + n. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 7. Let u be i(16). Suppose v - u = 2*b, b + 0 = -5*v - 21. Let c(s) = 5*s. Let k(y) = -2*y + 1 - 1. Give b*c(x) - 14*k(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 10 = 5*d. Suppose -m - d = -3. Let j = 15 + -6. Calculate the least common multiple of m and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293552263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 1 + 0 - 2*n - 1 to w*n + i and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 1\/2 - (-83190)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -7. Suppose 27 - 82 = -t*j. Let o(r) = 2*r**2. Calculate the remainder when o(-4) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5451418*m**6 + 15498*m**2 - 464*m.\nAnswer: 654170160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j**3\/5 - 258*j**2\/5 + 252*j + 40 = 0. What is j?\nAnswer: -2\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 2, q: 4, h: 3}. Give prob of sequence gg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2840412+34622994\nAnswer: 37463406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h - 18 - 309*h**3 - 64*h - 602*h**3.\nAnswer: -911*h**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91*h + 213*h + 169*h - 44*h)*(2 - 2 - h**2) as x + g*h**3 + c*h + l*h**2 and give g.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:52 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-7) - 9\/21. Suppose -j + 4*s - 12 = j, 4*j + s + 15 = a. Put 5, -3, j in descending order.\nAnswer: 5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279591, -279009, -278427?\nAnswer: -277845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 5*i + 3*j - 192, 19*i + 6*i + 3*j + 24 = 24*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1050, -0.5, -1, -4 in descending order.\nAnswer: 1050, -0.5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 20*i**2 - 21. Let n be r(-20). Let k be (n\/15 - -1)\/16. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33802361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*236\/1593\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let h = -9 + 6. What is the smallest common multiple of 5 and r(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143389783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -2*5\/10. Let n be z\/(-9) + (-168)\/(-27). Suppose -n*j + 130 = -j. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 8300. Suppose 2*q - 7 = -11. Let h(i) = -i**3 + i**2 + 6*i. Let k be h(q). Let r be c(k). Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.45 - 1.2. Let w = t + 4.75. Which is the nearest to 5? (a) -1 (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -905 and -0.05.\nAnswer: -905.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1657, 3305, 4927, 6517, 8069, 9577, 11035?\nAnswer: 12437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 4*x - 25. Let o(q) = q**3 - q - 1. Let f = 119 + -120. Let a(k) = f*i(k) + 4*o(k). Differentiate a(n) wrt n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*u + 1559 - 1749 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(242) - (sqrt(242) - ((sqrt(242) + -1 - sqrt(242)) + 4)) - (1 + 1 + sqrt(242)) - ((sqrt(200) + sqrt(200) + 1 + sqrt(200))**2*-6 + -4)).\nAnswer: 2094*sqrt(2) + 64866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142782 - 568229\/4. Let z = b - 745. Calculate the common denominator of -25\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 14*j - 13. Let q be l(15). Let a = q + 29. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/55 + -104\/165. What is the closest to 2\/7 in y, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011110 + -101?\nAnswer: -10111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11616 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 23107 = -8224. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1086*j*l**3 - 35469*j*l + j - 840*l**3 + l - 7 wrt l?\nAnswer: -6516*j*l - 5040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (420\/(-80))\/((-2)\/48). Let 56*f**4 + 54*f**4 - 376*f + o*f - 120 - 135*f**2 - 105*f**4 = 0. Calculate f.\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22601403 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1 - 2. Let i = k + 3. Factor i*n**4 - n**4 - n**3 + n**2 + n**5 + 0*n**2.\nAnswer: n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110567 + -1041983409\/9424. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 1547.\nAnswer: 17017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-3 - -7) + -2. Solve 9 = -4*m + q - 7, h = -2*m + 4*q - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*k. Let f be (-12)\/16 + k\/(-4). What is the common denominator of -107\/18 and ((-447)\/36)\/1 - f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/7 (b) -1 (c) -4\/5 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43843000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*j + 4*t = 246*j - 36, 5*j = 2*t + 39 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -51. Let b be (-2 - -2)\/(w\/(-3 - -4)). Let i(c) = b*c - c + 4 - 4. Let h(m) = 44*m**2. Give i(h(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189967?\nAnswer: 189967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925111 is divided by 3712.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121152354 - -515?\nAnswer: 121153313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -29 - (-14 - -4 - (7 - 7))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 33\/6 - 3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1074*w + 247*w + 1908 - 38896 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -21. Let p be (-5)\/r*(-9)\/(-3). Find the second derivative of -6*i**5 + 12*i + 5*i**p - i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 20*q = 4120. Suppose -4*u + 227 = -3*z + 652, -4*z + q = 5*u. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 22 = -y, 5*y + 1 = -9. Suppose -3*h + 4 = -2*h. Suppose c + 0*c + 3*j - 17 = 0, h*c - j - 16 = 0. Solve -3*b = -c*b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2291 and 474?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11*g = 189. Let w = -25 + g. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108703.4 - -108703. Let w be ((-1)\/2)\/((-10)\/(-8)). Which is the closest to w? (a) -3 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -608 - -643. Calculate the remainder when 384 is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.7 + 89.700407. What is o rounded to five dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8136.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -651, -706, -761, -816?\n\"Answer: -55*g - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005833 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 86\/(-120) - 8\/(-12). Let v = -37\/60 + p. Put 3, v, 2\/25 in ascending order.\nAnswer: v, 2\/25, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 166*j - 3. Let l be r(3). Suppose 5*h - 2*k = -l - 1580, -2*k + 423 = -h. Find the common denominator of 1\/4 and h\/(-60) - (-3)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102213 (base 5) to base 8\nAnswer: -6551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*r, 3*z + 45 - 18 = -4*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 13*y + 6. Let x be v(13). Suppose x*c - 11 = 5*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b\/b**(-2\/7))\/b)\/b)\/b*b*b)**(-4)*b**9*b\/((b\/((b*(b*b**(-1\/3))\/b)\/b))\/b)*b assuming b is positive.\nAnswer: b**(116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let s(b) = -2*b**2 - 3*b - 1. Let k be s(r). What is the units digit of (-5)\/(-3) - 1\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-4*v + 2*v - 3*v)*(40 + 66 - 12).\nAnswer: -940*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3188 + 3203. What is the second biggest value in -2\/5, -1, 0.5, -8\/3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 244.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) -61454 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 5*y + 48. Calculate the remainder when 106 is divided by t(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 11 = 4*f, 492*f = 495*f + 4*h + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*u = 6, 16*t - 11 = 11*t - u. Suppose -5*n + 5686 = 2*p, 8487 = t*p - 0*n - 3*n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**3 + 6*y**2 - 6*y - 3. Let t(k) = 13*k**3 + 11*k**2 - 11*k - 6. Let h be -2*(-5 + 3) - 10. Determine h*t(r) + 11*z(r).\nAnswer: -r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2485428 and 7524?\nAnswer: 7456284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(-1\/10)\/((w*w\/w**0)\/w)**(-24\/5))\/(((w\/(w\/(w**2\/w))*w)\/w*w**(1\/8))\/(w**1)**(-13\/6)) assuming w is positive.\nAnswer: w**(881\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 1157*q**2 + 9159*q + 37917.\nAnswer: (q - 1149)*(q - 11)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2992)\/(-7920) - (-133)\/95.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -44883873?\nAnswer: 44883868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 21 - 12. What is the remainder when 35 is divided by (-9)\/(-4)*(x + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 plus 3?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2 + 9*m**3 + 193*m - m**2 + 10*m**3 + 6*m**3 + 11*m**3 wrt m.\nAnswer: 216*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/44)\/((-6)\/(-5588)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 6, 4*w = -4*u + 4. Suppose -a = -h + 3*a + 14, -117 = -3*h - 3*a. Let o be (h + -1)*1 + w. What is the highest common factor of o and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 76 + 34 - 9 + 13*f - 64.\nAnswer: 13*f - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6*u**4 + 2*u**4 + 11 - 2*u**4 + 20*u**3 - 24*u**3 - 2*u as p*u + z + h*u**4 + c*u**3 + v*u**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*o. Suppose -4*l - o*s = -18, -4*l - s + 18 = 4. Suppose 0 = l*h - 21 + 6. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 + 1 + 23*o - 23*o)*(3 + 0 - 4).\nAnswer: -6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*d**4 - 73*d**3 + 73*d**3 + (-3*d - d + 0*d)*(-3*d**3 - d**3 + 3*d**3) to the form r + f*d + x*d**4 + u*d**2 + l*d**3 and give x.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42*2)\/(26\/(16744\/(-138))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1476, 1461, 1446, 1431, 1416, 1401?\n\"Answer: -15*m + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*(15\/20)\/(-3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*k + 43 - 47, 2*q + k - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 = -4*v - 0*r - 5*r, v + r - 153 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47526918*o**4 - 7021554*o**2 - 2*o - 1 wrt o.\nAnswer: -1140646032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((267 - 73 + 133)*(11 + 1 - 4) + 0 - 2 + 0)*(-3*a + 7*a - 2*a) as s*a + w and give s.\nAnswer: 5228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let p(i) = 5*i. Calculate s(p(c)).\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 5 (c) -1\/4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5289936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 32. Suppose 2*q = 8, -2*t - 3*q + q = 28. Let u be p(t). What is k in 1\/4*k**u + k + 1\/4 + k**3 + 3\/2*k**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 1 + -4 - 4)\/(518\/(-518))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1583.6 + -1584. Which is the closest to -3\/7? (a) j (b) 0.1 (c) -2\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3163 (base 8) to base 4\nAnswer: -121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -29*s**3\/6 + 97*s**2\/2 + 17*s - 2. What is the remainder when 33 is divided by y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589 + 585 - 1767 - 164*t**2 + 593.\nAnswer: -164*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l**2 + 7*l + l**2 - 35 - l**2. Let v(p) = 7*p**2 - 4*p + 18. Let w(k) = -5*v(k) - 3*z(k). What is w(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 4*z**2 - z + 5. Let i(y) = 20 - y**2 - 21 + 17*y - 17*y. Determine -b(a) - 4*i(a).\nAnswer: 2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.280339 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-256)\/12)*(14904\/(-27))\/46\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k - 4. What is the derivative of -k - 3 - 7*u**3 + 1 + 3*u**3 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 249084489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8)*-15)\/((-8)\/32)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4803134547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18415290 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000758946476 rounded to seven decimal places?\nAnswer: 0.0007589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5988 = m + i - 6013, -226 = 2*m - 10*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -x + 105, 5*b + 3*x - 62 = 64. Let j = 73 - b. Sort -4, 2, j in ascending order.\nAnswer: -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21642069 is divided by 4328402?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 118.72. Let x = q - -81.68. What is x rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 24*v = -104. Let i be 5\/(-6) + v\/(-8). Is 47 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 290*g**3 + 140*g**2 - 201*g + 60. What is j(1)?\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 172\/1577 (b) 2 (c) 1902\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 1050?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -1224, -1843, -2462?\nAnswer: -3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:15 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(sqrt(300) + 1*sqrt(300)))\/sqrt(10))\/(sqrt(20)\/(sqrt(10)\/sqrt(5)*4)).\nAnswer: 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.513437551 take away -3?\nAnswer: 27.513437551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.404 and -5.\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**2*q - 522*m**2 + 15291*m*q wrt m?\nAnswer: 12*q - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.067, 0.1, -1564, 8, -42, -4 in increasing order.\nAnswer: -1564, -42, -4, -0.067, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 936.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h. Let t(l) = -361*l**2 + 68056*l. Calculate p(t(c)).\nAnswer: -2166*c**2 + 408336*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100427302335 - -100427301346.00001154. Let h = -989 - m. Round h to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + 2 + 5. Let m(w) = -w**2 + 9*w + 6. What is the tens digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391.36 - -0.2?\nAnswer: 4391.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((2\/(-28))\/(5\/20))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 13, h: 1}. What is prob of picking 1 h, 1 w, and 1 k?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*i - 51 - 43 = 0, 0 = -5*i - 5. Let p = h + 57. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/8)\/((-1)\/2). Let g be ((-12)\/9)\/4*o. Which is the smallest value? (a) -1\/4 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.089503um to millimeters.\nAnswer: 0.009089503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 628.97*8\nAnswer: 5031.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 16, z: 2}. What is prob of sequence lz?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 282616*q**2 - 9983975432*q.\nAnswer: -2*q*(q + 70654)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**(4\/13))))\/n**(-31))\/(n**(1\/4)\/(n*n**(-2\/45))) assuming n is positive.\nAnswer: n**(79591\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3*-6628.\nAnswer: -74896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-33) + 2\/(-1). Suppose -2*k - 8 = -3*i, -4*k + 4*i - 6 - 6 = 0. Let s = 5 - 5.4. Which is the closest to -1? (a) s (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*i = -631*i + 18050. Calculate the remainder when 366 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 701\/((-3 - -2)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 3) in base 15?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 10) to base 15\nAnswer: 24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, 0.038 in descending order.\nAnswer: 1\/3, 0.038, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42129, 42130, 42131, 42132, 42133?\n\"Answer: d + 42128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (15*2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 15) to base 14\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.593529877 from -214.5.\nAnswer: -216.093529877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h = 134*h + 56*h + 4867 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631.6748g to nanograms.\nAnswer: 631674800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3 (c) 3\/26 (d) 4 (e) -3 (f) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60377\/18 - -3353. Suppose 0*v + 1237 = -v. Let r = -2405\/2 - v. Calculate the common denominator of r and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:17 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 + 103810*a**3\/9 + 1347116416*a**2\/9 + 1347012608*a\/9.\nAnswer: 2*a*(a + 1)*(a + 25952)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 425*w - 5470296.\nAnswer: (w - 2561)*(w + 2136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23924867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 13*w + 6 = 0. Solve w*d + 10 = -5, 4*u - 2*d - 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505\/(-202)*(-6)\/5 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251090910, -251090909, -251090908, -251090907, -251090906, -251090905?\nAnswer: -251090904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -53*w. Let i(s) = -66*s. Let r(k) = 4*i(k) - 5*m(k). Determine r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53440766*c**2 + 2 - 53440767*c**2 - 2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w**(-14\/9)*w)\/w))\/w**(-36))\/(w**(-36)*w*w**(3\/2)))**(-1\/13) assuming w is positive.\nAnswer: w**(-1279\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) -2\/7 (c) -2\/151 (d) -149 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -196*q**5\/25 - 161*q**4\/15 - 88*q**3\/15 - 8*q**2\/5 + 3*q. Solve o(h) = 0 for h.\nAnswer: -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*i = 9558 - 26673 - 33285. Let j(d) = -31*d - 5. Let k(c) = -900*c - 144. Determine i*j(g) - 5*k(g).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/52 - ((-40)\/16 - -4). Let z = y + 3\/52. Let g = -165.74 + 166. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*k + 2 + 5*k**2 - 2 + 14*k**3 + 56*k + 50*k as q*k**2 + w*k**3 + x*k + z and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose 4*r = -p*r + 52. Let x be 13*((-4)\/(-2) + 0). Calculate the greatest common factor of r and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n - 6*n + (4*n + 0*n - 3*n)*(3 - 6 + 1))*(-49*n - 20*n**2 + 48*n - 3*n**2).\nAnswer: 69*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 579*m**4 + m**3 + 4*m + 50039.\nAnswer: 2316*m**3 + 3*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 10. Let i be j(8). Suppose 6*y = i*y + 92. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5530 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3 - 1. Suppose -o*k - 475 = -5*v + 3*k, -k + 4 = 0. What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65\/5 + (8 - -3)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*56.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 7.03. Let r = -11 - j. What is the smallest value in 0, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 30*s**2 + 0*s + 17*s**2)*(-4*s + 2*s + s).\nAnswer: -47*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221?\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/32552 and -47\/97656.\nAnswer: 97656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -71, -80?\n\"Answer: -9*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*c**2 + c**4 - c**4 - c**4 - 48*c**2 - 4*c**3 + 8*c**3 to the form f*c**3 + p*c**2 + u*c**4 + l + n*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/2 > 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 6125 = -5670. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2706588 and 145\/6384.\nAnswer: 75784464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 0*d**3 + 3*d**3)*(-356 + 356 + 9*d**2).\nAnswer: 27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 6. Let p(m) = -m - 7. Let r = 12 - 8. Suppose 29*j = -j - 150. What is j*k(a) + r*p(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496493*c - 496495*c + 2*q = 54, 3*c - 14*q = -48 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((14 - 2) + -16).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/9 - 43*q**4\/9 + 440*q**3\/9 + 484*q**2\/9.\nAnswer: q**2*(q - 22)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3284, -3356, -3430, -3506, -3584, -3664?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -251 or -106\/49?\nAnswer: -106\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.4 - -1. Let n = d + 50.141. What is n rounded to 2 decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00258037597 to five dps.\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396\/377 - -26\/29. What is the nearest to -2 in g, 2\/19, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = -3*q. Suppose q = -4*j - 0 + 8. What is the least common multiple of (-33)\/(-55) + 254\/10 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 427141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-5)\/((-5)\/4). Let c be m*(-4)\/8 + 1072. Let j = -283 + c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((0 + sqrt(1573))*-1 - -4*(sqrt(1573)*-2)**2) + (-3 + sqrt(1573) + -1 + 1*(sqrt(1573) - sqrt(1573)*3))**2).\nAnswer: -53514 - 154*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from qzhssqzhzhgshqsmg.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 2*m**2 - 2*m**2)*(0*m**2 + 2*m**2 - 3*m**2) + (2*m**2 - 2*m**2 + m**3)*(-82*m + 64*m + 53*m - 1) + (-3*m + 1 - 1)*(-1 + 1 - m**3).\nAnswer: 35*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-45) - (-488)\/(-144)) + (21 - 496\/24)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.17, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/8 + 9\/(-1). Let m(y) = y**2 + 3*y - 8. Let t be m(p). Let s(o) = 2*o - 2*o + t*o + 7*o. Let n(d) = 2*d**2. What is s(n(b))?\nAnswer: 34*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -32. Suppose -b*f - 25 = -7*f. Let o(t) = -t**3 + 4*t**2 + 6*t + 4. Determine o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 17*i + 15 = 4*f, -5*f + 4*i = -45. Suppose 1225 = 5*p - 5*r, 3*p - f*r - 119 = 622. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.79?\nAnswer: -7.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**4 + 2*h**3 + h**2. Let i(m) = -m**3 - m**2. Suppose -4*n - 8 = -8*n. Let c(p) = n*i(p) + d(p). What is the third derivative of c(g) wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -55*u**2 + 941*u - 23. Let x be m(17). Solve 83*n = 87 + x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + 3 - (-14 - -11)*89 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2802857?\nAnswer: -1\/2802857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.99038301 - -0.00961299. Let q = 18.86 + 0.14. Let x = q - m. What is x rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(8 + (-1628)\/209)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -820*o + 12. Let t(r) = -275*r + 4. What is -4*c(m) + 11*t(m)?\nAnswer: 255*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 601772.9 years?\nAnswer: 7221274.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**5)\/s)\/s*((s*s**7\/s)\/s*s)\/s*s*s)\/(s**(-3)\/(s*s\/s**(-1\/7))) assuming s is positive.\nAnswer: s**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442112*s + 483633*s + 90829*s.\nAnswer: 1016574*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.2 or -3108?\nAnswer: -3108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 247.81 + -247.81. Let o = -0.22 - -0.04. Let h = o + 0.04. Put b, h, 5 in ascending order.\nAnswer: h, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 10*q**2 - 3*q + 9. Let k be a(5). Let s(g) = 2*g + 3. Let j(l) = -3*l - 4. Give k*s(i) - 5*j(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(-25))\/(i**13*i**(8\/7)) assuming i is positive.\nAnswer: i**(-274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6410171*u**2 + 14096045 wrt u.\nAnswer: 12820342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + c**2 - 2 - 45*c**3 + 206 - 73*c**3.\nAnswer: -118*c**3 + c**2 + c + 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 504, 1145, 2044?\nAnswer: 3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 133958429 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose 2 + 23 = j*v. Suppose 10*f = v*f + 90. What is the greatest common divisor of 54 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/38 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 339700?\nAnswer: -3396fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1607\/3? (a) 3\/5 (b) -1\/4 (c) 0.3 (d) 8\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (11 + -16 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2 + 5 + (0 + 1 + 1)*(4 + 0 - 2) - 2 + 1 + 0)*(-3 + 11 - 6)*(3*k**2 + k**3 - 3*k**2).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127 and -1853.\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 r when four letters picked without replacement from {x: 2, e: 3, a: 3, k: 5, m: 1, r: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(4 - (-2673)\/(-669)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136732203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*w - 112*w - 122*w**2 - 122*w - 122*w + 475*w - 85*w**2.\nAnswer: -207*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-17 + 8 + 7). Sort 53, w, 3.\nAnswer: w, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1\/60?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uullu. Give prob of sequence ulu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(880)\/sqrt(11) + (sqrt(270)\/sqrt(6) - sqrt(45))\/sqrt(9).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813949851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 6*m - m, -4 = 3*m + 4*k. Suppose 2*u - 3*l = 3*u - 5, -2*u + 3*l + 1 = m. Which is the closest to u? (a) -5 (b) -2\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(130) + 2*sqrt(130)) - (sqrt(130) + ((-2*sqrt(130) - sqrt(130))*-5 - sqrt(130))))*5)\/(-4*3*sqrt(10) + -3*sqrt(250) + sqrt(10)).\nAnswer: 75*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciyt when four letters picked without replacement from tiiyitciit.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(117) + -1 + 2) - (-2 + -1 + sqrt(117) - sqrt(117) - sqrt(117))*-6)**2 + 1)*4.\nAnswer: 6072*sqrt(13) + 58736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1223 (base 5) to base 6\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -10 (b) -2 (c) -0.3 (d) -1\/2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 2*l. Let v = 18 + -9. Find the common denominator of s(2) and (-63)\/(-12) - (v - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5ab1 (base 15) to base 5\nAnswer: 1104131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1220*i**3\/3 - 406*i**2 + 7322*i\/3 - 4 = 0?\nAnswer: -3, 1\/610, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Put -2, j, -4 in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/560)\/(100\/(-14))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l, 0 = -0*q + 5*q + 4*l + 29. Let h = 19 + q. Suppose -h*s = -41 - 15. Solve s*g - 20 = -0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(432) - (-3 + sqrt(432))) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -22 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.1 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 168\/(-196) + (-4 - 56434\/(-4557)). Which is greater: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 9*i + 73. Let f(o) = -6*o**2 - 27*o - 209. Let m(s) = -17*a(s) - 6*f(s). Let x(h) = h**2 + 4*h + 6. Calculate 6*m(z) - 13*x(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 945 + 621*d - 7226*d - 945 - 2974*d in the form m + v*d and give v.\nAnswer: -9579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/((-4)\/10). Suppose 40 = w*f + 3*f. Let u = f - 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 119?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {d: 3, g: 1, s: 6, n: 1, w: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 5*g + 4. Let v = -55 - -60. Let i be t(v). Solve q + o - 1 = -o, 11 = i*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75) + -2)**2 + sqrt(75) + (1*sqrt(75) - (sqrt(9)\/sqrt(3)*-2)**2).\nAnswer: -30*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -11*m**5\/20 - 7*m**3\/3 - 21*m**2. Differentiate u(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -426429, -852858, -1279287, -1705716, -2132145?\n\"Answer: -426429*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 46*c**2 - 194*c - 212. What is j(-7)?\nAnswer: 3400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 12:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022.25 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11221?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let t(z) = -z**2 + 10*z - 4. Let g be t(p). Solve 0 = -7*m + 3*m + 2*b - 10, -2*m - 2*b = g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -487, -1070, -1887, -2938, -4223?\nAnswer: -5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m + 32 = 0. Suppose -13*i + m*i = -125. Suppose 0 = -5*c - i, 3*c - c + 1398 = 2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*d**3*f + d**2*f + 3098*d**2 - 6242048*d*f wrt d.\nAnswer: 816*d*f + 2*f + 6196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbixfqxiqsiqfs. Give prob of sequence ixsb.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0\/1)\/(-2). Let x be (s + -1 + 1)*5. Let g = x - -8. What is the highest common divisor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d + 3*o, -2*d - 4*o + o = -5. Let s = -0.1 - 0.9. What is the closest to -1 in 3\/5, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 16, 29 in increasing order.\nAnswer: 0, 6, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) 37 (c) 0.9 (d) 5 (e) -1 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4494913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2500)\/350 + 7)\/((-711)\/(-357) - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {t: 3, v: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147\/(-253) + 16764\/46101?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:05 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 6*o + 5*o - 2*o)*(1536*o - 492 + 119 - 1538*o) to u*o**2 + y*o + t and give y.\nAnswer: -1865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let x(w) = 2770049*w + 30548. Let u(c) = 1088*c + 12. Let l(o) = -7637*u(o) + 3*x(o). Give l(a(z)).\nAnswer: 2182*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 27*b**2 + 30037*b - 810990. Calculate l(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)\/((s**(-2\/3)\/s)\/s))**(-2\/17)*(((s\/s**(3\/4))\/s)\/(s\/((s\/(s\/(((s*s**(-2))\/s)\/s)))\/s*s)))**22 assuming s is positive.\nAnswer: s**(-117625\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42222 - 34891. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 41*t**2 + 1478*t + 76. Determine p(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 5, o: 7, z: 1}. What is prob of sequence kjz?\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 194678 (base 11) to base 16\nAnswer: 48fcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d = -180576 + 477117. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/1116 (b) -4 (c) 2\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192917 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21944 - 79881\nAnswer: -57937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ivvvvvivvvvivvvvvv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z + 34. Does 10 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let k(i) = -3*i**2 - 17*i - 8. Let y be k(-5). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -104. Let b be -11 + 13 - o\/(-14). Let y(f) = f**2 - 4. Let l be y(-2). Is b != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a*l + a - 148781809*l + 235864645 wrt l?\nAnswer: 3*a - 148781809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 2*q + 28. Let h be n(-4). Solve k - 2*r = -r + 4, 24 = -h*k - 4*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4\/4 + 7*t**3\/3 - 9*t**2\/2 - 8*t + 1. Let l be o(-8). Which is the smallest value? (a) l (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114023911*d*j**2 - 25*d + 15*j + 407961 wrt j?\nAnswer: -228047822*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1510089636 + -12.151. What is h rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 6*x + 29 + 30*x + 9*x - 10*x. Let t be b(-17). Solve 5*s - t = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r + 2. Let g = 31 + 7. Suppose g + 18 = 7*u. Let b(h) = 11*h + 6. Calculate u*j(x) - 3*b(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12348571 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 31703092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, e: 6}. What is prob of picking 2 o and 2 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, m: 2, f: 4, o: 1}. Give prob of sequence frmr.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 2*g - 4*g + 2*g in the form j*g + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 10. Let t = 488 - 484. What is g(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.1 and 555?\nAnswer: 549.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -187844 - 4?\nAnswer: -187848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7)*(-18641)\/335538?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.38 - -0.94. Let n = 2.3 + s. Let q = n - 9.86. Which is the second biggest value? (a) q (b) -1\/7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*36\/(-300))\/(6\/4)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 34. Solve -c + 2*h = -2*c - 8, -3*c - 4*h - b = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18628 = -3*s, 0 = 2*s - 7*s + 5*g + 31040. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - 2*x)*(2*x - x**3 - 2*x) - 2*x**4 - x**4 + x**4 + (x**3 + 3*x**4 - x**3)*(-13 - 6 + 3) - 2*x**4 + 2*x**4 + 2*x**4.\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Solve u - i = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:39 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 721*v - 229. Let h(b) = -19. What is -12*h(u) + t(u)?\nAnswer: -3*u**2 - 721*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u**2. Let d(h) be the second derivative of -5*h**4\/6 - 19*h**2\/2 + 906*h + 3. Determine d(z(t)).\nAnswer: -5290*t**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 65*w - 51 - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-7)*(-118)\/5. Let b be a\/(-5) - (-6)\/15. Let n = b + -3. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -4. What is the least common multiple of a and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(11) + 5*-2*sqrt(11).\nAnswer: -8*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l - 6. Let q(r) = -r**3 - 8*r**2 - 7*r - 4. Let c be q(-7). Let j = c + -2. Let y be u(j). What is the closest to y in -2\/9, -3\/2, -1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/7)\/f**25)\/(f**(-18)*f**(-4\/11)\/f))**11 assuming f is positive.\nAnswer: f**(-500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(2\/5)*r)*r\/r**5)\/(r*r\/(r*(r\/(r*r**(-1\/4)))\/r*r))**37*((r*(r**(-1)*r)\/r*r)\/r**(-3))\/((r*r\/(r*r**(3\/4)*r))\/r**(-2\/11)) assuming r is positive.\nAnswer: r**(-1462\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - 241. Suppose 15*a - t = 16*a, 2*a + 80 = -5*p. Which is smaller: -20 or p?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 2*a**2 + 1. Let n(c) = 16*c**3 + 9*c**2 + 3*c - 3. Let r(k) = -n(k) - 7*y(k). Calculate r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(90) + sqrt(90))\/sqrt(2) + sqrt(1620)*-1)\/((sqrt(729)*-2 - sqrt(729)) + sqrt(9) + -5*(sqrt(36)\/sqrt(4) + sqrt(9)))*1.\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -30353*w + 728478. Calculate f(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20886157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - -6*(-18)\/(-12). Let m(q) = -2*q - 12. Let h be m(-8). Let c = h + -2. Solve c + g = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*j + 3*j - 5*j to the form l + h*j and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -3423\/1079?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*x = 21316, -2*t - 4*x - 42668 = -6*t. Suppose -t - 2776 = -30*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214 - -76. Let w = -83 - b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let o(z) = -z - 12. Let r(g) = 195*g + 47. Let x(k) = -4*o(k) - r(k). What is v(x(p))?\nAnswer: 72962*p**2 - 764*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1031 (base 4) to base 13\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 11}. What is prob of sequence aaag?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1587*m - 311. Calculate the remainder when u(1) is divided by 266.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 3*f + 6*f - 21*f**2 - 1 + 26*f**2. Calculate the lowest common multiple of 87 and c(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5 + 36 + 2*q - q - 2. Let d be (1 + -1)*(-6)\/12. What are the prime factors of k(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146.697142 + -146.7. What is n rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 4. Let b = 0 + j. Calculate the least common multiple of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1309 - -1222. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and -45\/57032.\nAnswer: 171096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22202 + -110303021?\nAnswer: -110220213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 0 + 1\/4*b**3 + 1\/2*b**2.\nAnswer: b**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 1. Let f(c) = c**3 - 4*c**2 - 2*c + 3. Let t(r) = f(r) - 3*l(r). Calculate t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5688585933 to the power of 1\/2, to the nearest integer?\nAnswer: 75423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-27))\/5 - (-19)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(98) - sqrt(98)*3).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 times -0.7?\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49\/382043 or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(972)*-2 - sqrt(972)))\/(5*(sqrt(4374) + (-1*sqrt(4374) - sqrt(4374) - sqrt(4374)) - sqrt(4374))).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:32 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1830580 or 31119880\/17?\nAnswer: 1830580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 143582846273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 175*j - 100. What is r(44)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 67*g**2 + 81*g + 361. Calculate m(-66).\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let i be p(4). Suppose -z + 8 = -3*z, i = 2*w - 4*z. Let l be w\/3 + (2 - 0). Which is the nearest to l? (a) -4 (b) -4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5745 at least -2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/3 + 6164*k**3\/3 + 4743194*k**2\/3 - 3168296*k + 1585176 = 0. What is k?\nAnswer: -1542, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 75.39384 years?\nAnswer: 0.7539384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2966 or 2970?\nAnswer: 2966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:34 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 19*h**3 + 86 - 11*h**2 - 84 - 27*h**2 + 36. Let n(j) = -j**3 + j**2 - 1. Calculate -b(s) - 38*n(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 80 = -4*i. Suppose 2*c + 4 = -j + i, 4*c - 8 = -j. Suppose -w - j*w = -10. Solve -w*s = y - 2, 6 + 0 = 3*y - 4*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 4160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.03 + 0.03. Let b = s + 3.8. Let f = 0.200005 + b. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 2 = -23*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 + 6*o + 22. Let t(h) = 22*h**2 + 8*h + 22. Let j(d) = 3*t(d) - 4*x(d). Let g(i) = 3*i. Give g(j(v)).\nAnswer: 54*v**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 277586.4 to the nearest one hundred.\nAnswer: 277600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 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: Solve -4899*x - 2988216 = 18817*x for x.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(468)\/(sqrt(36)\/sqrt(4)))\/(2*sqrt(4)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i + 454 + 30*i - 2*i + 3*i**2.\nAnswer: 3*i**2 + 454","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 8253?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let d(h) be the first derivative of 473*h**3\/3 + 2*h + 579. What is d(k(v))?\nAnswer: 1892*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7893454?\nAnswer: 2, 3946727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200) + -1)*-4) - (sqrt(72)*1 + 4))**2*5.\nAnswer: -7520*sqrt(2) + 88680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcyyoo. Give prob of sequence ycpo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*p - 6. Suppose p*z = -15, -5*b + 3*z = -4*b - 71. Suppose 4*o - 10 - b = 0. What is the greatest common factor of o and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5265*c**2*g**2 + 7943*c**2*g + c*g**2 - 3*c - 3*g**2 - g wrt g.\nAnswer: -10530*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + t**2 - 2 - 667*t + 656*t to the form w + c*t**2 + q*t and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1230)\/(-86 - -45) - (1 + 3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 10, -y = 4*o + 6 - 2. Let q(b) = -b**3 + 3*b**2 + 3*b - 1. Let w be q(y). Let m = w - -8. Solve m = f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((8\/(-3))\/4)\/((-38)\/(-171)))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7533027 (base 8) to base 12\nAnswer: -810907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 348*s + 18. Let r be k(-87). Solve -r = -537*g + 534*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 5. Give u(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/574829 and -34\/22459.\nAnswer: 21268673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -152550*u + 152554. Calculate b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -119716?\nAnswer: -478864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 + 1234*i**4 + 21780*i**3 + 129816*i**2 + 258768*i = 0. Calculate i.\nAnswer: -599, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -1805*h**6\/6 - 1064*h**5 + 4405*h**4\/2 + 3940*h**3\/3 - 4005*h**2\/2 - 1620*h - 1009. Suppose d(w) = 0. What is w?\nAnswer: -4, -9\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201720 and 3138140?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 4. Let b be (-6)\/9*k*3. Let m(n) = 4*n**2 + 6*n. Is 15 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*a + 15745, -3*p + 17*a = 18*a + 15740. Let x = p - -10617. Round x to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6 - c**3 + 0*c**3 - 11*c - 5 + 16*c**2 + 7. Let r be a(7). Calculate the remainder when r\/24 - 1\/(-2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-10) - 1*9\/(-15). Suppose a + 6 = 2*v - a, -m*a + 3 = v. Sort 8, v, 0 in ascending order.\nAnswer: 0, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 50. Let b = p - 59.35. Let u = 1.34995 + b. What is u rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 407229300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -55?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 64. Let h be (-15)\/(4 - ((-15)\/(-6) + 0)). Let u be i\/40 - 96\/h. Solve -6 = -4*b + 5*l + 15, 3*b + 2*l = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22387257?\nAnswer: 3, 23, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(-1) + (20\/(-70))\/(3\/(-21)). Solve 2*x + 49 = q for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -87.9. What is the closest to j in -14, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -130400*p**3 + p**2 - 5*p. Let m be s(5). Round m to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 6*l)*(-1 - 1 + 5)*(-55 + 20 + 11)*(-2 + 10 + 7).\nAnswer: -2160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52846\/16 + (-14)\/(-112).\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47477.76 years to millennia.\nAnswer: 47.47776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.013 and -6322.\nAnswer: -6322.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**3 - 565*n**2 + 2075*n - 1500.\nAnswer: -5*(n - 1)*(n + 60)*(2*n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44264.686 - -1.\nAnswer: -44263.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d*l + 405*l wrt d?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 10*j**2 + j**2 + 5*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*v - 82*v + 425 = 67*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*-2)\/sqrt(3))**2 - (-2*sqrt(128))**2.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-8))\/((-6)\/(-972)*6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + sqrt(209)\/(2*sqrt(11)) + 4)**2 + 1.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 3. Let k be 41\/(3\/(-3) + 0). Let r = -40 - k. Let g(t) = -1. Give r*u(i) + 5*g(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 1510?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*q - 93 = 0, q + 122 = 4*t + 7. Let i = -16 + t. Suppose 3*r + r = 0. Solve -3*c = -r*c + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1824611*w**4 - w**3 - w**2 - 1177*w + 755 wrt w.\nAnswer: 21895332*w**2 - 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (-3*sqrt(7) + sqrt(7))**2) + 2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19315\/6 + -3219. What is the fourth biggest value in x, -4, -1, -1.1, 7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280692579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 5. Let s(m) = -1. Let f(u) = 5*s(u) + v(u). Let k be f(1). Let z be k*2*1\/(-5). Is z bigger than -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 90*v.\nAnswer: -5*v*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970549585 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-56)\/(-12))\/(16\/(-24)). Put i, 4, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267176144*i - 161272838 with respect to i.\nAnswer: 267176144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -4, 221309?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzw when three letters picked without replacement from {m: 2, w: 2, d: 1, j: 2, a: 2, z: 5}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007961333656 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 8*o + 3. Let a be f(-6). Suppose -4*w = -9 - a. Let j(b) = 18*b**2 - 4*b + 2 - b**3 - w - 13*b**2. Give j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2070 + -7\nAnswer: -2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*y - 135*y - 54 + 978 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(272) + 0)**2)*4 - (0 + -5*(sqrt(272)*2)**2).\nAnswer: 6540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -12) + -1 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3 + -4)**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 88 = a. Find the common denominator of ((-7)\/56)\/(2\/a) and 67\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8330600203 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.15254299.\nAnswer: 0.45762897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-6)\/(-3). Suppose -c*l = -1 - 5. Suppose -4*o = r - l, r + 8 = -o + 5*r. Solve o = -2*q + q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4768131 or 4768143?\nAnswer: 4768143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -2*q**2 - 1\/3*q**3 + 12*q - 6. Let h be s(-5). Solve 4*d - h = -3*f, -7 - 4 = 3*d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 32 = -13*n. Let x = 0 + 0. Suppose x = 4*v + n - 12. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*z - 28 = -6*q, 0 = -q + 3*z + 7. Suppose -3 = -5*n + q. Suppose n*h + 72 = 6*h. Solve -h = 4*i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/4 + 23119*o\/2 + 534488161\/4 = 0. Calculate o.\nAnswer: -23119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-1 - -8)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/348 and -9\/290.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1175\/(-141)*(-12)\/(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/61960 and -109\/173488.\nAnswer: 867440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6044502, 6044506, 6044532, 6044592, 6044698, 6044862, 6045096?\nAnswer: 6045412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:12 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 - -20) + -372 + 369 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32\/12*6630\/340\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)**(6\/7)*(p\/p**(-8))\/p*p**(5\/2))\/((p**(1\/3)\/(p**5\/p))\/(p**(-3\/7)\/(p**(-7\/3)*p*p*p*p*p*p*p*p))) assuming p is positive.\nAnswer: p**(113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 126*q - 684. Determine j(-68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**3 - 4*p**2 + p + 1. Let q(g) = -g**3 + g**2. Calculate -i(o) - 4*q(o).\nAnswer: 21*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23474.4 - -18484. What is w rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -6 (b) 6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 629, -2, 86 in decreasing order.\nAnswer: 629, 86, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67375126 to the nearest integer?\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -187, -646, -1561, -3088, -5383, -8602, -12901?\nAnswer: -18436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*t = 13, 0 = -2*c + 6*t - 7*t + 11. Suppose c*n - 23 = 19. Solve -n = 5*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 2. Let t(o) be the first derivative of 1 + 9\/2*o**2 + 5*o. Calculate 5*s(z) + 2*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m + m)*(-25 - 14 + 23)*(3 - 4 + 0)*(-5 + 3 + 4) to q + y*m and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 d when three letters picked without replacement from eppdfepgdexgxd?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303948*b*h**3 + 2*b*h**2 + 4*b*h + 17*h**2 - 98 wrt h?\nAnswer: 1823688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*w - 3*m, w = -m + 2*m + 10. Find the third derivative of 2*s**6 - s**6 - w*s**2 - 7*s + 7*s wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 2*u + 1. Suppose 5*z + 3*j - 20 = 5*j, 5*j + 27 = z. Suppose -z*v = -4 - 0, -3*g = 3*v. What is the units digit of h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*z - 149. Suppose 4*x = 3*w - 16, w - 3*x - 11 = z. Solve -4*j + 5*p + 8 = -w*p, -5*j = -2*p - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.677 - -10.7?\nAnswer: 10.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6438 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*m**2 - 379*m**2 - 431*m**2 - 355*m**2 - 532*m**2.\nAnswer: -1851*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86976004?\nAnswer: 2, 21744001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.097416174 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/1112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + o + 102*o**3 - 224*o**3 + 121*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647 is divided by 294.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 133. Which is the biggest value? (a) -2 (b) -9\/4 (c) y (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8210959, 8210961, 8210963, 8210965?\n\"Answer: 2*y + 8210957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1992 in descending order.\nAnswer: 4, 3, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*a + 96 = -0*f, -2*f + 3*a + 64 = 0. What is the remainder when f is divided by ((-18)\/(-4))\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (140 + 13*q - 140)*(0 + 34*q + 5 - 3 + 7*q + (0*q - 2*q + 0*q)*(-7 + 3 + 2)) in the form o + g*q + i*q**2 and give i.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*2\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 178 in 3, -16.9, 0.02, -4, 13, -5\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {c: 2, s: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33656040 divided by -5666\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 13) to base 15\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*f - 2 - 11, -2*f = 3*s + 7. Let a be (-12)\/((4\/s)\/4). Let n be ((-8)\/a)\/(4\/6). Is n not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:43 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5452129 + 3385129. What is d rounded to the nearest 10000?\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7281 (base 15) to base 3.\nAnswer: 1020012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 3*c)*(5*c - 2*c - c + (-2*c - 9 + 9)*(4 - 2 - 5) + (-4 + 6 - 1)*(0 - 2*c + 0) + 3*c - 50*c + 0*c).\nAnswer: -82*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6.7. Let k = 3512 - 3513. Let v = 1.07 + -0.57. Which is the fourth biggest value? (a) k (b) v (c) 1\/5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w + 16*w + 10*w)*(13 - 2 - 4)*(2 + 0 - 4)*(0 - w + 1 + 2*w) to z*w**2 + d*w + f and give z.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -8136029 and -8136031 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29893\/18 - 1663. What is the common denominator of -7\/285 and t?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240 + 131. Let c = -102 - m. Calculate the least common multiple of 9 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 207*j**2 + 7014*j + 40120.\nAnswer: -(j - 34)*(j + 5)*(j + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45 - 10 - (3 - 1). Let x be ((-2)\/(-6))\/(1\/p). Suppose -i - x = -29. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6602961 to two dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 7. Let n be p(6). Suppose -l = 4 - n. Suppose 0 = 2*f + 2*f - 16. Put l, 2, f in decreasing order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 6372*o + 12732 = 0. What is o?\nAnswer: 2, 2122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*z + 15, 13406*d = 5*z + 13402*d - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 5 in increasing order.\nAnswer: -15, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2457686955 and 0.7184?\nAnswer: 2457686955.7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - sqrt(96)*-2*5)\/(sqrt(512)*-1))\/(-5*(-1*sqrt(484) + sqrt(4))*-5) + -5.\nAnswer: -5 + 11*sqrt(3)\/2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346080 divided by 280.\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537 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 -c**5\/5 + 449*c**4\/5 - 65114*c**3\/5 + 2950204*c**2\/5 + 9313176*c\/5 + 6297408\/5 = 0. Calculate c.\nAnswer: -2, -1, 104, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69039 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11603886 and -31\/489.\nAnswer: 1891433418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3352536 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 - 3. Let m(j) = -7*j**3 - 2*j**3 + 5*j**3 - 14 + 6*j**2. Let o be (-58)\/4 - (-3)\/6. Let z(x) = o*t(x) + 3*m(x). Factor z(a).\nAnswer: 2*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 43. Suppose 0*h = n*h - 4. Suppose 4*x + z - 25 = 0, x - 15 = -0*x - h*z. Let d(u) = 5*u - 3. Let g(s) = -10*s + 5. Give x*d(q) + 3*g(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-1 + sqrt(5) + 2)**2 + ((-1 + sqrt(5))**2 + 5)*-2.\nAnswer: -56 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.27752 to 1 dp.\nAnswer: 104.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*u**2 - 3088*u - 880.\nAnswer: -4*(u + 110)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 11:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 6050760*f**3 + 2*f + 6050758*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6968569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31090*c**3 - 206411 wrt c.\nAnswer: 93270*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*q + 37*q - 37*q + 98*q to b + d*q and give d.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(833)*2 - -3*(sqrt(833) + 2))*-6)**2*-3.\nAnswer: -94296 - 9576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 93, 13\/5, 2.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46647*t**2 - 589621*t wrt t?\nAnswer: -93294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 2)**2*5 + sqrt(1584) + (3 + sqrt(1584) + (sqrt(1584)*2 - sqrt(1584)))**2 + -4 + 3.\nAnswer: 396*sqrt(11) + 14284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -696 + 1927. Suppose -5*l + 5656 = a. List the prime factors of l.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 73 = 5*o + 113, -5*o = -3*p + 17 + 15 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (8 + 2 - (10 + (-9 - -18) - 138))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 921820399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104063000 rounded to the nearest one million?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 1, -8, 0 in descending order.\nAnswer: 8, 1, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 7*j. Let z(k) be the third derivative of -1\/105*k**5 + 0*k + j*k**3 - 1\/420*k**6 - 1\/84*k**4 + 0 + 3*k**2. Factor z(s).\nAnswer: -2*s*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.49 (b) 2 (c) -121.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(363) - (sqrt(24) + sqrt(96))\/sqrt(8)).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 9*t - 6. Calculate h(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aattttt. Give prob of picking 1 t and 1 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15197 = -9*c + 14162 for c.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131943*o - 295308*o - 147726*o - 273918*o.\nAnswer: -585009*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 2. Let g be y(-5). Suppose -2*o - g = 5. Let m = -103 - -100. Put m, o, 0.4 in decreasing order.\nAnswer: 0.4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/32 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 244. Let o = i + -302. Let k = -114.99699 - o. What is k rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77202, 152364, 227526, 302688?\nAnswer: 377850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 179 + 3*p**2 - 3*p**2 - 386829*p**3 + 386827*p**3 in the form a*p**2 + m*p + s + h*p**3 and give s.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 - 1. Let f(u) = -u - 3. Let h be f(-4). Suppose -n - n = -10. Calculate the remainder when y(h) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:46 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let w(g) = -7*g**2 - 3*g - 4. Let f(r) = -3*u(r) + w(r). Find the first derivative of f(y) wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012111111 - -22?\nAnswer: -1012111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -113?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 4*h + 10. Let t be f(7). Let z(o) = o**3 - 2*o + 13*o + 446*o**2 + 8*o - 5 - 426*o**2. Let b be z(-19). Put -3, t, 0, b in descending order.\nAnswer: 0, -3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/2))**(-17))**(32\/3))**35 assuming t is positive.\nAnswer: t**(-9520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + 0 - (-2)\/(-3). Let x(p) = -p**3 - p + 1. Let s(m) = -4*m**3 - 5*m**2 - 5*m + 6. Determine d*s(a) + 6*x(a).\nAnswer: -2*a**3 + 5*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 9*s + 2. Let f = -1044 - -1036. What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*u + 3 = 2*l, -l = 4*u + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -86. Let s = -7 + 4. Calculate the remainder when t is divided by 21 + -1*3\/s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**3 + 2*a**2 + 41*a + 36. Calculate u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38340395 rounded to two dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6100 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 59030. Let c = v + 4140. Let w = c + -191497\/12. Calculate the common denominator of 59\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46610.\nAnswer: 2, 5, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (14 - 29 - -16) + 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210039 at most 9031710\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 29\/4 (b) -2\/5 (c) 1 (d) 569 (e) -0.3 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 52 + 37 + 11. Let c(m) = -25*m - 16. What is -9*a(f) + 2*c(f)?\nAnswer: 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14356 - 13530. What are the prime factors of m?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792210394?\nAnswer: 2, 13, 1609, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*n - 160 + 42*n**2 - 47*n**2 - 112 + 47.\nAnswer: -5*(n + 5)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1152499 - (-28)\/(-7). Round b to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 9*p - 2*p + (-1 + 0 + 2)*(0*p + 3*p - p))*(3 - 3 + 2 + (1 - 4 + 2)*(4 - 2 - 4))*(4 - 2 + 5)*(p + 1 - 1).\nAnswer: 476*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87.956 + 0.044. Let i = -101 + b. Let p = i + 11. Is p smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let g(z) = -14*z + 562. Let b be g(46). Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25500, -25497, -25494, -25491, -25488?\nAnswer: -25485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 624 - 617 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2. Suppose 4*k + 16 = 3*r - 8*r, 4 = -2*r - k. Let j(t) = 19*t - 19*t + r*t**2 - t**2. What is j(w(x))?\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 15541\nAnswer: -1\/15541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 300111 times 2.17\nAnswer: 651240.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1646 + 1?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5\/7 (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 - 2*v**2 + 2*v**2 - 4*v**2 + 3*v**2 + (2*v + 2*v - 3*v)*(-2*v - 3*v + 6*v))*(-4*v + 0*v - v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27817, 51267, 70347, 85057, 95397, 101367, 102967?\nAnswer: 100197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 657903?\nAnswer: -657901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -3, -26 in increasing order.\nAnswer: -26, -3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8.7731+-53440\nAnswer: -53448.7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.1, 2\/25, -13965092?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7260, -57962, -195590, -463608, -905480, -1564670?\n\"Answer: -7244*w**3 + w**2 + 3*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 2 - 365)*(0*x - 23*x - 24*x) - 3*x + 3*x + x.\nAnswer: 13866*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110011000100 (base 2) in base 15?\nAnswer: aa26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661759 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*(-1)\/((-16)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27227 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 288\/23*z**2 - 90\/23*z**3 - 2\/23*z**4 + 0*z + 0.\nAnswer: -2*z**2*(z - 3)*(z + 48)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.532 - -59.511. Let q = -24.37904 + m. Let n = 1.4 + q. Round n to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuuuuuuuuuuuuu. Give prob of sequence wuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7004724 divided by -7004724.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 9*y - 155. What is the units digit of u(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 718607 (base 9) to base 2\nAnswer: 1101000000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341*y**6 + 355*y**2.\nAnswer: -40920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 34*x + 132 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -437 + 482. What is the greatest common factor of w and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f18924c + -1?\nAnswer: -f18924d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20572 - -144002\/7. Let t = 0.04 + -1.04. Sort b, -2\/3, 0, t in descending order.\nAnswer: 0, b, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 12124. Let y(c) = 5*c + 12145. What is -3*w(t) - 2*y(t)?\nAnswer: -t + 12082","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**5\/5 + u**4\/2 + 902*u**3 - 5*u**2\/2 + 67*u + 9051. Find the second derivative of x(j) wrt j.\nAnswer: -12*j**2 + 12*j + 5412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**5 + 155*h**4 - 1350*h**3 - 620*h**2 + 5320*h = 0.\nAnswer: -38, -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:30 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:03 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 24. Let f be o(5). Suppose -3*u = 6, f = 2*s - 3*u - 17. Suppose -s = k - 6*k. Solve 25 = -k*a + 4*g + g, -3*g = -4*a - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -874, -21, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1260 - 1322. Which is bigger: c or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459464?\nAnswer: 2, 3, 60811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4*i - 14)*(4*i + 5*i + 2*i).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 198. Let g = 64 - p. What is the third smallest value in g, -3\/8, -1.7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004479268 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 464 and -84.\nAnswer: -38976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*o**3 - 1 - 1 + 105*o**3 + 88*o**3.\nAnswer: 42*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 79*m + 420 = 30*m + 26*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 46?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**3*k - f**3 + 2*f**2*k - 62*f**2 + 6*f*k - 28029 wrt f.\nAnswer: -126*f*k - 6*f + 4*k - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + -5198?\nAnswer: -5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -33 - 3. Let t = -30 - s. Suppose -p + h = 3, -t = h - 3*h. Solve 3*g + p*g - 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 17*w**3 + w**2 - 2*w + 1. Let g be p(1). Let c = -12 + g. Put 3, -2, c in decreasing order.\nAnswer: c, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**2 + 6. Let i(g) = 10*g**2 - 5. Let y(v) = 6*i(v) + 5*p(v). Let q(d) = -2*d - 2*d + 0*d. Calculate q(y(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a factor of 73219950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211 + 0?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:40 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -428?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8136 at most -8137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1466.5 - 1467. What is the nearest to 0 in 2\/7, 0.1, f, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221666 and 1918.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156742014 by 12057078.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 68. Suppose 25*t + y = 33*t. Solve t = -3*f - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 + 3)\/((-14)\/(-1188)). Let z = k - -94627\/112. What is the common denominator of (-5)\/(-2) - 4\/(-6) and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -958497896 and -0.006.\nAnswer: -958497896.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-19))\/h*h)\/(h**(2\/63)*h)*h*h**(1\/3)*h\/(((h**(5\/4)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(5809\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 + 5. Let n = x - -1.3. Let l = 6.551 - 6.251. Which is the nearest to n? (a) -1 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/77 + 164\/385. Let z = -598 - -612.04. Let h = -0.04 + z. Are h and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**3\/2 + 7*i**2 + i. Let f be o(0). What is the highest common factor of f and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/15)\/24*4?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6188 + 1816 = 345*j + 3*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2354*h**3*l**2 - 151792*h**3 - 938*h**2*l + 95341*l**2 wrt l.\nAnswer: 4708*h**3 + 190682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3211*-0.37\nAnswer: 0.118807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2366 = 9*n + 2*b, -2925 = -5*n + 4*b. List the prime factors of n.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -203*h + 34572. Let o(w) = 64*w - 11523. Give -6*g(x) - 19*o(x).\nAnswer: 2*x + 11505","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -1\/3 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7294*i*s**2 - 135*i*s - i - 2*s + 1 wrt s.\nAnswer: -14588*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-19)\/(-4104)*-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 63.2, 60, -1, -0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -226429, -226427, -226425, -226423, -226421?\n\"Answer: 2*p - 226431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 45*d + 319. Let t(s) = 31*s + 322. Calculate 2*f(z) - 3*t(z).\nAnswer: -3*z - 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**33*(v*v**(-1\/38))\/v)\/(v\/((v\/(v\/v**(-4\/7)*v))\/v)*(((v*v**(1\/2)\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(4376\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*w\/w**(1\/3))\/w)\/w*w*w)\/w)\/(w**(-14)\/w))**(5\/4) assuming w is positive.\nAnswer: w**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1928 and 8082296.\nAnswer: 1947833336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*x**2 + 7*x**2 + 66*x - 56*x - 18*x**2 + 3 wrt x.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 5367*s**2 - s**3 + 40.\nAnswer: -s**3 - 5367*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68426, 137168, 205902, 274622, 343322, 411996, 480638?\n\"Answer: -j**3 + 2*j**2 + 68743*j - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4*p - 40, 40*p = -5*h + 67*p + 110 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 123, -2\/19, 1\/7, -2 in ascending order.\nAnswer: -2, -2\/19, 1\/7, 2\/9, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -30. Let o = 13 - 18. What is the units digit of y + 0 + (-30)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 324 = -c, 9*c + 5*m = 8*c + 336. Let u(n) = 664*n - 336*n - c*n. Let t(g) be the first derivative of -3*g**2\/2 + 2. Calculate t(u(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.094 + -0.1001. Which is the closest to r? (a) -2\/23 (b) -0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 c when three letters picked without replacement from ibqlliilclbu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.8339 * -10.445\nAnswer: 50.4900855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g*j - 266514838*g + 6979129*j wrt j?\nAnswer: 12*g + 6979129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -0.159.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3*sqrt(228) + sqrt(228))*-6)\/(sqrt(972)*-3*-6))**2*2.\nAnswer: 152\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2\/13, -6\/7, -3826 in increasing order.\nAnswer: -3826, -5, -6\/7, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*d + 4*d = 6, -20 = -5*d. Let l(y) = 8241*y**2 + 6*y + 5. Let m be l(r). Suppose -6*j + m = -4*j. Round j to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 6*m**2 - 5*m + 4. Let u be f(5). Solve 0 = -u*r + r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21624611821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427b (base 16) in base 3?\nAnswer: 11012020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, -153, -318, -483?\n\"Answer: -165*b + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*q + 18 = 0, 21*u - 18*u = 2*q + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b**2 + 16. Let x be n(0). Solve -2*v + 0*v + x = -2*l, 2*l + 13 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137000 rounded to the nearest 1000?\nAnswer: 1137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 424951093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4464*w = -1339 + 1339 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 678973405 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/3)\/y*y*y*y**(1\/9)*y*y*y*(y*y*y\/(y*y**(3\/2)\/y*y)*y*y)\/y**2)\/(y*y**0*y*y\/(y\/((y*y**1)\/y)))**(-13) assuming y is positive.\nAnswer: y**(791\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -31839 smaller than -31867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 69\/15 + 2\/5. Let c(s) = 2 + 10*s + 0 - s**2 - 4*s - 4. Does 3 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 = -72*j + 266 - 189 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x - 7 + 0 - 2 + x**2. Suppose 5*b = 2*i + 26, 16*i - 24 = 20*i + 4*b. Let o be 0 + i + (7 - 8). Determine z(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 26. Let v(j) = 2*j - 1. Let b(g) = -2*v(g) - z(g). What is the remainder when 97 is divided by b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4287?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 7*c - 23. What is d(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/155 - -7031\/1240. Find the common denominator of (-155)\/(-4)*4\/10 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p + 5. Let t(f) = 4*f + 3. Let o(d) = -3*h(d) + 5*t(d). Let v(i) be the first derivative of -3*i**2 - 14. Calculate v(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -o - 0*c - 2*c, -36 = -3*o + 5*c. Suppose 0 = -d + 2 - 3. What is the remainder when (d + 0)\/(2\/(-98)) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7956, -7929, -7902, -7875?\nAnswer: -7848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**3*b*b))\/(b\/(b*b**(-4))))**(-21\/8)\/((b\/(b\/(b*b**(-1\/4)*b)))**(12\/11)\/(b**(1\/4)\/(b*b**4))) assuming b is positive.\nAnswer: b**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -903*q - 150767. Give n(-167).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2. Let r(l) = -9*l + 1. Give u(r(n)).\nAnswer: 162*n**2 - 36*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-6)\/(-13)) + 763560\/459550?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -416, -726, -1050, -1394, -1764, -2166, -2606, -3090?\n\"Answer: -r**3 - r**2 - 300*r - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (5 - (-1 + 1)). Let d = 9 - 5. Suppose -d*x + 5*c + 36 = -50, -5*x + 85 = y*c. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from wjcchwhcwpccwpcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 402\/25 - 56\/700. Calculate the highest common factor of 56 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0, 5, 4, -1\/90?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.81 + -21. Let n = 106.19 + -104. Let z = n + t. Which is the nearest to -2? (a) 0.5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -210*v**4 + v**3 + 37080*v + 209833516.\nAnswer: -840*v**3 + 3*v**2 + 37080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2445*d**3 - 9223*d**2 - 49874338*d wrt d.\nAnswer: 14670*d - 18446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/21 and -67\/432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (34 - 12)) + -32\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/30*(-28)\/(-98).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5108029*s**3 - 257367*s.\nAnswer: -30648174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59701*x**2 - 1696*x + 35638982 wrt x.\nAnswer: -119402*x - 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3919.\nAnswer: 19595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00816 - 3.00816. What is the nearest to -0.06 in 2\/139, 5, v?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 14*v**2 - v + 14. Let h be j(14). Suppose 2*g + 0*g + 8 = h. Let a be 19 + (4*-2)\/g. Solve 10 = -5*f, p + a = -4*p - 3*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 47. Calculate the common denominator of (158\/(-10))\/((-48)\/(-30)) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2\/849, -2\/3, -53, 4?\nAnswer: -2\/849","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4)*(-4)\/6. Let x = -556 - -556. What is the biggest value in x, w, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1075\/(-50) - -21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15689 is divided by 3920.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644 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 j(o) = -6*o**2 + 372*o + 143. Let t be j(62). What is the greatest common divisor of t and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25283 - 19284 = 1647*p + 16504 + 3162 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d\/(d*d*d**(2\/5)*d))\/((d\/(d\/((d\/(((d**(-2\/3)\/d)\/d)\/d*d))\/d)))\/d)**(-7\/8) assuming d is positive.\nAnswer: d**(-1229\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minus 165.3?\nAnswer: -146.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2134.1 + 2049. Round l to the nearest integer.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6)*3*-1. Let g be 0 - (1\/1 - s). Let q(y) = 5*y**3 + y**2 + 4*y + 4. Let v(i) = 6*i**3 + i**2 + 5*i + 5. Determine g*v(w) + 5*q(w).\nAnswer: w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8337708 and 20844270.\nAnswer: 41688540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1226 + -1225.98. Which is the closest to q? (a) 0.2 (b) 3 (c) -0.2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 19*k + 48. What is the tens digit of b(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2275, 1223, 7041, 15167, 25589?\nAnswer: 38295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -311*a - 174. Is 103 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104400 and 796400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46038480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*a + 10 - 94*a - 20 - 30*a - 56*a + 10.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/3 - 2. Which is the nearest to -1\/3? (a) 2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from borbworowodw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -74\/16547 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4356 - 3400. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43434156 to the power of 1\/2, to the nearest integer?\nAnswer: 6590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 922 + -203. Let d = -10053.871007099 - -10772.87100677. Let u = d - c. What is u rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 28*p. Solve -5*n + 5 + 0 = p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -21*d**4\/2 + 38*d**3\/3 + d**2\/2 + 2013*d - 839. Find the second derivative of u(a) wrt a.\nAnswer: -252*a + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4, 5, -221, 8 in descending order.\nAnswer: 8, 5, 4, 0, -4, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 940 = 852. Let p be 12\/10*(29 - 4). Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91, -85, -65, -25, 41?\n\"Answer: o**3 + o**2 - 4*o - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 10, 323.676 in descending order.\nAnswer: 323.676, 10, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39599.\nAnswer: 7, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-45) + (-4)\/(-6). What are the prime factors of q + 36\/3 + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-2*-6 - sqrt(1053) - -4*(-3*sqrt(1053) - sqrt(1053))**2) + (sqrt(1053) - 2*(-5 + sqrt(1053) + sqrt(1053))) + 4)*5.\nAnswer: 360*sqrt(13) + 337030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a*c**3*s + a*c**2*i*s + 160*a*c*i*s**2 + 2*a*s**2 - a + c**3*i + 5*c**3 + 4*c**2*s**2 wrt i.\nAnswer: a*c**2*s + 160*a*c*s**2 + c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3420 - -583. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*g + 0*g - 2*g + g + 3*g - 6*g + (0 + 3 - 5)*(-2*g + 1 - 1))*(-16*g**2 + 28*g**2 - 22*g**2) in the form u*g**3 + k + j*g + v*g**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 40076.45 kilograms?\nAnswer: 40076450000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*j + 52 = -107*j. Suppose 54 = 3*w - 2*c, -3*c + j = w - 2*c. Solve h - w = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15735 and -0.05.\nAnswer: 15734.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9947274 decades in millennia?\nAnswer: 0.009947274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381680426 to the power of 1\/3, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*-4*(sqrt(204)\/(sqrt(12)*-2 + sqrt(12)) - (-4 + -1*sqrt(17)))**2 + 4 + 3)*-4.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2) + (-20853)\/(-14 + 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 - 374. Solve -4*t + 1 = -5*q + w, 0 = -q + 3*t + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14 + 0 - 9 - 72*o. Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14964 divided by 174.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3108, 6, 4 in increasing order.\nAnswer: -5, 0, 4, 6, 3108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 217156*o + 434317. What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 47*c - 88. Let d be z(-26). Let i = d - -1021. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405164 is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 3*u**2 + u + 3. Let b be l(-3). Let w(i) = b*i - i - 4 - 8*i - i**2. What is the units digit of w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88157493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-3*j**2 - 17 + 17) + 19*j**2 - 72*j**2 - 61*j**2 - 42*j + 42*j - 17*j**2 to the form q*j**2 + c + f*j and give q.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 1 = -u - 3*w, 5*u + 5*w = 25. Suppose u*t + 4 = -10. Let m be 3\/(-2) - 19\/t. Is 5 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 21 - 59. Suppose 0 = 5*f + x - 23, 0 = -x + 4 - 1. Suppose w = -5*k + 32, f*w - 7 = -4*k + 9. Calculate the remainder when c is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*2\/(-1). Suppose r*i - 4*i = 3. Calculate the smallest common multiple of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 2, h: 2}. Give prob of picking 2 x, 1 h, and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/7)\/(s*s**(2\/7)))\/(s\/(s**(-2\/21)*s)*s\/(s*(((s*s\/s**5)\/s)\/s)\/s*s)))**(-2\/27) assuming s is positive.\nAnswer: s**(274\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14547 + 38710. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 7*i**2 + 4*i - 52. Let m be z(8). Suppose 31*k - m*k + 6188 = 0. Calculate the highest common divisor of 68 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(1\/3)*g)\/g)))**22)**(4\/35) assuming g is positive.\nAnswer: g**(88\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 68*h + 227. Let q be o(-23). What is q rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*l - 928, -l = 5*k - 1306 - 1014. Suppose 0 = 8*u - k + 72. Which is bigger: u or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 180. Suppose -3*l - 13 - 37 = -2*a, 4*a - v = -4*l. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one halves of a century?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*x**2 - 13*x**3 - 60*x**2)*(4 - 12 - 2)*(-3*x + x + 0*x).\nAnswer: -260*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(6\/4)\/((-120)\/96).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*b - 6*y + 13, -11 = -4*b - 3*y. Suppose -3 = 3*x - b*x. Let n be ((-9)\/x - 2) + 79. Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1263)\/(-3) + (3 + -23)\/5. Let v = k + -347. Calculate the remainder when 487 is divided by v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 85 + 2*g + 12 + (-2*g - 3*g + 10*g)*(-3 - 1 + 6).\nAnswer: 12*g + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18953760 by -1.\nAnswer: -18953760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12*2)\/((-12)\/9).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*v + 21 = 0, -3*v + 32 - 5 = -5*b. Let q(g) = -g**3 - 6*g**2 + g + 6. Let n be q(b). Let r(k) = k**2 + k + 1. Determine r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 79, 202, 395, 670?\n\"Answer: 2*c**3 + 17*c**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*u + 5, u - 379*f + 4 = -377*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 268. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4017 + 4075 = -5*b, -m - 4*b - 47 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 327285308 and 0.2.\nAnswer: 327285308.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58880049419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/8 - 11*y**2. Let g(q) = -11*q**2. Give g(c(z)).\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4429\/2369 - (-18)\/138.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/(n*n\/(n\/(n\/(n\/n**(-4\/7))))*n))\/(((n\/(n*n**0))\/n)\/n)**3)\/(n**4*n\/n**7*(n*n*(n**(2\/9)*n)\/n)**(4\/11)) assuming n is positive.\nAnswer: n**(8845\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 1 - 2*i**2 + 2*i + 2*i**2. Suppose 0*y - 5 = y + 4*j, 3*y = 3*j + 15. Calculate o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73382aa + 7?\nAnswer: -73382a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/5 - 4901*w**3\/5 + 34396*w**2\/5 + 196364*w\/5 + 215952\/5 = 0?\nAnswer: -4908, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 6*a + 8. Let h be (a\/(-3))\/((-20)\/30). Solve s = h*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1113 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1.12, -9.\nAnswer: -9, 2\/3, 1.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88255629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42660607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.23926\nAnswer: -0.0143556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**9\/1512 - r**5\/120 - 2*r**3\/3 + 1. Let c(n) be the third derivative of j(n). What is the second derivative of c(b) wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11*s = 8*s + 230, -s = 3*u - 165. Suppose 0 = -a + 2*a - 207. What is the remainder when a is divided by u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -47. Let s = k + -5. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ffb2 + -164?\nAnswer: -10116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from hfszchb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62095 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**2 - 536*p + 1326. Give l(45).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 6564 + 287*b**2 + 6564 - 74*b**2 in the form t*b + y*b**2 + q and give y.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208428*g**2 + 150086*g wrt g.\nAnswer: 416856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1817444 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71884175 rounded to four dps?\nAnswer: -0.7188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 + q. Let z be u(1). Let a(o) = o**3 - 5*o**2 - 8*o + 4. Let n be a(6). Let s = z + n. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1679*i**2*u**2*z**2 + 438*i**2*u**2 - i*u**2*z + 2*u**2*z**2 - 99*u*z wrt z?\nAnswer: 3358*i**2*u**2 + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178.028 + 178. Let n = 432\/5 + -86. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6\/r*r)\/r*r*r\/(r*(r\/r**(-1\/2))\/r))**(-5\/6)*(r**3*r)\/r**(-2\/9)*(r*r**(-3))\/r*r*r**1 assuming r is positive.\nAnswer: r**(-79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5238, -10570, -15902, -21234, -26566, -31898?\nAnswer: -37230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 + 5*b**2 - 3*b + 2. Let j(u) = -3*u**2 - u**3 - 4*u**2 + 7*u**2. Let n(i) = -4*j(i) + m(i). Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8 and -1 - (127\/24 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/954 and -107\/318.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 2\/25 (c) 3\/2 (d) -4\/5 (e) -1\/156 (f) -66\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/8)\/(-4) - (-7)\/(-5). Which is the nearest to n? (a) -5 (b) 0.12 (c) -15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46e (base 15) in base 13?\nAnswer: 5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, s: 3, p: 1, u: 3, f: 1}. What is prob of picking 1 j and 1 u?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7088 and 68368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 858015 in ascending order.\nAnswer: 0, 14, 858015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1094.007 - -1094. Which is the second smallest value? (a) 0.09 (b) -4\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62905 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 - -17)*(3 + -2 + -68). Let o = n + 70. List the prime factors of (-1)\/((o + -8)\/505).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4923282 divided by -4953\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2361*k**4 + 13*k**3 + 2*k**2 + 28682*k + 24 wrt k?\nAnswer: 28332*k**2 + 78*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*s + 93*s - 55*s**2 - 127*s**2.\nAnswer: -182*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1. Let n(g) = -2*g**3 - 10. Suppose -39*j + 12 + 12 = -35*j. Determine j*n(t) + 60*c(t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 - 78*u + 91. Determine l(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 5:20 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18578, 37137, 55708, 74297, 92910, 111553, 130232?\n\"Answer: m**3 + 18552*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0)*(-2)\/4. Let p be -2 - (4 + (2 - g))*-17. Find the first derivative of -239*z**4 - 19 + p*z**4 + 121*z**4 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73360623?\nAnswer: 3, 7, 43, 137, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040565 take away -827.2?\nAnswer: -1039737.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3333 + 67317 = 5*f. Suppose -34975 - f = -35*b. What are the prime factors of b?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-30))\/(10\/(-30)))\/((-39)\/663).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**4 - 3*j**3 + 554514*j**2 - 970826*j + 83.\nAnswer: 84*j**2 - 18*j + 1109028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 309\/266?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f - 89*f**2 + 41*f**2 + 110*f**2 + 49*f**3 wrt f.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t. Let m(s) = -2*s - 8 + 8. What is r(m(c))?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6738.\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -12, j - 5*c - 8 - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000639577 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 12:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/143, 5, -4640 in increasing order.\nAnswer: -4640, -5\/143, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Suppose -5*t + 2*o + 45 = 0, t + 4*o - 75 = -4*t. Let c = l + t. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from zzhzhbzvvvzvvhzzhhs.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/1400)\/(-4*1\/260).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:15 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-18)\/4)*-8. Suppose 1 - o = -3*s. Suppose -s = -4*h - 5. Is h smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 5:25 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 10675.27 milligrams?\nAnswer: 10.67527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4231 + 121?\nAnswer: 4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42014 + 41165 + 64464 - 8333 + 64495 + 60129)*(3*q - 2*q + q).\nAnswer: 359812*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or 860?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*x - 19 = 0, -2*x - 5 = -5*t - 3*x. Which is the third smallest value? (a) t (b) 0.2 (c) 2\/25 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412582699.\nAnswer: 743, 555293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + a**3 + 3*a**2 - a**3 - 7*a**3 in the form k*a**3 + h + s*a**2 + j*a and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwle when four letters picked without replacement from {e: 1, g: 4, w: 3, r: 1, l: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340*g**4 + 2178*g*r + 280833*r - 5 wrt g.\nAnswer: -1360*g**3 + 2178*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -35. Let y = 22 - w. What is the closest to 1\/4 in -4, y, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-9) + 49\/(-18) + 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 10. Let o(a) = -9. Let d(u) = -4*l(u) - 5*o(u). Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (1\/(-2))\/(8\/16). Suppose -2*j - 126 = -o, -4*o + q*j + 381 = -o. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/(-2170)*4\/(-6).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 114889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13517639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-140))\/(4\/(-6))*-2.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 117*u**7\/70 - 13*u**4\/8 - 191*u**2 + 2. Find the second derivative of s(l) wrt l.\nAnswer: 4212*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 12*y + 4. What is the remainder when 7 is divided by i(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/(a\/a**(-7))*((a**(3\/4)*a)\/a*a*a)**(-25))**(4\/33) assuming a is positive.\nAnswer: a**(-2771\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13310 - 3?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/(25\/(-5))*15\/(-6). Let r(x) = -7*x**2 + 2*x + 1. Let m be r(-2). Let l = m + s. Calculate the highest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -3 in ascending order.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/4315 + 10873\/1726. Calculate the common denominator of y and ((-41)\/9)\/(5\/(-15)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5899 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16138737*l - 12635982 wrt l.\nAnswer: -16138737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p - 21. Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 266 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 20. Suppose 6*u = u. Suppose -3*h + 2*h + 5 = u. Solve 12 = h*l - a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -49. Suppose -w*l = -13*l - 20. What is the remainder when 99 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -21627090.\nAnswer: -367660530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(50\/75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267778749 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/510*120\/(-208)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -509 and -0.4?\nAnswer: 508.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1fc (base 16) to base 15\nAnswer: -23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 3867?\nAnswer: -3866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 358.51543?\nAnswer: 358.71543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1111*z**3 - z**2 - 5012 wrt z?\nAnswer: -3333*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8529, -17057, -25585, -34113, -42641, -51169?\n\"Answer: -8528*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 6*h**4 + (0*h**3 + 0*h**3 - h**3)*(3 - 3 - 2*h) + 3*h**4 - h**4 + 0*h**4 - 3*h**4 - h**4 + 3*h**4 + (-h**3 - 2*h**3 + h**3)*(-3*h + 0*h + 2*h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, m: 2, a: 1, x: 4, y: 1, t: 1}. What is prob of sequence axyx?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 72 = -3*h, 2*h = -2*h - 4*j + 96. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -a + 947, -3*a + 4*u + 3804 = a. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 22 = -4*r, 4*r = -3*o - 2*o + 30. Solve u = -p - 2, o*u = 5*p + 3 - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhlllllllhllhl. Give prob of picking 1 h and 1 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5160*i**3*m**2 - i**3*m + 429*i**3 + 6*i**2*m**2 + 41*i**2*m - i*m**2 - 2*i*m + 189 wrt i?\nAnswer: -30960*m**2 - 6*m + 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - (18 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -2*f. Let k be (-2)\/f + 11\/3. Suppose q - k*r - 1 = -4*r, -5*q - 3*r + 1 = 0. Which is the nearest to q? (a) -1 (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 2723.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 62*t + 42)*(-2 + 2 + 3*t**2).\nAnswer: -186*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + x + 1. Let l(o) = 4*o**3 - o**2 + 2*o + 1. Calculate 2*b(f) - l(f).\nAnswer: -2*f**3 + 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130669149.\nAnswer: 2903, 389483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 20. Suppose -7*b + 5*b + 22 = 0. Let r be n(b). Let a be (-7)\/(-2) - r\/6. Solve -a*y = 4 - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -258\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-2 - 1)) + 1. Let q = b + 0. What are the prime factors of q\/6 - (-44)\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 9*m**2 + 3. Let t be v(9). Suppose -t*s - 5*s**3 + 8*s**3 + s**2 - 2 - 10*s**4 + 11*s**4 = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 3*i + 1. Suppose 3*o = -0 + 9. Let l be f(o). Let g = l + -13. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3927 times 11?\nAnswer: -4.3197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 2\/19, 4 in increasing order.\nAnswer: -4, -1, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17294143273892\/589281165 + 1\/107142030. Let k = -29343 + h. Find the common denominator of k and 2\/(-3)*79\/(-16) - 1.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 18*q - 15. Determine j(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20536 and 1510?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = 1. Which is the fourth biggest value? (a) 4\/3 (b) -2\/13 (c) p (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.12, 4, -5\/2, -90, 24, 0 in increasing order.\nAnswer: -90, -5\/2, 0, 0.12, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49213741 - 2.45.\nAnswer: -49213743.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q. Let u(z) = 6. Let l(a) = a**2 + 5. Let p(g) = 6*l(g) - 5*u(g). Determine k(p(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*i + 32, 4*f + 10 + 4 = i. Let g be i\/45*105\/(-70). Let p be 1 + 1 - 13\/7. Which is the nearest to 2\/9? (a) g (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -306, -619, -930, -1239, -1546, -1851?\n\"Answer: m**2 - 316*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 523495202 - 6525.\nAnswer: 523488677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 58*b - 54. Let n be j(-20). Suppose -t - t + 6 = r, 5*t + 3*r = 15. Suppose t*c = -c - 40. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489103633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from {y: 5, x: 5, p: 2, t: 3, n: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r. Let i(q) = q**2 - 6604*q**3 + 2 + 6609*q**3 - 11*q + 14*q. Calculate 3*c(g) + i(g).\nAnswer: 2*g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3050360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 31 (c) 1\/3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 13*p + 32. Let a be f(-8). Let c(z) = 9*z**2 - 19*z - 2. What is the units digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 7. Let n be k(11). What is the third derivative of 11*i**5 + 3*i**5 - 9*i**2 - n*i**5 wrt i?\nAnswer: 600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 37\/5, 0.5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = -7*b + 5*b, 10 = 4*b + 3*v. Let m(y) = y**3 + 11*y**2 - 13*y - 11. Calculate the smallest common multiple of m(-12) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:55 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32411.\nAnswer: 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -7. Let q(t) = -6*t - 11*t**2 + 0*t - 5 + 12*t**2 + 13. Calculate q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 317024 (base 8) to base 16\nAnswer: 19e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-20)*((-20)\/8 - 0). Solve 4*h - v = -19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227575 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 287 + 17b8?\nAnswer: 1a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980927001.\nAnswer: 31, 47, 907, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279300 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2065.6 - -2990. Let v = r - 1011. Let c = v + 94. Round c to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8569*q + 1139595. Give t(133).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226442.\nAnswer: 2, 19, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -2*c + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1205\/4957 + 81173159\/11450670. Let m = 237\/35 - q. Find the common denominator of 125\/24 and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 2*s**3 + 2*s**3)*(-1 + 4 - 1)*(-302 - s + 310 + 3*s).\nAnswer: 20*s**4 + 80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-71 - -84) + -8 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18426701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z - z + 0*z - 4*z - 2 + 2*z + 2 + (-2*z + 0 + 0)*(4 - 3 - 3) - 4 + 4 + z - 4*z + 5*z - 2*z + 2*z - 2 + 2)*(5*z**2 + z**2 - 2*z**2).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 838435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10654475 or -10654474?\nAnswer: -10654475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)\/t**(-2\/23))**(-24) assuming t is positive.\nAnswer: t**(-2808\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.009 and -0.011.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 469, 3749, 12637, 29935, 58445?\n\"Answer: 467*q**3 + 2*q**2 + 5*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*y - 24, 3*y - 27*s - 21 = -26*s for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 + 12*q - 58. What is i(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122652 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646.747ug in tonnes?\nAnswer: 0.000000002646747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 740498 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + o + 3, -2*p = 3*o + 17. Let t(q) = -2*q**2 - 6*q - 5. Let y be t(p). Let b = 7262\/33 - 220. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3 + 5*b**2 + 400*b - 2000 = 0?\nAnswer: -20, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23999363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, j: 2}. Give prob of picking 3 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 + -2 + 11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = 1. Let h be (-3 - -3)*(-1)\/2. Let u be 2\/6 + (-78)\/18. Which is the nearest to h? (a) u (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1875 + -0.1875. What is the nearest to 1\/3 in d, -2, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -216*x**2 - 29*x - 28. Give z(-1).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3481433 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22810.9 (b) 0 (c) 1.03 (d) -0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, e: 4, f: 4, x: 2, r: 1, p: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 3*o**2 - 9*o - 1. Let b be m(-4). Solve -1 = f + k - 0, -2*f = -5*k - b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -91. Let p = -75 - -43. Which is bigger: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -18, -50, -120, -240, -422, -678?\n\"Answer: -2*k**3 - k**2 + 11*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 95218.2us?\nAnswer: 0.0000264495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.18 plus -89844.174?\nAnswer: -89846.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s + 16 = 0. Let j be 5 - (3\/(-9) + (-13 - -33)). Is s at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/(f*f**(4\/5))*f**3\/f*(f\/(f*f\/(f\/f**4))*f)\/f*f*(f**(2\/7)\/f)\/(f*f*f*f**(-1\/5)\/f*f*f*f)*f**(-4)*f*f*f**(-1\/7) assuming f is positive.\nAnswer: f**(-401\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 3, 314, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/((g**2\/g)\/g)))**(-3)\/(g\/(g\/(g*g**(-10\/9)))*g)**4 assuming g is positive.\nAnswer: g**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363823227, 727646456, 1091469687, 1455292920?\nAnswer: 1819116155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 212?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 2*q - 3*b, 6*q = 2*q - 4*b + 376. Suppose -2*x - q = -5*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - 2*m)*((4*m + m - 4*m)*(0 + 3 - 1) + 2*m - 1 + 1)*(m**2 - 3*m**2 - 22*m**2)*(-2 - 2 + 5).\nAnswer: 192*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1901 - -1925. What is the highest common factor of 48 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5016 (base 7) to base 3.\nAnswer: 2101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 + 20. Let x be l(0). Suppose 5*w - x - 10 = 0. Solve n = 3*y, 2*n - 3*y = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 - o**4 + 4*o**3 + (3*o - 3*o - o**2)*(o**2 + 0*o**2 + o**2) + (3*o**2 - 4*o**2 + 3*o**2)*(0 + 0 + o**2) - 4*o**4 - 3*o**4 + 4*o**4.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 0.38. Let o = -9 - -7. Let c = -6 - o. What is the closest to 2 in c, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68\/7 + -115\/14. Which is the smallest value? (a) u (b) -0.1 (c) 1\/22 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*n**2*t**3 - 1227*c*n**2*t + 2*c*n*t**3 + 3*c - 42*n**2*t + 35*n*t + 62*t**3 wrt n.\nAnswer: -4*c*t**3 - 2454*c*t - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1907838 - 2?\nAnswer: 1907836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507225 divided by 33815.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507133 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.8022 + -0.0542. Round y to zero dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55786.1l to millilitres.\nAnswer: 55786100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 38505*h**3 + 525328545*h**2 - 1601109701555*h + 1516964883611520.\nAnswer: -5*(h - 2681)**3*(h + 15744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(99) + sqrt(11) + (sqrt(11) - (1 + sqrt(11))*6).\nAnswer: -7*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15.99+-216755\nAnswer: -216739.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14064)\/80)\/((-3)\/20).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**6\/10 - 9*d**5\/20 + d**4\/4 + 3*d**3\/2 + 1610*d. Suppose t(h) = 0. What is h?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Which is the nearest to g? (a) 1\/8 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341 - 1184 + 580 + 13*v.\nAnswer: 13*v - 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:32 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 408*n**3 + 4125*n**2.\nAnswer: 3*n**2*(n + 11)*(n + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 7 = 4*r + 3*j, 2*r = -5*j - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010*(-3916)\/49840*12\/(-22)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.24735697 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47476?\nAnswer: 2, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 16*b**2 + 16*b + 26. Give x(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -5232.73.\nAnswer: -5232.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y + 2*y)*(-4 + 0 + 3)*(-6 + 1 + 3).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 25*u + 64. Calculate the least common multiple of 50 and l(14).\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3082932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*w + 453*w - 40599 = -391*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -15*r - 122. Let h(o) = -3*o**3 - 2*o**3 - 7*o + 3*o**2 + 6*o**3 - 6. Determine h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1828 + 1824. Let a(s) be the second derivative of -2*s**3 - 5*s**2 - s. What is the units digit of a(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5238 by -10.\nAnswer: -2619\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5326215949?\nAnswer: 5326215949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q. Let a(j) = -10*j. Determine a(w(v)).\nAnswer: 90*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 77 - 14 = 4*m, -71 = -5*q - m. Suppose 3*o = q + 12. Solve -5*f = 3*g + o, 4*g - 5*f = 3*g + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2964533 is divided by 42350.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 14) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 217 = 14*d + 184 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -844.4383 - -844. Let i = t - -0.457. Round i to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9130?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + 2 + 153\/(-27). Let a = 226 - m. What are the prime factors of a?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/95 and -76\/3?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141368 is divided by 69970.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c0037c - 5?\nAnswer: 4c00377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 28) + 24 - 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 48*l - 3 + 7.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 466 and 77123?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2422635 and 21261.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1153*v - 2*n + 8 = -1151*v, n + 1 = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7)**(2\/5) assuming h is positive.\nAnswer: h**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10466 is divided by 2522?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1934*z = -1942*z + 352. Suppose -z + 6 = -5*s + 2*j, -4*s - 5*j + 37 = 0. Let b = -53 - -117. What is the highest common factor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.21 - 0.21. Let r = 14 - t. Let n = -3.6 + r. Are n and 2\/5 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = 3*s - 44, -5*h + 22 = 2*s. Let x be s\/56 + 9\/(-7). Does 3 divide (x - (-4 + 6))*(0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 14*k = -3. Let q be 13*k\/(1\/(-4 - -6)). Which is greater: q or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t + 1. Let u be d(1). Let z = u - 13. Solve 0 = j + z - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-8) - 564\/(-16).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 30203213021?\nAnswer: 30203213023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 1632 - 1591. Suppose -2*v - w = -13337. Is (v\/(-9))\/(4\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 6*g + 2*g + 4*g.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -21063 and 3989 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39253763, 78507551, 117761339, 157015127?\nAnswer: 196268915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) -4 (c) -3\/8 (d) -8 (e) 0.5 (f) 2\/77\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.6 - -59. Let h = t + -6.7. Which is the second biggest value? (a) 4 (b) -1\/2 (c) h (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -330*z. Let x(n) = -61*n**2. Determine x(i(y)).\nAnswer: -6642900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18 = 12. Let n be 5\/(g\/(-32))*-3. Calculate the greatest common factor of 112 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-864)\/((-12)\/4) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11425, -11423, -11421?\n\"Answer: 2*n - 11427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 87799.\nAnswer: 877990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 411170339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7493, 7485, 7477, 7469, 7461?\nAnswer: 7453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Suppose 5*f - 44 = 2*f + s, 0 = -5*f - 5*s + 100. Let j = f - 10. What is the units digit of t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3866, -6, 8 in increasing order.\nAnswer: -3866, -6, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -5*i**4\/12 + i**3 + 6*i**2 + 1. Let s(o) = 7*o - 4. Calculate -5*b(z) - 7*s(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2203 (b) -1\/7 (c) 0.4 (d) 3.618\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7025604.\nAnswer: 2, 3, 585467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from fjvvvvvfflfjvv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 234372134 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 510 + -510. Suppose i = 84*d - 83*d + 1, -3*k - 3*d = -3. Solve 4*u = -5*n - 17, 2*u - k - 7 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11))**(-15\/2))**(-6\/7)\/((c\/((c*c**(1\/8))\/c))\/c**(1\/4)*(c*c*c**(-1)*c)\/c*c\/c**(-1)) assuming c is positive.\nAnswer: c**(-1513\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*r - 8, 2*l + 4*r - 4 = -0*r. Let q(d) = 12*d**l - 8*d**2 + 3*d - 22*d**2 - d. Let y(x) = 2*x. Calculate q(y(i)).\nAnswer: -72*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 16, -n = -8*h + 7*h + 3227. Suppose 73 - h = -3*j + 4*l, j = 2*l + 1052. What are the prime factors of j?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*r**5\/5 + 18*r**4 + 94*r**3\/5 - 138*r**2\/5 - 68*r\/5 + 48\/5 = 0. Calculate r.\nAnswer: -1, 6\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -6*g + 2*g, 2*d + 1 = -5*g. Suppose -u + 20 = x, -u + 3 = -d. Suppose -13*h + x*h = 28. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166715 and 1175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*(5 + sqrt(425))*4 - 3*((sqrt(425) - -1*sqrt(425)) + -4)))**2.\nAnswer: 380160*sqrt(17) + 2481984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, x: 4, j: 7}. Give prob of picking 3 d.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 5. Let s be ((-225)\/(-27) - 7)\/(4\/(-318)). Let d = 108 + s. Give v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -3*y**7\/35 + 11*y**6\/10 + 2083*y**5\/20 + 255*y**2 - 4. What is the third derivative of z(n) wrt n?\nAnswer: -432*n + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -41. Let i be k\/(-4) - 4\/16. Let g(p) = p**2 - i*p**2 + 5*p**2 + 2*p**2. Let w(o) = o. Give w(g(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 29*b - 315. What is g(-23)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 1\/2*s**3 + 5\/24*s**4 + 1\/12*s**5 - 1\/120*s**6 - 8*s**2 + 0*s + 4. Let q(u) be the second derivative of a(u). What is q(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/(-54)*(-120)\/35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5006 - -5008. Solve 3*w = 4*n - 8, h*w - 5*w = n + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-77)\/(-28)*(-78 - -2). Let q = z + 97. Let p = -195 - q. Is -83 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*s. Suppose -435 = -s*i - i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(11000\/(-26400))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**0*(l\/(l\/l**(-1))*l)**(-9)*((l\/(l**(-2\/3)\/l))\/(l*l*l**(-5)))\/(l*(l**(1\/4)\/l)\/l*l)**(1\/24) assuming l is positive.\nAnswer: l**(181\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-150)*-20)\/(2\/(-6)))\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/17? (a) -4 (b) -71 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 8\/1 - -2. Let w = 3 + k. Solve w = -5*g - 2*z - 16, -z - 5 + 3 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 - -6. Sort 0, 2, o in ascending order.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*sqrt(117)*1 - sqrt(117) - (-2*(sqrt(117) + (sqrt(117) - 1*sqrt(117))) + sqrt(117) + sqrt(117)))\/(-1*sqrt(9)*-6*2) + 1).\nAnswer: -2*sqrt(13)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 0*m + 3*m + (-2 + 2 + m)*(-2 + 2 - 1) + 69*m + 48*m + 5*m + 0 - 2*m + 0 + (-2*m - 2 + 2)*(7 - 1 - 2).\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 917, 923, 949, 1007, 1109, 1267, 1493?\n\"Answer: 2*q**3 - 2*q**2 - 2*q + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8515080 and 6120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrrrrrdrr. What is prob of sequence dr?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-22)*27*24\/324. Factor 6\/11*b**3 + 2\/11*b**4 - 48\/11 - 56\/11*b - s*b**2.\nAnswer: 2*(b - 3)*(b + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*g + 34*g - 3. Suppose g*k - 99 = -2*s, -2*s + 36 = -4*k - 70. Let m = -45 + s. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.8 from -11.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:15 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgh when three letters picked without replacement from {h: 1, y: 2, s: 3, g: 1, m: 6, d: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (-1 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:41 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 696 + -358. Let h be o\/(-6) - (-2)\/6. Is 6\/4*h\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12252 - -12252.003122. What is m rounded to 5 decimal places?\nAnswer: 0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/270 and -149\/39024?\nAnswer: 585360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-1 + 0\/2). Let a(r) = r**3 - 3*r**2 - r. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6869 + 1970 + 2092)*(-2*w - 3*w + 4*w).\nAnswer: 2807*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 71715549?\nAnswer: -358577745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) -3 (c) -24\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/10 + 4*k**3\/15 + k**2\/5 - 4*k\/5 + 3. Suppose x(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 66*r - 844. Solve 10*n - r*n = 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 >= -66056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f + 92 = 0. Let x = 21 - f. Is 490\/21*(-9)\/x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17345 - -17320. Let v(r) = -r**2 - 15*r + 248. Determine v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -1\/5, -2, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 3774?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2702, -5482, -8420, -11594, -15082, -18962, -23312, -28210?\n\"Answer: -13*z**3 - z**2 - 2686*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1125) + ((sqrt(1125)*3 + sqrt(1125))*6 - sqrt(1125)) + sqrt(1125)))\/(4*((sqrt(270)*-5)\/sqrt(5))\/sqrt(6)))**2.\nAnswer: 28125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 10 = 0. Let q(j) = j - 7. Let d(g) = -g + 22. Let h be d(15). Let z be q(h). Put i, z, 2 in increasing order.\nAnswer: z, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*n**5 - 33*n**4 + 342*n + 13 wrt n.\nAnswer: -460*n**3 - 396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4158.79267 rounded to one decimal place?\nAnswer: -4158.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85577?\nAnswer: 85577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*o + 16 - 240, 0 = -n - 2*o + 113. Suppose 0 = p + s - 20, 5*p + 0*s = s + 112. What is the remainder when n is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -111. Suppose -c*n + 210 = 3*n. Solve 3*m = -0 - n, -a + 5*m = -27 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmdd when four letters picked without replacement from {m: 3, d: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 288. Let x = -252 + y. Suppose 15 = 5*z - 4*a - 15, 2*z - 4*a = 12. What is the greatest common factor of z and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + 1*48. Let f be (-5)\/(45\/(-162)) + 1*2. What is the highest common factor of j and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 0 + 1\/20*d**5 - 10*d**2 + 7\/6*d**3 + 1\/6*d**4. What is the remainder when t(-4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, 367, 1137, 2299, 3853?\n\"Answer: 196*v**2 - 210*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 7721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/7 + 115158*p**3 + 3224448*p**2\/7 + 3224456*p\/7.\nAnswer: -2*p*(p - 403057)*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 = -4*b - 4*z + 930, -40 = -4*b - 2*z for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 896438 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - ((1 - -2) + 3 + 6 - (-55 + 58)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.52294 + -81.59. What is i rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 18043\/182?\nAnswer: 18043\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 60 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25399108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668205 and 620?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 22\/3)*3. Does 21 divide (g\/75)\/1 + (-628)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/18)\/((-2)\/15). Let l(q) = q**3 + 4*q**2 - 5*q + 2. Determine l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/4)*h)*h)**(-9\/2))**17 assuming h is positive.\nAnswer: h**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 0.1, -159.8, 0.5, 129?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812795762.\nAnswer: 2, 3, 16747, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 725150 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: -1113243100 (base 5) to base 4\nAnswer: -21130331030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 842 + -587. Suppose -3*w - 2*w = -p. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -224926749 divided by -74975583\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/7 + 523109*u\/7 - 50209248\/7 = 0 for u.\nAnswer: 96, 523013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-3)\/9*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.198797 to three dps.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1866 = -2*u + 273, -3*u + 2*p = -3210. Factor g**4 - 8*g - 16 - 530*g**3 - 530*g**3 + 15*g**2 + u*g**3.\nAnswer: (g - 1)*(g + 1)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.2 (c) 1\/3 (d) -4 (e) 0.6 (f) 0.614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + k + 1. Let s be w(-1). Let g = 5 - s. Let u be (g + 1)\/(9\/18). Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 9:20 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 8 (c) 1 (d) 32 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*z - 4545*z - 1478*z.\nAnswer: -6314*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/5*(-50)\/(-200).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(833) + -2.\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.104 - 29428031494.\nAnswer: -29428031495.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 27*w**2 - 17*w + 2756. Let t(y) = 6*y**2 + 4*y - 689. Give -2*m(i) - 9*t(i).\nAnswer: -2*i**3 - 2*i + 689","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aulubtbr. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -485 (base 9) to base 10\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 27*n + 12 - 2*n + 8.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5060339 is divided by 2530109?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -4)*-9*5\/(-60). Let q(h) = -22*h**2 + 24*h**2 - h**2 - 8. Determine q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(((-3)\/(-30))\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-4)\/((-40)\/(-107)). Let t = -64 + w. Which is the closest to t? (a) 0.2 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14\/w**(-6\/11))**(-3\/50) assuming w is positive.\nAnswer: w**(-48\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26892 = 950*d - 954*d. What is the common denominator of -1*d\/1260 - (-4 - 1) and 149\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 65\/2. Factor 0 + 0*j + 0*j**2 - y*j**4 + 1\/2*j**3.\nAnswer: -j**3*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-272)\/(-14))\/(4 + (-494)\/133). Sort a, -3, -6 in descending order.\nAnswer: a, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-14*14\/(-1568).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1139612*w + 4558497. Calculate u(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/((sqrt(2) - (sqrt(2) - sqrt(32)))*3))\/(sqrt(49)\/(-1*sqrt(28))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p + 16. Suppose 0 = -2*g - g + 3, 0 = -q + 4*g - p. Suppose q*l = -o + 6*o - 30010, 5*o = 2*l + 20010. What is l rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168786 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -42673 divided by 1?\nAnswer: -42673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111011 + 111?\nAnswer: -101100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -157 - -4)\/(-1). Let t = a - -306. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -101. Let o(i) = -i**2 - 35*i - 9. Is o(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 51*i**2 + 65*i - 433. Determine f(-50).\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*v + 2)*(-4*v**2 + 9*v**3 + 4*v**2).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**10\/10080 - s**6\/360 + s**4\/8 - s**2. Let l(z) be the second derivative of d(z). Find the second derivative of l(q) wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9576?\nAnswer: 9576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 - -145. Solve -3*l + y = -3*y + 14, 3*l = y + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -70 and 7.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**2 + 3*c - 9. Suppose 5*r = 3*n - 24, 0 = 5*n + 3*r - 3 - 3. Let h be p(n). Solve -l = -h + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 1c8?\nAnswer: 1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -156 (b) 3 (c) -0.5 (d) -6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4102 - -4119. Solve -21 = w - u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffk when three letters picked without replacement from fffkffkffk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168, 682, 1546, 2766, 4348, 6298, 8622, 11326?\n\"Answer: f**3 + 169*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-2944)\/42) + 200\/105 + -2. Solve h*l = 81*l - 42 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 - 39 = -4*d. What is the greatest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 350*p + 23150. Give k(-66).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 363.4 - 359.439. Let w = -0.039 - x. Sort -1\/10, 0.2, -9, w.\nAnswer: -9, w, -1\/10, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 31*j - 47. Let s(y) = y**2 - 6*y - 1. Let u(c) = 3*s(c) - x(c). Determine u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3*a + a)*(-2*a**4 + 0*a**4 + 4*a**4) + 4*a**5 - 6*a**5 + 0*a**5.\nAnswer: 10*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37428, 74858, 112292, 149730, 187172, 224618, 262068?\n\"Answer: 2*o**2 + 37424*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4)*(-3 + 5). Suppose 3*r = p*d + 65, 3*r - d - 2*d = 63. Solve -5*j - r = 0, -j + 1 - 8 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/27*-6*2)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 181*p - 7852. What is i(109)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4298466 is divided by 389.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/105)\/(36\/12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.1. Let u = o - 4.2. What is the second smallest value in -5\/3, u, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -34*u - 318. Let j(k) = 180*k + 1590. Determine -3*j(z) - 16*n(z).\nAnswer: 4*z + 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-21)*(-2)\/(3 + -5)*-12\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -183*a**2 - 8049*a + 242. Calculate d(-44).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24845 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/11 + 840*n**4 + 1221103*n**3\/11 + 744324*n**2 + 11564620*n\/11 = 0.\nAnswer: -9106, -127, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4)*(1 - 0). Suppose 0 = -5*k, -r + 21 = -5*k - g. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379.029 - -379. Let d = b + -0.971. Which is bigger: d or -0.412?\nAnswer: -0.412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14030 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5253 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2367*-75.3.\nAnswer: 178235.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 78*y**2 - 102*y + 51. Is j(56) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.85+1.4\nAnswer: 16.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, -0.337, -3, -1\/7?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67301332?\nAnswer: 2, 7, 2403619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-52)\/8)\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -73. Suppose -2*p + 16 = -2*j, 5*j + 33 - 1 = 3*p. Suppose -2*s + 12 + p = 0. What is the highest common divisor of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/6 - 73*s**4\/6 + 37*s**3\/3 = 0.\nAnswer: -74, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-225)\/(-9))*1\/(-3)*123\/(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/3 - 29922*c + 3318604\/3 = 0.\nAnswer: 37, 44846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*(20\/(-15))\/((-4)\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/64 + ((-14)\/(-196))\/((-208)\/182)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {l: 9, j: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 + 25 = 0. Suppose -3*s + f = -8. Suppose 10 = s*t - 0*t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 420\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 2.1\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 3*z + 1. Let j be c(-1). Suppose 2*p - 4 = w, -j*p + 6 - 2 = -5*w. Solve 4*n + w + 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1734 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Let x(b) = 2*b**3 - 2*b**2 + 5*b - 1. Is x(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3145 + -15245211?\nAnswer: -15242022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-21) - 232\/(-6). Calculate the highest common factor of 114 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 + -262. Differentiate -24 + 74*p**r - 7 - 29*p + 29*p with respect to p.\nAnswer: 148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 71, 2\/3, -5 in decreasing order.\nAnswer: 71, 5, 1, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:33 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let i = r + 3. Solve 1 + 3 = -i*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Differentiate 7*w - 10*w + 3*w - 7*w**b + 1 wrt w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 87, 196, 389, 690?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 25?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3274 - 3271. Solve -20 = j*m - 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 128?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/40138 and -71\/8.\nAnswer: 160552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1*4 - (sqrt(204) + 4*sqrt(204))*-1)\/((1*sqrt(588) + sqrt(24)\/sqrt(2)*-2)*-6).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277328.\nAnswer: 2, 317, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450 - -134115414?\nAnswer: 134120304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 3*n)*(-3629*n - 20 + 11001*n - 3645*n - 3601*n).\nAnswer: 252*n**2 - 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - (-3 - 18)) + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 255, -914, -5, -10 in decreasing order.\nAnswer: 255, 2, -5, -10, -914","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 101001111000010010 (base 2) to base 13.\nAnswer: 60103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 71.5, 1\/4, -21\/40.\nAnswer: -5, -21\/40, 1\/4, 3, 71.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-3)*t)\/(((t*t**(1\/7))\/t)\/t))**(24\/13)*(t\/(t**(-1\/4)\/t)*t*t*t**(-6)*t)\/(((t*t**(2\/7))\/t)\/t*t**(2\/7)) assuming t is positive.\nAnswer: t**(459\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnfijee. Give prob of picking 1 n, 2 t, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95*(-15)\/660 - 6\/(-4) and -5\/692.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a. Let c(v) = 69*v - 239. What is l(c(o))?\nAnswer: -897*o + 3107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 711\nAnswer: 43\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 126. Let r(j) = -12*j + 3*j**2 - 70136*j**3 + 7*j**2 + 70135*j**3 + 4. Give r(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 24, 2, 1, -5.\nAnswer: -5, 1, 2, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 3. Let i(f) = 3*f + 8. Let j(x) = 3*i(x) + 8*s(x). Let p(q) = 4*q**2. Calculate p(j(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*r - 41. Suppose r*v - 2*v - 644 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x**2 - 17*x + 3. Suppose -2 = -5*o + 4*o. Let r(j) = -3*j**2 - 4*j + 1. Suppose 2*i + 2 = 4*f, 5*i + 27 = -4*f - 34. Give i*r(q) + o*h(q).\nAnswer: q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.5. Let m = 1115\/3794 - -73\/542. Which is the nearest to -1? (a) -4\/7 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*m + 4*m = -11, n + 2*m + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6887 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1032, -2, -130?\nAnswer: -0.1032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - (-6 - (-5 - -1)). Let v = b + 1. Let i(d) = -51*d**3 - 3*d**2 + 4*d. Let t be i(v). Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqp when four letters picked without replacement from {p: 3, q: 6, u: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - u**2 + u + 1. Let g be (-21)\/(-2) - 2\/(-4). Suppose 4*n = 2*p + 10, -5*p + 3*n - g = -0*p. Give d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 384, 4, 2, -1 in descending order.\nAnswer: 384, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 12 = 2*s - 3*h, -21 = -2*s - 3*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 + 817*d**3\/4 - 606*d**2 - 3673*d + 8140 = 0.\nAnswer: -4, 2, 5, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:25 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12026 - 6934. Is i a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 172 + 22 = 4*t, 5*t - 250 = -5*l. Does 11 divide (213\/(-1))\/(-1) + t + -52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 465.4?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/568624 and 59\/177695.\nAnswer: 2843120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 90 + 288. Suppose 9*u - 16*u = -s. Find the third derivative of u*l**3 + 30*l**4 + 0*l**3 - 18*l**3 - 12*l**2 wrt l.\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7.02. Let y = r - 0.08. Let m = 0.5 + y. Which is the closest to 0.1? (a) 3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995 = -8*v + 3*v. What are the prime factors of v?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -22*y - 1 + 26*y - 2 + 19. Let f be z(-4). Suppose -2*j = 5*m + 5, f*j + m = -j + 2. Solve 2*l - j*g - 10 = 0, 3*l = 8*l + 3*g + 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 33*n - 36. Calculate the least common multiple of 18 and t(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {z: 7, w: 4, o: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/9 and -17\/580.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1677, 3376, 5085, 6810, 8557, 10332?\nAnswer: 12141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 7:08 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyg when three letters picked without replacement from ggygyggygggyyg?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 31187 + 348 = 0. List the prime factors of d.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 9008660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526578 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2323?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*a + 4*p, 2*p + 18 = -3*a - a. Let q be ((-18)\/(-4) - 2)*-2. Let c = q - a. Solve 3*o + 0 - 3 = c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(242) + -4)**2 - (sqrt(100)\/(sqrt(10) + 1*sqrt(10)))\/(sqrt(15)\/sqrt(3)*-3).\nAnswer: -527*sqrt(2)\/6 + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 534\/(-177))*1. Let g = l - 107\/649. Let k = -187\/9 + 21. Which is the smallest value? (a) g (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.75 + 0.25. Let g = 13 - l. Is g bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*i - 5 + 16 + 16 - 11*i with respect to i.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, 1 v, and 1 q when four letters picked without replacement from {w: 1, y: 3, v: 2, j: 1, q: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 3\/2, -1\/4, -5, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136614029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 702559\/30898425 - 57\/2525. Let m = 795361\/269214 + q. What is the common denominator of m and -77\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - u - 3*u, -4*q - u - 4 = 0. Let g be -15*(-6)\/(-9)*-1. Let m(l) = l - 4 - 6 + g. Determine m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) -169395 (c) -5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-51940)\/280)\/53)\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) - 295\/(-5). Suppose 4*u = 7 + n. Solve u = -h - 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + 1841\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15756 and 3232?\nAnswer: 126048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3 - 9*h**2 + 7032*h + 159325?\nAnswer: 3*h**2 - 18*h + 7032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*w = 36, 70 + 62 = 5*t + w. Suppose 0*j - 5*m = -j + t, m - 66 = -4*j. Solve -3*a + 23 = j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 + 33*l**2 - 16*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -18*c + 4. Let g be t(2). Let z = -14 - g. Let a(u) = -11*u**3 - 2*u**2 + 1. What is the lowest common multiple of z and a(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72558 + 296995. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = -5*p - r, 7*p + r = 3*p - 389. Let l be ((-2)\/(-8)*2)\/((-16)\/p). Solve w + 0 + l = -2*d, -3 = d + w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 - -258. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 119*c - 671. Calculate h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-22 + 42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21*t + 10. Let u be d(6). What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzjjzzz. Give prob of sequence zzjj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 + 52*s**2 = 0. What is s?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, m: 3}. What is prob of sequence mtm?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-60))\/(15\/(-160)))\/(8\/20)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.1 (b) -5 (c) 7342.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.2717723 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 36*h**2 + 16*h. Let w be m(9). Let n = -133\/33 - -4\/11. Find the common denominator of 1 + (w\/(-16))\/9 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/599460235 and 54\/599460235.\nAnswer: 599460235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288933 by 37.\nAnswer: -7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26382, 26311, 26180, 25977, 25690, 25307?\nAnswer: 24816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123955 times 0.4\nAnswer: 49582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 1188, 1473, 1740, 1983, 2196, 2373, 2508?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, -1\/4, -6 in descending order.\nAnswer: 1\/25, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(112) + sqrt(112) + (sqrt(112) - (sqrt(112)*2 + sqrt(112) + sqrt(112)))))\/(sqrt(66)\/sqrt(216) + -2*sqrt(176)).\nAnswer: 3*sqrt(2)\/94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 25*v**2 - 144*v = 0. What is v?\nAnswer: -16, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2 + 1 + 2 + -2). Is (-85 - h)*(2 + 26\/(-10)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 5:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + h + 0*h)*(0*h + 0*h + h**3) + 244 - 4*h**4 - 244 + 0*h + 4*h**4 + 11*h**4 - h)*(h + h + 0*h).\nAnswer: 24*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 18*w - 323. Calculate the remainder when 490 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26586 and 3514?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f - 1\/6*f**4 + 0 - 2\/3*f**3 - f**2. What is the first derivative of l(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3025020 + 2?\nAnswer: -3025014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -138 and -3.802545?\nAnswer: 134.197455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23697, 23646, 23595, 23544, 23493, 23442?\n\"Answer: -51*v + 23748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 1\/4, 13546 in decreasing order.\nAnswer: 13546, 1\/4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -4, 47, -1, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*b - b + j, 0 = -5*b + 4*j - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 311.44292 from 144934.\nAnswer: 144622.55708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 14. Suppose c = -c + g. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0 - 1\/3*t**4 + 0*t + 1\/6*t**3 - 15*t**2. Give b(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*h + 110 = 0, 5*m - 2*m + 42 - 37 + 40 = 2*h - 29 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -51, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 14. Let t be s(7). Let f be (4\/14)\/(1\/((-21)\/t)). What is the third biggest value in f, 0.3, 3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-16) + (-140)\/(-160). Let d(l) = l - 24 - 5*l + 22. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illlllllllilil. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/261 and -91\/986.\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -76.99999953. Round z to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 290*b + 671 - 358 = -532 - 335, 8 = -2*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - a**2 - 4. Let t be b(-2). Let y(z) = t - 2*z - 12 + 4. Let n(h) = -2*h**2. Determine n(y(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1 = l + 23, 0 = -5*g - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 13*a - 10. Suppose -a*o = 6*c - 4*c + 2, o - 4*c - 4 = 0. Solve d - 3*f = -o*f - 11, 21 = 4*d + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 69.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.4, -10\/7, -2, 0.3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33305566 (base 7) in base 15?\nAnswer: -3bc23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 10) to base 4.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9011*b - 4503*b + 1621*b - 1134*b.\nAnswer: -13027*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = n - 7. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fplfpffppfpbzfzpp. Give prob of sequence zlz.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 1\/4 (c) 1\/26 (d) -9 (e) 2\/5 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0*y + y + y)*(-10*y**2 - 18*y**2 + 25*y**2 + 38) as h*y**4 + d*y + n*y**2 + k + f*y**3 and give n.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t - 4380 = 18*t + 342*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27173.4281 rounded to the nearest 10?\nAnswer: -27170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 466155323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 4*b + 3*b. Let a(l) be the third derivative of 37*l**2 + 0*l + 0*l**3 + 0 + 1\/12*l**4. Calculate a(k(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 1, r: 1}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*l**3 + 12*l**3 - 133*l**3 + 14*l**3)*(2*l**2 + 0*l**2 - 5*l**2).\nAnswer: 525*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -18)*(((-25)\/60)\/(-1) - 87\/116).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359250633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2230, 4773, 7300, 9805, 12282, 14725, 17128, 19485?\n\"Answer: -a**3 - 2*a**2 + 2556*a - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2. Let m be g(-8). Let a(b) = b**2 - b + 8. Let f be a(m). What is the second derivative of 3*q**2 - q**2 - 8*q**3 - f*q - 2*q**2 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 392 and 126.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140875?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -18. Let m be 6\/(-4)*x\/(-3). Solve a - 3*a + 3*z - 7 = 0, 5*a + 14 = m*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.3? (a) 2\/489 (b) 2\/11 (c) -3 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3144 (base 9) to base 10\nAnswer: -2308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51703.8 millennia in years?\nAnswer: 51703800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-35)\/(-20)*-12*(-3)\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, and 2 h when four letters picked without replacement from {o: 7, j: 5, h: 4}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 34 + -7 - -10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -577 + 580. Solve 5 = s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + d = -14, -64*x + d - 98 = -123*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572 - 582. Let r(i) = -9*i - 45. Let y(l) = 8*l + 46. Let k(j) = 3*r(j) + 4*y(j). Let d be k(t). Which is the nearest to d? (a) -0.5 (b) 7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.88316 millilitres in litres?\nAnswer: 0.05788316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 20*m**2 - 120*m + 189. Let p be q(9). Suppose -7*y = -2*y + 5*o, o = 4*y - 25. Solve 0 = 5*g + y*i, p = -3*g - 2*i + 1 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2008481.\nAnswer: 2\/2008481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s**2. Let i(n) = -5*n - 2*n + 5*n. What is i(x(a))?\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1036552 and 24877248?\nAnswer: 24877248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -3.7, 0, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -334 (b) 4 (c) 3 (d) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = j - 181495 - 1091440, -3*f = 2*j - 954695. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 384 = -11*r. What is the remainder when r is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*o + 45 = 4759 + 2546 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/5))**(37\/2))**(-3\/17) assuming z is positive.\nAnswer: z**(-777\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -487559 in decreasing order.\nAnswer: -1, -4, -487559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (12 + -14)) + 1 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3187 and -144?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = 6*c - c, 6 = 4*t + 2*c. Let v(f) = -t*f**2 + 1681 - 845 - 841 + 3*f. Let o(g) = 0*g**2 + 2*g - g**2 - g - 2. Give -5*o(n) + 2*v(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4 + sqrt(325) + 0)*-3 - (-3*sqrt(637) - (sqrt(52) + sqrt(6292))**2)).\nAnswer: 6*sqrt(13) + 7495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230318\/17 - -13548. What is the third smallest value in 0.0864, -2\/23, w?\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2429)\/(-24290))\/(0 - 2\/18)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from buuujbjdjrdjjbjr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 61\/6314?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*k - 37 = 0, k + k = -2*x + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 1128132*b - 45126480.\nAnswer: 3*(b - 1504216)*(b + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(2\/9)\/z)\/z))\/(z*z**(1\/3)))\/(((z*z\/z**5)\/z)\/(z*z\/(z*z**(-2)))) assuming z is positive.\nAnswer: z**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 27. Let d(t) = -t - 4. Let o = -64 - -35. Let c = o - -15. Let n(l) = -2*l - 9. What is c*d(k) + i*n(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvcvvcvcxcccvccx. Give prob of sequence vx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58240980*f**5 - 5969*f**2 - 28*f wrt f.\nAnswer: -3494458800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 122*r**2. Let x(m) = 65*m. Determine x(t(h)).\nAnswer: 7930*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 26 + 166 = 0. Is (-24597)\/(-21) - 10\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252))\/sqrt(4).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528858 and 157952256?\nAnswer: 473856768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 8*a**2 - 15*a**2 + a - a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275926 = 45*h - 26*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 - -151. Let r(c) = 26*c + 52. Does 26 divide r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48071.2901 to the nearest 100.\nAnswer: -48100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n - 2. Let c(d) = -43*d - 4. Let s be (-2)\/((-4)\/(-20)*-4*140\/168). Determine s*c(m) - 7*f(m).\nAnswer: 18*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srdsdd. Give prob of sequence drdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31781 - 0.04.\nAnswer: -0.35781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2812, -3305, -3782, -4237, -4664, -5057?\nAnswer: -5410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -65\/3. Solve -3*g**4 + 1\/3 + 8\/3*g**2 - 2*g + 2\/3*g**3 + t*g**5 = 0 for g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -1. Differentiate 11*a**3 + 12*a**4 - 6 - 3*a**3 - j*a**3 with respect to a.\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5620*p - 11300. What is the units digit of f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1436 divide 51037290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277125841*a**4 - 6216*a**2 - a + 4181?\nAnswer: 6651020184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l - 30. Suppose 36*a + 56 = 28*a. Let c be o(a). Suppose f + 2*z - 6 = -0*z, -f - 5*z + c = 0. Solve 3*p = t - f*t - 8, 2*p = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z**2 + 11*z - 20*z**2 + 10*z**2 - 2*z + 2. Is k(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2824.1 + 2824. Put w, -1\/7, 2\/3, -5, 0.4 in descending order.\nAnswer: 2\/3, 0.4, w, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**6\/2520 - x**5\/280 + x**4\/42 + 4*x**3\/3 + 16. Let l(f) be the third derivative of n(f). Factor l(s).\nAnswer: -(s - 1)*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138.66334 + -635329.\nAnswer: -635190.33666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/3 - (10\/15)\/(-2). Suppose -2*r = 4*v - 0*r - c, -r - 4 = -v. Suppose -4*j + 12 = -2*p, v*p + 0 = -8. Solve m = j + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Suppose -16*c + 1281 = -3247. Let r(s) = -c*s - 266*s - 252*s + 835*s. What is r(y(q))?\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -33, -45, -25 in descending order.\nAnswer: 5, 2, -25, -33, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 11) in base 6?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, x: 1, i: 5, r: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -57*j**5\/20 + 7*j**4\/12 + 66*j. Find the third derivative of w(a) wrt a.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2190022.07 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 575009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 2*i + 1. Let v be f(-3). Let k be v\/(((-7)\/(-6))\/(-7)). Calculate the highest common divisor of k and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) -0.52 (c) 2\/9 (d) 3 (e) -0.147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 260 + -259 + -6 + (3 - 1) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8*u = 180. Is ((-92)\/10)\/(12\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 + (-1 - 1186\/8). Let a = -109 - p. Calculate the remainder when 117 is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47740 divided by -2387.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6106 - 3658*k - 3649*k + 7308*k to the form r + v*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.47 - -0.07. Let f be ((-6)\/8)\/(15\/10). Which is the biggest value? (a) 1\/6 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835256 + -12 + (-90)\/(-12)*10\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 14 - -1) + (9 - (29 + 0 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1054*a + 1948*a - 959*a + 2275 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5206*n**5 - 322*n**2 wrt n?\nAnswer: -312360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49614?\nAnswer: 2, 3, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 5\/16, -156, 3\/5, -4\/17 in increasing order.\nAnswer: -156, -4\/17, 1\/6, 5\/16, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1422*f**2 + 7*f - 3. Let y be t(2). Suppose -3*v + y = 2*p, -2*p + 5*p = -4*v + 7598. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 15*y**3 - 7*y. Let p be s(1). Suppose 52 + p = 2*q. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(325) + sqrt(13) + -1 + 5 + 3*(2*sqrt(104))\/sqrt(8) + 1)*-2.\nAnswer: -24*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577055917 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sppp when four letters picked without replacement from {p: 4, b: 1, s: 3, z: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2548 + 2*d**2 - 3*d + 2568 + 14*d. Suppose 0 = 2*f + 3*f + 40. Is 5 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 < 33804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 67*m + 36. Let k be f(-33). Suppose -4*g - 1939 = k*z, 4*z + z + 3223 = 2*g. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 + 3779*v - 121 - 123 + 338 in the form u*v + y and give u.\nAnswer: 3779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -361*s**3\/3 + 38*s**2 - 76*s + 1330. Let k(c) = 24*c**2 - 5*c + 5. Calculate 5*d(z) + 76*k(z).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:06 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17*y - 194. Let z be (56\/24 - 6)\/(40\/(-6) + 7). What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 305631413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98547, 98530, 98513, 98496?\nAnswer: 98479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 0 - 1 - 430*v**2 + 460*v**2 + 0*v**3 + 2*v**3 to y + z*v**4 + q*v**3 + t*v + h*v**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4271\/4, -1, 0.1, 1\/7 in decreasing order.\nAnswer: 1\/7, 0.1, -1, -4271\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxe when four letters picked without replacement from sexxexesdxssxsss.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 8:37 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -731.9 + 732. Sort 6, 214, w in ascending order.\nAnswer: w, 6, 214","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16940 and 334740.\nAnswer: 40503540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usuuuuss. What is prob of picking 1 u and 2 s?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from ttwaweetew?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*k - 241*k - 13155 - 25090 - 51719 = 0 for k.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1a3 (base 11) to base 6\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let p be c(5). Let i be (-2)\/(3\/(9\/p)). Suppose -k = -i - 15. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 11:49 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2. Let u be p(-1). Let w(j) = 2*j**2 - j. Let q be w(2). Let l be (q\/15)\/(u - (-17)\/(-5)). What is the smallest value in -3\/2, 2\/9, l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 13\/12*o**4 - 1\/3*o**3 + 0 + 13*o**2 + 14*o. What is the first derivative of z(f) wrt f?\nAnswer: 26*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.066 + 0.166. Let a be 237\/(-15)*30\/36. Which is bigger: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -300*d + 653. Let v be g(2). Solve v = 7*p + 46 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/228 and -139\/30.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7369458 divided by 1228243\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 12. Let n(a) be the second derivative of -a**3\/2 + 1070*a. Calculate n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsswssswwwwww. Give prob of sequence ss.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + 39\/(-195) + (-2 - -3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 32. Let r(u) = 75. Let o(y) = -7*b(y) + 3*r(y). Let s(v) = 2*v + 7. What is 42*o(x) - 6*s(x)?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c0d6 (base 14) to base 7.\nAnswer: 1625356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -87, -167, -245, -321, -395, -467?\n\"Answer: p**2 - 83*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.677 + -209.677. Is u equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -19.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 23*s**4\/12 - s**2 - 61*s + 1. Let b(t) = 3*t**2. Determine y(b(w)).\nAnswer: 207*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5 + 10 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1558\/74 - (874\/(-851))\/(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.26865?\nAnswer: -4.26865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y**2. Let r(k) = k + 10. Determine r(u(v)).\nAnswer: -6*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Let y = c + 0. What is the units digit of y\/((-6)\/3) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -3*y. Let u be ((-148)\/y)\/((-6)\/9). Let r = u + -25. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13506371 to the nearest integer?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 0*n - 7*t - 9 = 10*n, 3*n - 7 = 2*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let y = -57\/4 - -14. Which is the third biggest value? (a) 0.2 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/(sqrt(10)\/sqrt(2)) - (sqrt(3) + (sqrt(3) + 0 + 0 - sqrt(3))))**2 + (-1*sqrt(30))\/sqrt(10) + (5 + sqrt(15)\/sqrt(5) + sqrt(3))**2)*-1.\nAnswer: -37 - 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 + 1.3. Let i = y - -1.19999944. What is i rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003479262 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) - sqrt(98))*5)**2*-6 - (sqrt(20)\/(sqrt(1210) - sqrt(10) - sqrt(10)) + sqrt(20)\/(-1*sqrt(10))).\nAnswer: -25\/3 + 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 4*f + 2*f)*(0*f + f - 3*f) + 0 + 0 - 2*f**2 + 3 - 2*f**2 - 3 + (0 - f + 0)*(-1 + 1 + f) to w + n*f + d*f**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 9. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -104 - 5?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 22 = 5*y - 22, -5*r + 4*y = -98. Calculate the smallest common multiple of 8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -0.03. Suppose -4*n - 27 = -3*i, n - 3*n - 16 = -2*i. Let y be 93 - 94 - i\/(-3). What is the closest to m in -4, y, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = -4*v + 19, 5*v - 20 = 5*n. Is n at most 1\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c + 4. Let b(r) = -48*r + 27. What is 4*b(n) - 27*t(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*t - 3 = 0, 3*t + 54 = -4*n + 21. Let g = 2 + -6. What is the closest to n in 1\/3, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k*y**2 - k - 2*y**3 + 2*y**2 + 19*y + 6272 with respect to y.\nAnswer: -24*k*y - 6*y**2 + 4*y + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -7\/4*a**4 - 1\/6*a**6 - 6*a - a**2 + 11\/6*a**3 + 17\/20*a**5 + 0. Let q(b) = 0. Calculate b.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1. Let h(o) = -23*o + 1. Let x(v) = h(v) + 5*j(v). Let c(w) = -15*w + 4. Let d(u) = -8*c(u) + 5*x(u). Let i be d(2). Solve -4*f - i = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = w. What is the units digit of (-2)\/((2\/w)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(156)*2*6 - sqrt(156))\/sqrt(12) - sqrt(91)\/sqrt(3087))*6.\nAnswer: -2300*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/2 + 39*d**5\/20 - 11*d**4\/4 - 13*d**3\/2 + 9*d**2 - 94*d - 1. Solve q(x) = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by 4?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11725 and 3.\nAnswer: 35175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20.61? (a) -1 (b) -6 (c) 0 (d) 2 (e) 2\/669 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1*(-1)\/(-3). Suppose -3*s - s = 4*o - 68, 2*s - 5*o = 6. Suppose -s*y = -2*y. Is y >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86445740191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 129*b. Let t(i) = 671*i. Calculate t(a(r)).\nAnswer: 86559*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 498692574 equal to 1496077726\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37749.\nAnswer: 3, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*n**2 + 1213*n - 1213*n)*(-73 + 9*n + 73).\nAnswer: -315*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10. Suppose 5 = 2*l - r. Let y(c) = 5*c**3 - 3*c**2 + 4. Let s(m) = -4*m**3 + 2*m**2 - 3. What is l*y(a) + 4*s(a)?\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 9 + 1. Suppose -2 - 5 = -a - m, -5*m = 2*a - n. Calculate the greatest common factor of a and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860533927 to the power of 1\/2, to the nearest integer?\nAnswer: 29335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*x*z**2 + 2*p**2*z**3 + 2*p*x*z**3 + 7*p*z**3 - 2*x*z**3 wrt x?\nAnswer: -p**2*z**2 + 2*p*z**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19804813 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {g: 3, u: 2, q: 1, b: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/19)\/q)*q)\/q)**37*q**(1\/18)\/q*q*q\/(q\/(q\/(q\/(q\/q**(5\/7))))) assuming q is positive.\nAnswer: q**(187297\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-27 + -18)) + -52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*m - 740190, -9*q - m = -1019530 - 5642272. Round q to the nearest ten thousand.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (0 + 3)) + 1. Suppose 0*g = k*p + g - 12, -4*g - 32 = -4*p. Let s = 0.2 + -0.4. What is the smallest value in p, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1757*k**5 + 2632*k**2 wrt k.\nAnswer: 105420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojojjo. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r - 32. Let x be f(-8). Find the first derivative of -3*l**2 - x*l**2 - 7*l**2 - 6*l**2 + 2 wrt l.\nAnswer: -64*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 52 = 136. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c894 (base 13) to base 14.\nAnswer: a205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*g = -40, -3*q + 81*g + 169 - 113 = 477 + 221 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/30 + w**3\/5 + 2*w**2\/5 + 134*w. Factor m(b).\nAnswer: 2*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6\/11)\/(i*(i**40*i)\/i) assuming i is positive.\nAnswer: i**(-457\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -1\/42 (b) -3\/8 (c) 0 (d) -0.5 (e) -827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*l + 415*l - 216 = 0. Solve l*x = -12 - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385837*n = -a + 385842*n + 1 + 27, a = -3*n + 68 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 257. What is the third biggest value in 2\/9, -1\/7, p?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -35*v + 39*v + 17, 0 = v + i + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61185, 122369, 183553, 244737, 305921?\nAnswer: 367105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29386 - 2360597988.7.\nAnswer: -2360627374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73.89999669 + -73.9. What is c rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 9, i: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/72350 and -99\/14470.\nAnswer: 72350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = -5*f + 9*f + z, 4*z + 163 = 3*f. Let t(u) be the second derivative of -1\/2*u**4 + 3*u**2 + 0 + 1\/2*u**3 + f*u - 3\/20*u**5. Factor t(i).\nAnswer: -3*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2. Let u(h) be the second derivative of 0 - 3*h + 0*h**2 + 1\/6*h**3. Determine u(c(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 9. Let i be d(5). Let z = 12.89 + -13. Let l = z + 0.03. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64657259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggitttigiistttgat. Give prob of picking 3 g.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 - 4*r**2 + 13*r - 24. What is i(3)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8) + 5 + (2*sqrt(99))\/sqrt(9))**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1824, 1516, 656, -1032, -3824?\n\"Answer: -46*f**3 + 14*f + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 44*q**2 - 5*q + 5. Let t(f) = -22*f**2 + 2*f - 2. What is 2*i(u) + 5*t(u)?\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 383099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/522 and ((-1431)\/210)\/9 + (-9)\/63 - -2?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694909 is divided by 6134.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 a when three letters picked without replacement from {a: 5, v: 3, k: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00306556 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.55434873 rounded to four dps?\nAnswer: -1.5543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 - 2*m + 5. Let v(t) = 2 + 1 - 3 + t**2 - 1. Determine g(y) + 5*v(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122891799.692961 + 122891870. Let p = 45.307076 - d. Let s = p - -25. What is s rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 2. Let c(o) = -15*o + 7. Let v be c(q). Suppose 5*y - 58 = v. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, 1 l, and 1 r when four letters picked without replacement from qrlphhhrh.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 449427694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2028 is divided by 337.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.3 + 15.4. Let p be -1*2 - (-1 - 68\/60). Is p at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459305 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 - -12?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-7 - (-7 + 12)) + 9 - 5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 2, n: 1, a: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*n + 89*n = -245. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2413, 4830, 7247, 9664, 12081, 14498?\n\"Answer: 2417*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -103. Let c be 11\/(2\/4 - v\/(-6)). Suppose -h + 2*l + 126 = 0, -4*h - 3*l = -397 - 140. What is the greatest common divisor of c and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1 + 56\/24)*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose -2*t - 6 = 5*h, -4 = -3*t - t - v*h. Let d(n) = 3*n - 3*n + n**t. Let i(q) = q. Determine d(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 62*c**3 - 580*c**2 + 1600*c = 0. What is c?\nAnswer: 0, 5, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2 - (1 - -2)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/3 + 19732*i + 15104606\/3 = 0. What is i?\nAnswer: -253, 29851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17414*x**3 - 822*x**2 - 32201705*x?\nAnswer: 104484*x - 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 2. Let a be z(-1). Is a at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 176 = -3*q + 2*q, -h - 2*q = -37. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + 0.46. Let q = 1.257 + x. What is q rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 - 4*s + 1. Let w be g(7). Let l = -342 + 775. Let j = l + w. Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeff. What is prob of picking 4 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.157 - 129.657. Let m = -123 - t. Let d = -25.5 + m. Which is the nearest to 1? (a) d (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 11 + 2 = 0. Let k(j) = j - 7. Suppose -g + 8 = 1. Let d be k(g). Solve d = -2*b - c - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 108532, -85, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-2 + (7 - 2)). Suppose -5*q + 3*q = 4. Sort q, y, 1 in descending order.\nAnswer: 1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 + 3*v**4 - 8*v**4 + (3*v + 2*v - 7*v)*(-3 + 3 - 2*v**3) - 2*v**2 - 2*v**4 + 2*v**2 in the form i*v**3 + y*v**4 + t*v + j*v**2 + c and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -w - 3213, -q + 11*w = 15*w - 782. Suppose 0 = 2*p - 2*o - q, 5*p - 188 = -2*o + 1831. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*-6.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 59*n**5 + 181*n**4 + 113*n**3 + 25*n**2 + 7*n + 5. Let j(m) = -m**5 + m**4 + m**3 + m + 1. Let r(z) = -20*j(z) + 4*l(z). Factor r(s).\nAnswer: 4*s*(s + 2)*(4*s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44696192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 37 + 26 - 7*c + 10*c. Let n be d(-21). Solve -4*o + 4 = -n*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 divided by 416?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62379 and 5742.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -0.106.\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4 - 12*c + 1 to x + k*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66274344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 - -36.37.\nAnswer: -7.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 31*x**2 + 7*x + 7. Let v be (-4)\/5 - (-16)\/(-5). Let k be o(v). Suppose -4*j = h - 177, -j - k = -3*h + j. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35841498 minus 0.4?\nAnswer: -35841498.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8824, -17599, -26374, -35149, -43924, -52699?\n\"Answer: -8775*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 - 4 = 0. Is (-1)\/(1\/(-26)*x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/51 in 1\/4, -0.06, -0.3, 68, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2 - ((-14)\/(-21) + 1432\/(-6))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14008 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 69*g - 343. Calculate w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 123. Let y(o) = o**2 + 8*o - 5. Determine y(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1) + 2886\/(-504) + 220\/1540?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204162956*k*r - 265573402*k wrt r.\nAnswer: 204162956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 21*12073)*((-1088)\/224)\/(-17)?\nAnswer: 2, 3, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-42))\/((-318)\/27 + 12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 2*a - 3. Let h(v) = -2*v**2 + 3*v + 2. Let z = -363 + 404. Suppose 20*g - 63 = z*g. Calculate g*h(i) - 2*j(i).\nAnswer: 2*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 119. What is the tens digit of j*(-32)\/2*27\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 + 72*g**2 - 3402*g = 0.\nAnswer: -63, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-38)*(-249964)\/1716?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*n + k, 35 = 2*n + 3*n + 5*k. Let x be 27960\/72 + n\/(-6). Suppose t - 3*w = x, -3*t - 5*w + 1125 = -w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 + 3480*w**2 + 605520*w = 0.\nAnswer: -348, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 249 - 1183 + 1432.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + (-1050)\/112)\/((-27)\/(-914)). Let x = -94\/9 - j. Factor -3\/4*w**2 - x - 15\/4*w + 3\/4*w**3.\nAnswer: 3*(w - 3)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -763 - -764. Suppose -4*z - 16 = 2*o, -2*z - 18 = 5*o + 6. What is the nearest to z in 4, -3\/8, q?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*a + 214*a + 8*f - 25 = 2*f + 3*f, -4*f = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3 and 4\/261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-11 + -8)) + 303\/(-21). Factor 0 - 92\/7*b**2 - v*b**4 - 44\/7*b - 52\/7*b**3.\nAnswer: -4*b*(b + 1)**2*(b + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 30 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)*a)\/a**(-20) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -22*y. Let w(k) = 58874*k. Calculate n(w(b)).\nAnswer: -1295228*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 23*p - 10. Determine u(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1263)\/(-1266) - -1. Let m = p - 3693\/211. Let v = m + 171\/10. What is the third biggest value in -4, -2, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 0.2, 5\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - (-2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14913911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 571, 699, 1021, 1633, 2631, 4111, 6169?\n\"Answer: 16*h**3 + h**2 + 13*h + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 2*t**4 - 2*t**3 + (t**3 + 2*t**3 + 0*t**3)*(t + 4*t - 3*t + (0*t + t - 2*t)*(0 - 4 + 2) + 5*t - 2*t - 6*t).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 25 = 28*f. Let s(i) = -i**3 + 6*i**2 - 5*i + 5. Let m be s(f). Solve 4*y - m + 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -204*s**2 + 2*s + 2. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-10)\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 68133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*p - 218*p + 11*z - 90*z + 41 - 246, 5*z = 4*p + 49 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/8 - 14*u**3\/3 - 6*u**2. Let t(k) = -k + 40. Let c be t(27). What is the remainder when 32 is divided by j(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*t + t. Let m(r) = 6*r**2 - 3*r + 3. Is m(t) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.07 + -3. Let y = 0.03 + f. Let r = 1\/87 - -259\/174. Which is the nearest to -1? (a) r (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 24 (b) 5\/64 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139074026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/7 - 44*w**3\/21 - 52*w**2\/7 - 64*w\/7 - 26. Factor u(a).\nAnswer: -4*(a + 1)*(a + 2)*(a + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 233. Suppose 109 = l*c + 85. Calculate the remainder when c is divided by (-1)\/((-2 + 3)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3 - 3 + 3*n. Let f(j) = 10*j - 5*j - 7*j. Let q(v) = 4*f(v) + 3*x(v). Let m(c) = -c. Calculate q(m(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 less than 70987\/222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(0 - (-1)\/5). Let n(y) = -3*y**2 - 9*y + 7. Let s(h) = -1999*h + 1986*h - 1632*h**2 + 10 + 1628*h**2. Give u*s(d) + 7*n(d).\nAnswer: -d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 877169723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = -2*i + 34, -5*i - s + 72 = 0. Let q be 2\/(-7) + (-38)\/i. Calculate the remainder when 16 is divided by 1\/(-3) + (-28)\/q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1 (c) 13 (d) 0.5 (e) -2 (f) 5 (g) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by 5123\nAnswer: -189\/5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-712)\/(-6052)*34*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.74 - -698.74. Let y = u - 688. What is the second biggest value in y, 0.1, -0.3, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559962356 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*w = -32, -2*g - 6*w + 298 = 320 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:15 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/180 and -65\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/120 + v**3\/60 + 79*v + 1. Factor a(l).\nAnswer: l*(l + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 16*f + 3. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3446890*x**2 + 6893784*x**2 - 3446898*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.009 + -0.109. Let x = g - 15. Which is the second biggest value? (a) 0 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - g - 1 = 0, 5*d + 23 = 2*g + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*l = 122*l. Let p(y) = 164*y**2 - 2*y - 1. Let k be p(-1). Suppose -3*t + k + 696 = l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/2 - 2469*s\/2 = 0 for s.\nAnswer: -2469, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 + 2*z + 1. Let i(n) = -14*n**2 + 3*n + 2. Calculate 2*i(w) - 3*v(w).\nAnswer: 17*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 4 (b) -0.28 (c) 12\/19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2340 * -0.01.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*b + 6, -24 - 11 = -5*n - 3*b. Suppose -k - 17 = -3*d, -n*k - 37 = -3*d - 14. Let r be (-6)\/k*8\/6. Solve 0 = r*m - x - 5, m - x = -m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46240 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 5*f - 8. Let l be w(-7). Put l, 5, -3 in descending order.\nAnswer: l, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*k + 22, 0 = 2*i - 5*i - 2*k + 7. Let d(u) = -u + 11. Let z be d(9). Let t(g) = g**z - 10*g + 0 + 4*g + 2. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3650117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 41857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 3\/2)\/((-1)\/(-4)). Let k(i) = 9*i - 51. Let c be k(z). Let q be 8 - 0\/5 - 1. Solve -3*g - q = 5*h, 2*g = -0*h - c*h - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000073 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61, -102, -133, -154?\n\"Answer: 5*d**2 - 56*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83957737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -320716595203698 + 0.5\nAnswer: -320716595203697.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84664\/11 + 7691. Is o at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11528*q + 20 = -11533*q. Which is the third biggest value? (a) 16\/69 (b) q (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 357 = -26*h. Let f = h + -15. Let g = f - 287. Round g to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687413 divided by -1440\nAnswer: -687413\/1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151287, -151286, -151285, -151284?\nAnswer: -151283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2249 + 1001 = -13*j. Let i be 200\/j + 1*24\/5. Solve 5 = -i*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9658*w**3 + 9664*w**3 + 9657*w**3 + 9667*w**3 + 9643*w**3 - 48283*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974*o + 1947*o - 964*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 1. Suppose q = 3*b - 16, -q + 5*q + 14 = 2*b. Let c(t) = -t**2 - 1. Let z(w) = w**3 - 7*w**2 - 9*w + 7. Let d be z(8). Give d*c(r) + q*g(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -20, -36, -68, -122, -204?\n\"Answer: -t**3 + t**2 - 2*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108488.32361 take away -0.077?\nAnswer: 2108488.40061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-544)\/2296 - 0 - 6\/(-21)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2125*a**3 - 115*a**3 - 1449*a**3)*(2*a**2 + 3*a**2 - 3*a**2) + (-5*a + 3*a + 3*a)*(-a**4 + 5*a**4 - 2*a**4).\nAnswer: -7376*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeexeeeeexeeete.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4031, -3856, -3679, -3500, -3319, -3136?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6203140625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 1cb76?\nAnswer: -1cb4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(171) - sqrt(171)*2)*2 - ((sqrt(171)*-1 + sqrt(171))*3 - sqrt(171)))\/((sqrt(162)\/sqrt(6) + sqrt(27))\/sqrt(3)*4).\nAnswer: -sqrt(19)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 10, 146*s - 149*s = 3*a - 36. Suppose 0*x - 4*v - 136 = -2*x, 2*x - 133 = 3*v. Calculate the smallest common multiple of s and x.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44369771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1209*0.1.\nAnswer: 120.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80001?\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30325008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -47971410 to the nearest ten thousand.\nAnswer: -47970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.00049 - 23. Round w to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + m**3\/6 + m**2\/2 + m. What are the prime factors of h(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8))**(-11\/4)*(h*h**(1\/2))\/(h**(-3\/7)*h*h) assuming h is positive.\nAnswer: h**(61\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19209565?\nAnswer: 5, 3841913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 5*f**4\/2 + 29*f**2\/2 - 49*f. What is the first derivative of o(s) wrt s?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1, 0.5, -4, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 + 683*x - 674*x - 858 + 374.\nAnswer: 9*x - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*o - 3*p - 170, 0 = -5*o + 3*p - 207. Let j be (2\/1)\/(-1) - o. Suppose g + j = 5*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i + 32*i - 34*i = -1188 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 13, v: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 3\/7 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 10*r - 15)*(-5*r + 2*r + 2*r)*(5 - 4*r**2 - 5) to o*r**2 + x*r**4 + q*r**3 + a + g*r and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 29*t - 12 = -2*k, -k + 15 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 6318?\nAnswer: 69498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 3\/5 (b) -0.2 (c) -2\/63 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose -5*t = k*g - 75, -19 = -t + g - 4. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 50*n**2 - 9. Let m(v) = 102*v**2 - 20. What is -9*c(h) + 4*m(h)?\nAnswer: -42*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 6:47 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 2*y + 4*w - 24925, 50590 = 4*y + 2*w. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26550*x + 20 + 7 + x**2 - 26536*x. Let i be m(-12). Let j = 6 + -4. Solve -5*z - 3*r + i = 0, -j*r = -5*z - 4*r + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-4) - ((-4)\/3 + -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1424*w + 4. Let d be m(-4). Let l be 1\/(1\/10*2). Suppose 0*r = l*r - d. What is r rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-168))\/(((-13)\/(-13))\/(4\/(-22))).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/48 and 29\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - 3*sqrt(1620))*-6)\/((-6*(1*sqrt(64) - sqrt(64)) - sqrt(64) - sqrt(64)) + sqrt(64)).\nAnswer: -27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2*(28\/4 - -1) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 7. Let j be u(1). Suppose -42 = -4*q - 10. Suppose -8*c - q = -0*c. Sort -2, c, 5, j.\nAnswer: -2, c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -11*f**5\/5 - 3*f**4\/4 - 7*f**3\/3 + f**2 - 13*f - 14596. What is the second derivative of h(k) wrt k?\nAnswer: -132*k**2 - 18*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23076036 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 15 - 25 = -4*i, -688 = i - 3*s - 724 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353 is divided by 1404.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3064.3083 + -3016.3083069. Let m = -48 + g. What is m rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180936*g**4 - 7565*g**2 - 6*g.\nAnswer: -4342464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*z**6 - 45261*z**3 - 1982*z**2 - 2509*z.\nAnswer: 18120*z**3 - 271566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124.7 + 6.3. Let c = x - 137.9. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -6 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*b - 52 = 0, 0*b + 42 = 2*x - b. Let n(z) = -20 + 11*z - 18*z - 6 + 5*z. Let i be n(-14). Solve -i*w = 4*c - 16, w + 3*w - 5*c = -x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7083804 divided by -499.\nAnswer: -14196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43007439 and 1971.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**12\/m**(-2\/25))\/(m**3)**(-38))**50 assuming m is positive.\nAnswer: m**6304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5984025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(((-120)\/(-936))\/((-15)\/(-6)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tetpwef. What is prob of picking 1 p, 1 w, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 23 = 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 7. Let s be w(8). Let v be (-1)\/(2 + s)*-3. What is the first derivative of -u**2 + 2 + v - 4 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 6*a - 24. Let o(p) = 7*p - a*p + 7*p - 5*p**2 - 2*p + 7 - p**3. Determine o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3748018 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -20)\/(5\/2). Put -23, c, 5 in increasing order.\nAnswer: -23, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305\/22 - 29\/11. Let c = 1\/5238 - 153214\/13095. Calculate the common denominator of g and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 41*w + 19. Let s(m) = 1. Let a(k) = -g(k) - 5*s(k). Differentiate a(y) wrt y.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/7 (b) -5 (c) 5\/2 (d) -3.7 (e) 4 (f) 6707\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27242?\nAnswer: 2, 53, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -35*y**2. Let w(m) = -27*m**2 + 12*m. Let x(g) = 1081*g**2 - 483*g. Let p(d) = -161*w(d) - 4*x(d). What is a(p(s))?\nAnswer: -18515*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 2. Let w(f) = -5*f - 2. Let i(h) = -5*w(h) - 4*y(h). Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39427585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 - -158?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 7, -20, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 699*v**2 + 543*v**2 - 1121*v**2 - 6*v**2 + 2*v**2 + 2*v**2 + (-v + 2*v + v)*(1 - 1 + 2*v) + 11*v**2 - 7*v**2 - 33*v**2 to a*v**2 + w*v + y and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110215535 (base 6) in base 4?\nAnswer: -13202311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)*68\/(-6). Solve -3*s = -5*i - t, -2*i - 4 = -s + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49139*l**3 - 24444*l**3 - 24561*l**3.\nAnswer: 134*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3955 and 131\/1050.\nAnswer: 118650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 59*c**2 - 3*c - 3. Let m(p) = -26*p - 532*p**2 - 22*p**3 - 13 - 32*p**3 - 10*p**3 + 20*p**3 - 13. Let i(v) = 52*b(v) - 6*m(v). Factor i(x).\nAnswer: 4*x**2*(x + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/20 - 33\/20. What is the third biggest value in -3, 3, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507579266 divided by -158.\nAnswer: -3212527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(448) + 0.\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 8*q**3 - 36*q - 94*q**2 + 94*q**2 + 3 as c + b*q**3 + m*q**2 + k*q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1717 - -10026. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 4, y: 5, j: 2, z: 1, n: 7}. Give prob of sequence jn.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6540066382 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 721 + -714. Suppose u*z - 3*z + 218480000 = 0. Round z to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572422 divided by 157\nAnswer: 3646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18216 divided by -2?\nAnswer: 9108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 3)*(-11)\/44. Do 2\/3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 13. Suppose w = -5*l + 41, -7 + 21 = 2*l - 2*w. Let j(i) = -2*i - 20. Let q(m) = l*n(m) + 5*j(m). Differentiate q(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 9720 = 650. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 23346*a - 887139. Give j(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26212606 to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + 0 - (-40)\/(-16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 6. Let s(v) = v**2 + 2*v. What is the units digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*t - 31, t + 2*t = 15. Let n(w) = -w**3 - 6*w**2 + 3*w + 9. What is the remainder when n(-7) is divided by (12 + 1)*(4 - m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0105 + 0.4895. Let j = -0.019 - 0.441. Let y = 0.06 + j. What is the second smallest value in 1\/4, y, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 595*w**3 - 16 - 451*w**3 + 60 - 19.\nAnswer: -1046*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136536 - 235062 = -5434*h - 45558 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008537 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 13) + (-5)\/700*5\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5779*j - 130*j - 2906*j + 841*j to a*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/17562165 and -34\/135?\nAnswer: 158059485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/582 and 21\/1341607.\nAnswer: 8049642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150993 divided by -3.\nAnswer: 50331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.8151861 microseconds in weeks?\nAnswer: 0.00000000023448278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33110313 + -2220?\nAnswer: -33113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 + 10 = -4*v, 0 = -4*x - v + 17. Let m(o) be the second derivative of -1\/3*o**3 - 5*o + 1\/2*o**2 + 1\/12*o**x + 0. Suppose m(s) = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420 - -3851. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*d - 0*d. Let x = 34\/35 - 1223\/70. Calculate the common denominator of x and 98\/(-26) - (-17 + d).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18) - ((-28567)\/(-264))\/(-53)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2) + 0 + (-66)\/24\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 34*y - 15834. Suppose 2*t + x = 406, 3*t - 5*x = -2*x + y. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/(6\/(-24))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82538039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 + 383. Suppose -5*n = -43*n + f. Suppose 0 = 3*g - 2*l - 13 - 33, -2*l - 78 = -5*g. Calculate the highest common divisor of g and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46601595 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123048375?\nAnswer: 3, 5, 328129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:23 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56299 and -573?\nAnswer: 56872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 17\/((-85)\/(-6105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(2\/(-4)). Let a = 0 + w. Let i = a + 15. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -144, -4 in descending order.\nAnswer: 42, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -15) + -15 - (-8 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*i = -22, -1 = 3*c - i + 9. Sort c, 4, -13 in decreasing order.\nAnswer: 4, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -6. Let z(k) = 8*k**2 - k - 7. Let l be z(5). Suppose u*d - d = l. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 155*g = 154*g - 3, -4*d + 9 = -3*g. Solve 25 = -5*k - d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7 - 67*s**2 - 8*s + 6*s - 2*s**3 + 3*s**3 + 44*s**2 + 44. What is o(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 10501?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - -71?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times 0.36?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/1460 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.705 - -35.217. Let m = -8 - 32. Let q = d + m. What is q rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9395332771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = -92. What is the remainder when o is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.8037 centuries to years.\nAnswer: 25580.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(25) - sqrt(100)) + sqrt(75)\/(sqrt(15)\/sqrt(5)))\/(((sqrt(360) + 2*sqrt(360))\/sqrt(12) - sqrt(30))\/sqrt(6)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/432 and -43\/672?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 50437?\nAnswer: -50443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7898 and 121?\nAnswer: 86878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30 - (2\/2 + 1). Suppose m + 3*m = 5*h + i, 3*m + h - 2 = 0. Suppose -4*z = -m*q - 138, -2*z = z + q - 116. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/(-5)*(1 + (-32)\/20). Let z be (-15)\/9*w\/(-5). Let y be z\/(-8)*544\/(-51). Solve -y = 3*n + 2*o, 2*n = 5*o + 4 - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + k + 9. Let f(l) = l**2 + 2. What is -9*f(y) + 2*x(y)?\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**2 - 7 + 14*v - 10*v**2 + 9. What is c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/16 and -19\/293024.\nAnswer: 293024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 + 187156127*p**3*u**3 + 98765*p**2*u**3 - 503*p**2*u**2 wrt p.\nAnswer: -24*p + 1122936762*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40110*q + 3 - 2*q**2 - 3 + 40110*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 0.23. Put -5, v, 0.4 in ascending order.\nAnswer: -5, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = 4. Suppose -l - 6 = -6*y. Suppose y*k + 50 = 7*k. What is the highest common factor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4624.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 1031. Let l(g) = g - 286. Let i(z) = -22*l(z) + 6*p(z). Calculate i(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus -0.05856?\nAnswer: -12.94144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 353503350.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 48 = -5*m. List the prime factors of (630\/75)\/(1\/5) + m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1040344, 4160993, 9361946, 16643203?\n\"Answer: 1040152*n**2 + 193*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -131778*w**3 + 12*w**4 - 2*w**2 + 2*w**2 - w - 3*w**2 + 131780*w**3 in the form l*w + g*w**2 + i + y*w**3 + t*w**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:15 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 1 = 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*m**2*o**3 - 38*m**2*o + 4*m**2 - 2112*m*o**3 + m*o**2 - 30*o - 5 wrt o.\nAnswer: -546*m**2 - 12672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -112, -2\/19, -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*h = 428*h - 180. Let k(w) = 3*w**2 + 9*w + 12. What is the least common multiple of k(-5) and h?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t + 3*m + 134, -5*m = -3*t + 191. Which is greater: 0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -88, -3\/23, -4\/25, -0.3?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228.8 + -229. Which is the second smallest value? (a) 2\/3 (b) 30 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 102\/(-24)) + 1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 29*y + 4*h + 84 = 0, 53 = -3*y + 2*h. Sort 0, y, 2 in increasing order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/21 (b) -0.2 (c) -1 (d) -8 (e) -0.3 (f) -4.2 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-7))\/(4\/392). Let v be ((-25000)\/6)\/(14\/j). What is v rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 1\/8*r**4 - 1\/60*r**5 + 13*r**2 + 40\/3*r**3 + 0 + 0*r. Let u be m(0). Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 970.222 millilitres?\nAnswer: 0.970222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 489971 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 4*r**5\/5 + 3*r**4 + 4*r**3\/3 - 6*r**2 - 8*r - 1. Solve f(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - -5) - -34\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 41, 0, 2\/13, 1.\nAnswer: -1, 0, 2\/13, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17705.\nAnswer: 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (270\/12)\/((-9)\/(-12)). Suppose l = 4*l - x. Find the second derivative of 6*p**5 + l*p - 14*p - 6*p + 3*p**5 wrt p.\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*t - 16, y - 20 = -4*y. Suppose -v - 14 = -h, -5*v + 0 = -h - t. Calculate the remainder when h is divided by (10\/6)\/(1\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350 - 395) + (-20 - -4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43986, -44059, -44216, -44499, -44950, -45611, -46524, -47731?\nAnswer: -49274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11984 a factor of 2362675459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + c + 9 = 16, 3*c = 5*a - 21. Solve -v - 9 = 3*o, -3 = 2*o + v + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*g - 13, -2*p = p - 3*g - 3. Is (2\/1)\/p*-19 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -818, -612, -404, -194, 18?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 + 2*b + 5. Let t be g(-5). Let n be 3 - 2*(-69)\/(-42). Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27431 by 3.\nAnswer: 27431\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3871386ml in litres?\nAnswer: 0.0003871386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 5. Let f be h(-5). Suppose f*w + 36 = -a + 2*w, 0 = 3*w - 3. Let x = a + 65. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20655620 is divided by 1677?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0887 - -0.3113. Let n = -7 + 7.02. Let o = 12 + -12.5. What is the nearest to n in d, o, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l**2 - l)*(-3*l**3 + 7*l**3 + 6*l**3) - l**5 + l**5 - l**5.\nAnswer: -31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5372557389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 22*t - 73. Let f be q(-25). Let l(a) be the first derivative of a**2\/2 - 43. Let c(i) = -i**3. Calculate f*l(u) - 4*c(u).\nAnswer: 4*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 36\/1003175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2240*v**2 + 6*v - 6. Let b(z) = -6721*z**2 + 18*z - 17. Let t(c) = 4*b(c) - 11*k(c). Let p be t(-7). Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7835766 or 7835767?\nAnswer: 7835766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/2)\/(6\/(-356)). Let j be 13\/26 + b\/(-4). What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 0*j**2 - 2*j**2 + 15*j - 3*j + 14*j. Let o be t(26). Let m = -6 + 14. Solve -3*u + m*u = o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2. Let g(c) be the first derivative of -2*c**3\/3 - 4*c + 142. Calculate g(k(d)).\nAnswer: -8*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743785?\nAnswer: 5, 47, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22*y + 23*y - 15 = 0, 5*b + 10 = 2*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 44*k + 28. Put k, 1\/3, 0.3, 14 in decreasing order.\nAnswer: 14, 1\/3, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/((z*z\/((z\/(z\/z**19)*z*z*z)\/z))\/z)))\/z))**(2\/3)*z\/((((z\/z**(-16))\/z)\/z)\/z)*z**(25\/3)\/z assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/40 + f**4\/6 + f**3\/6 - 28*f. Let t(p) be the second derivative of v(p). Calculate t(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -164*z**2 - 2*z**3 + 160*z**2 + 21 - 3*z**3 + 10*z. What is the tens digit of q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009986720817 to 5 decimal places.\nAnswer: 0.00999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/12480823?\nAnswer: 15\/12480823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -689 + -793?\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -185\/551?\nAnswer: -185\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39306673 to the nearest integer?\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9677 is divided by 291.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036738704 rounded to six dps?\nAnswer: -0.003674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4483 or -2\/9?\nAnswer: -4483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -590\/3, -0.001, -2\/39, -24?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5412 = 20*t - 5868. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g**3*q**2 + 32*g**3 + 144*q**2 with respect to g.\nAnswer: 45*g**2*q**2 + 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*z**2 + 0*z**3 - 24*z**2 - 73*z**2 - 2*z**3 - 33*z**2.\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 1, d: 4, v: 12}. Give prob of picking 2 d and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(42\/(-28))*41. Suppose i = 19*q - 16. Solve 3 = -6*p - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/3 + 8. Let s(z) = z - z - o*z - 1 + 4*z. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 11) to base 14.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11507*r - 4579788. Calculate f(-398).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -141. Put -0.1, c, 3, 4\/5 in descending order.\nAnswer: 3, 4\/5, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(-9) + (-6)\/(-27). Let v be (-5 + (-16)\/(-4))\/1. Let z be 24\/4 + -5 + (-2)\/v. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 2, n: 3}. Give prob of picking 3 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + 2 - (sqrt(35)\/sqrt(5) + -2))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 24*s. Let m be c(17). Let z = -173 + m. Sort z, 0, 7 in ascending order.\nAnswer: z, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -433, -979, -1743, -2725, -3925?\nAnswer: -5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 = -t + 6*t - s, 2*t - 4*s = -436. What is t rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77908033622 less than -0.17?\nAnswer: 0.60908033622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 7 in descending order.\nAnswer: 7, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:33 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 7*l**2 + 3*l + 14. Determine s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 10*s + 16*s**2 + 36 - 6*s + 19*s + 19*s.\nAnswer: 2*(s + 2)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11471\/3020 + 1\/604. Find the common denominator of p and 52\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 7. Let y be u(-3). Let q be -3 - (y - -10)\/(-2). Suppose q*p - 3*p + 216 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 67 + 0)*(-2*r + r + 0*r + (-2 + 2 + r)*(5 - 4 - 2)) to the form m*r + z and give m.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -21. Let s = 118 - 73. Suppose p - 4*p + s = 0. Solve k = 5*g - 0*g + b, p = 5*k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430.04 rounded to the nearest 10?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 10. Suppose 0 = 2*s + j*d - 70, -4*s + 5*s + 2*d = 36. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26 and -473.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 36. Let f be c(18). Let v = 13 - -7. Suppose f = 3*b + b - v. Solve -6*a - 7 = -b*u - 3*a, 3*u + 5*a - 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.2 + -51. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684209 times -0.4?\nAnswer: 273683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-75)\/10. Let m(z) = 5*z + 1. Let j be m(v). Suppose 0 = -o + j + 10. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + sqrt(140)*1 + sqrt(140) + sqrt(140) + sqrt(140))\/sqrt(10))\/sqrt(2)*-2)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64 - -3a?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -18 - (-4 - (-3 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.044 to 1 decimal place.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/13 + -16\/39. Let k = -224.4 + 223.9. What is the nearest to -0.2 in k, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - 3)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -17. Let j = -9 + z. What is the nearest to j in -0.2, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.28547 decades to months.\nAnswer: 7474.2564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:12 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95, -53, -11, 31?\n\"Answer: 42*t - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/3 - -5. Let f(b) be the third derivative of -r*b**3 - 1\/12*b**4 + 0 + 3*b**2 + 0*b. Differentiate f(v) with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 29. Suppose 23 = 3*c - 3*i - x, c = -i + 18. Let j = 24 - c. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1503631 and 33439?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/17452006 and -93\/367004.\nAnswer: 663176228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 153. Let y be p(0). Let z be 10976\/72 - (-20)\/(-45). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0223502 and -0.014.\nAnswer: -0.0003129028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1793, -3564, -5335, -7106, -8877?\nAnswer: -10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 1 + 5 - 8 + 0 in the form t + c*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122130082 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(99)\/sqrt(3))\/sqrt(3).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*r**4 + (0*r**2 + 3*r**2 + 0*r**2)*(2*r**2 + 0*r**2 + 0*r**2) - 10*r**4 + 62*r**4 - 6*r - 2*r**4.\nAnswer: 54*r**4 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -4 (c) -293.8 (d) 0.79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 1, t: 7}. Give prob of picking 1 a and 3 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -1 + 0 - (2 + sqrt(77)\/sqrt(7) + -5).\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6 = -2*h, -5*n + 4*h - 2 = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28848227, 28848225, 28848223, 28848221, 28848219?\nAnswer: 28848217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -927442 + 473123 + 463647 - 10676*s wrt s.\nAnswer: -10676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6007*g**2 - 3584*g**2 + 3651*g**2 + 1459*g**2 + 5128*g**2 to v + x*g**2 + j*g and give x.\nAnswer: 12661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 2*h**2 + 0*h**2 + (4 - 4 - h)*(2*h - h - 2*h) - h**2 + 4*h**2 - 2*h**2 + (-4 + 4 - 3*h)*(h + h + h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366 and 8655.\nAnswer: 1055910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22950.95 rounded to the nearest ten?\nAnswer: -22950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110142636.\nAnswer: 2, 3, 37, 359, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 k, and 1 p when four letters picked without replacement from {k: 2, p: 2, b: 2, o: 6}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 17*c - 113. Let d be j(-9). Solve -6*o - 232 = -d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + (1*(sqrt(192) - (sqrt(192) + 3)) - sqrt(192)))*5 + 0)**2.\nAnswer: 320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 5:45 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77051, 77049, 77047, 77045, 77043?\n\"Answer: -2*b + 77053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 6. Let a = 18 - s. What is the units digit of (-18)\/(-8) - (-9)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -4 - (-16)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u + 628 = -13*u + 14*u - 1220 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/15 + 12\/9. Suppose 0 = 5*m - 4*k - 118, 14 = m - 5*k + r. 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 47000 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141756011?\nAnswer: 141756011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 1. Determine z(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2933*q - 332. List the prime factors of k(2).\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/3 + 239*y**2\/3 - 4720*y - 4800 = 0. What is y?\nAnswer: -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/15 + (-1 - (-1)\/5). Let b = k + 142\/45. Suppose -5*v = 1 + 9. Put -2\/9, b, v in descending order.\nAnswer: -2\/9, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, i: 4}. What is prob of sequence wii?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 2*v - 60.\nAnswer: 2*(v - 6)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51555, 103113, 154679, 206253, 257835?\n\"Answer: 4*p**2 + 51546*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2052034*z - 2052004*z - 398 = 322 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185973.\nAnswer: 3, 61991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8, 0 = -3*c + 5*h + 6 + 7. Suppose 4*s = -6*m + 2*m + 4, -m + c = -4*s. Let f be 3 + (m - 3)\/1. Put f, 6, 1 in ascending order.\nAnswer: 1, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100 and -160?\nAnswer: -16000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 237, 477, 699, 897, 1065, 1197?\n\"Answer: -g**3 - 3*g**2 + 256*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 6*b**2 + 10*b + 6. Let k be y(-2). Suppose -k*z + z + 1 = 2*c, 0 = 5*c - 3*z - 19. Put c, 1, 51, -1 in descending order.\nAnswer: 51, c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1496 - 1003. Let m be (-58)\/b*4\/(-136). Do 1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 119?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)\/sqrt(6)*-5 + -4)*-4)**2 + -4)*1.\nAnswer: 640*sqrt(17) + 7052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/120 - q**4\/72 + q**3\/36 + q**2\/12 + q. Suppose x(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3727864 by -4.\nAnswer: -931966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6 - 4*h**2 - 13*h + 0*h**2 - h**2. Let w(n) = 9*n**2 + 25*n - 13. Let k(a) = -11*t(a) - 6*w(a). What is the tens digit of k(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 62. Let b = 31 + w. Suppose b*y + 3*o = 5*y - 615, -y = o - 131. Calculate the greatest common factor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 + 0 - 6*f + 5*f**2 - 3. Let o be q(-5). Suppose -4*h - g = 1 - o, -4*g - 8 = 4*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*-1*(63\/(-28))\/((-14)\/(-3))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 556*i**2 + 6175800*i.\nAnswer: -4*i*(i - 1314)*(i + 1175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from jswkg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a21 (base 15) in base 14?\nAnswer: b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000007 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22363531, -44727078, -67090625, -89454172, -111817719?\n\"Answer: -22363547*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11019 + 3?\nAnswer: -11016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3066 + 15b3?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -59, -79, -99, -119, -139?\n\"Answer: -20*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4 = 4*a. Let f(k) = 8*k**2 - 3*k - 2. Let i be f(a). Suppose i*s = -s + 1360. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120467800.\nAnswer: 2, 5, 151, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-5 - 0 - -3). Suppose c = d*c - 8. Solve -c = 4*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1513.\nAnswer: 1\/1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/30 - u**4\/4 - u**3\/6 + 16*u**2. Let w be (-24)\/3*(-1)\/(-2). Let t(h) = h**2 - h. Calculate w*t(r) + x(r).\nAnswer: -2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 3*w + w)*(-5*w**3 + 3*w**3 + 122*w**3) as j*w**2 + y*w + c*w**3 + a + u*w**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -50. Does 4 divide (-363)\/(-6) + 2\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*x + 5*x**2 - 2 + 2*x**3 + 2*x - 21*x to v*x**3 + b*x**2 + u + n*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114322 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 4456998211685 and -0.043.\nAnswer: 4456998211684.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371763067 to the nearest integer?\nAnswer: 19281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 3*y**2 + 12*y - 28. Let r be n(2). Solve 0 = -3*c + 4*c - 2*z - 1, -z + 2 = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:12 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-520)\/6 - 1)\/((-24)\/72). Suppose 8*c = -23 + j. What is the lowest common multiple of c and 165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 4. What is w(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5 - 20)*(-26*k - 7 - 5 + 25*k)*(-3*k + 5*k + 0*k) + (-4*k - 2*k**2 + 4*k)*(0 + 4 - 2 + (-1 + 0 + 0)*(-1 + 1 - 2)) to s*k + h*k**2 + p and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-10))\/(11\/(220\/(-10)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1347 = 3*g, -644 = -2*g - y + 260. What is the remainder when g is divided by 162?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (-157)\/((-14287)\/5824)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w + w + 9*w + 83*w + 89*w.\nAnswer: 204*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/431 (b) 2\/5 (c) 189.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7644 - -23226. What are the prime factors of c?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 5*p**3 + 9 + 14 + 16 + 2*p**2 - 38 - 4*p**4 as f*p**4 + n*p**3 + q*p + y + u*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwx when three letters picked without replacement from wxwxw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 17*w**7\/105 + w**6\/20 + w**5\/30 - 1343*w**4\/24 + w**3\/2 + 23*w**2. What is the third derivative of m(z) wrt z?\nAnswer: 816*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9688\/882 + 2\/126.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150936778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/7 + 90003*s**2\/7 + 96915351*s + 50375558025\/7.\nAnswer: 3*(s + 75)*(s + 14963)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let w be -14*(-1 + (-1)\/(-2)). Let u be 5 - 9\/((-6)\/(-2)). Solve -m*q - 3*j = -0*q, -u*j - w = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3170*x**3 - x + 14 - 3170*x**3 + 158*x**4 wrt x.\nAnswer: 1896*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7425 and 2079.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*n - 4 = 0, -b + 3*b = -3*n - 3. Suppose 4*x - 3*w - 8 = 0, b = 4*x - x + 4*w - 6. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1500 and 21.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -4*s, 4*j + 5*s + 16 = 0. Let i(v) = 2*v**3 + v**2 - 1. Let m be i(j). Let h(l) = -1 + 2 - 2. Let c(z) = 3*z + 1. What is m*h(a) + c(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3384, -5464, -7544?\n\"Answer: -2080*l - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -27. Which is the second smallest value? (a) -1\/11 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrdrrjzrdrjczzjzjzj. What is prob of picking 2 d and 1 z?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1120)\/504*(-9)\/(-6)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0\/g)\/g**(6\/11))\/(g**(-3)\/g)**(13\/6))**(1\/4) assuming g is positive.\nAnswer: g**(235\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6958 + 1476. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85953, -171717, -257481, -343245, -429009, -514773?\nAnswer: -600537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2 + (0 - 26\/14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -13*h - 15. Let c be h*2\/6 - -1. Solve -c*g = 4*q + 4, g + 5 = -g - 3*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14036.8873 + -234\nAnswer: 13802.8873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32564 - 4233 = -691*p for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 6. Let i be o(9). Let l be (-2)\/(-8) + 17\/(-4). Let k be l\/14 - (-384)\/21. What is the highest common factor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-615*d**2 + 128545 - 128545)*(-d - 2 + 3 + 0*d) to h*d**3 + g*d + t*d**2 + s and give h.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17906*l**2 - 2*l**3 - 2*l**3 - 17911*l**2 + 7*l**3.\nAnswer: 3*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -2*v**3 - 1\/24*v**4 + 0*v - 2*v**2 + 3 + 1\/60*v**5. Let p(y) be the second derivative of x(y). Determine p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7)*(2*i**3 + 0*i**3 - 3*i**3).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/9, 198548.\nAnswer: -2\/9, 2\/9, 198548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 4*a + 3. Let n be d(-2). Suppose 0*x = 5*x - 25. Find the second derivative of 18*u**5 + 5*u - 13*u**x - n*u wrt u.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4418, -4411, -4398, -4379, -4354, -4323?\n\"Answer: 3*p**2 - 2*p - 4419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281439949?\nAnswer: 7, 41, 79, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/120 + r**5\/80 + r**4\/48 - r**3\/24 + 11*r. Factor c(f).\nAnswer: -f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, -1, 16, 1, -778 in ascending order.\nAnswer: -778, -48, -3, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195157 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**3*r**3 + 510360*l**3 - 31*l*r**3 - 1266*l + 46*r**3 + 2*r**2 - 2*r - 1 wrt l?\nAnswer: -66*l*r**3 + 3062160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/66)\/((-2)\/24)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**7\/1785 + b**6\/255 - 2*b**5\/255 + 71*b**2\/2 + 3*b + 8. Let w(r) be the first derivative of h(r). Factor w(n).\nAnswer: -2*n**2*(n - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128159\/4 + -32039. Let n = -0.4 + 0.9. What is the closest to 6 in w, n, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/30 - 5*v**4\/12 - 3*v**3\/2 + 91*v**2. Determine n(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5)*1 + (sqrt(60)\/sqrt(3))\/sqrt(4) - (5 + 1 + -1*sqrt(20)\/sqrt(4) + sqrt(5)))**2.\nAnswer: -24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -14*p + 17*p - 910, -20 = 5*f. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 31*w - 9*w - 5*w - 13*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1) + (-16)\/(-80)*10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20053 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - -7 - (1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/720 + a**4\/24 - 2*a**2. Let t(v) be the second derivative of r(v). Let k(f) = 2*f. Give t(k(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2432*r**2 + 403*r**2 + 98*r**2)*(5 - 3 - 1).\nAnswer: -1931*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -752 - -508. Is u\/(-5) + (-4)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 23. Let x = 24 - r. Let m(o) = -48*o + 2. Does 25 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*l + 363*l - 13*l - 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-97820)\/2412)\/(1\/(-9)). Solve 4 = 41*x - o for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2927942, -2927940, -2927936, -2927930, -2927922, -2927912?\nAnswer: -2927900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140660664 + 12?\nAnswer: 140661006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 11, 70, 159, 284, 451, 666, 935?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 3. Suppose -13 + 28 = 5*m. Give u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13403774 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 7 + -16 - (-1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + x + 1384 = 0, 165 - 1561 = -4*p + 4*x. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006800426 to four dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21474161\/5664 - 187\/5664. Let v = w - -3786. Calculate the common denominator of v and 69\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4.5. Let m = i + 0.3. Let v = -5.07 - -0.07. Which is the nearest to 0? (a) m (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 3231.\nAnswer: 3231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0 - 1\/8*y**4 - 5*y**2 - 1\/30*y**5 + 0*y - 1\/6*y**3. Suppose c(v) = 0. What is v?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5, -y - 2624 + 2608 = -4*r. Let q be -3*(7\/9 - 1). Determine b so that -6*b - y*b**2 - q*b**3 - 8\/3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2652 is divided by 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1831950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 16) + (5 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -5*n**9\/432 + 5*n**8\/336 + n**7\/84 - 3*n**3\/2 - 15*n**2. Let t(p) be the first derivative of h(p). Factor t(j).\nAnswer: -5*j**3*(j - 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4 - 14. Suppose -m*o + 6 - 2 = 0. Suppose -3*p = -2*v - o*v - 53, -3*v = 3*p - 18. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - 1.9. Let y = -0.8 - b. Put y, 0, 6\/11 in ascending order.\nAnswer: 0, 6\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7174621*k + 2 + 5 + 7174291*k to a*k + l and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78631860?\nAnswer: 2, 3, 5, 53, 79, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 23*a + 35. Suppose -2*v - 23 = g, 2*v + 16 + 1 = g. Let b be p(v). Let o be (0\/(b + -10))\/(-1). Solve -5*n - 1 - 9 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1906*s + 1417*s - 1085*s as w + a*s and give a.\nAnswer: 2238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/11)*s*s**(-1\/4))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2 - -2)\/((-3)\/12). Let t(x) = -3*x**2 + 4*x - 3. What is t(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55857, -53385, -50913?\n\"Answer: 2472*w - 58329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 2:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 848818.28 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -46295519?\nAnswer: 92591038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24248 + 54952. What is o rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67597*x + 112638.\nAnswer: -67597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3469 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49*5937*1 + (11 - 8). Suppose -k + f = -415084. What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - a**2 + 2*a + 3. Let j be z(-3). Suppose 0 = -2*b - 3*h - j, 3 = -h - 2. Which is smaller: 2\/165 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 at least as big as 2429\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1246 - -10?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/772980 and -59\/850278.\nAnswer: 8502780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 14*t**2 - 21*t - 22. Let l be b(10). Let u = -40 + 64. Calculate the greatest common factor of u and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(-3 + 5). Solve -l*i + 11 = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 + -160?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84827, 84846, 84891, 84974, 85107, 85302, 85571?\nAnswer: 85926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5460 (base 8) to base 5\nAnswer: 42424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*1*1*(-5)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*sqrt(153)*2)**2 + (4 + sqrt(153)*2 + sqrt(153))**2 + sqrt(153) + (1*sqrt(153))**2*4 + sqrt(153) + (sqrt(153) + 0)**2 + -4.\nAnswer: 78*sqrt(17) + 11949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578.2975 milligrams to grams.\nAnswer: 0.5782975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*2*(-5)\/20. Solve -m + 2*m + 24 = -5*z, 0 = u*z + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 164.14. Let m = k + 5.16. Let y = -0.02 + m. Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -239 + 194 + (0 - (0 + 0))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -40, -143, -1778 in decreasing order.\nAnswer: 4, -40, -143, -1778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = g + 2*m, -3*g - 2*m = -3*m - 85. Let r = g + 1. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (8 - 2166\/270). Which is the third smallest value? (a) v (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, u: 1, o: 1, z: 2, h: 2, c: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 5 (b) 375 (c) 1\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:49 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12149 + 303. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 10 + 0*j**4 + 0*j + 0*j**3 - 1\/60*j**5 + j**2. Calculate g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -26 (b) 0 (c) -2\/5 (d) 5 (e) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-4)\/24)\/((-7592)\/(-2145) - 1062\/295).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q - 8. Let w be b(7). What is the remainder when 18 is divided by w\/(-7) - 4\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 10244?\nAnswer: 10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24738 and 51870.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 4)*(2858664 - 2042*j**4 - 2858664) in the form b*j + l*j**3 + n*j**2 + u*j**4 + a and give u.\nAnswer: -4084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 + -47\nAnswer: -47.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -4 + (37 - (26 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*o - 5, 5*o + 4*v + 22 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/3 + -8. What is the nearest to -0.1 in -1, d, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.62 and 0.15?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 - 0. Let u be (0 - c)\/6 - 2. Are -2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 4*a**3 - 24*a**2 - 27*a**2 - 27*a**2 + 107*a**2.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 499217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 10. Let f be r(3). Let h(x) = -3*x**3 - x. Let o be h(-1). Let p(y) = 3*y + 4. Let i be p(-3). Put f, o, i in increasing order.\nAnswer: i, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327556 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:28 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 + 3*t + 8. What is the lowest common multiple of 30 and k(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -77, -61, -37, -5, 35, 83, 139?\n\"Answer: 4*r**2 + 4*r - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q. Let x(g) = -g. Let d(a) = -2*m(a) - 18*x(a). Let f(c) = -5*c. Let k(r) = -3*d(r) + 2*f(r). Let o(z) = 7*z. Calculate o(k(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6027\/1435*30\/21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19869, 19911, 19963, 20031, 20121, 20239?\nAnswer: 20391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17. Let s = 0.000035 + t. What is s rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbdbwfbkfkwd. What is prob of picking 1 f, 1 b, 1 k, and 1 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/90)\/(11\/(-33)). Put -47, 3, t, -3\/4 in decreasing order.\nAnswer: 3, t, -3\/4, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 12*z**2 + 15*z - 11. Let t = -335 + 345. Is b(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1967478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = z. Suppose -5*j + 10 = -9*m + 8*m, 0 = -5*m + 3*j - 72. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 0*v**2 + 1374 - v - 1271 to the form b*v + n + r*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 8*n - 8. Suppose -w + g - 19 = -24, 18 = 2*w + 2*g. Calculate d(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -27*u + 15*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 19*t**2 - 6*t - 28. Let i be y(18). Calculate the common denominator of -3 + (-12)\/(-3) - i\/(-64) and -29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -102, -172, -254, -348, -454, -572?\n\"Answer: -6*p**2 - 40*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-20) - (-6)\/15. Sort -2, 74, c in decreasing order.\nAnswer: 74, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/52 and 95\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20 + 16 + 17*n**3 - 27*n - 36 wrt n?\nAnswer: 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -33. Which is smaller: r or -62?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(11\/5)\/(l\/((l*l**(7\/5)*l)\/l)) assuming l is positive.\nAnswer: l**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 42 + 2. What are the prime factors of ((-60)\/o)\/((-1)\/(-2))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8220599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 378190*x**2 + 378192*x - 1. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o - 6. Let b be a(1). Suppose 4*g - 16 = b. Let s(x) = x**3 - x**2 + 7*x - 5. What are the prime factors of s(g)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l - 5*l + 5*l + l + 2*l + 0 + 0 + 2*l - 3*l - l + (-1 + l + 1)*(1 - 2 + 0) + l + 2*l - 4*l - l + l - l)*(-l + 5 - 12 - 4).\nAnswer: 3*l**2 + 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*x = -373*x + 114*x - 10896 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/52 + -89\/260. Let r = 47.1 - -73.2. Let u = -120 + r. What is the biggest value in 3, u, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(175) - -4*1*sqrt(175))**2 + -1*sqrt(175)*4 + sqrt(175).\nAnswer: -15*sqrt(7) + 4376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 0 + -3 - (71 - 641) is divided by 186?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32057*f - 12903 with respect to f.\nAnswer: 32057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35328*d + 11774*d + 11775*d + 11772*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1. Let r(g) = 2*g + 7. Determine -4*c(l) + r(l).\nAnswer: 2*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, -43, -1, 0, -42 in ascending order.\nAnswer: -43, -42, -1, 0, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.148104788 rounded to three decimal places?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -998476721.\nAnswer: -998476703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -54295.2573 to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 27 (c) 135\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*v + 6033 = 5836, 3*z - 4*v = v + 90 + 83 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78585.11 grams to tonnes.\nAnswer: 0.07858511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -181451.1 rounded to the nearest one thousand?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2. Let w(k) = -k - 13120. What is w(b(y))?\nAnswer: -5*y**2 - 13120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80784 (base 12) to base 8.\nAnswer: -506124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**5\/5 + 97*q**4 + 390*q**3 + 586*q**2 + 391*q + 2523. Factor t(h).\nAnswer: -(h - 391)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:45 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 497316\/105*(-13)\/(-52). Let c = 1184 - f. Calculate the common denominator of -58\/55 and c.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 12, 39*d = -3*t + 40*d + 63. Let b(p) = p**2 - 10*p + 13. Let i be b(9). Solve -t = -i*s - s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 8 - 5)*(-3*m + 6*m - 5*m)*(-5 + 2 + 2) in the form n + l*m and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 2. Let i be z(0). Let q be 6\/i - (-58)\/18. Which is greater: q or -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 15775*h + 2282280 = 0.\nAnswer: 152, 3003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 192? (a) 5 (b) 6\/11 (c) 2\/11 (d) 519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + 94)\/((16\/12)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5.54, -15 in decreasing order.\nAnswer: 12, 5.54, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -v + 4, 4*v - 2*q - 16 = -4*q. Let i be 5*(-2 - -1)*-2. Suppose o - 4 = -2*y, -o - 3*y = -2*y - 3. Solve v*t - i = -o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (6 + -3 - 15)) + -1. Solve 3*r - c = 8*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*i*u**3*y**3 + i*u**2*y + i*u**2 - u**2*y**3 - 24*y**3 wrt u?\nAnswer: 744*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21554.5 - -21554.7. Let m = 0.98 - 1. What is the fourth smallest value in -5, 0.1, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-608)\/256 - (-3)\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-87)\/(-27) + (7 - 370246\/18). Round c to the nearest one hundred.\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34536762 divided by -234\nAnswer: -147593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i + 6*i + 1 - 1 to the form k*i + v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 2*y. Suppose 0 = -4*v + 7*v + y*i - 12, v = 5*i - 14. Sort -3, v, -1 in decreasing order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(13 + -12). Suppose f + f - 70 = a. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436*t**4 + 377.\nAnswer: 1744*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-5287)\/622)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 + 17300*y**3 + 3566945*y**2 + 130117900*y - 5088715500 = 0 for y.\nAnswer: -110, 23, 3657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8146\/17 + 478. Let r(q) = -2*q**2. Let s be r(1). Is s less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/6)\/((-70)\/28))\/1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101220201000001 (base 3) to base 14.\nAnswer: aadd26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-54) + 104\/18. Calculate the remainder when 101 is divided by q\/(-9) + 65\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154\/13 - 563\/26. Find the common denominator of 22\/3 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 3603*y**2 - 43380*y.\nAnswer: y*(y - 3615)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, h: 3, p: 5, o: 1, d: 1}. Give prob of picking 1 p, 1 g, and 1 h.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 720\/900 + 28\/10?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*7\/35)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 10. Put y, 1\/2, -3\/7 in ascending order.\nAnswer: -3\/7, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 - ((-129)\/38 - -2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4061 - -4733.6. Let a = 699 - u. Round a to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + 4*u - 7, 5*k = -u + 7. Let o be k\/(63324\/(-15832) + 4). Let d = o + -39543\/10. Calculate the common denominator of d and 67\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v**5 + 16*v**5 + 4*v**5 - 33*v**5 - 30*v**5 - 63*v**5 + (0*v**5 + 0*v**5 - v**5)*(1 - 2 - 1) - 2*v**5 + 0*v**5 + 3*v**5.\nAnswer: -94*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 418 = 38*p. Solve -12 - 6 = -p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171579280 rounded to the nearest one hundred thousand?\nAnswer: -171600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 215795513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 2663164?\nAnswer: -2663160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(-3 + sqrt(33)\/((sqrt(22)*-4)\/sqrt(2)) + (sqrt(300) + (2*sqrt(300))**2 - sqrt(300) - ((sqrt(6)\/sqrt(2) + sqrt(3))*-1 + sqrt(3)))).\nAnswer: -1202 - 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/14*7\/2. Suppose 0 = -3*a - 5*g + 1246, 0 = -2*a - 0*g - d*g + 824. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008773 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*f + 20 = -m, 0 = 4*m + 5*f - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/1985457 and 25\/6924?\nAnswer: 7941828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -10149711\nAnswer: -10149710.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19.212 times -0.46487\nAnswer: 8.93108244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a milligram in micrograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + w**2 - 6*w. Let l(h) = -2*h + 2*h**3 - h**2 + 18*h + 0*h**3 - 11*h. Calculate -5*l(c) - 4*u(c).\nAnswer: -2*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -41614667 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13396 = -3*r, -r = 2*s - 3*s - 4457. Suppose 2*b = -5*g + 1781, 5*b - 3*g + 6*g = r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -527277978 divided by 58586442?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 812021339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 22981*p**2 + 14*p - 164 - 7*p - p**3 - 22983*p**2 in the form q + g*p + r*p**3 + w*p**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6202598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 38. Let m be j(20). Let n be -2*m\/36 + (-50)\/(-36). Factor -n - 5\/2*z**2 + 4*z.\nAnswer: -(z - 1)*(5*z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3 - 13*o**2 + 5 as p*o + u + q*o**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91224451 is divided by 398360?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = x - 5*x. Suppose x*a = 2*j, -3*a + 1 = -3*j + 2*j. Suppose -j*i = 2*k - 100, 4*i = 6*k - k - 277. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/6, -0.4, 88, -12, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.3? (a) -697 (b) -104 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83218047 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -589533389.3517?\nAnswer: 589533390.3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1301928 divided by 162741.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one halves of a kilogram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6904821 divided by 3.\nAnswer: -2301607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(117) + 3)*-3)**2.\nAnswer: 108*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1719 divided by 3\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16ba4 - 6?\nAnswer: -16baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**37)\/q**4 assuming q is positive.\nAnswer: q**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -n + 21 - 20, -4*n = 5*g + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6734 + 6744. Is x not equal to 0.342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, -5, -3 in decreasing order.\nAnswer: 17, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -46*w + 38*w + 76, 0 = -4*w - 3*z + 56 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {e: 2, i: 1, b: 1, j: 1, l: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -36. Let f = 3 - -3. What is the least common multiple of (2 + t)\/1 - (7 - 93) and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 - n**3 + 0*n**3 + (-2 + 2 - 3*n)*(-522*n**2 + 81171 - 81171).\nAnswer: 1561*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0587 + -0.2587. Let w = -6.049 + -0.051. Let l = -1.1 - w. Which is the closest to 3\/2? (a) h (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*d - 2. Let n(r) = 4*r. Give n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2\/51 in decreasing order.\nAnswer: 2, 0, -2\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 939, 1874, 2809, 3744, 4679, 5614?\n\"Answer: 935*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 9 + 8 + 0 + 5 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70 + 2)*(-2 + -20)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -160, -239, -318, -397?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17822 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876638 is divided by 524.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240746211 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-83)\/33864)\/(11\/(-44)*2\/4)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 698*j - 1388.\nAnswer: -2*(j + 2)*(j + 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.06 (c) 0.13 (d) 0.38 (e) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + s)*(4*s**2 - 3*s**2 + s**2) - 2*s**2 - 5*s**3 + 2*s**2.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -85*r + 85*r - r**2. Let q(l) be the second derivative of -l**4\/12 - 8*l. What is x(q(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 52878955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57b2 - -1455?\nAnswer: -435b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000100010001 - -111011?\nAnswer: -10000000011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 85\/(-15))*6. Let y be 12*2*b\/(-24) - 0. Solve 2*m - 4*l - 8 = 0, 0 = m + 3*l - y*l - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from {d: 1, b: 2, p: 1, s: 3, h: 1, m: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -30*z**2 - 37*z**2 + 14*z**2 + 9*z**2 - 51*z**2. Let b(x) = -3*x. Calculate b(a(d)).\nAnswer: 285*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/24)\/(503\/32192).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*m = 7*o - 212, 2*o - 418 = -2*m. Let g be -2 + (o\/56 - (-4)\/14). Solve 3*p + 3*x = -6, 4 = -g*x + 6*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = 2*l, -l + 23 - 8 = 3*z. Suppose 134 = 2*y - 4*i, 4*y - 231 = l*i + 52. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -1\/80073 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 607983927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 496500*o**2 - 3*o - 9*o - 496521*o**2 as f*o + n*o**2 + w and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - l - 5, -2*l = 4*k - 14. Let a be 0\/(-1)*(8 - 56\/8). Solve -k*d + a*d - 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**9\/60480 - s**8\/6720 - s**7\/1260 + s**6\/144 - 4*s**5\/15 - 2*s**2. Let g(i) be the third derivative of z(i). Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z - 0. Let o(d) = d + 1. Let p be o(2). Suppose 0 = -3*k - 3*g + p, -5*k - 3 = g - 12. Solve -z*t + k = 3*u - 1, -3*u + 7 = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (7 + -4)) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b73 (base 12) in base 10?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 1.9. Let s = l - -1.9. Let j(c) = 2*c - 12. Let t be j(5). What is the nearest to t in 0.5, 3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37279699\/105 - 1064570\/3. Let o = -1234\/7 + f. Calculate the common denominator of 49\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375197 is divided by 1014?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*j + 8, 3*w - 2 = -j - 0. Suppose -4 = -0*s + w*s. Let d = s + 51. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3492838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 + 17*a**3\/3 - 2*a**2 - 82*a. What is the remainder when 39 is divided by r(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -856100 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 2*m**2 - 1\/24*m**4 + 0 + 0*m + 11\/6*m**3. Calculate the remainder when 21 is divided by f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 30) + 38 - ((3 - 1) + 34)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.6 + 8.8. Let v = p - -57.8. Which is the smallest value? (a) -2 (b) v (c) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 3, 0.2, 4, -2, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k - 80 = 0. Suppose -16 = -5*r + 9, -r + 95 = 3*s. What is the remainder when s is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 1330. Let l be m(0). What is the second derivative of -1330*j**2 - 2*j + l*j**2 - 25*j**4 wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/182376 and 5\/12.\nAnswer: 182376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/(-38)*3*2 - -14. Let s(h) = -5*h + 4. Calculate s(o).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 19 = -8*r - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1399, 5639, 12709, 22603, 35315, 50839?\n\"Answer: -n**3 + 1421*n**2 - 16*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1038 - -1040. Solve 4*f - b*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -220, -221, -224, -229, -236, -245?\n\"Answer: -g**2 + 4*g - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*235\/1316*(-42)\/(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 187569.\nAnswer: 2625966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007 minus 5662244436.77?\nAnswer: -5662244436.7693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 54*w**2 - 5*w + 5. Let s(i) = -53*i**2 + 4*i - 4. Determine 4*a(b) + 5*s(b).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -461800 rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 278 + 297. Let x be 8\/10*p\/(-10)*2. Suppose -28 = -8*f + x. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -182. Let c = -87 - j. Let o(d) = -3 - 5 + 5 + 4 + 3*d. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Suppose 30 = 9*w - 98 - 133. Let g(n) be the third derivative of 0 + 1\/5*n**5 + 0*n**4 + w*n**2 + 0*n + 0*n**3. Calculate g(b(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:09 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -15, -2\/21, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac - -3?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - -26. Calculate the common denominator of ((0 - -3) + 0)\/(10\/v) and 87\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 882*n**2 - 38847*n + 37962.\nAnswer: 3*(n - 38)*(n - 1)*(n + 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400*h**3 + h - 985.\nAnswer: 1200*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 7. Let u be (1\/3)\/(3\/m). Suppose -g + u = -3. Solve g*p - 9 = 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -5*q**4\/24 - q**3\/2 + 16*q**2 + 2*q. Let i(j) = 5*j + 4. Let l(g) = 3*i(g) + 2*o(g). Let x(f) = f. Calculate x(l(s)).\nAnswer: 5*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i - 105. Let n be r(18). Suppose -3*x = 12*x - n. Solve 0 = -4*t + 3*t + 5, -2*t = -x*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/10 + 13\/30. What is h in h + y + 1\/3*h**3 + h**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-749 + -1)\/(265\/132 + -2). Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 13. Let l = 2 + u. Suppose 0 = 3*b + 9 + 3. Sort -1, b, l in decreasing order.\nAnswer: l, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -153, -1309, -4439, -10527, -20557, -35513, -56379?\n\"Answer: -164*n**3 - 3*n**2 + n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*m**2\/5 + 12*m\/5.\nAnswer: -2*m*(11*m - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/58793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 5, 25\/2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -79*y. Let d(u) = -43*u. Let t(c) = 11*d(c) - 6*r(c). Let v(w) = w - 295. Calculate t(v(b)).\nAnswer: b - 295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 1 (c) 144\/145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*p + 5*n, 0*p + p - 1 = -n. Suppose -p*o - f = 11, -o + 1 = -0*o - 2*f. Let w = 8287\/10360 + 1\/10360. Put o, w, 0.1 in increasing order.\nAnswer: o, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191186 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23019 (base 11) to base 8.\nAnswer: 101017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 n, and 1 j when four letters picked without replacement from jidnjjgjgdjjgggn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 3*b**2 - 3*b - 2. Let s(h) = -3*h**3 - 3*h**2 + 4*h + 3. Let c = -2493 - -2496. Calculate c*s(n) + 4*a(n).\nAnswer: -n**3 + 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3275 (base 9) to base 3.\nAnswer: -10022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6804 and 196.\nAnswer: 47628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -24018?\nAnswer: 24019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnnd when four letters picked without replacement from {m: 1, n: 8, r: 2, d: 1, b: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34619 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-165865)\/(-16) - 3. Let i = 10367 + r. Find the common denominator of i and -51\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (33 + (-4 - -1) + -168 + 168).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-102)*9\/41. Let k = 2425523\/179 - 50714735831\/3742890. Let u = k - g. What is the common denominator of u and -67\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*h + 98, -4*u + 3*h + 47 = -56. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195\/7 - -28. Calculate the common denominator of j and -22\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 19 = 8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let v be u(5). Suppose v*d + 2 = -3*i, -4*i + 0*i - 4*d = -4. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 - 0.7. Let j = 11\/14 - 2\/7. Let z = 0.28 + 0.02. Which is the closest to j? (a) m (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483*88.5\nAnswer: 42745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372\/620*(1*-1 + 79736)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137\/4 + 35. Which is the nearest to -1\/3? (a) -0.1 (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 - -1 - (-61 - 1). What is the greatest common divisor of 96 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11335, 22748, 34161?\nAnswer: 45574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*n - 25 = -3*f, -5 = -2*f - n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.0273, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3615 - 3593) + 11\/(3564\/(-7136))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*j**3 + 474*j**3 - 940*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(91)*4 + sqrt(91))\/sqrt(7).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1265880665 and 10479.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 9. Let o(d) be the second derivative of d**3 + 13*d**2 + 11*d. Suppose -3*f + 0*f = 9. Let a(u) = f*o(u) + 8*n(u). What is a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/48 and -55\/81144.\nAnswer: 162288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 5*d + 50 = 0, s = d - 20. Let q = s + -23. What is the least common multiple of 10 and (2\/4)\/((-2)\/q)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let k(q) be the second derivative of 0 - 1\/3*q**3 - q + q**g. Determine k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -323*w. Let a(b) = 43610*b. Let g(s) = 4*a(s) + 539*l(s). Let y(r) = -24*r. Determine g(y(c)).\nAnswer: -8232*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -542*j**4 - 822*j + 773*j + 7*j**2 - 1865*j**4 + j**2 wrt j.\nAnswer: -57768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 25) + 5 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -4 (c) 3\/2 (d) 0.2 (e) -3\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 40*x - 19. Calculate the remainder when 86 is divided by r(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*y + 30 = 0, 32 = 5*j - 5*y - 3. Suppose 2 = -j*z + 17. Solve -z*w = -4*t - 4*w - 4, w + 4 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (59259\/(-18))\/(-9 + 371\/42) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 65.2 (b) -18 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6418 is divided by 208.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465 + 471. Let z(h) = 2*h - 1. Calculate the remainder when z(6) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-315)\/27))\/((12\/4)\/(-105)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40 times -0.217\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*(8\/16 - -1). Suppose 0 = x*w + 5*l - 137, l - 5 = 2*l. Let n = 17 + w. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*p**3)*(-3 - 3 + 5) - 8 + 36*p**3 + 6 + 23*p**3.\nAnswer: 54*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from kgnle.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*o + 32, -3*o - 49 = -5*n - 2. Solve 0 = 5*d + 4*h + n, 0*d - 2*d - 5*h - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101\/2370 + 6\/79. Let n(u) be the second derivative of -b*u**6 + 0*u**2 + 1\/20*u**5 + 1\/12*u**4 - 2*u + 0 - 1\/6*u**3. Factor n(s).\nAnswer: -s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 25*b**2 + 2*b - 3. Let s be v(1). What is the first derivative of 23*c - 35 - 20*c - s*c wrt c?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 - t**3\/6 + 7*t**2. Let a(r) = 6*r**2 + 25. Let q(n) = a(n) - 3*v(n). Find the first derivative of q(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/2 + 2058*h + 4117\/2 = 0. What is h?\nAnswer: -1, 4117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdddddjdjd. What is prob of picking 3 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let k(f) = 113870914*f**2. Give u(k(s)).\nAnswer: -113870914*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n - 192 + 2259 = -789*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4 + 220*u**3 + 57533*u**2 + 223812*u - 679500 = 0.\nAnswer: -151, -6, 2, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(5 - 14\/3). Suppose d = -26*n + 46 + 9860. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/3 + -11)*(1 - 1). Put v, -2, -149 in descending order.\nAnswer: v, -2, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 456\/(-24))\/((-5)\/((-20)\/24)) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2 (c) 2 (d) -2\/13 (e) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-1 - 1 - 1)*(69871 - 3856*q - 69871).\nAnswer: -11568*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18099\/8 - 2259. Find the common denominator of g and 329\/49*2\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/3 - 4*p**3\/3 + 16*p\/3 + 43. Find n such that d(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 3*g + 1. Let h(a) = 2*a. Let v(f) = 5*f + 63. Let r be v(-12). Let q be h(r). What is z(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32420.469876 - -32382.47. Let c = -10.3 + -27.7. Let f = c - j. What is f rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1594, -4 in decreasing order.\nAnswer: -4, -27, -1594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43280 take away -0.1?\nAnswer: -43279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -88656419.8 + 1\nAnswer: -88656418.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106474259*r**3 - 10294872*r**2 - 10*r?\nAnswer: 638845554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from ddpppwwdppwpppdpdwdp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21*(-4)\/(-112))\/((-6)\/(-20)))\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1872914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqxwxmcxcfqffcwcccw. What is prob of sequence qxx?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 - -5) + -4 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-140)*-7)\/(2*2)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 161931243 a multiple of 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -72, -99, -146, -219, -324, -467?\n\"Answer: -k**3 - k**2 - 3*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((264\/(-484))\/(10\/55))\/((-4)\/(-72)*2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666 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: What is 5017 divided by -59?\nAnswer: -5017\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 2. Calculate the smallest common multiple of o(-12) and (-2)\/(-50)*-10*-10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c + 418. Let v be s(27). Solve -m - v = 9*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337 - 337 + 8*f**2 + 28*f**3 - 94*f**2.\nAnswer: 28*f**3 - 86*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddkddk. Give prob of picking 2 d and 1 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -54.5. Which is the smallest value? (a) -5 (b) 2\/7 (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5 + 3. Suppose -5*m + 31 = -2*i, -v*i = 4*m - 20 - 16. Calculate the smallest common multiple of 8 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, 0, 189, -322 in descending order.\nAnswer: 189, 2, 0, -2, -4, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5731359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 8:39 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 46 = -39*c + 4*s, -4*c - 2*s + 130 = 0. Solve -347*z = -364*z - c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 3\/4 (c) -5 (d) 6 (e) 4\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b = -12849 + 10945 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k + 61*k = 112. Suppose 4*l + 4*d - k = -0*d, -5*d = 2*l - 62. Solve 0 = 4*z + l - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-165)*(-6)\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - 2. Let l be -1 + 6\/(-15) + 8\/(-5). Let j(t) = -25 + 4*t**2 - 610*t + 611*t + 22. Calculate l*n(m) + 2*j(m).\nAnswer: -4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -804 + 809. Suppose -b*i - 1105 = -d, d + i + 2*i = 1073. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113554 is divided by 205.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -127?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 37*v + 7. Let y(m) = -149*m - 30. Calculate -26*a(u) - 6*y(u).\nAnswer: -68*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 925\/75 + 8 + -21\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-15) + 3332\/35?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/9)*g*g**(-1\/4))\/(g**(7\/3)*g**(-15)) assuming g is positive.\nAnswer: g**(451\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 6. Let j be t(6). Let -j*w**4 + 3*w**4 + w**4 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 245\/1120*16*82\/7. Solve 70 = -31*a + b*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 0*t - t. Let f(x) = -4*x**2 - x**2 + 2*x**2 + 4*x**2. Give v(f(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 - 2 = 4*y, -2*y = -2*d + 6. Let t = d + -2. Let p = -8.2 - -8. Which is the closest to 0? (a) 2 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v - 238 + 421 - 254. Let l(a) = 23*a + 3. What is the remainder when l(7) is divided by c(8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129654 or 129651?\nAnswer: 129654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196.343 - -0.343. Let v = p + 201. Suppose -7 = 2*n + 7. Which is the second smallest value? (a) v (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 181430 - -3?\nAnswer: 181433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/18 + 3\/(-9). What is the first derivative of 1313 - s*f - 1321 + 2*f + 104*f**2 wrt f?\nAnswer: 208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 42. Let s = z + 14. Is (3 - -1)*s\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:39 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11274*h**4 + 33*h**3 + 8000*h**2 - 18*h - 2 wrt h?\nAnswer: 270576*h + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18379 = r + 3*g, 70*r - 65*r = -g + 91951. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244981958 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 less than -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5\/13 - 244*r**4\/13 + 7682*r**3\/13 - 14640*r**2\/13 + 7200*r\/13.\nAnswer: 2*r*(r - 60)**2*(r - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.081302 years?\nAnswer: 0.000081302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12785, 0.\nAnswer: 0, 5, 12785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1220728 (base 10) to base 12\nAnswer: -4aa534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451848?\nAnswer: 2, 3, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41483483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27259223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97\/51 + -4\/17. Which is the biggest value? (a) g (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q. Let z(j) = -8*j. Let m(v) = 6*t(v) + 7*z(v). Let u(x) = -37*x**2. Calculate m(u(y)).\nAnswer: 74*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (29 - 24 - 19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 + 2*z - 3. Let r be l(1). Let d be 0\/((-2)\/(-1)) - -261. Suppose p = 2*b + d, -3*b + 823 = r*p - 166. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 3, j: 5, o: 3}. Give prob of sequence kjk.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 + x. Let r(m) = -m**3 + 5*m**2 - 4*m + 1. What is 3*k(z) + r(z)?\nAnswer: -4*z**3 + 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.1301 rounded to 1 dp?\nAnswer: 330.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**5\/60 + g**4\/12 + 2*g**3\/9 - 28*g. Suppose h(w) = 0. What is w?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-343)\/(-56) + 114\/(-1680)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1633140 (base 7) to base 10\nAnswer: 226800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645766 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1313434 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -3948\/23, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - (6 - 4))*1. Suppose 0 = 4*b - n - 8. Suppose b*l + 2*t + 10 = 0, -5*l + 2*t = -l - 10. Solve l*o - o - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -b - 26, -6*s + 4*b = -2*s - 24. Suppose 0 = -2*g - r + 361, 0*g - g = -s*r - 175. Suppose -29*n + g = -26*n. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**9\/7560 - k**5\/60 - k**4\/12 - 2*k**2. Let m(b) be the second derivative of h(b). Differentiate m(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksm when three letters picked without replacement from {k: 2, s: 4, b: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 884, 8, -4, -6 in decreasing order.\nAnswer: 884, 124, 8, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 times -0.3?\nAnswer: 0.0429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 2*q + 1. Suppose 0 = -3*j - 4*m - 2, 4*m + 5 - 15 = 3*j. Calculate z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800a3 (base 11) to base 3.\nAnswer: 12221211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162885 is divided by 64579?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -2\/17, 0.1, 35\/3 in decreasing order.\nAnswer: 35\/3, 3\/11, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-405)\/((-207)\/2346*-51).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, u: 3, a: 4}. Give prob of picking 2 u and 1 a.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -306, -1050, -2512, -4932?\nAnswer: -8550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 11.\nAnswer: 104\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 69*x - 70*x - 25, 0 = d - 4*x + 5. Let j(f) = f**3 - 4*f. Let g(n) = 5*n. Give d*j(z) - 4*g(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -63.8 times 5932\nAnswer: -378461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3770822, -7541614, -11312406, -15083198, -18853990, -22624782?\n\"Answer: -3770792*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 24. Let z(y) = -y. Let l(j) = t(j) - 4*z(j). Let u(w) = -2*w + 5. Determine -3*l(x) - 14*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14539.526125 to one decimal place.\nAnswer: -14539.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3102 (base 15) to base 2\nAnswer: 10100001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 - 5*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -b + 31, m + 2*m - 39 = -4*b. Suppose o - 2 = -o. Calculate the remainder when 3\/2*4\/b is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 6*k**3 + 9*k**2 + 24*k + 12.\nAnswer: -3*(k - 2)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*(-2355)\/120 + 2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) -0.3 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81967 is divided by 25796?\nAnswer: 4579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2599196 take away 5?\nAnswer: -2599201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1604 + -11230\/7. Let m = 13\/48 - 1\/48. Which is the second smallest value? (a) m (b) u (c) 16 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 11808.\nAnswer: 11808.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2\/3*t**3 - 3 - t - 2*t**2. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4408.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310762.827 rounded to the nearest ten thousand?\nAnswer: 10310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2423 (base 8) to base 15.\nAnswer: -5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 4*o - 1414 + 1430, -2*k - 22*o = -6*k - 88 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (22 + -21) - (29 - 16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -19*w**4\/12 - w**3\/3 - w. Let j(q) be the third derivative of q**4\/24 - 252*q**2. Determine y(j(x)).\nAnswer: -19*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -98. Let g be c\/(-12) + (-1)\/4. Solve g = -u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-82))\/((-780)\/4160*(-2)\/(-12)*8)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14604348 divided by -4?\nAnswer: 3651087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.82294386 rounded to one dp?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -19*d**2. Let y(h) = 284987*h. What is l(y(q))?\nAnswer: -1543134213211*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 18596274 and 55788826\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/11, -2\/5, -7, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - (122 - 59)) + -37.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1001990 and -87\/16.\nAnswer: 8015920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 8. What are the prime factors of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.91 take away 2.097?\nAnswer: -12.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 341413089.7 to the nearest one million.\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Let i(o) = 2*o. Let s be i(1). Suppose 4*x + 25 = 4*b - 7, 2*x + 13 = b. Solve s*t + 1 - b = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 75 = 3*z, -118 = -5*z + 3*v - 94 + 101 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -5 + 7 + 6 + -18 + -4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 1\/4*k**4 + 5\/2*k**2 - k - 1 - 7\/3*k**3. Determine x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.9781ng in grams?\nAnswer: 0.0000003129781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-108))\/((-5656)\/945 + 6).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.82, 16, 1\/3, -355\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.03477 millimeters in centimeters?\nAnswer: 8.403477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53138.76kg to nanograms.\nAnswer: 53138760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 71773611 divided by -283\nAnswer: -253617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -28. Suppose 894 = -q*n + 32*n. What are the prime factors of n?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 45*g**2 - 6*g + 265. What is c(45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/27)\/((130\/45)\/13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11562947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442444 (base 5) in base 14?\nAnswer: b423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*t + 2840*t + 13021*t.\nAnswer: 14602*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from yyhyyyyoyyhyo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/900 and -82\/417375?\nAnswer: 1669500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.11643 take away -0.11?\nAnswer: 6.22643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997350 is divided by 7289.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*r - 2*r + 35 = 0, 0 = 3*r + 15. Let w be 0 + (2 + p - -6). Find the second derivative of l**2 + 9*l + w - l - 2 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 128 = -2*s. Let r(m) = m**2 - 10*m + 24. Let o be r(6). Suppose -2*h - 59 = -5*w + 6, -2*w + 2*h + s = o. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 47*o + 326. What is t(38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.4. Let d = 404 + -378.1. Let h = d + -26. What is the nearest to 0.2 in j, 0, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.925*0.8.\nAnswer: 7.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 34. Let x = 214404 - 214426.0046. Let d = x + f. Round d to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 = 9*j. Let i(q) = 55*q**3 + 2*q**2 + 3*q - 4. What is the remainder when i(1) is divided by (95\/(-10))\/(j\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3043171 is divided by 3043156?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1626385a - 3?\nAnswer: 16263857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 35512*b - 248570.\nAnswer: -2*(b - 124285)*(b - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 69, 4, -1873 in increasing order.\nAnswer: -1873, 0.4, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*b = 30, 66 = 5*u + 5*b - 3*b. Let c be 4\/6 + (-2)\/(-6). Suppose 0 = s - c - u. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbblbblbbbblbbbblb. Give prob of sequence bllb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 18039 = 3*s, -s - 20*b + 19*b = -6011. Is s at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5205*d**2 - 8548*d**2 + 273*d**2 - 1418*d**2.\nAnswer: -14898*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 99 + 101. Suppose r - 3*l = 137, 4*l - l - 757 = -5*r. What is the remainder when r is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1689, 3369, 5047, 6723, 8397?\n\"Answer: -a**2 + 1683*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.525375 millennia in centuries?\nAnswer: 25.25375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2839 divided by -6.\nAnswer: 2839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**6\/15 + 4*h**5\/5 + 13*h**4\/3 - 56*h**3 - 441*h**2 + 185*h + 2. Factor m(b).\nAnswer: -2*(b - 7)**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 61 = 14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5*h = y + 6, 9 = -4*y + 5*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 704015213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13387, 53574, 120557, 214336, 334911, 482282?\nAnswer: 656449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:17 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/28*4\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8298172, -8298208, -8298244, -8298280, -8298316?\nAnswer: -8298352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40821a (base 11) to base 15.\nAnswer: -ce195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5*b**2\/2 + 16*b - 1952. Calculate u(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 1, a: 7, w: 2, b: 2}. What is prob of picking 1 w and 1 a?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139 - -a8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2526 - -2528. Let b(c) be the first derivative of -25\/6*c + 13 - 5\/6*c**f - 1\/18*c**3. Solve b(v) = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-y + 4*y + 4*y) - 632 + 632 + 54*y)*(4 - 3 + 0).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -177, -261, -343?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113632*m**6 - 114088*m**2 wrt m.\nAnswer: -13635840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 + m**3 + m**2 + 3*m - 1. Suppose -3*v = -4*b + 385, -2*v + 4*b - b - 257 = 0. Let c = -129 - v. Give a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 558, 561, 560, 549, 522?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(605) + 0.\nAnswer: -4 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -14) + -9 + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.9 + 91. Suppose 2*u + u = 6. Let g be u - 0*(-2)\/2. What is the nearest to o in 0.5, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-56)\/(-112)*(-1018)\/1. Solve 542 - u = 9*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676 by -169.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(10))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-446*d + 11517 - 11517)*(-2*d**2 + 0*d + 0*d).\nAnswer: 1784*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 32 = -i - 0*i, 0 = -4*r + 3*i + 51. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3 + 6, 0 = -2*k + 5*s - 401. Let i = 319 + k. Calculate the remainder when i is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1630961379 to three decimal places.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -202.48, -1, 0.1308, 2?\nAnswer: -202.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-183)\/(-60) + -3). Suppose 0 = -3*i + 2*i + u. Suppose 5*b + 60 = 3*j, -5*j + 9*j - 4*b - i = 0. What is the least common multiple of 10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 3500.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 6. Suppose -3*r + 107 = 5*y, 0 = b*r + 3*y + y - 68. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -16. Let v be c\/20 + 2\/(-10). Suppose -3*n = 2*n - 20. What is the closest to 0 in v, n, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2*n**2 - 30 - 18 + 0*n**2 + 46. Determine h(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 22*r + 29*r - 60*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 58 = -166 - 63 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*9\/(-1755) - 1554\/78.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.742842 plus -0.1?\nAnswer: -4.842842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1250 and 2000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {b: 1, t: 8, c: 2, v: 3, a: 3, p: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 19*m + 76. Determine d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, v: 7}. Give prob of sequence pvp.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -83, -144, -209?\n\"Answer: -2*m**2 - 51*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337570 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37539 + 37540. Sort -5, -4, d, 27.\nAnswer: -5, -4, d, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 25. Let g be w(13). What is the highest common factor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*a**3 + 2580*a**2 + 27872*a + 9792.\nAnswer: -4*(a - 68)*(a + 9)*(11*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 303388939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1860*f**3 + 237*f**2 - 192*f - 197*f - 188*f + 577*f wrt f?\nAnswer: 11160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 27.001?\nAnswer: 27.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhkhww. What is prob of picking 1 w, 1 h, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c - 0*c. Suppose -p + c + 3 = 0. Suppose 0 = 3*t + 4*m - 5, m + p = -5*t + 42. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/10*(-260 + 245). What is the greatest common factor of 381 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 5 = 13. Let w(y) = 11*y - 1. Calculate w(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16705 and -639233?\nAnswer: 655938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -12*b**5\/5 - 2*b**4 + 16*b**3 + 16*b**2 - 4. Find a such that w(a) = 0.\nAnswer: -2, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.2733 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n\/(n\/(n\/(n\/n**(-4)))))*n)\/n)\/(n\/(n\/((n\/(((n\/n**7)\/n*n)\/n))\/n))))\/(n**(2\/5)*n)**(-5\/6))**(5\/8) assuming n is positive.\nAnswer: n**(5\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 5*u**3\/6 + 7*u**2 + 7*u. Differentiate n(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2813112 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12876 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-9 + 12) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*f - 55 + 682*f + 189 + 165 - 22 wrt f.\nAnswer: 423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1055246)\/72 + 4\/(-18). Let k = 14666 + w. Find the common denominator of k and (9\/12)\/((-6)\/(-404)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*44\/(-72) + (4\/(-6))\/1. Suppose 5*g - 293 = 2212. Suppose -5*z - 2*s = -g, l*s + 42 = -z + 150. What is the greatest common factor of 66 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t - 43 + 259 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/39639047 and 61\/2281384?\nAnswer: 317112376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 12 = -3*l + x, x - 41 = -4*l. Let z(j) = 6*j**2 - 31*j - 4. What is the hundreds digit of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 20 = -2*d, 2*q - 6*q = -4*d - 28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:22 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -113*q + 1409. Sort -34, 4, q in descending order.\nAnswer: q, 4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -266\/5? (a) 3 (b) 2\/131 (c) -11\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 19 = 361. Is 1\/4 + a*104\/(-32) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54213.84907 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*g - 14, 22*g - m = 21*g + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.808 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/3 - 148*k**4\/3 + 3974*k**3\/3 - 45452*k**2\/3 + 190696*k\/3 - 149072\/3 = 0.\nAnswer: 1, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1728)*-5.\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9322.65 litres in millilitres?\nAnswer: 9322650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 197, 201, 207, 215, 225?\n\"Answer: s**2 + s + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-2 - -1)*2). Let q = -6 + r. Let g = q - -33. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 26 = -3*d. Suppose -5*g + d*m + 1200 = 0, 3*g - 3*m - 1200 = -2*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4459 and 344911?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 968587.12 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 60*c**2 + 442*c + 49. Calculate x(7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0 - 2. Let p = 19.1 - 18. Let z = p - 1. Is y bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2)*(21\/(-7))\/3. Let p be (21\/(-9) - k)*120. Let d = -68 + p. Solve -21 = w - 4*f, 0 = -2*w + 2*f - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 6*r**2 + 231*r - 1936 = 0. Calculate r.\nAnswer: -16, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-43)*t*t*t**(-9))\/(t**(16\/7)\/(t\/(t**(-14)*t))))**30 assuming t is positive.\nAnswer: t**(-7830\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/360 and -113\/282672.\nAnswer: 1413360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 685779 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 3. Let c(p) be the third derivative of -17*p**5\/60 - 1951*p**2. What is t(c(v))?\nAnswer: -289*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -32. Suppose -1841*t + 1824*t + 255 = 0. What is the highest common divisor of t and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18122312 by 104.\nAnswer: 174253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644\/79 at most 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (54\/(-4))\/(-3)*1. Let t = n + -4. Factor -t*i**2 + 1\/2*i**3 + 0*i + 0.\nAnswer: i**2*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -w, 1 = w - 4*o - 13. Suppose -w*f - 3*i + 312 = 0, -3*f - 314 = -5*f - 2*i. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j**2 - j**3 + 9*j**4 - j + 5*j - 4*j as z*j**3 + f + c*j + n*j**2 + l*j**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + q**4 + 15*q**3 + 23*q**2 + 10*q.\nAnswer: -q*(q - 5)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 7. Let g(x) = x**2 + 2. Let u be g(-5). Let m = -43 + u. Let c = m + 22. What is o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 529*d**3 + 754*d - 24*d**3 + 20*d**4 + 2597*d**2 - 1207*d**2 - 845 + 1595*d**2 - 3419*d = 0. What is d?\nAnswer: -13, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, g: 9}. Give prob of picking 3 u.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -55*q**2 - 1 - 3*q**3 + 57*q**2 - 3*q**3. Let f be o(1). Let a(s) = -s - 5. What is a(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 432 + 435. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000179113 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 24873*a\/2 + 62145.\nAnswer: 3*(a - 8286)*(a - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14 + 47 - 11 + 5*d - 17. Let i(u) = -6*u - 6. Give 6*i(l) + 7*n(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 - u**2 + 2*u**2)*(6 - 74 - 53 - 83 - 37) to l*u + t*u**2 + d and give t.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425322 less than 97901737?\nAnswer: 99327059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + a**3 + 3*a**3 - a**2 + 1. Let n(g) be the third derivative of g**6\/120 - g**5\/20 + g**3\/2 - g**2. Calculate 3*b(j) - n(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 577799389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11962.\nAnswer: 2, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21225 = -4*z - 5*j, 0*z + 5307 = z + j. What is the hundreds digit of (1\/3)\/(15\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.058868 (b) 1\/5 (c) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w + 123. Let t be p(8). Suppose 0 = 4*n + 4*c - 76, -n = -4*c - 54 + 15. Let l = t + n. Solve x + x = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/80*4*4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143021.\nAnswer: 17, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -122 + (26 - -22) + -9?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akaaaka. Give prob of picking 2 k and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-2 + 4))\/(-1). Suppose -3*c = o - 5*o - 29, 4*c = 5*o + 37. Differentiate 7 + c*h**2 - 4*h**f - 5*h**2 + 0*h**2 with respect to h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 - -240313?\nAnswer: 234321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d**2 + 0*d + d**2 + 0*d**2 to the form h*d**2 + s*d + t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -49*0.8\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -81, -93, -87, -57, 3, 99?\n\"Answer: k**3 - 31*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10463053*v - 8256389?\nAnswer: -10463053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -60 + -3 + (-1 - 15) + -1003 + 1016\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h\/h**(1\/9))**(-39) assuming h is positive.\nAnswer: h**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 358591 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**3 - 24*l**2 + 18*l**3 + 14*l**3 + 36*l**3 + 24*l**2.\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 839 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 40*k + 40. Let z be c(39). Let l(o) = -130*o**2 - 14*o + 13. Let s be l(z). Is -131 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1 - (-4 - 112). Let f = t - 19. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139622 divided by -2\nAnswer: 69811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:46 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5770, 26307, 79768, 154613, 250842?\n\"Answer: 10692*w**2 + w - 16463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 304\/(-160)*2*(-5)\/(-3)\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 223684471 * 0.2\nAnswer: 44736894.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2121970 and 2150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*x + 2 - 16 = 0, -4*x + 16 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, 799, -0.1, 287 in increasing order.\nAnswer: -0.1, 3\/22, 287, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/61))**(4\/23)*m**(-2\/47)\/(m\/m**26))**(-39\/2) assuming m is positive.\nAnswer: m**(-64168377\/131882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*r - 506*r = -796*r - 35490 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6073, 12123, 18173, 24223, 30273, 36323?\nAnswer: 42373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/(12\/10)))\/4?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 434 - 365. Calculate the remainder when 343 is divided by s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2912256039300 from 0.02.\nAnswer: -2912256039299.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/30 and 4\/477?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/5 greater than 23062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8aa7 (base 11) to base 15\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 325870\/9 >= 36208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbeerberbrsrs. What is prob of picking 1 e and 1 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115069575?\nAnswer: 5, 29, 1538027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4023, -1\/3, 0.3, 1\/12 in ascending order.\nAnswer: -1\/3, 1\/12, 0.3, 4023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(56)*-1*-5)\/(1*(sqrt(8) + ((sqrt(88)*2)\/sqrt(11) - sqrt(8)))).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 q when four letters picked without replacement from qssqsqsqqqqqssqsss?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 3*s**5\/20 + 65*s**2 - 10*s. What is the derivative of u(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3886, 15632, 35204, 62602, 97826, 140876, 191752?\nAnswer: 250454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*g + 73 + 223*g**2 - 226*g**2 + 335 - 489*g = 0.\nAnswer: -136, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 87*n - 651 = 51*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -7, -0.065, -3\/2, 1\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 + 5*s - 5. Let r(m) = -m**2 + m - 1. Let u(j) = -12*j**2 + 12*j - 12. Let a(y) = 8*r(y) - u(y). What is -3*a(z) - 2*c(z)?\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.319817645 + -0.2?\nAnswer: -9.519817645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (11 + -12 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-101025\nAnswer: 131332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Suppose -4*s + 48 = o*t, -4*s = -0*t - t - 33. Let x be (-5208)\/3255 - (-1779)\/15. What is the greatest common divisor of s and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.5946 weeks in microseconds?\nAnswer: 355982014080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-340)*(3 + 43)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (-2 + -1 + sqrt(11)))*-4*6)**2.\nAnswer: 17280*sqrt(11) + 163584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -653.9826 + -0.0174. Let k = 653.99999911 + y. Round k to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1378344 and 4922?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + j + 29, 262*j - 258*j = 2*g + 16. Put 7, -29, g in decreasing order.\nAnswer: 7, g, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + 448 = 53*q. Solve z = -q*z - 116 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than or equal to -75.1911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -29\/3, -2 in increasing order.\nAnswer: -29\/3, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-1 + 5 - 2)*(-2*y**2 - y**2 + y**2 - 3*y**2 - 2*y**2 + 7*y**2 + (-y + 0*y + 3*y)*(y - 2*y + 2*y))*(-16*y**2 + 14*y**2 + 14*y**2).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.5141 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -5, -493?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301186 and 416?\nAnswer: 62646688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 34738*x**2 - 17370*x**2 + 79*x**3 - 17367*x**2 + 2 in the form q*x**2 + f + b*x**3 + s*x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5677, -11355, -17033, -22711, -28389, -34067?\n\"Answer: -5678*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2169 and 44\/3380205.\nAnswer: 2443888215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 112*w = -491 - 59 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1704)\/112 + 15)*(1 + 15\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 5. Let j be (l - -1) + 0\/(-4). Let p(r) = r - 6. Let f be p(j). Solve f = -5*d + 14 - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:36 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262149.\nAnswer: 3, 87383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2291147 and 944.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (6 - 51 - 48)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 328*u**2 - 2*u - 2. What is the units digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(1 + 8 - 4)*(-28 + 28 + 6*n**3 + (-1 - 1 + 4)*(3 + 2*n**3 - 3)).\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 52, 2, -32 in decreasing order.\nAnswer: 52, 2, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g - 27*g - 22 + 7*g + 12*g. Let d be r(13). Suppose 10*f = d*f + 888. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 939478 and 1802.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*p**4 + 2\/9*p**5 - 10\/9*p - 4\/9*p**2 - 4\/9 + 8\/9*p**3.\nAnswer: 2*(p - 1)*(p + 1)**3*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32100111301 (base 4) in base 16?\nAnswer: 390571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(840\/(-18))*-8*7\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 - 7*f - 4. Let o be a(-6). Let q = 390 + -394. Let b be (2*250)\/(o\/q). What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -12*k + 72. What is the lowest common multiple of 2 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 1219*z - 2442*z + 1224*z - 18, 0 = -5*g + 5*z - 40 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-17)\/(-3))\/(((-2)\/120)\/((-28)\/16)) is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0*y - 1\/6*y**4 + 3*y**3 + 27*y**2 + 0. Let w be k(4). Solve h + w*h = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -102, 17, -3\/7, 1\/3, -2\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 9*z**2 - 393*z - 1964. Give q(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**5 - 25*f**4 - 48*f**3 - 32*f**2 - 4*f - 4. Let d(y) = 2*y**5 - 26*y**4 - 48*y**3 - 31*y**2 - 5*y - 5. Let x(j) = 4*d(j) - 5*s(j). Factor x(r).\nAnswer: 3*r**2*(r + 2)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102874240 - -11699\nAnswer: -102862541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 5928162*y**2 - 2928580201827*y + 11714415658092.\nAnswer: -3*(y - 4)*(y + 988029)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-21))\/((-1033)\/(-8)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/11, -42, -1?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/9*-1). Suppose -5*o - v = -38. Let f(n) = -n**2 + 8*n - 2. Let r be f(o). Solve 3*g + 2*g = -r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 88635270.2.\nAnswer: 88635269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 - 5*b**2 + 8*b - 7. Suppose -6*v + 5*v + f = -3, v - 15 = -5*f. Let k(l) = 2*l**3 - 4*l**2 + 7*l - 6. Determine v*k(p) - 4*y(p).\nAnswer: -2*p**3 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 19*j - 4631. List the prime factors of j.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (2\/(-5) - (6348\/230 - 28))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 3. Let m be y(9). Suppose -4*w + m = -5*w. Let t = 22 + w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 206315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgtofoogfoof. What is prob of sequence tgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266342 = 139*y - 101*y. Calculate the highest common divisor of y and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -1.8. What is the closest to z in -0.01, 0.3, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let t(d) = -15*d + 6. Let c(o) = 6*l(o) + t(o). Let f(y) = -4*y**2. Give f(c(p)).\nAnswer: -900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 3 = 27*l - 26*k + 63, 22 = 2*l - 3*k + 13 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 0*q**2 + (0 + 0 + q)*(3 + 3*q - 3) - q**2 - q**2 + 4*q**2)*(-6 + 3 + 4 + (0 - 3 + 2)*(-4 + 2 + 1)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -16 (b) -4 (c) -256 (d) 52\/107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(2\/5)))\/((u\/(u\/(u**2\/u))*u)\/u)*(u\/u**(-2\/7))**9 assuming u is positive.\nAnswer: u**(321\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 226989.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 304, -0.3, -4\/9 in descending order.\nAnswer: 304, -0.3, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -36.7. Put 2\/5, -2\/3, h, -2\/11 in increasing order.\nAnswer: -2\/3, -2\/11, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13111914?\nAnswer: 2, 3, 443, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31308 (base 10) to base 11.\nAnswer: -21582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3848 - 3832 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6154.08222 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x**(2\/3))\/(x**(1\/17)*x**(2\/3)) assuming x is positive.\nAnswer: x**(15\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/5 - 744*z**3\/5 - 764*z**2 = 0. What is z?\nAnswer: -5, 0, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*m + 18 = -98, 4*q = -m + 148. Let p be (-2552)\/(-18) + 8\/q. Let h be p*(20\/8 - 3). Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -18*q + 318. Let p(f) = 13*f - 212. Give -5*h(d) - 7*p(d).\nAnswer: -d - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -946, -949, -952?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003667 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -23*f**2 - 3*f + 32 + 21\/2*f**3. What is the derivative of s(k) wrt k?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 26\/5. What is the biggest value in z, 4\/3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995 + 461 = -208*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31619118 divided by 257066\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1753, -49, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/3, -49, -1753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - (-15 - -5)) + -2 + 1. Let t(k) be the second derivative of -7*k + 1\/3*k**4 + 0 + 4\/3*k**f + 0*k**2. Let t(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3*t - 6 - 1)*(-1 + 2 + 0).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 35 = 23. Suppose 34 = 2*p - n. What is the second derivative of -230 + 17*x**2 + 230 + p*x wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 4*y**2 + 5. Let k be b(-4). Let f(j) = -j**2 + 7*j - 2. Determine f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-12)\/9)\/((-2)\/(-6)). Sort i, -11, 1, -5.\nAnswer: -11, -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*c + 2624, -3*d - 1047 = -4*c + 1046. What are the prime factors of c?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1365057280979 and 0.08.\nAnswer: -1365057280978.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 3 - 50*f.\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - (4 + (-11 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 2190*l - 239805.\nAnswer: -5*(l - 219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 732937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 6*h**2. Let c(p) = -p**3 - 3*p**2. Determine 9*c(o) + 4*t(o).\nAnswer: 3*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((24\/(-42))\/((-6)\/7)). Suppose 2*l = j*y + 26, -3*l = -0*y + 3*y - 39. Calculate the remainder when 332\/14 - (-2)\/7 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135775919861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*j - 72, 2*j - 5*i + 1770 = 1860 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 + 2*y - 1. What is s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15234 - -5?\nAnswer: -15229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**3 - 6*t**2 - 6. Let n(i) = -13*i**3 + 6*i**3 - 4*i**2 - 5 + 2*i**2 - 3*i**2. Determine -6*n(z) + 5*p(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 85957?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 33 = -29, -4*j - 19 = -5*t. What is the least common multiple of t and 6\/(-4)*(-20)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*((0 + sqrt(2448))**2 + sqrt(17)) + 5*(0 + sqrt(272))*-5)*6.\nAnswer: -58752 - 624*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 492\/16 + (-3)\/4. Suppose -a = a - p. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**2 - 19 + 0*u + 17 + 0*u.\nAnswer: -37*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 38653*m - 115960. Calculate h(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - -4. Let i = n + -31. Suppose 22 = i*r - 32. What is the highest common divisor of r and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43025113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m - 120 = 0. Suppose 4*o - m - 12 = 0. Solve -w - 2*w - o = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5637 divided by -2\nAnswer: 5637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4386710 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286284206.\nAnswer: 2, 13, 173, 63647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6*(-8 + 8) - -4. Let q(y) = 2*y**2 - 3*y. Let f be q(2). Put -3, p, f in descending order.\nAnswer: p, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 8. Let x be q(-7). Let d(y) = -5*y**3 + y**2 + 3*y. Let j(i) = -6*i**3 + i**2 + 3*i. Calculate x*j(o) + 7*d(o).\nAnswer: o**3 + o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96269, 96650, 97285, 98174, 99317, 100714?\n\"Answer: 127*s**2 + 96142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 18064.7 millimeters?\nAnswer: 0.0180647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 14.2. Let y = h - 12. Let i be 3\/6 - (-2)\/2. What is the closest to 0.2 in y, -4, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 - -1.8. Let v = w + 0.5. Which is the biggest value? (a) 0.1 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 59 + 21 - 101 + 21.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 65*c - 454. Is m(18) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 647, 1479, 2311, 3143, 3975, 4807?\n\"Answer: 832*q - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 13 - (-17 - -10)) + 6 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 140454441 (base 6) to base 14\nAnswer: 53c369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -465.85230791 + 465.856. Round f to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -131542.\nAnswer: 105233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*w**3 - 226180*w**2 - 119114121*w + 10093529034.\nAnswer: -(w - 74)*(10*w + 11679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 + 18660.6428?\nAnswer: 18930.6428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25759963 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -3*b - 24. Let o(k) = 2 - 5*k + b*k + k - k - 1. Let a(x) = x**2. Let y be a(-2). Let z(d) = -16*d + 6. What is y*z(v) - 22*o(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13558*q**3 + 7*q**2 - 7*q - 7. Let i(p) = 59024752*p**3 + 30474*p**2 - 30474*p - 30474. Give -30474*a(f) + 7*i(f).\nAnswer: 6772*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let j be d(-2). What is the units digit of ((-45)\/10)\/(3\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5708 - 6388 = 87*a + 22*a + 17*a for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*w - 99, 3*w + 74 = -5*h + 275. What is the lowest common multiple of 15 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -389, -919, -1437, -1937, -2413?\n\"Answer: j**3 - 537*j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-4)*-2)\/(10\/2400).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wppppwpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 235?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.26 - -1.66. Let b = -0.40602 + k. What is b rounded to four dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2)*(-2)\/3. Let z = 51 + -51.3. Which is the nearest to z? (a) -4 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let s be (-4)\/(-9) - 130\/(-234). Calculate t(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 3148*w - 34162. Determine n(11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -20 + 0 + 6 - (0 + 5)) + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 0.2.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(9\/3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, -390, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.9 - -13.3. Let z be (-4)\/18 - 10\/(-18). Which is the nearest to -2\/9? (a) -2\/9 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 352, 516, 674, 826, 972, 1112?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -23.\nAnswer: -23, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**4\/q)\/q*q*q*q*q**(-10)\/q*((q*q**(-6\/7))\/q)\/q*q**3)**(-4\/11) assuming q is positive.\nAnswer: q**(108\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(147) + sqrt(147) - (sqrt(192))**2.\nAnswer: -192 - 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 617*s + 7. Let v(k) = -9*k + 1. Determine -g(m) + 6*v(m).\nAnswer: -m**2 + 563*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0. Let i = h - -0.7. Is -0.1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.9. Let u = h + 0.1. Let n = -6 + 4. Which is the second smallest value? (a) u (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 1:15 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1697 + -1138. Let n = -1675\/3 + v. Let a = -0.54 + 0.6. Which is greater: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.1 - -20. What is the closest to -0.2 in -5, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/4 (c) -9418 (d) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v - 26 = 494, 4*g - 5*v = 523. Let c = 22 + g. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, -5, 7 in decreasing order.\nAnswer: 7, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**11)**(8\/7) assuming u is positive.\nAnswer: u**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376 + 4148\/11. Is 2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 128a1 + -5?\nAnswer: 1289a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 129*j. Let z(o) be the third derivative of 7*o**5\/30 + 166*o**2. Determine z(i(a)).\nAnswer: 232974*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4078, -4077, -4076, -4075, -4074?\n\"Answer: l - 4079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -535\/4. Let h = -241\/9 + 29. Which is greater: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.416, -7, 5 in descending order.\nAnswer: 13, 5, -0.416, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 13*r - 41. Let u be f(-3). Which is greater: 62\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:27 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-68))\/(7\/(-2))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20716, -41430, -62144?\n\"Answer: -20714*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from xpddqkqbdkxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293992381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmp when three letters picked without replacement from zpzmzzzpzgzp?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 515737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -337340 (base 8) to base 16\nAnswer: -1bee0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 4. Let k be b(-5). Let o = 14 + -20. Let u = k + o. Calculate the least common multiple of 5 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 14 - 0) + 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 29. Suppose 3*n = t*g + n - 48, -g = -4*n - 36. Suppose g = -42*z + 47*z. Solve -z*l + 30 = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011898786 rounded to six decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z - 3*z - 12*z. Let t(h) = -2*h. Determine o(t(k)).\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqqq when four letters picked without replacement from {r: 6, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.81 and 0.1?\nAnswer: 2.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*u - 3256 = -810 + 2202 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 4*r - 236 = 0, -5*r = 2*t - 112. Suppose t = 5*l - 129. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 117 - 27 = 0. Suppose -23*s = -18*s - 20, 2*s - 26 = -n. What is the greatest common factor of n and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2803, 2758, 2671, 2542, 2371, 2158, 1903?\n\"Answer: -21*g**2 + 18*g + 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1925 = 10*o - 2055. Let t = -14 - -9. What is the biggest value in 0.2, t, o, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jagggjjjgaj. Give prob of picking 1 g and 2 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1862 - 1308. Let y = 19075\/6 + f. What is the common denominator of y and 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (49 + -32))*(0 - 16\/8 - 6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 1, u: 5, b: 1, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1390 = -4*a + 1018, -2*l - 4 = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(-3 + (sqrt(1216) - 1*sqrt(1216)) + 5) + 1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1445 <= -174.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.7. Suppose -5*x + 9*x = 8. What is the closest to x in o, -3, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/56457 and 145\/25518564.\nAnswer: 25518564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**4\/24 + 2*w**3\/3 - w**2. Let l be x(-2). Solve 5*s**3 - 5*s**3 - l*s + 3*s**2 + 0*s - s**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01579 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 1. Let f be l(1). Suppose r + 3*z - f = 0, -5*r - 2*z + 10 = -r. Solve -r*w = -3*x - 2, x + 2*w = -3*x - 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(1872)*2 - (1 + sqrt(1872))*3)**2*3 + 2.\nAnswer: -17170 - 1296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 7*z**2 + z - 6. Let q be d(7). Let j(w) = -2*w**2 - 2*w + 4 - 1 + 0*w - 2. What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-9)*65\/(-10)*(-45)\/195. Put d, 0.3, 0, 7\/37 in decreasing order.\nAnswer: 0.3, 7\/37, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12527 is divided by 258?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 611279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 26. Let x = -8 - f. Which is bigger: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31191825 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:10 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344747303*r + 689494611*r - 344747306*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 544\/8*(-3 + 98\/28)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x - 18 + 19 + 25*x + 14*x in the form h + z*x and give z.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Suppose 0 = 5*p + 15, -c*o - 3*p - 6 = -p. Let j = -99\/206 - 2\/103. Sort 2, o, j in decreasing order.\nAnswer: 2, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-267)\/12*-4 - -5. What is the second derivative of -12484 + 13*x**5 + 12484 - d*x wrt x?\nAnswer: 260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 11 - 11 + 3 - 3 - 2*z**4 + 18*z**2 - 18*z**2 - 4*z**4 + (-3*z - 2*z + 4*z)*(-2*z + z**3 + 2*z).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s + 4. Let q be f(0). Solve -21 = -5*l + i, -4*i - 5 - 15 = -q*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c**5 + 225*c**4 + 519*c**3 - 144*c**2 = 0. Calculate c.\nAnswer: -16, -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1081450 and -309.\nAnswer: 1081141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1382 at most 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g**2 + 67*g**2 - 4*g**3 - 2 - 2 + 0.\nAnswer: -4*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**3*v**2*z**3 + 2*f**3*v**2*z**2 - 2*f*v**2 - 42*v**2*z**3 + 96*v**2*z**2 wrt z.\nAnswer: -60*f**3*v**2 - 252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 126, 378, 854, 1626, 2766, 4346?\nAnswer: 6438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2\/51 (c) 0 (d) -1 (e) 73\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:33 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. Suppose 2*x + 20 = s*x. Suppose -x*c = 10, 0 = p - 4*p + 5*c + 25. Solve -3*r - 7 - p = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 0*x**4 + 4*x**4 + (4*x - 5*x + 2*x)*(-x**3 + 4*x**3 - 2*x**3) + x**4 + 4*x**4 - 3*x**4 + 3*x**4 - 3*x**4 - x**4 - 6*x**4 - x**4 + 4*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/215 (b) 1 (c) 2\/7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24.4*-0.4\nAnswer: -9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -111*c**2 + 53*c**2 + 57*c**2. Let r(x) be the second derivative of -7*x**3\/2 + 3*x**2\/2 + 12*x. What is r(k(z))?\nAnswer: 21*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - -1) + (-2 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*y - 1637*y**2 + 354*y - 2162*y**2 - 8820*y**2 to the form s + q*y + z*y**2 and give z.\nAnswer: -12619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = f + 43, 2*f = 3*z + 5*f - 21. Let j be z\/(-4)*60\/(-15). Suppose 0 = q - 3*t - j, -5*q - 3*t + 8*t = -50. Solve -q + 2 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - -3 - (3 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -5*s, 4*s + 8 = 179*g - 174*g. Solve -4*c - 19 = 5*m - 5*c, g = 2*m + 3*c - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 times -19\nAnswer: -0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -181, -339, 12.\nAnswer: -339, -181, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1\/3)\/x*x)**(8\/7)*(x*(x*x**(-6\/11)\/x)\/x*x)\/x**(3\/5)*((x**(2\/9))**(4\/7))**(-18) assuming x is positive.\nAnswer: x**(-608\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 - 26\/(-10). Suppose -4*i - n*k + 2646 = 0, i + 6*k - 655 = 2*k. Suppose 2*a + z - i = -4*z, 5*z = 25. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 79*g**2 + 6*g - 298. What is the thousands digit of f(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67466 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:40 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 56\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 786329289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 - 10*j. Let m(p) = -9*p - 2. Give f(m(c)).\nAnswer: -324*c**2 - 54*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 8. Let j be g(6). Calculate the greatest common divisor of 104 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0133 and -0.044.\nAnswer: -0.0307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -20, -45*m + 44*m + 6 = f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22641894 divided by -7547298\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 1833011?\nAnswer: 1833011.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2934968477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + w + 3 = 4, -25 = -3*g + 2*w. Put 5, g, 19\/21, -2 in decreasing order.\nAnswer: 5, g, 19\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/3 + 2*z**4\/9 + 286*z**3\/9 - 82*z**2\/9 - 320*z - 200 = 0. Calculate z.\nAnswer: -6, -3, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 + 5*j - 9. Let o be i(5). Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, c: 2, u: 4}. Give prob of picking 1 u and 2 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*d = 4*j - 8, -3*j + 5 = -2*d. Suppose -120 = -2*f - j*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74374, -74384, -74396, -74410, -74426, -74444, -74464?\n\"Answer: -m**2 - 7*m - 74366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-2310)*-11)\/((-4)\/(-159)) and 67\/22.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -2*a**3\/3 - a**2\/2 - a - 3. Let n(z) = z**2 + z + 1. Let d be -3*((-2)\/(-12))\/(1\/(-4)). Determine d*g(p) + 3*n(p).\nAnswer: -p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 16) in base 11?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 804971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 26 - 861*i + 861*i + 11*i**2 + 36 in the form r*i + f*i**2 + o and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 92, 137?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 10604*s**3 - 7043688*s**2 + 21056896*s - 14023808 = 0 for s.\nAnswer: 1, 2, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 0*c - c + (-2*c + 4*c + 0*c)*(-2 + 1 - 8)*(-3 - 2 + 2) as b*c + f and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 24017?\nAnswer: 24021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 49*d - 45*d + 52, 2*d - 94 = -13*b. What is the least common multiple of 1029 and b?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19999 from 3.\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x**2 - 73*x + 199. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-288)*(1\/(-5) + (-9)\/(-945))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-19 + 5 + -3. Which is greater: y or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386866 is divided by 99446.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448832238 divided by 149610746.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*g + 23, 14 = 4*a + 5*g - 19. Suppose -4*x + 2 = -p, 3*p + 8 = 4*x + a. Calculate the common denominator of 145\/(-6) - x\/2 and 11\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxoxooxxoxoxxoxxox.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*z**3 - 12*z + 1839?\nAnswer: 78*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1736, 2948, 4158, 5366, 6572?\nAnswer: 7776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 56. Let m be x(-9). What is the highest common divisor of 4183 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14870493487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4896, 4904, 4926, 4968, 5036, 5136, 5274?\nAnswer: 5456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(106 - 17 + 5*d - 217).\nAnswer: -10*d + 256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 298 and 1168309?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*l + 115*l - 14*l to the form x*l + a and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -55*t - 27*t - 353 - 200 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-4)*20\/6)\/(((-577455)\/(-1370))\/843).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*k**5 - 15\/8*k**3 - 3\/8*k**2 + 3*k + 3\/8*k**4 - 3\/2.\nAnswer: 3*(k - 1)**3*(k + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/15*175\/140. Let u = 3.1 - 0.1. Which is the third biggest value? (a) 4 (b) s (c) 5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 4. Let m be i(-3). Let g be m + 24\/(-1 + 3). Suppose -5*v = 4*l - 195, 67 = 3*v - 5*l - g. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176476465 divided by -19151.\nAnswer: -9215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.004 - -29.004. Let m = i + -25.4. Round m to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.139937 - 0.14. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(81) + sqrt(81) + sqrt(81)*-2)\/sqrt(9) - sqrt(9))*-5 + (sqrt(18)*-1*-5 + -2)**2.\nAnswer: -55*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 1893408.\nAnswer: 3786816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4713.724 kilograms to micrograms.\nAnswer: 4713724000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**3 - 10*x**2 - 4*x - 17. Let u(h) = -2*h + 55. Let w be u(23). Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.137 * 0.84.\nAnswer: 0.11508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 4*w**2 + 3. Let m be s(-3). Suppose v + 6 = 11. Suppose 4 + m = v*j. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 60*b**2 + 90*b - 2156. What is k(-62)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 7*p**2 + 38*p - 99. Determine c(11).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 17 + 43. Let h be m\/(-25)*206\/(-72). Let n = -10\/9 - h. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r - 5. Let i be m(-6). Let s be (8\/(-10))\/(i\/35). Which is the second smallest value? (a) s (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r + 5*b - 22 = 0, 3*b - 4 = 4*r. Let p(j) = 0*j + 2*j**3 - 1 - 3*j**3 + 2*j. Calculate p(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5167208093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(9\/3) + (8\/14 - 1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f. Let c be h(-1). Let t = 186 + -123. Suppose 5*p + 33 = 3*u - c*u, -t = -4*u - 3*p. Is 18 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6907 is divided by 6897.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:59 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i - 47*i + 9 + 27*i in the form f + t*i and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -20. What is the closest to 0.2 in -2, u, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*u + 4294 = -6734 + 2458 - 1474 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -0.1 (c) 1\/5 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 - 4*p - 4. Let d be u(5). Let x = d - 43. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -5*o - 5*p, -3*o - 91 + 280 = 5*p. Suppose 3*i + o = 5*d - i, -44 = -5*d - 3*i. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1091 + -1145. What is the common denominator of 1\/2 - 34\/(-3) and u\/90 + (-247)\/80?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -25, -44, -91, -178, -317, -520, -799?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.6 times 127?\nAnswer: -2870.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*c - 10, -205*d - 5 = -222*d + 7*c - 3*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let u(x) = 452*x - 3. What is u(n(d))?\nAnswer: -904*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -29*s**3 + 2*s**2 - 7*s + 23. Let z be w(-5). Suppose -10*c + 5727 = -z. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (3 - (-5 + 2))) + -7 - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*4\/8 + -23. Let s = g + 34. Solve 0*o = -4*o + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25390 or 25267?\nAnswer: 25390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -8. Let k be (-3)\/2*7*(-8)\/(-28). Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93772507511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -5\/6*c**3 + 77*c + 3\/2*c**2 - 1\/12*c**4 + 0. What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 17*z = -583434. Let m = z - -45502. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - f + 4)*(-105*f**2 - 15*f**2 - 84*f**2)*(0*f - f + 3*f).\nAnswer: 408*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -5, 4, -0.036 in decreasing order.\nAnswer: 4, -0.036, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2712 and 39\/10.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 25 = 2*n. Suppose c = -13*c - 28. What is the tens digit of n*((-8)\/c)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*s + 125 + 135 = 187*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -106*b**2 + 19. Let t(l) = -106*l**2 + 17. Let c(u) = 3*n(u) - 4*t(u). Let d(r) = 21*r**2 - 2. Give -2*c(j) + 11*d(j).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from ygyggy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 2681945825*k**2 + 2681945825*k**2 + 4*k**3.\nAnswer: 4*k**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 267821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164 + 165. What is the units digit of 3266\/8 - (y + (-70)\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 395, 3399, 11541, 27389, 53511, 92475, 146849?\n\"Answer: 428*f**3 + f**2 + 5*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 - 10442*t**3 - 1989604*t**2 - 93926680*t = 0 for t.\nAnswer: -94, 0, 10630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 10. Let k(i) = -4*i**2 - 11. Determine -5*h(c) + 4*k(c).\nAnswer: -c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 10*f - 6. Let p be q(3). Calculate the highest common divisor of 825 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813879 (base 12) to base 2.\nAnswer: 111101100101000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 85 = -5*k, -2*k - 4*c - 59 = k. Let b = -11 - k. Suppose -32 = -s + b. What is the highest common factor of s and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o**3 + 0*o + 5*o - 4*o. Let q = 340 - 337. Give k(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 8*b**2 - 11*b - 4. Let o be m(-9). Suppose 2*j - 22 - o = 0. What is the remainder when -2 - -1 - 93\/(-3) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 0*k - 2*k)*(-4*k + 4*k - 2*k + (-4 + 3 + 2)*(0*k - 3*k - k))*(3 + 2 - 2).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1271, -1274, -1277, -1280?\n\"Answer: -3*s - 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdh. Give prob of sequence hd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 86079168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -40*i - 80 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*-4 - sqrt(128)\/(sqrt(8)*-2))\/((sqrt(24)\/sqrt(3)*-6 - sqrt(8)) + sqrt(64)\/(sqrt(8) + 1*sqrt(8) + sqrt(8) - sqrt(8))) + -5.\nAnswer: -5 + 15*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -76. Let i = 0 + d. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 + 192*m**4 - 1788*m**3 + 6112*m**2 - 7104*m = 0. Calculate m.\nAnswer: 0, 3, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(1694) - (sqrt(1694)*-3 + sqrt(1694))))\/((6*sqrt(140)\/sqrt(10))\/sqrt(7))*-3.\nAnswer: -594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose 18 = -3*i - 3. Let v = z - i. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 1936*w - 2*w**2 - 3 + 1939*w - 3871*w + 2*w**2. Calculate m(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31821*u**3 + 1400094*u**2 - 15400044*u - 14520.\nAnswer: -3*(u - 22)**2*(10607*u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1625978 by -9.\nAnswer: -1625978\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 - 4*m + 10. What are the prime factors of q(5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -11, -10, -27, -68, -139?\n\"Answer: -y**3 + 20*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, -4964, -13257, -24866, -39791, -58032, -79589?\n\"Answer: -1658*y**2 - 3*y + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from pporrrpedddprrdd?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1241.5959 * -0.17\nAnswer: 211.071303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osss. What is prob of sequence so?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-4 - 5)) + -10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (177\/3894)\/((-21)\/14).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**13\/(w**(-6)*w)*w*w\/((w\/((w**(-4\/7)\/w)\/w)*w*w)\/w*w*w)*w*w*w**(1\/11))**(8\/5))**(-19) assuming w is positive.\nAnswer: w**(-36328\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 77\/(-33))*390\/13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:59 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 30, 3*m - 3*t - 4136 + 4181 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 690\/92*1\/((-5)\/6)*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 6.081360608714\nAnswer: 5.681360608714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 4:06 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*d = -1276*d - 544*d + 2402 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1772145135646+-2\nAnswer: 1772145135644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24092 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + -7 - (4 + 11 + -14) - -88.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/34513929 and 83\/122716192.\nAnswer: 1104445728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 869885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, j - 122 = -3*j + 2*k. Find the second derivative of -63 + j + 41 + 2*m + 48*m**5 wrt m.\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) - ((-2310)\/351)\/(-11)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -158 - (104 - (-47 - -173))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l. Let y(q) = -q**2 - 3*q - 3. Let r(g) = 3*p(g) - y(g). Let j be r(-3). What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 i, and 1 x when four letters picked without replacement from {i: 1, m: 4, x: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by (-17)\/(2057\/(-22484)) - (-4)\/22.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 17*q**2 + q**2 + 13*q**2 + 12*q**2 to z*q**2 + a + x*q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*a - 28, 5*y - 4*a + 75 = 25. Let f be 12\/(-8)*8\/y. What is the third derivative of d**3 - d**3 - 2*d**f + 3*d**6 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 1. Let c be h(-2). Suppose 2*m = 2*l, -5*m - 4*l = -1 - 35. Suppose m = 3*k - c. Solve -k*j - 25 = 3*i - i, 3*i = -4*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25283164*c*w**2 - 27644261*w**2 wrt c.\nAnswer: 25283164*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let v = -13 - l. Let n = 5 + v. What is the second biggest value in -5\/6, -0.4, n?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47759083*w**2 + 7322263*w?\nAnswer: -95518166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8228024059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -2 - (-5 - -6). Let i(x) = -x**2 + 5*x**2 - s*x**2 + 3*x**2. Let v(t) = 5*t. What is v(i(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -628, -679, -732, -787, -844, -903, -964?\n\"Answer: -d**2 - 48*d - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -0.1.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 2*s + 2*s + ((-s - 2 + 2)*(3*s - 7*s + 0*s) + 5*s + 3*s**2 - 5*s)*(3 + 3 - 4) to the form m + d*s + w*s**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36163180 divided by 18?\nAnswer: -18081590\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -9. What are the prime factors of ((-6)\/9)\/(2\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 27*f**2 - f + 47. Let j = -295 + 268. Suppose -5*g - 3*z + 66 = -0*g, -5*g = -4*z - 87. What is the remainder when o(j) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + t + 2568 = -104, 5*t + 10687 = 4*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let z(n) = -2*n**2 + n + 3. What is -2*k(j) + z(j)?\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a**2 + 7*a + 7. Let k(c) = -18*c**2 - 6*c - 6. Calculate -6*k(r) - 5*w(r).\nAnswer: 23*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-2) + (14\/(-7) - 1). What is the third derivative of 5*t**4 + 23*t**2 + 21*t**4 - c*t**2 wrt t?\nAnswer: 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-602)\/(-42))\/((-2)\/(-12)). Let d = w - 86. Suppose d = -5*v + 149 + 146. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*l = -2476, -l + 0*l = -5*x + 3074. Calculate the smallest common multiple of 12 and x.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 - 1705*i**5 + 1712*i**3 + i**2 + 703832*i + 1 wrt i?\nAnswer: 240*i**3 - 102300*i**2 + 10272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18803 and 2449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 267d?\nAnswer: 267a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*p + 507*p + 3 - 75*p.\nAnswer: 445*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -3\/8 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054 * -4652925.\nAnswer: -251257.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84555\/16 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185305108.8558 plus 1?\nAnswer: 185305109.8558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.4 + -23. Which is the second biggest value? (a) -0.2 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462.6 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-24)\/15))\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249814392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1059, -114, 831, 1776?\n\"Answer: 945*v - 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 27*v**3 + 3*v**2 - 19*v + 181. Is a(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 227, 220, 211, 200, 187, 172?\n\"Answer: -l**2 - 4*l + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(82\/1025)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/17)*c**(7\/2)\/c*c\/(c\/(c*c\/c**(-1\/5)))*c\/(c\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(2177\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 - 13 - (4 - -1) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*h + 6, -4*f + 0 = 4. Let n = -22 + 21. Do h and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731742 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q - 149. Suppose -65*y = -68*y - 63. Let u be j(y). Is u < 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 - 180*u - 203. What is k(-19)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4. Let d(s) = -2. Let q(z) = 5*d(z) - 3*f(z). Let v(c) = -c**3 - 6*c**2 + 2*c + 9. Let t be v(-6). Let b(h) = h + 4. Give t*q(m) + 2*b(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -4. Let u be (288\/15)\/((-12)\/(-40)). Suppose 3*c - u - 483 = -m, 0 = -2*c + m + 363. Calculate the highest common factor of c and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16966 = -2*h - 16920. Solve 18*o + h = 2*s + 13*o, -2*o - 14 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3*8\/36). Is (-7174)\/(-6)*2\/c*-9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Let p(y) = 4*y - 12. Let d be p(13). Calculate the greatest common factor of d and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*y + 241*y + 139*y + 245*y + 242*y + 241*y - 1358*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 9*u**2 - 5*u**2 + 14*u**2. Let n(o) = -o - 2057. Calculate d(n(g)).\nAnswer: -2*g**2 - 8228*g - 8462498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11*z**4\/4 - 33607*z**3\/4 - 3055*z**2\/2 = 0?\nAnswer: -3055, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17068568*p**2 + 15837555?\nAnswer: -34137136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 21*g - 132 + 65 = -18*l, 0 = 2*l - 3*g + 2 - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, r: 1, v: 1, u: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r + 2\/3*r**3 + 0*r**2 + 15 - 1\/2*r**4. Suppose -3*j + 5*j = 4. What is u(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/7, 3\/4, 107, 38 in increasing order.\nAnswer: -0.5, -1\/7, 3\/4, 38, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-4))\/(36\/(-1200))*-138?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c. Let j = -8 + -4. Let t = 9 + j. What is the nearest to t in 0.4, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*y + y + y)*(-4 + 3 - 1) - y + 3*y - 3*y + 11*y + 10*y - 10*y - 1 + 4*y + 1)*(-1 + 1 + 1) to the form q + c*y and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h + 15586 - 45778 = 0. What is the highest common factor of h and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126411 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/21 - (-190)\/(-456)*24\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*2\/(-42)*1. Let l = 231\/8 + -1593\/56. Let p = -17 + 12. What is the biggest value in p, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 10*v + 3*v + 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 4*f - 13, -2*f + 1 = 5*x. Let j be x*((-4)\/(-3))\/(-2). Factor 2\/3 + 2*d + 2*d**2 + j*d**3.\nAnswer: 2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*r + 2676246 - 2676286, -13 = 2*r - k - 0*k for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 2 = -8*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1467 + -1446. Calculate the greatest common factor of q and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 22*q**2 - 20334 + 20334)*(-4*q**2 + 13*q**2 + 3*q**2) to l*q + u + v*q**4 + a*q**2 + t*q**3 and give v.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 6*h. Let j be -21 - -6 - h*(2 + 1). Let b(s) = s**3 + 19*s**2 + 10*s + 31. List the prime factors of b(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 26*v - 23. Suppose -2*b + j = 13, 2*j + 22 = -4*b - 0. Let n(a) = -24*a + 6*a + 6*a + 3*a + 8. Give b*u(g) - 17*n(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 - (-153 + 167).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 0. Let k(t) = -t + 2. Let c be k(d). Suppose -488 = -2*a - 2*a - c*r, r - 607 = -5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011000 (base 2) to base 11.\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + -0.86. What is the closest to -1\/4 in -0.2, b, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*1\/(-3). Let w = -891\/5 + 179. Put 0.5, f, w in decreasing order.\nAnswer: w, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*w**2 - 768*w**2 + 2315*w**2 - 46*w + 45*w - 832*w**2.\nAnswer: -60*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/((r**(1\/3)\/r)\/r*r))**(-1)\/((r\/r**(2\/11)*r)**(-48))**(-38) assuming r is positive.\nAnswer: r**(-547244\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -52. What is the tens digit of 48\/(-21) - y - 900\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 5*s + 0*s + 12 + 0*s. Let p be t(-9). What is the units digit of (-15)\/(-2)*(-64)\/p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 21. Give z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12*u - 612 = -16*u, 0 = 4*c + 5*u - 817. Calculate the remainder when ((-2)\/(-6))\/((-8)\/(-888)) is divided by ((-9)\/36)\/(-1 + 204\/c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + 1)**2 + (sqrt(17) + -2)*1 + sqrt(17).\nAnswer: 42*sqrt(17) + 6799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:05 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -30*m**2 - 10. Let l(h) = 10*h**2 + 3. What is 3*k(s) + 10*l(s)?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/30 + b**3 - 5*b + 3. Let s(y) be the first derivative of o(y). What is the second derivative of s(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3*t**2 - 1052*o**3 + 1039*o*t**2 + 2*t wrt t.\nAnswer: 6*o**3 + 2078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -1467.\nAnswer: 55\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1959 + -0.93143940496.\nAnswer: 1958.06856059504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*g**2 + 158*g**2 - 9927093 + 9927093.\nAnswer: -178*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68740671 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 223924, 1 in descending order.\nAnswer: 223924, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317 = -23*d + 880 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163 is divided by 127.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 140396938 = -8545487. Let t = 535822135\/18 + y. Let w = 20594 + t. Calculate the common denominator of -17\/4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.009 - -45. Let j = c + -0.003. Let f = j - 0.058. What is the nearest to -0.2 in -2, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - -2)*6\/(-4). Let s(f) = -f**3 - 9*f**2 - 7*f + 5. Let l(m) = -m**2 + 1. Let q(c) = -l(c) - s(c). List the prime factors of q(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.4 - -38.58. Let z = w + -5.87. Which is the smallest value? (a) -1\/2 (b) -0.4 (c) 2\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965447688.\nAnswer: 2, 7, 52954423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 1*(sqrt(91)*-2 + sqrt(91)) + sqrt(91))\/(sqrt(7) - 1*(sqrt(7) + (sqrt(7)*2 - sqrt(7)))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -681480\nAnswer: 340740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -556*m + 7220. Give z(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-10 + -9 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -2682663.\nAnswer: 61701249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757 = -6*h + 1397. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - 7*n**3\/6 + 4*n**2 - n. Does 7 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.32 - 0.02. Let x = -9.6583 - -7.6583. Which is the fourth biggest value? (a) x (b) -2\/11 (c) v (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 2 + f**3 - 8*f**3 + (-3*f + 8 - 8)*(-2*f**2 - 5*f**2 - 2*f**2) to v + j*f**3 + w*f + c*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250) + sqrt(250) + (sqrt(250) - (sqrt(250) + 2*sqrt(250))) + sqrt(250))\/((sqrt(20)*3 + sqrt(20))\/sqrt(10)) + (-3*sqrt(245) - sqrt(245))*5 + 3.\nAnswer: -555*sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n**2 - 2*n. Let z(l) = -15*l**2 + l. What is 5*w(x) + 8*z(x)?\nAnswer: -5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2853 and 2536?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 962*n + 13 - 980*n - 11. Let f(z) = -2*z. Calculate t(f(i)).\nAnswer: 36*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -5 (c) -1\/7 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/9))**(-28)\/(u**(-2\/79)*u**(14\/5)*u))**(-2\/47) assuming u is positive.\nAnswer: u**(48958\/167085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02516 - 8.2.\nAnswer: -8.22516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-904*m + 477*m + 30 + 547*m)*(m**3 - 2*m + 2*m) as l*m**4 + h*m**2 + r*m + i*m**3 + z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 1\/2*s**2 - 135\/2*s = 0.\nAnswer: -136, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*j + 38*j + 8*j + 18*j.\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 46 = 4*p. Suppose 3*k - 8*k = -5*u - 5, u + p = 3*k. Solve -2*g + k = 0, -j = 5*g - 25 + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8211*g + 2. Let u(t) = 2751*t. What is b(u(f))?\nAnswer: 22588461*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648904?\nAnswer: 2, 7, 23, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -1, -100406?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 11.1?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605573 is divided by 9316?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99412 - 172409 = -13*z + 197611. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 23. Let k = 1 - -13. Let a = 13.7 - k. Put -3, a, h in increasing order.\nAnswer: h, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*a - 275 = 91*a. Calculate the greatest common factor of a and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -26?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 3*n - 5. Let a be ((-1)\/(-2))\/(11\/110). Suppose -50*j - 41*j = -20*j. Sort a, j, n, -3 in decreasing order.\nAnswer: a, n, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 + -19 + 31 + 22\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.71, -1, 10\/552599 in decreasing order.\nAnswer: 10\/552599, -0.71, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1050)\/((-1701)\/(-17010)) + 2\/21.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c - 1. Let m be o(-11). Suppose -r + 207 = m. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/103 or 0?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 941145\/6*(-6)\/95050. Let n = o - -3\/1901. What is the common denominator of n and 101\/18 + 0\/(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**2 - 4*j + 4*j + 0*j to the form s*j**2 + m*j + y and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (152 + -58) - (2 + -23)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.784034 hours in microseconds?\nAnswer: 6422522400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2. Let l be t(-3). Let h be (16\/56)\/(11\/l). Let x = -1.99 + -0.01. Is h bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 2*i**2 + 4*i. Let x be y(3). What is the units digit of 21390\/x - 18\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w**2 + w)*(1 + 8 + 4) in the form g*w + b + k*w**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/24*w**4 + 0*w + 8*w**2 + 0 - 1\/6*w**3. What is v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*j + 223*j - 31600 + 12412 = 0 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 130, 266, 404, 544, 686, 830, 976?\n\"Answer: g**2 + 133*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 + 31 = -42*s + 131 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**2 - 8*a - 75. Calculate k(-6).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 343420.093 to the nearest 10.\nAnswer: 343420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/(-825)*(-5)\/(-3)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j. Let i(u) = -9*u. Let g(o) = -11*i(o) + 6*z(o). Let w(q) = -2*q**2. Determine g(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 5*sqrt(77)*3)\/sqrt(11) - (3 + 4*sqrt(567)))**2.\nAnswer: 300*sqrt(7) + 17509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.18 - 6.17. Let v = 0.01 - r. Suppose 0 = q + h - 2, q + 1 = -3*h + 5. Which is the nearest to -0.3? (a) v (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.882932 years to decades.\nAnswer: 0.1882932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 438*j - 120*j - 23716 for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 4*c + 15, k - 5*c - 14 + 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p - 1\/3*p**3 - 32*p**2 - 1\/8*p**4 + 0. Let z(a) = -5*a - 7*a - 5 - 4. Determine -9*k(s) + 2*z(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.06 - -7. Let f = b + 4.06. Let l = f + 1. What is the smallest value in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.11855692 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2998? (a) 0 (b) 1\/7 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5759 or 0.109?\nAnswer: -5759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1032)\/430)\/(21\/(-10)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/347 - -379\/694. What is the nearest to i in 13, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 + 6*f + 3. Calculate k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**4 + 24*f + f**4 - 3*f**2 + 10 - 10. What is the first derivative of h(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = 0, -8 = -f - 3*l + 9. Solve -3*i - 3*w = -6, -f*i + w + 16 = -3*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442440 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4420344400 (base 5) in base 15?\nAnswer: c87b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6236 - 4005. List the prime factors of t.\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = w + 2*o, 5*o = o. Suppose -5*v = -w + 17. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 2 x when four letters picked without replacement from xcsxxssxxsxvxxssxtsx.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008984039 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 5, i: 2, p: 1, n: 1, a: 3}. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 0.2061718.\nAnswer: 0.3061718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*p + 14 = -219*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/a**10*((a*a**(-9))\/a*a)\/(a**2*a))**(-27))**(-14) assuming a is positive.\nAnswer: a**(-8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-319)\/(-44) - 2\/8. Suppose t*c - 8*c = -128. Calculate the greatest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -1254, -4646, -11348, -22464, -39098, -62354?\nAnswer: -93336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18137 - 17989. What is the highest common divisor of d and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*(-1 + 1). Solve 5*j = -s*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 32*g**7\/147 - 48*g**6\/35 + 97*g**5\/35 - 12*g**4\/7 + 8*g**3\/21 + 17*g. Suppose m(i) = 0. Calculate i.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10164280 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(60\/5))\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 22. Let g = 2 + u. Let d = 36 - g. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(343)*-5.\nAnswer: 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 = z, -3*z - 3*m = z - 9. Let t(p) = 0*p + 0*p - 5*p + z + 4*p. Give t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + 21310111313?\nAnswer: 21310112131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/25 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*q = 246, q = -2 + 6. What is the lowest common multiple of k and 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-558)\/1767)\/((-9)\/(-171))*(-2)\/(-7)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + -3 + (2 - -55). Let f = l - -49. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -15191 (c) -0.4 (d) -1\/4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1159 - -3084?\nAnswer: 1d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -8, -3\/4, 0.4, 1, 2\/19 in decreasing order.\nAnswer: 1, 0.4, 2\/19, -3\/4, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 44 = -92 - 78. Calculate the smallest common multiple of 234 and d.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and -649.4.\nAnswer: -9.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 5, -4.\nAnswer: -4, -1, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38382 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -391*f**6\/30 - f**4\/12 - f**3\/2 - 207*f**2\/2 + 747*f. Find the second derivative of y(b) wrt b.\nAnswer: -4692*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-29)\/4 - 84\/112)\/2. Sort 3, l, 20, 4, -5 in increasing order.\nAnswer: -5, l, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)\/o)\/(o\/(o*(o*(o*o*(o\/(o\/o**(-2\/3)))\/o)\/o*o)\/o*o*o)*o*o))\/(o**(-3))**(-48) assuming o is positive.\nAnswer: o**(-3044\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 + -33443?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 6*x - 30. Let k(d) = -2*d**3 - 34*d**2 - 3. Let g be k(-17). Let l be n(g). Sort -0.5, l, -0.1, 3 in decreasing order.\nAnswer: l, 3, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 94. Suppose c*k - 11*k = 521. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8224 = -32*z + 65760. List the prime factors of z.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5890.03688256 take away 0.2?\nAnswer: -5890.23688256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 476042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1567183 * -0.06.\nAnswer: -94030.98","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.05, 5, -131784?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 7, d: 7}. Give prob of sequence td.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24)*2)\/(235*(-356)\/25098)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*((-1 - -1) + 0). Let x = 5 + -4. Suppose -1 = -2*s + n + 2, -s - 4*n + 6 = 0. Solve -3*z + s + x = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*y + 120*u - 123*u, y + 5*u = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1644 - 1169. Is 15 a factor of (18\/15)\/(1902\/q - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/45)\/(1\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 705 - 703. Let r(i) = -i + 23. Let g be r(20). Which is the closest to y? (a) 4 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -788845 > 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 276.96 - 278. What is the third smallest value in -2, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 0. Let w = 18 - 15. Suppose -l - l = g - v, -w*g = -2*l + 16. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + -2*sqrt(504) + sqrt(504) + sqrt(14))\/(2*sqrt(162) - sqrt(2)).\nAnswer: -4*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188334 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) 2\/9 (c) -3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435 - 34757 = -2784*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3 - 33. Suppose -4*f + b = -2. Suppose 0 = f*a - 6*a + 36. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**2 - 4*b**2 - 9 + 17*b + b**3 + 22 + 9*b**2. What is the hundreds digit of j(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3110+66046\nAnswer: 62936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 + -4)*(-4)\/6. Let p = -2 - n. Calculate the remainder when 14 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:43 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -278, -313, 2, 185 in ascending order.\nAnswer: -313, -278, -3, 2, 4, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, a: 1, f: 2, p: 2}. Give prob of sequence ffap.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 2*s**5 - 4*s**4)*(169 + 250 - 480).\nAnswer: -122*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(170) - sqrt(170)*-2*3)\/(sqrt(60)\/sqrt(24)))*-3.\nAnswer: -42*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 34. Let k = -14 - l. Calculate the greatest common factor of k and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 4}. Give prob of sequence ss.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {l: 1, e: 2, y: 4, d: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 13 + -72 + 67.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 2*c**2 - c. Let d be m(-2). Let v(a) = a - 8. Calculate the remainder when 6 - 2\/(-4)*d is divided by v(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:13 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/7 (b) -7903 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -14. Let x = -5 - u. Suppose -x*w = -0*w - 20. Solve 0 = -d - d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxtttxxttxttttttttt. Give prob of picking 2 t.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from nssssnssnnnssnns?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 764 = 5*s, -3*s - 2153 + 262 = -5*y. Let b = y - 374. Solve 6*q - q = -b*o, 3*q = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - -5*sqrt(70)*1))\/(sqrt(110)\/sqrt(44)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (35696\/(-4830))\/97*(-10)\/(-96)*4\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from fbbffbfffbbf.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -78?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -401956*c**3\/3 - 2536*c**2\/3 - 16*c\/9 - 467. Suppose n(w) = 0. What is w?\nAnswer: -2\/951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64289700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-165)*-11*4. Let y(g) = 6*g**3 + 3*g + 4. Let n(d) = 7*d**3 + 4*d + 5. Give w*y(f) + 3*n(f).\nAnswer: -3*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(-7 + 61\/(-3)). Let s = z - -336. Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 49 = 26. Let d(n) = -27*n + 22*n + 11 + 12. What is the remainder when d(-15) is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 84?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-128)*(0 + (-36)\/(-33)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**4\/42 - 22*r**3\/21 + 121*r**2\/7 - 2662*r\/21 + 7735. Let h(z) = 0. Calculate z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*d - 67. Let l = -37708 - -188539\/5. Which is the smallest value? (a) 4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + r + 163. Calculate y(17).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4326.0056228 - 4326. Round q to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (91 - -84) - -176.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/18 and -29\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1020.\nAnswer: -1\/1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, 130, 197?\n\"Answer: 67*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, -10\/73, -0.2, 0.55, -0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 18 = -4*d, -5*d + 20 = 2*u. Let o**4 + 40 + o**u - 40 - o**2 - o**3 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684) + 3 + -2*sqrt(19) + (sqrt(418)\/(sqrt(11)*2))\/(sqrt(2) - ((sqrt(2)*1 - sqrt(2)) + sqrt(2))*3).\nAnswer: 3 + 39*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-462) + 2\/21*-3. Which is the biggest value? (a) 0.004 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64219 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52446 divided by 53?\nAnswer: 52446\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 427*i - 4 - 427*i + 13*i**2 as l + c*i**2 + h*i and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 77*b - 12. Let z(n) = -n - 4. Calculate x(v) - 4*z(v).\nAnswer: 81*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2442 - 2453 = -t - 3*p, 0 = -p + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/422 and -3\/5.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88))\/(sqrt(1331)*1) + 2.\nAnswer: -2*sqrt(2)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**3 - 33345*y**2 - 55644435*y - 166633335 = 0?\nAnswer: -3333, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.98.\nAnswer: -0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3987105.\nAnswer: 3, 5, 265807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4 - 2 + 11 - d. Let v be (-6)\/(-24) + 14\/8 + -2. What is the tens digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (4*-2*sqrt(204) - sqrt(204)) + sqrt(204))\/(sqrt(192)*-6) - -1*(-1 + (sqrt(170)*-3)\/sqrt(10)).\nAnswer: -65*sqrt(17)\/24 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 11. Let s be ((-4)\/6)\/(f\/204). Let d = 26 - s. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 12 + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262 - 228 = -3*b + 38*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 1, 3, -0.2 in decreasing order.\nAnswer: 3, 1, -0.2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 3105*n + 3110.\nAnswer: -5*(n - 1)*(n + 622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, 41, 17, -27, -97, -199, -339, -523?\n\"Answer: -d**3 - d**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 - -30.61. Let o = h + -34. Which is the second biggest value? (a) -8 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven eighths of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 14*y - 33. Let j be o(-17). Let q be ((-8)\/2856)\/(7\/j). Is -1 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:33 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4936207 is divided by 174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -189. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*i**5 - 8326*i**4 - 281952*i**3 + 650096*i**2 - 5568*i - 200032 = 0. What is i?\nAnswer: -658, -38, -1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135.025 + -159. Let o = -0.025 + i. Let v = 24.000055 + o. What is v rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/774 and -39\/40.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -44. Suppose 0 = -4*n + 2*q + 6, -3*q + 7 = 3*n - 7*q. Put v, -1, n in ascending order.\nAnswer: -1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {x: 3, z: 1, f: 4, j: 2, y: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*h + 112804 + 54230. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1307\/283365?\nAnswer: -1307\/283365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.16. Let l = -0.06 + h. Let p = -1350 + 1352. What is the second biggest value in p, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 - 9*z + 10. Let i(n) = -2*n**3 + 5*n**2 - 8*n + 11. Let v(m) = -6*i(m) + 7*q(m). What is the units digit of v(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 64*t + 636. Determine b(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2. Let b(p) = -451*p**2. What is b(l(k))?\nAnswer: -7216*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13366121?\nAnswer: 13366121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(-8\/13))**(-5\/7) assuming g is positive.\nAnswer: g**(120\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 50 = 3*l, 2*l - 13 - 27 = -2*j. Let y be ((-1)\/l)\/((-17)\/(-68)). Which is the third smallest value? (a) 21 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4646*b**3 - 7976*b**3 - 3364*b**3.\nAnswer: -15986*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 0, 40, 150, 354, 676, 1140?\n\"Answer: 4*n**3 - n**2 - 31*n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 1. Let w(g) = -6*g + 1. Let c = -9 + 14. Suppose 0 = -3*b - 3*u + 3 + 9, -2*b = -u - c. Determine b*r(z) + 2*w(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2222 and 138?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 29. Let g be v(-12). Let s(b) = 2*b - 7. Let w be s(5). Suppose 0*z - w = -5*r + 2*z, -g*r = 3*z + 17. Which is bigger: r or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1070\/9 - -119. Which is the second biggest value? (a) -2 (b) 5 (c) i (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11200211 - -1220?\nAnswer: -11132331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s = -s - 385 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 5*o + 15 = 5*a, 25 = -a - 5*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 - 7*z - 13*z + 10*z - 12*z wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Let x = d - 7. Let s = -1935 + 1934.7. Sort 4, s, x, -0.1 in decreasing order.\nAnswer: 4, -0.1, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 18530179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 + 651*j + 19780. Calculate t(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + -48 + -64 - -84.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 4*p - 10*p**2 - 4*p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45410\/17 + 2672. Let i = 4782 + -162565\/34. Let k = i + p. Which is the second smallest value? (a) 0.4 (b) -5\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.4 (c) 17 (d) 21.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 29*c + 11. What is o(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1756, -5068, -9976, -16480, -24580, -34276?\n\"Answer: -798*r**2 - 918*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b**3 + 0 - 4*b**2 + 0*b**4 + 0*b - 1\/20*b**5. Find a, given that o(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 - (-6 - (-1 - 4) - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 40\/3 - 1\/3*l**2 = 0. What is l?\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729677640.\nAnswer: 2, 3, 5, 1109, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.1 - -0.1. Let a = -5505 - -5505.1. Which is bigger: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + -58. Let z = 95\/2 - s. What is the nearest to -1\/3 in -5, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 31863858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 2*k**2)*(693*k - 172*k**2 - 693*k).\nAnswer: -344*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiideeiiiiid. Give prob of sequence ei.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121122 (base 4) to base 7.\nAnswer: -4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*h - 20, 4*h - 3*o = 2*o + 32. Suppose -2*w + 25 = h*w. Let i(p) = -8 - 1 + 9 + p. What is i(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-5 + (-4*sqrt(315)\/sqrt(7))**2 + -1).\nAnswer: 3574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - s - 2. Let o be (-48)\/15 - 4\/(-20). Let l be q(o). Put 4, -3, l in increasing order.\nAnswer: l, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-7) - 1) + -17 + (0 - -4)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 + 67. Let b = 81 + j. Solve b*n - 15 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4587 + -4583. Solve 4 = t - w, -8*t = -l*t - 3*w - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 1, s: 1, z: 1, l: 1}. What is prob of picking 1 l and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-2)*(-40)\/(-7). Let t be (l\/15 + -1)\/(3 + 1). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) - 1*sqrt(208)))) - sqrt(208))**2 - sqrt(208) - ((sqrt(208) - (sqrt(208) + 0)) + 1)**2.\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-7)*h)\/h*h*h)\/h**5)**(-6)\/(h*h**(-5)*h**(1\/6)*(h*h**(1\/2))**49) assuming h is positive.\nAnswer: h**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -3\/8 in decreasing order.\nAnswer: 0.4, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = n - 4*n - 2*m, 0 = 2*n - 5*m + 4. Sort 3\/5, 9, 2\/5, -5\/4, n.\nAnswer: -5\/4, 2\/5, 3\/5, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**6 + 384*o**3*s**3 + 8687*o**2 + 2*o*s**3 wrt o.\nAnswer: -360*o**3 + 2304*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367710.\nAnswer: 2, 3, 5, 7, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9907.373 times 0.4\nAnswer: 3962.9492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561637039?\nAnswer: 561637039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j**4 + 456*j**3 - 176*j**2 - 1824*j = 0.\nAnswer: -114\/11, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a**(-1)\/a*(a\/(a\/(a\/a**8*a)))\/((a\/((a*a\/((a\/(a**(-2\/5)\/a))\/a)*a*a)\/a)*a)\/a))**15 assuming a is positive.\nAnswer: a**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 43760.17 years?\nAnswer: 43.76017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8358*m**4 + 4798*m**2 + 4*m - 3 wrt m?\nAnswer: 200592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52186375*g**2*l - 3836469*g + 2*l + 3 wrt g.\nAnswer: 104372750*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q**2 - 6*q**4 + 16*q**2 + (-5*q**3 + 2*q**3 + 4*q**3)*(2 - 2*q - 2))*(3 - 3 + 3*q).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-99) + 1 + -2. Let w be (-2)\/(-4) - (-14)\/(-7). Sort 0.5, v, w, 4.\nAnswer: w, v, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/(-28))\/(1\/(-12)). Let m be 16\/(-3)*s\/18. Let n(q) = -6*q**2 + 15*q**2 + 8*q - m*q**2. Give n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/7 - 102*y**3\/7 - 27*y**2 + 102*y\/7 + 192\/7 = 0. What is y?\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13260 divided by 260?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(192) - (sqrt(1300) + -3).\nAnswer: -79*sqrt(13)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssyahffhbsb. Give prob of picking 1 b and 2 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 19 = 5*s - 3, -2*a + 8 = 0. Suppose s = 6*h - h - 25. Calculate the lowest common multiple of h and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192287 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 5*p**2 + p - 63. Let w(m) = -2*m**3 + 4*m**2 + m - 64. Let l(i) = 3*g(i) - 4*w(i). Is l(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 30664 - 6*v + 30664. Let o(x) = 14*x - 12. Let s(r) = r - 1. Let w(g) = -o(g) + 12*s(g). Calculate w(c(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((220\/198)\/((-10)\/(-12)))\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t + 15. Suppose -151 = 45*b - 421. Let c(q) = 8*q - 7. Give b*x(u) + 11*c(u).\nAnswer: -2*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + 1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdxzxlxlxdxlxxsx. Give prob of sequence pls.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p + 865*p = -259*p - 109*p + 4592. Factor 4\/3*q**p + 176*q**2 + 1280\/3*q + 80\/3*q**3 + 1024\/3.\nAnswer: 4*(q + 2)**2*(q + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2*o - 6, -5*j + 3*o = -16. Calculate the common denominator of 314\/(-36) - (j - 4) and 181\/90 - 2\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m - 16*m + 9*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 342 = 3*u, 48*i - 44*i = 3*u + 276. Calculate the least common multiple of i and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4333*g + 34677. Calculate v(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1303 = 5*k, -4*y - 145 = -5*k - 1874. Let z = 431 - y. Solve 0 = 10*x - 11*x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.521499 millimeters to micrometers.\nAnswer: 5521.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**3 - 1\/2*f**4 + 0 + 38*f + 0*f**2 - 11\/20*f**5. Find the third derivative of p(k) wrt k.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1\/5, 5, 6\/5, -1, 135 in increasing order.\nAnswer: -85, -1, 1\/5, 6\/5, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503394183 minus -0.3?\nAnswer: 503394183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 85492.\nAnswer: -37\/42746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 1 - ((-30 - 93) + 71).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) 122 (b) 5 (c) 251.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 3*i + 105, -4*r + 5*i = -243. Suppose 0 = -3*w + 6*w - r. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4143 (base 11) to base 14.\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from {d: 2, m: 5, v: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 5\/3*g**3 + 1\/12*g**4 + 0 + 11\/2*g**2 + 3*g. What is the remainder when 43 is divided by a(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*l + 3189 = 1299 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2 - -1)\/(-9 + 8). Let z(r) be the third derivative of -r**2 - 1\/24*r**4 + 0*r + n + 2\/3*r**3. Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4160843 (base 10) to base 15.\nAnswer: -572c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3275*x = -3295*x - 60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -d - 10, -5*d - 5*t = 29 - 24. Suppose 3*u - 2*w + 1 = -9, 25 = 5*w. Suppose -2*r = d, u = -3*z - 5*r + 2 + 11. Solve -i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 7*a**3\/6 - 28*a**2 - 2*a - 717. Let z = -16 - -24. Let y be o(z). Solve y = 4*b - 3*m - 2, -3*m - 2*m + 20 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 18. Let u = 13 - x. Let j = -0.05 - u. What is j rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 4, -1, 3781, 3 in descending order.\nAnswer: 3781, 4, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2435.7 + 2436. Which is bigger: n or -1.18?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7411015 + 2?\nAnswer: 7411017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8370905?\nAnswer: 5, 1674181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 149 = 9*k, -k + 3*w - 47 + 95 - 35 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s*s*s*s**(-2\/33)*s)\/((s*(s*s\/s**(-2\/19))\/s)\/(((s\/((s\/(s*s\/(s**(-27)\/s)))\/s))\/s)\/s)) assuming s is positive.\nAnswer: s**(36785\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o - 1. Let m(a) = -5*a**3 + 5*a**2 + 11*a + 2. Let f(d) = -4*b(d) - m(d). What is f(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2*(-2)\/10 - (-136530)\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.46 times 26\nAnswer: 63.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 smaller than 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1831365, -1831358, -1831349, -1831338, -1831325, -1831310, -1831293?\nAnswer: -1831274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 8*m - 4. Let r be x(-6). Let y be 6\/9 - r\/(-15). Factor q**y - q + 2*q - 2*q.\nAnswer: q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-14))\/(-10 - 84\/(-12)). Determine c so that -2\/3*c - 10\/21*c**2 - 2\/7 - j*c**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 1172*u**3 + 7284*u**2 - 32292*u = 0. Calculate u.\nAnswer: -9, 0, 3, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1300 - -1327. Is 23 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 2*v - 8*v**2 + 7*v**2. Let n(m) = -127*m**2 + 263*m**2 - 133*m**2. Calculate o(n(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {e: 3, u: 3, q: 1, x: 6, r: 6, c: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 14 - 89 = d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 16. Let a be k(-8). Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 234, 362, 482, 588?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21566*t**4 + 24083?\nAnswer: -86264*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -814*((-2)\/10)\/(24\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(1 + 2 + 5)*(0 + 0 - 2)*((3 - 2 + 1)*(-3*v - 2*v + 4*v) - 2 - v + 2) to m*v + d and give m.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1686\nAnswer: -2\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23485 + 23485.01. Sort 4, z, -20 in ascending order.\nAnswer: -20, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 636592?\nAnswer: 1909776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {x: 1, g: 2, w: 5, m: 3, z: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 289, 2\/7, 1, 0, -1\/2 in increasing order.\nAnswer: -1\/2, -0.4, 0, 2\/7, 1, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:27 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s**5 + 20757*s**4 + 208098*s**3 + 223629*s**2 + 10110*s - 26136 = 0. What is s?\nAnswer: -484, -9, -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - 4784486?\nAnswer: -4784436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*m**2*y**2 + 391*l*m**2*y + 2*l*m**2 - 3*l*y**2 + 299*m**2*y**2 - 29*m wrt y.\nAnswer: -2*l*m**2 - 6*l + 598*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, w: 2}. Give prob of picking 4 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*v + 8 = 0, -2*v + 20 - 28 = 15*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73622 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -56+1.333411815\nAnswer: -54.666588185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -66.9, -3\/8, -20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 34 in ascending order.\nAnswer: 5, 17, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2 + 9358116*q - 7297861255788 = 0.\nAnswer: 1559686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4 + 352*r - 674 with respect to r.\nAnswer: 4*r**3 + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764 (base 14) in base 16?\nAnswer: 3b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 117348*u.\nAnswer: -u*(u - 234696)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let r be (6\/7)\/(t\/(-28)). Is 1956\/r*(-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474592 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83416, 333687, 750796, 1334737, 2085504, 3003091?\n\"Answer: -d**3 + 83425*d**2 + 3*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*f + 3 = -f, 3*x + 8 = 2*f. Let n be 6*x\/27*-3. Suppose -122*h = -1680 + 94. Solve n*b = -1 + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/2*(-6 + 0). Suppose a - 15 = 5*n, n = 2*a - 4*n - 15. Solve a = s - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) -10 (c) -21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 10*n + 12. Let w be r(-9). Suppose 3*x + j = -2, w*j + 28 - 11 = 2*x. What is the tens digit of x - (-20)\/(-2)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*q - 243*q = -260*q + 27255 for q.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -140, -141, -150, -173, -216?\n\"Answer: -w**3 + 2*w**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5762 and 5418.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3172)\/60 - (0 - 6\/(-45)). Suppose 5*o = -2*f - 174, 4*f = 3*o - 23 - 273. Let l = d - f. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 20*x**3 - 88*x**2 - 64*x = 0. Calculate x.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 628 + 9838 = 0. Suppose 3*l - 212 - 892 = b, -b = -5*l + h. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 2*g - 2. Let v(c) = 6*c**2 - 7*c - 7. Let r(n) = 9*n**3 + 2*n**3 - 4*n**3. Let u be r(1). Give u*l(i) - 2*v(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1204 + 638 = 3*k. Let l = k - 14. Suppose -5*n - l = -n. What is n rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x*x**(-1\/2)*x))\/(x*x\/(x\/(x**34\/x))))\/((x*x\/(x**(-5)*x))\/(x*x*x**(-33)\/x)) assuming x is positive.\nAnswer: x**(-149\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 5*o - o)*(-4 - 6 + 4)*(-4 - 2 - 3) in the form x*o + v and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*r - 5*o - 8, -2*o = -5*r + 83. Put -0.3, r, -2\/15 in increasing order.\nAnswer: -0.3, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-14))\/(72\/14 + -6). Let g(u) be the first derivative of 4*u - l*u**3 - u**2 - 3. Find c such that g(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39609638*s**6 - 101474130*s**2?\nAnswer: -4753156560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 6*r**2 - 6*r - 6. Let h(f) = 10 + f + 4*f**3 + 13*f + 1 - 3*f + 11*f**2. Determine 6*h(d) + 11*p(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 11, 1\/7, -5, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-411074*f**4 + 205533*f**4 + 56*f**3 - 28 + 205543*f**4)*(0 + 1 + 1).\nAnswer: 4*f**4 + 112*f**3 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rrrrwrwraawrwr?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0)*4 + 0 + -3.\nAnswer: -3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/2 (c) -2\/5 (d) 2\/7 (e) 73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.089\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8662 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 165, -2\/11, -0.227.\nAnswer: -0.227, -2\/11, 1\/2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, 0.01, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 2*b + b. Let i(d) be the second derivative of d**3\/6 - d**2\/2 - 2*d. Let t(x) = 4*x - 3. Let y(a) = 3*i(a) - t(a). Calculate k(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/1622, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*j**4 - 80*j**3 + 120*j**2 + 320*j + 80 = 0. What is j?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*u - 42*u - 2*u**3 + 3*u**3 in the form m*u + b*u**3 + j*u**2 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 + 121100022200?\nAnswer: 121100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7052 + 12930. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/6? (a) 30\/7 (b) -1 (c) 0 (d) 0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1953*i**4 - 770 wrt i?\nAnswer: -7812*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -12. Suppose -6*s = -4*s - f. Suppose -1 = s*d - 56. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1282 - 1017*d + 1282)*(-4 + 4 + d**4).\nAnswer: -1017*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -19*w**9\/504 - w**7\/105 - 3*w**5\/20 - w**4\/24 - 53*w**2. Find the third derivative of v(u) wrt u.\nAnswer: -2280*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.101 * -161.6\nAnswer: 16.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:25 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 51*b\/5 + 52\/5.\nAnswer: -(b - 52)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 2 - 52 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkku when four letters picked without replacement from {b: 8, k: 4, u: 2}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/13? (a) -3 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*q - 34 = 1715*q - 3414*q - 5*j, 4*q = -4*j + 8 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 280 + -49. List the prime factors of w.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 + 106605*c**2\/4 + 319896*c + 959769.\nAnswer: -3*(c - 35547)*(c + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 + 3*j**2)*(-15*j**2 + 10 - 16 + 9).\nAnswer: 15*j**4 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3, -6*u = -4*r - u + 21. Suppose -w = -5*c + 47, 4*c - 2*c = -2*w + 26. What is the common denominator of -4 + 22*r\/c and 35\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6*3)\/(6\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-4*sqrt(121)*1 - sqrt(121)) + sqrt(121)))\/(sqrt(176)*-1 + sqrt(11) + sqrt(11) + sqrt(88)\/(1*sqrt(8))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001562 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6993787016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -10111000100011100?\nAnswer: -10111000100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7bb0 - 50c?\nAnswer: -83bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = -3*c + 31, 7 = 3*a - c. Suppose -6*q = -5*q - 3. Suppose -a = -5*n + q*n. What is the greatest common divisor of n and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886859330?\nAnswer: 2, 5, 7, 1809917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from {u: 2, s: 4, m: 2, k: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 + 384.592897401.\nAnswer: 384.782897401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -24*c**2 + 945*c + 5943. What is j(-6)?\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x - 1. Let z(g) = g - 4. Let r be z(8). Suppose -2*w - 24 = -5*w - 3*d, -27 = -r*w - 3*d. Calculate h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38.7 + -42. Let j = -0.3 - q. What is the biggest value in 0.5, -3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -0.04. Let v = -4054 + 3848.3. Let m = v + 206. Sort -1, m, b in descending order.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89256805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1\/((-56)\/(-58448)) - (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 + 123*g**4 - 2474*g**3 + 9750*g**2 - 4581*g - 16929 = 0. Calculate g.\nAnswer: -1, 3, 19, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3662973102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 91, -18, -3, 4 in decreasing order.\nAnswer: 91, 4, -3, -18, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21286*s**3 + 21286*s**3 + 2*s**4 + 14*s + (11*s - 10 + 10)*((0 + 0 - 2*s)*(s - s + 2*s**2) + 2*s**3 + 2*s - 2*s).\nAnswer: -20*s**4 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -101*n - 1. Let z be j(-4). Let v = 407 + -316. Suppose -5*q = 3*m - 2*m - z, q - 5*m = v. Does 29 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.746 - -2.906. Which is bigger: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66822.\nAnswer: 2, 3, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1540 = 2*u. Does 28 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 11 + 55 - 38.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/11)\/l**6)\/(l**(-2\/3)*l*l**(-2\/13)*l*l))\/((l**(-3)*l**3)\/(l\/l**7*l*l**(-1\/2))) assuming l is positive.\nAnswer: l**(-11659\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 22. Suppose -i - 4*i + 5 = -5*a, 0 = 4*i + 5*a - 40. Let r be p(i). Factor 5*n**3 - n**3 - 37*n**2 + r*n + 55*n**2 - n**3.\nAnswer: 3*n*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - d**3 + 279 + 2*d - 4*d**2 - 273. Suppose 0*v - 8 = -4*v. Suppose -16 = 3*y - 0*k - v*k, -2*y - 4*k = 0. What is x(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 0)*6\/8. Let b be 4\/14 - (-40)\/7. Suppose -b*d = -l*d - 81. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from briooibboiii.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*1521067\nAnswer: 6084268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.042 (b) -1\/3 (c) 0 (d) -5\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8677*u**3 + 4313*u**3 + 4272*u**3.\nAnswer: -92*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -35, -43, -63, -101, -163?\n\"Answer: -n**3 + 3*n**2 - 4*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14149385 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/80)\/(9\/(-12))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 372 + 1758. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(-t + 3*t - t + (0 - 2 + 0)*(4 - 4 - 2*t) - 71 + 173 + t - 89) as q*t + i and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**4 - j**3 - 17*j**2 - 9*j + 13. Let b(c) = -4*c**4 + 2*c**3 + 18*c**2 + 10*c - 14. Let z(v) = -5*b(v) - 6*d(v). Factor z(p).\nAnswer: -4*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i\/i**(2\/3)*i**(-7)*i*i**7*i*i)\/((i**(-1))**(7\/5))**(14\/9) assuming i is positive.\nAnswer: i**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/42 + (20\/(-6))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 19*f = 96. Suppose -f*l + 14*l = 10. What is the nearest to -2\/7 in 7, -1\/6, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -6. Sort -1, u, 4 in descending order.\nAnswer: 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j = 0. Suppose j = -2*z - y + 72, -z + 6*y + 43 = 3*y. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.32001101 - -25.32. Round l to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 6930.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10221333333 (base 4) in base 7?\nAnswer: -13242423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 3*z)*(13*z + 4 - 3 + 0).\nAnswer: 26*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1221925 and 0.4?\nAnswer: 1221925.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -37*v + 39. Suppose 38*c - 88 = 46*c. What is the hundreds digit of y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1)**12*(i\/i**(-1\/8))\/i**(2\/23))**(3\/8))**(5\/4) assuming i is positive.\nAnswer: i**(35985\/5888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 15. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1224*g**3 - 3*g**2 - 4*g + 7. Let z be k(7). Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esojwwj. What is prob of sequence woe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlmylml. What is prob of picking 1 y and 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 8*p**3 + 2*p**3 + 4*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 62703648.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -1652041?\nAnswer: 20\/1652041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 1006*v + 58424.\nAnswer: 2*(v - 436)*(v - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(87\/4698)\/((-5)\/3).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 1185, 1798, 2433, 3096?\nAnswer: 3793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -33, 0, -5, 8 in descending order.\nAnswer: 8, 0, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 825 + -1 + (-120)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(128\/576 + (-37)\/(-9)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101014 - -6040?\nAnswer: -61644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, q: 12, g: 3}. Give prob of picking 3 j and 1 q.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -q + n + 51, 0 = 5*n + 10. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18456*j**3 - 8*j**2 + 6*j + 15. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725050*y**2 + 270324.\nAnswer: -1450100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 l, and 1 h when four letters picked without replacement from xllhyx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27074798 and 526.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995369?\nAnswer: 3, 665123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 3. Let n = x - -3. Suppose -z = -u + n*u - 484, 0 = 2*u + 5*z - 189. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygyygylgggggygy. Give prob of picking 4 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y - 37. Let g be p(4). Suppose g - 5 = -h. Find the common denominator of 17\/16 and ((1 - h)\/(-18))\/((-9)\/(-1017)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 686\/9 - 76. Let l = -0.544 - 0.456. What is the closest to l in c, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4328937 is divided by 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 - f**3 + (f - 4*f + f)*(3*f**2 - 2*f**2 - 5*f**2 + (-1 + 1 + 2*f)*(-3*f - 2*f + 6*f) + (30 + 81 + 50)*(-2*f**2 + 2*f**2 + f**2)).\nAnswer: -319*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/12 + h**3\/6 + 15*h**2 + 34. Let n(g) be the second derivative of l(g). Give n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131130219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 1.21 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 201100?\nAnswer: 201032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 q when four letters picked without replacement from nqqqqnnqnqq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869891 is divided by 1152?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 5*y + 76. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1076 - -1880. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**2 - j + 1. What is w(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 9. Let f(t) = -t**2 + 3*t - 1. Let w be f(u). Is w <= 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139*-136.\nAnswer: 18904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1 - sqrt(1900))**2 + sqrt(19) + (sqrt(114) - sqrt(114)*-2 - sqrt(114))\/sqrt(6).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.23 - 3.23. Which is the closest to -10? (a) x (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -2*p**3 + p**2 + 2*p - 8. Let k(j) = -7*j**2 + 3*j + 3. Let q(h) = 2*k(h) - 3*u(h). Factor q(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103262264 divided by -2257.\nAnswer: -45752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, -1, -24, -10, 7.\nAnswer: -25, -24, -10, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183288 and 4200?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25239 divided by 9.\nAnswer: -8413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -190\/3. Let j be 47\/((-1128)\/(-96))*(-3)\/(-78). What is the third smallest value in m, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41055571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965 - -1523. Let d = r + -563.09. Let x = 5.09000429 + d. What is x rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109017 or 109028?\nAnswer: 109017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 21. Suppose -w*y + y - 75 = 0. Let d = 40 + y. What is the highest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001847747 to 7 dps.\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0408908303 and -0.4.\nAnswer: -0.01635633212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.009941 + -1.01. What is g rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 12) to base 4\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 36 + 5*f**3 + 30 - 16*f**3)*(44 - 2*f - 44)*(-1 - 2 - 1).\nAnswer: -88*f**4 + 88*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2 - 27124*s + 1 + 1 + 27108*s. Let k(h) = 57*h. What is n(k(t))?\nAnswer: -912*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(2\/59))**34 assuming m is positive.\nAnswer: m**(68\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g, -4*l - 509 = -4*g - 157. Let w = -30 - l. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = 71*h - 362925. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 11. Suppose h = 4*b + 1. Is 7 a factor of 34\/2 - (1 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -218, -46, -6, -19 in decreasing order.\nAnswer: 1, -2, -6, -19, -46, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 3*b**5\/5 + 93*b**4\/2 + 1260*b**3 + 11907*b**2 - 27783*b - 45. Solve v(d) = 0 for d.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2072573, -4145148, -6217723?\nAnswer: -8290298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70140269.\nAnswer: 1549, 45281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9*(-2)\/558)\/((-2)\/4). Which is the nearest to z? (a) -3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390582 > 2390622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 49*k + 1142. Give y(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2148937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -46. Let l be -3*c\/(-3)*2. What is the remainder when 92 is divided by l\/(-12) - (-95)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 5*p + 572. Let j(i) = 69*i**2 + 2*i - 5. Let f be j(-4). Suppose 9*z - f = p. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1304 and -93\/22.\nAnswer: 14344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/7)*l\/(l\/(l**(-3)*l*l)))\/(l**(-2\/21)\/l*l**(-23)) assuming l is positive.\nAnswer: l**(500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 - 190. Let n be (-2)\/(-20) - (-46)\/h. Factor 0 - n*x + 3\/7*x**3 + 0*x**2.\nAnswer: 3*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -798 in decreasing order.\nAnswer: 1, -26, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-5 + 0 + sqrt(1331))*1)**2 - (-2*sqrt(1331) + 1 + -6*(sqrt(1331) + 0))**2).\nAnswer: -83829 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 88. Let k = s - -7. Suppose -2*o - 12 = -4*o. Calculate the greatest common factor of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 17. Let p be 48\/216*((-55)\/10 + (-58)\/(-4)). Put -7, m, p in ascending order.\nAnswer: -7, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oim when three letters picked without replacement from bjmoiow.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 304808 - 1.313503\nAnswer: 304806.686497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m - 4*m)*(2 - 1 - 3) - 15 + 16 + 2*m + m.\nAnswer: 19*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 1, -0.5, -23\/6 in decreasing order.\nAnswer: 1, -0.5, -1.6, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -1.3. Suppose q + 8 = -g, -g - 1434*q = -1435*q - 8. What is the fourth biggest value in -5\/8, g, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 29 = -4*c - 4*t, 11 = 3*c + 4*t. Let b be (-5 + c)*-1 - -43. Suppose b = 5*x - 3*z, 5*x - 2*z = 6*x. Solve 0 = 3*v - v + x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88274 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 t(v) be the second derivative of 7*v**3\/6 + 18*v - 6. Let d(b) = 9*b**2. Let z(u) = -22*u**2. Let f(j) = 12*d(j) + 5*z(j). Calculate t(f(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 11. Let g(r) be the first derivative of -r**5\/60 + 5*r**3 + 7. Let n(c) be the third derivative of g(c). Calculate a(n(y)).\nAnswer: -6*y - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 5) in base 11?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391463 divided by 391463?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -0.020591.\nAnswer: 0.00041182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24699114 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 100*v - 5. Let r(l) = -l. Let k(d) = c(d) - 6*r(d). Does 23 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*j + 5 - 13, -a - 2*j - 1 = 0. Let n be (-2)\/3*1\/((-13)\/(-156)). Let r(u) = -u**2 + 2. Let p be r(-2). Put a, p, n in decreasing order.\nAnswer: p, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/16 and (-1)\/(10\/(-74))*(-57)\/38.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1104 and 22.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose k = -0*k - 3*c, 2*k = c + 7. Suppose 381 = k*p + n, -x*n - 127 = -p - n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (6 + (-3 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -43, -134, -313, -610?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-10) - 672\/(-35))*1. Suppose 13*o + 58 = m. Which is the second smallest value? (a) -90 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 3*s**3 - s - 4 - 6*s - 6*s - 2*s**2 as r*s**3 + l*s + j*s**2 + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + ((sqrt(1008) - (sqrt(1008) + -1) - sqrt(1008))*-6)**2 + 1 - (5*(sqrt(7) - sqrt(7)*-1) + -6*((sqrt(28)\/sqrt(4) - sqrt(7)) + sqrt(7))).\nAnswer: -856*sqrt(7) + 36325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10702.948 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 18*g - 16. Let n be (g - 0)*1 + 12. Suppose -n*y = -3*y - 150. Calculate the highest common divisor of 60 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 8641, -5, 2.\nAnswer: -5, 2, 10, 8641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2\/2 - 37320*q - 4368950 = 0 for q.\nAnswer: -14810, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x**2 + 58*x + 291. Let t be g(-5). Let r = 142 + t. Calculate the highest common divisor of r and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 31 = -5*c, 14*c - 25 = 5*v + 11*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s + 177995 = 36*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -402*h**2 - 59 - 364*h**2 + 1130*h**2 - 406*h**2 in the form c*h + i + f*h**2 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*q + 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1))\/o)**32\/(o**4\/o*o*o**(-4)) assuming o is positive.\nAnswer: o**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-143*l + 251*l - 106*l + 251)*(4*l - l - l + (4 + 2*l - 4)*(3 + 2 - 4) + 0*l + 2*l - l + 3*l + 2*l - 3*l) to x*l + z + h*l**2 and give x.\nAnswer: 1757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*b + 8, -47 = -17*n + 13*n - 9*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 - -10. Is t a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59325*-1352\nAnswer: 80207400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -14*y + z - 8, 0 = -5*y - z + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 304 + 452 + 34 = -280 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 21*i + 10*i + 7 + 0*i**2 + 5*i - 17*i. Give n(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*m - 3 + 1 to the form f*m + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Let v be (2044\/4599)\/(((-3)\/9)\/1). What is the closest to -16 in v, 2\/3, 0.1, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489797147 to the nearest integer?\nAnswer: 22131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -7390\nAnswer: 7\/3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 41*g + 136 = 0. Sort -0.4, 1\/4, 0, g in descending order.\nAnswer: 1\/4, 0, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 231 + 3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*v + 9*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 18*w**2 + 60*w - 18. Calculate d(-12).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 221\/14 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {k: 2, b: 6, u: 7}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*m = -53, 5*n - 2*m = -m + 62. Suppose -7*r = -5*r - 92. Let j = r - n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7*u + 15 + 2 = 0, -2*c - 4*u - 14 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-4 - 16) + (-9 - 1) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*o**4 - 1020*o**3 - 3*o + 344212 wrt o?\nAnswer: -24*o**3 - 3060*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118 - 2*b + 71*b**2 - 16*b - 117 - 2*b wrt b?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = 4*o, 2*l + 18 = 4. What is the lowest common multiple of o and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = -5*l - 8, 4 = j - l. Suppose -j*m - 2*x = 0, -3*x = -6*m + 2*m. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = u, 3*y + 6 - 20 = -u. Solve 4*r + 3*n - y*n + 20 = 0, -5*n = 2*r - 32 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/3 + 397*y**4 - 9413*y**3\/3 - 60851*y**2\/3 + 204526*y - 927472\/3 = 0. Calculate y.\nAnswer: -8, 2, 7, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-459)\/(-34))\/(-9) + 743\/2 and 74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*s**2 - 1 + 4 - 1 as x*s + q + n*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + 2*l**2 - 3*l**2)*(137 + 67*l - 140 + 26*l) to t + j*l**2 + b*l**3 + a*l and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 10274.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1097.\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f**3 - 3220965*f**2 - 1 + 3220965*f**2. Let q(j) = j**2 - j - 1. Let c be q(2). Let i be w(c). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2612051 is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-10)\/16*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6614*r - 471 + 471 + 4*r**2 - 3*r**2 - 6844*r - 3*r**2.\nAnswer: -2*r**2 - 230*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-45))\/(45\/(-81)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 10) to base 16\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437258.\nAnswer: 2, 218629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 842 - 152*y - 55*y - 419 - 416 + 54*y as s + g*y and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qebq when four letters picked without replacement from {k: 1, b: 1, q: 2, e: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6825 - 6835 + 199*o + 13660 + 44*o.\nAnswer: 243*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4188 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 115 - 4*p - 7*p + p**2)*((-1 + 1 + 2*p**2)*(2*p + 0*p + p) + 0*p**3 - 5*p**3 + 3*p**3).\nAnswer: 4*p**5 - 44*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 1, c: 3, o: 6, f: 2, m: 1}. Give prob of picking 2 q, 1 m, and 1 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 + 8*x**3 + 12*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658577 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 0.07\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257814609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1997 or -3262?\nAnswer: -3262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 22 = -14. Let x(b) = b + 1. Let i be x(11). Let u = i + k. Solve -5*s + 5 = 4*m, -u = -3*m + 2*s - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i + 15. Determine f(10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**2 - 218*q + 168.\nAnswer: -2*(q + 28)*(4*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (0 - -1 - -18) + (4 - 16) + 4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.119 times 393.401\nAnswer: 46.814719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 3*c**2 + c + 2. Let w be l(-1). Sort -4, -5, w, -3 in ascending order.\nAnswer: -5, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -37. What is the closest to -1\/2 in n, 1\/2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153077.547 and 67?\nAnswer: 153144.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-141)\/(-282))\/(3 + 55\/(-4))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p - 2. Let n(i) = 23*i. Let t(c) = 8*c. Let h(z) = -6*n(z) + 17*t(z). Give h(q(k)).\nAnswer: 26*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 10*w - 12. Let k be i(12). What is the second derivative of -k*p - 11*p**3 - 35 + 35 wrt p?\nAnswer: -66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*o + 67*o = -95469. List the prime factors of o.\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48257 is divided by 85?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n)*(0 + n + 0) + 1135*n**2 + 1236*n**2 - 1898*n**2.\nAnswer: 475*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76.99999963 - 77. Round f to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n - 15. Let c be d(-10). Let g be ((c\/(-10))\/((-6)\/8))\/1. Let m be ((-10)\/(-25))\/((-4)\/g). Which is greater: 1\/74 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013616983 to six decimal places.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88471 - 0?\nAnswer: -88471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*x - 37 = 0, -12 = 35*w - 36*w - 2*x. Calculate the remainder when (157 + 1)\/2 - 1 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3818 is divided by 3674.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -98574*u + 18. Let f be g(7). Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14\/a*a**(1\/5)*a**(-14)*a\/(a*a\/(a\/(a*a\/a**(-9))*a)) assuming a is positive.\nAnswer: a**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.335 + -345.621\nAnswer: -345.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -25, -36, -47?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3801*i = -4393*i + 32560 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/14)\/((-80)\/560). Let m(r) = -45*r + 229. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 860)*(-6)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 16*s - 3. Let x(k) = -k**2 + k - 1. Give -l(n) + x(n).\nAnswer: n**2 - 15*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -1969*v + 1948*v. Solve 0 = 4*h - b - 3, h = 4*b + v + 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315 + 2853. What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - f + 69, 2*p + 0*f = -3*f + 37. Let b be (0 + p)\/(4\/(-4)). Let d = b - -16. Which is bigger: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 247768? (a) 0 (b) 305 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6767 and 4012094?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334048 divided by 20878.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 3*d**2 - 4*d. Let z(c) = 5*c**2 - 7*c - 3*c**3 - 3*c**3 + 2*c**3. Let n be -6 + 3 + 15\/(-3). Let u be 6\/n*(0 + 4). What is u*z(w) + 5*x(w)?\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10550 - 5131540?\nAnswer: -5142530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - 1210015?\nAnswer: -1210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(20\/150). Let m be 24\/l - (-15)\/(-5). Let k be 2\/5 - (-13)\/(-45). Sort m, -3\/4, k.\nAnswer: -3\/4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361777363 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**4\/2 - 2*p**3\/3 - p**2 - p - 2. Let n be g(-1). Suppose 7 = -n*m - 3. Which is smaller: -4\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13542521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5545\/15 - (1\/(-3))\/1. Suppose y = 4*f - y - g, 5*f + 2*y = 467. Suppose -7*j = -f - 103. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4) + 0)*-6. Suppose -8 = -y - r*z, y + 3*y - 32 = 2*z. Let o be (-27)\/5 + y\/20. Let u(g) = g**3 + 6*g**2 + 6*g + 1. Determine u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8791200 - -8791199.6000079. Let n = x + 0.4. What is n rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13107798 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 - 32*d**2 + 58 - 108 + 50 + 17*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2109 - -0.4109. Suppose o + o - 10 = 0. Which is the third smallest value? (a) p (b) 2\/19 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(4 + ((-2178)\/55)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 - 2*c**2 + 6*c**2)*(-1214*c + 272 - 390 + 112) as q + a*c**2 + k*c**3 + f*c and give k.\nAnswer: -2428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 223, 278, 369, 502, 683?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 10) to base 4\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)\/((-1)\/(-5)). Suppose 55 = a - 4*s + 2*s, -v*a + 223 = 3*s. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1*c\/(c**10*c*c))\/(c**(-2)\/c)**(2\/193) assuming c is positive.\nAnswer: c**(-2117\/193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3407515004 + 11*l**2 + 3407515004.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**4\/k*k)**(-4\/5)*(k*k\/k**1)**(-5) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/3 - 199*n**2\/3 - 2512*n\/3 - 4220\/3 = 0. What is n?\nAnswer: -10, -2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*x + 696*x - 50 + 57 = -5*m - 142, -4*m - 39 = -m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8027, 16052, 24077, 32102, 40127?\n\"Answer: 8025*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from vvbbnvnvvvvvv?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202013 - 251?\nAnswer: -202304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*g**3 + g**2 + 5*g + 2049566?\nAnswer: -213*g**2 + 2*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12)\/(-9) - -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2909653 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 2*d - 174 = 0, 3*g = -4*d + 256. Let m(q) = q**3 - 2*q**2 - 2. Let j be m(2). List the prime factors of ((-1)\/j)\/(2\/g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p + 10. Let x be w(7). What is the units digit of ((-174)\/(-9))\/(x\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -119*m + 7. Let x be n(5). Let u = -95 - x. Let y = -200 + u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 + 1. Let m(b) = 4*b**2. Determine 15*m(n) - 6*v(n).\nAnswer: 12*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxe when three letters picked without replacement from {e: 4, x: 1, f: 3, d: 7, o: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16478, 16494, 16538, 16622, 16758, 16958, 17234, 17598?\n\"Answer: 2*o**3 + 2*o**2 - 4*o + 16478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:06 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -981, -1965, -2949, -3933?\n\"Answer: -984*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*x**2 + 26 wrt x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514*-1.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(1 + 5\/(-3)). Solve -2*y**4 - y**m + 8*y**4 - 6*y**3 - 2*y**5 + 3*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.66 less than -0.8?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19082 and 34874?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370692?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a - 9. Let g = 112 - 142. Let c be (4\/g)\/((81\/(-15))\/a). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0353 and -118140.\nAnswer: -118139.9647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 179*c + 177*c + 170*c + 1 + 182*c - 678*c. Let q(n) = -60*n - 2. Give 11*i(x) + 6*q(x).\nAnswer: -30*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 2*q**2)*(-1159 + 6*q + 1159).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1173 divided by -391.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*k**5 - 2*k**4 - 7*k**3 + 2*k**2 - k + 28795 wrt k?\nAnswer: 4740*k**2 - 48*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9658815 is divided by 527.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4 + 3265*d + 1 - 78*d to a + v*d and give v.\nAnswer: 3187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326.5 - 327. Let j = 49 + -46. Sort -0.04, -0.3, x, j in descending order.\nAnswer: j, -0.04, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*1)\/(sqrt(7)*2*-1))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4321 (base 5) to base 4\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458217815.\nAnswer: 3, 5, 67, 1450963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-4 - 0)*-4. Let q = 28 - a. What is the remainder when (-18389)\/(-407) - 8\/44 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-352)\/15)\/4 + 55\/11. Let m = l + 23\/15. Which is the third biggest value? (a) -1\/3 (b) -22 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/3 + 21035*r\/3.\nAnswer: 5*r*(r + 4207)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*s - 6*s + 3516 = 13149 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 733 - -52. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.46874l in millilitres?\nAnswer: 13468.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 + 310. Suppose -l - 4*t = 113, o*l + t - 50 = -457. Which is the smallest value? (a) 2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14428.32 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/15)\/((-40)\/2610) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -11*r + 238 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/3 - 14*o\/3 + 95\/3 = 0. What is o?\nAnswer: -19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59\/19 - -983\/228. Calculate the common denominator of n and -10 + 25305\/2550 + (-4)\/(-10).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-15 - -10 - (-5 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498458*v + 1498547*v = 2314 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j = 34*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*d - 3*t - 5, 4*d - 11 = 5*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4702269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + 0.1. Let d = y + 0.15. Let b = -0.06000088 + d. What is b rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.088 + -4.088. Let x = 13 - 15. Which is the third biggest value? (a) -1 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -21*p**3 - 2*p**2 + 2. Calculate c(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*18\/(-285)*155\/(-279)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = 25. Let d = -0.1 + 0. Let h = -7 - -6.7. Which is the closest to d? (a) x (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3516?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-3.6\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*g - 78 = 2*g, -3*x = g - 117. Let n = x - -70. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110001111001111100 (base 2) to base 3\nAnswer: 101101101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1456 and 127\/18.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.172 greater than -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 11. What are the prime factors of 1\/(-2) + (-25)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13\/6)\/(h\/h**(-5\/2)) assuming h is positive.\nAnswer: h**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, m: 8, f: 2, v: 1, q: 3}. Give prob of picking 1 m, 1 q, and 1 d.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:00 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.1 and -22.5.\nAnswer: -182.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075*h**2 + 1069*h**2 - 3194*h**2 + 1074*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - u)*(-2377*u**2 + 4862*u**2 + u - 2395*u**2 - 2).\nAnswer: 90*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**3 + 15*u**2 + u - 11. Let x be y(6). Suppose 4*r - 3 - 5 = 0. Suppose -949 = -r*z + x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 3, r: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133196112 - 0.3?\nAnswer: -0.166803888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*w + 50, -d + 20 + 15 = -4*w. Solve -d = -4*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:36 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8147395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109770 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 + g**5\/20 + g**4\/24 + 2*g**3\/3 + 18*g**2 + 27*g. What is m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -445 and -1.8.\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 30. Let k be ((-20)\/(-2) - 0) + (3 - 1). Let l = k - f. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2030*v - 97 + 47 + 50 - 821*v.\nAnswer: -2851*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -17\/3*s**3 - 1\/21*s**7 + 1\/4*s**4 + 0*s**5 + 0*s**6 + 0 + 0*s**2 + 24*s. Find the second derivative of z(q) wrt q.\nAnswer: -40*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -139, -58, 165, 608, 1349, 2466, 4037, 6140?\n\"Answer: 13*z**3 - 7*z**2 + 11*z - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-11 - (0 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34690, 69372, 104066, 138772, 173490?\n\"Answer: 6*g**2 + 34664*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234 - 3*p - 4*p - 5*p + 13*p to the form t*p + d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ca - -67?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -212*a - 17. Does 40 divide h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 95 = -9*o - 8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d - 94. Let z be u(0). Let n = -94 - z. Solve n = -i - 5, 4*p + 5*i = 6*p - 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 18 - 4. Let v(t) = -2*t**2 + 27*t + 2. Let l be v(k). Sort 3, -4, l.\nAnswer: l, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = -7. Let p be 45\/18 - 1\/(-2). Suppose -p*d = -4 - 11. Solve d*u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 20 = -18. What is the common denominator of (74\/(-10))\/(12\/30) and (1 + (-2 - 14))*z\/32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 593\/138 - -11\/92. Calculate the common denominator of v and 45\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.3 * -2543.\nAnswer: 117740.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 2 + 3)**2.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 2*i = 622, -3*h + 2*i = -1870. Suppose h*n = 622*n + 296. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 17. Suppose 2*v - p - k = 0, -11 = -v - v - 5*p. Suppose 0*f - 1\/4*f**2 + 0 - 3\/4*f**v - 1\/4*f**5 - 3\/4*f**4 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 8*c**2 + 5*c + 11. Let v be o(9). Let f = -5 - v. What is the remainder when 57 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 10*i + 3163. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + -49 + 3525\/(-90)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + -21 + 23 - -52) + -101?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2629, -4, 1.5?\nAnswer: 0.2629","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -271377 divided by -529?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/24 + 4*i**3\/3 + i**2 + 2*i. Let h(d) be the first derivative of u(d). What is the units digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:52 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3464, 13868, 31208, 55484, 86696, 124844?\nAnswer: 169928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + -89 + 84.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 142 = -118 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -21, -2*w + 58 = 19*c - 21*c. Suppose 13 = 5*o + f, 3*o = 4*o - 5*f - 13. What is the lowest common multiple of w and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1965 + 1965 + 3465*i**4 + (-i - i**2 + i)*(-2*i**2 + 5*i**2 - 2*i**2) + 0 + 0 - i**4.\nAnswer: 3463*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013232213 + -32102?\nAnswer: -10013330321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*x + 179*x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84999 is divided by 3189?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:37 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*p - 8 - 1, p - r + 6 = 0. Let a(f) = -f**3 - 8*f**2 - 8*f + 9. Calculate the smallest common multiple of a(-7) and 17 + 0\/(-3) + p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433134 (base 5) to base 12.\nAnswer: 868a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -300*o**3 - 319671660*o**2 - 63934323*o - 3196716.\nAnswer: -3*(o + 1065572)*(10*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 20*h**2 + 30*h + 254. What is j(-18)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1667233 by -1.\nAnswer: -1667233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 56 + 11 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514 - -522 - ((-1 - -2) + -31).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192922, 385828, 578718, 771592, 964450, 1157292, 1350118?\nAnswer: 1542928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -16*g**2 - 65 - 32*g**3 - 4*g**5 - 20*g**4 + 65 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139\/90 + -11\/10. Let k = -0.5 - -1. Let c = -0.1 + 0.2. Put k, j, c in decreasing order.\nAnswer: k, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248179045 and 15674466.\nAnswer: 1489074270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012269522 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 40. Suppose y = -y + a. Suppose 9 = 2*d + d - 2*o, -y*d = -3*o - 16. Sort -4, 3, d.\nAnswer: -4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*28\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5704 + 10299. Suppose 0 = 3*w + 2*w - t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/3 + 35154*k**3 - 463514262*k**2 + 6949444978*k\/3 + 2780031076 = 0?\nAnswer: -1, 6, 26363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384 + 390. What is the third smallest value in w, -1\/4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, c: 2, b: 2, d: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -266*j - 99. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -174 in increasing order.\nAnswer: -174, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - s**2 + 3*s + 3. Let h be q(-2). Suppose -x - 3*w = -9, 0*x + 4*w - 14 = -2*x. Solve 4*y - x = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/349964256 and -115\/18?\nAnswer: 1049892768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/3517 - -3525\/14068. What is the fourth smallest value in f, 0, -0.42, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -31. Suppose -5 = j - r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144203203 (base 5) in base 13?\nAnswer: -2106ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42473245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.84499936174 + -33.845. What is v rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-27)*(-1 + -17)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2055 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -2*a**3\/3 - 4*a**2 - 3*a. Let h be c(-7). Suppose h = 5*k - 25. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211102201 (base 3) in base 5?\nAnswer: 3240340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in minutes?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -8\/149 (c) 14 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -11.6. Do -0.1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.4. Let h = -70.9 + g. Let z = 71.101 + h. What is z rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 317505.4cm?\nAnswer: 3175054000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612.736 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 312, 0.2, 2\/13?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -68?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g, -h + 137*g = 134*g + 16. What is the highest common divisor of 2185 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:10 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9582293 is divided by 351?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/22 and -1\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/63 and (-14)\/9*(-1 + 28\/20)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g)**(-2\/117))**(-19\/6)\/((g\/g**(-2\/17)*g*g)\/(g*g\/g**(4\/7))*g**(-4)*(g\/(g*g**5\/g))\/g) assuming g is positive.\nAnswer: g**(309892\/41769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904849 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 123*t - 335 = 21*t + 6595 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 2. Let m(i) = i - 3. Let u(f) = -4*c(f) + 3*m(f). Let w be u(-3). Let a = 25 - w. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 1 (c) 1\/5 (d) 2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3827.5 - 3827. Which is the nearest to 12? (a) -5 (b) 3 (c) 2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1013474200 - -4?\nAnswer: -1013474174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45 and -2.02.\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-1) + (2 - 0). Which is the smallest value? (a) -1 (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - r = -6650, -r - 26620 = -t - 3*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 25322 (c) 3 (d) 0.4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/749, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**3 + 2*r**2 - 2*r - 2. Let n(p) be the second derivative of -17*p**5\/20 + 5*p**4\/12 - 5*p**3\/6 - 5*p**2\/2 - p + 41. What is -2*n(s) + 5*v(s)?\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by 1?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 112, 159, 208?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367149465.\nAnswer: 5, 73, 89, 72869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 368910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 87, -1591, -3 in decreasing order.\nAnswer: 87, 3, -3, -7, -1591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 + 2*c**2 - 2*c. Let u(w) = 48*w**3 + 33*w**2 - 33*w. Calculate -33*g(a) + 2*u(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/33237 + -99701\/166185. Which is the nearest to r? (a) 2\/19 (b) 0.1 (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 103*i**2 - 181*i + 3. Determine j(36).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 121442121 (base 5) to base 3.\nAnswer: 1002100120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10422 = -214. Suppose 28*p + j = n + 31*p, 1268 = n + 5*p. What are the prime factors of n?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5769912 and -53\/31734516.\nAnswer: 63469032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1204413, 1204412, 1204413, 1204416, 1204421?\n\"Answer: s**2 - 4*s + 1204416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 13*j**3\/6 - j. Suppose 84 = -4*p + 275*z - 271*z, -101 = 3*p - 5*z. Give v(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k - 1. Let f(u) = 4*u**2 + 2*u - 9. Let g be 1\/((-3)\/(-12)) + 1. Let r(v) = g*z(v) - f(v). Determine r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -t + 4*p, 295*p - 46 = -5*t + 297*p for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, 27, -2.\nAnswer: -2, 27, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121230103 + -1031?\nAnswer: 2121223012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 + l - 5. Let g(p) = -4*p**2 + p - 3. Suppose 0 = -4*k + 9*k - 350. Let i = -67 + k. Determine i*m(a) - 5*g(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242, -390, -822, -1682, -3114?\n\"Answer: -24*n**3 + 2*n**2 + 14*n - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 234\/351*((-3)\/8)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130716 and 174288?\nAnswer: 522864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/n)**28\/(n\/n**16*n*(n*n**(3\/2))\/n) assuming n is positive.\nAnswer: n**(-229\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11.022. Let r = v - 1.122. Which is the third smallest value? (a) 3\/2 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-121 + 120)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 - 654069179*t + 654069179*t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j*j)**27\/((j*j\/j**(-1\/5))\/(j\/(j\/j**(-2)))) assuming j is positive.\nAnswer: j**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 38*z - 3234. Let h be t(88). Suppose 0 = 4*d - 3*d - 154. Calculate the greatest common divisor of d and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 + 6*t**2 + 8*t - 28. Let b be d(5). Let a = 4171\/9 + b. What is the closest to 2 in a, 5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54044 - 54036. Let t(m) = 0*m**3 + 3*m - 2*m**3 - 19 + 8*m**2 + m**3. Calculate t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872311071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 59691.\nAnswer: 59691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-4 + 2 + 3\/2). Suppose h + 5*w - 2*w - 19 = 0, 0 = w - i. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 48. Let n be 2 + (-4)\/(-1 + 3). Let u be o(n). Let q = u + -17. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/5 + 36646*d\/5 + 33355696\/5 = 0.\nAnswer: -869, 19192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 5. Let c = 5 - -1. Calculate the remainder when 2 is divided by x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j - 4. Let i be 30\/450 + (-59)\/(-15). Suppose 4 = -i*n, 2*f - 5*n + 5 = 28. Calculate the remainder when o(-3) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16*(136\/66 - (15 - 13))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -12. Let u be (-510)\/105*(-6 + c). What is the second derivative of -46*d + 26*d + u*d + d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 5088?\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.1 - 0.5?\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 4\/19, -143, -0.053?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*j - 14 = 0, -2*h + 2*j + 13 = -5. Let t be (h + -3)*(2 + -2 + 5). List the prime factors of 336\/10 - (-2 + 65\/t).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {l: 16, j: 1, y: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52041, -52000, -51957, -51912?\n\"Answer: k**2 + 38*k - 52080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from wiaw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsnnncrrcs. What is prob of picking 1 n and 1 c?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746122 is divided by 547.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 173. Let n be 0 + (16\/6 - 2). Let q = -36 - -39. Which is the nearest to 3? (a) n (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 2, h: 3, q: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 22, 29, 28, 13, -22, -83, -176?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/8675 (b) -5 (c) -3\/4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4 + 32 + -27.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45 + 0 + -1 - 0. Suppose 0 = -i - b. Let k = -23 - i. Solve 4 = 5*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*k - 11 + 2 + 9 in the form h + a*k and give a.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 12 = -4*g, -2*l - 5*g - 23 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 2014?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 19 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 81 = -7*c + 3*c, 4*c = -2*r + 150. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 3*z**2 + 5*z**2 - 8*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 - 0.02069?\nAnswer: 1.01931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.573 - -0.673. Let i be 8\/(-12)*(-2 - 21\/(-15)). Is i greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 42957409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r - 2 + 2)*(5*r**2 + r - r) + (-4*r - r + 4*r)*(r**2 - r**2 - r**2) to l*r**3 + s*r + h*r**2 + p and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 20*s - 2*y - 4, 0 = 3*s - y - 2. Solve -b + 2*b + 2 = s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*q = -95, 15*m = 20*m - 4*q + 130. Let h(k) = 8*k**3 - 4. Let i(x) = -2*x**3 + 1. Give m*i(b) - 6*h(b).\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*g + 14. Is (-3)\/g + (-7972)\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1476?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656 + 1515 = -o - 7*u, -5*o + 2*u + 520 = 0 for o.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*c**2*x**3 - 37056*c**2*x**2 - 23*c**2*x - 760*c**2 + 41*c*x + 2 wrt x.\nAnswer: -762*c**2*x - 74112*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -664*v**3 + 1380*v**2 + 1447*v**3 - 22*v**4 - 832*v**3 wrt v.\nAnswer: -528*v - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 44*a + 997. Determine y(-22).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70967*f*l**2 + 2*f*l + 2*f + 4*l - 50 wrt l.\nAnswer: 141934*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-58995)\/(-10260))\/(2\/(-10)*((-15)\/(-4))\/3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.5 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 32*a**3 - 742*a**2 + 2940*a.\nAnswer: 2*a*(a - 7)**2*(a + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*g + 358*f**2 + 1690*g wrt f.\nAnswer: -4*f*g + 716*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 108192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011010001 - 10?\nAnswer: -10001011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -10 - (0 + 3)) + -4 + (0 - 106)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -298088 divided by -37261?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (10 + -8 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4606\/9 in -23, -1.5, 1\/5, -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - u. Suppose -2*g - 3*g - 5 = 0. Let o be t(g). Let j = 1 + 3. Solve 20 = 5*l - o*x - x, 0 = -j*l - 2*x - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13 - 17 = 0. Suppose 4 = p*z - z. Suppose -z*m - m + 10 = -5*c, -3*m = -c - 12. Solve 0 = m*r + 7 + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*105\/30*(-10452)\/1638?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 16. Determine i(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25b (base 12) to base 6.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 + 31*x + 21. Let s be r(11). What is the biggest value in 2\/9, 3\/17, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.762248 to three dps.\nAnswer: 1.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 42. Let o be u(10). Suppose -k + 4*f + 180 = 2*k, -o = -4*f. Let t = k - -127. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnn when three letters picked without replacement from {n: 4, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**2 - 2*u + 5. Let a(b) be the first derivative of 3*b**2\/2 + 4*b - 17. Let h be a(-1). Let m(x) = -x**2 - 1. What is h*j(d) + 5*m(d)?\nAnswer: 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:53 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 483*m - 19. Let b(q) = -q**2. Give b(p(r)).\nAnswer: -233289*r**2 + 18354*r - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 48\/175387?\nAnswer: 48\/175387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1569859\/36 + -43610. What is the common denominator of h and 3\/(-5) - ((-2246940)\/4800)\/73?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:37 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 2*p - 5, -3*p - 16 = -4*l - 7*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 28. Let q(f) = -95*f + 335. Let g(n) = -3*q(n) - 35*w(n). Calculate the remainder when g(10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**3 + 7*y**2 - 6*y + 6. Suppose -5*u + u = -28. Let a = u + -5. Let n(l) = 7*l**3 - 4 - l - 8*l**a + 5*l + 3*l**2. Give 5*g(v) + 7*n(v).\nAnswer: -v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00941037 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 11. Let a = t + 6. Let f(g) = g**2 - g + 26. Is 13 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -446 (b) 2\/7 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + -3 + (8 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 44 = -5*q. Let k be 1\/2*(-8)\/q. Let n = -0.07154 - 0.02846. What is the closest to -3 in k, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 t when four letters picked without replacement from {s: 1, t: 3, j: 1, l: 2, h: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*t - 3*d, 2*t - 9 = d - 2*d. Let k be (t - (-41)\/(-14))*2. Let s = 95 - 95.2. What is the nearest to s in -4, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 22170?\nAnswer: 155190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**3 - 9*t**2 + 3*t - 5. Let l(z) = -103*z + 53*z + 4*z**2 - 3*z**3 + 2 + 49*z. Determine -2*i(b) - 5*l(b).\nAnswer: b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-575)\/100)\/23)\/(((-3)\/(-1))\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -511 + 489. Let w(o) = 2*o**2 + 53*o + 2. Let u be w(n). Does -197 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-54))\/((-60)\/(-90)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -2*r. What are the prime factors of 26\/4*4\/r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1143 by -381.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-84))\/(12\/14). Let j = -16\/9 - y. Let q = 591\/20 + -149\/5. What is the nearest to 0 in q, j, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450272084 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259520 is divided by 471.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2434\/7 + (-12)\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 52*v = -2*z + 8116, -6 = v. Calculate the remainder when z is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 141. Suppose 36 = n*b - 198. Suppose b = 6*v - 29. Put v, -2, 2, 3 in ascending order.\nAnswer: -2, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*l + 0*l - 2*l)*(-4 + 2*l + 4) - l - 2*l**2 + l)*(-462*l + 8*l - 587*l) to n*l + f + i*l**3 + x*l**2 and give i.\nAnswer: -2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11770?\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 74, 113, 154?\n\"Answer: u**2 + 34*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84374835*i**2*s**3 - 6*i**2*s**2 - 2*i**2*s - 4838446*i**2 + i*s**2 wrt s?\nAnswer: -506249010*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - -945. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64721 + -107?\nAnswer: -64828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1c1d77b?\nAnswer: -1c1d77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.4 + -2. Let i = 14 + -21. Let n = i + g. Sort 0, n, -0.5 in descending order.\nAnswer: n, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*a = -12, 0*a = 4*y - 3*a - 15. Let u be 1*2*(-4 + y). Solve 3*x - d = 2*d + 15, 5 = u*x - d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -38*i**4 + i**3 + i**2 - i + 30. Let y(v) = v**3 + v**2 - v - 1. Let a(b) = h(b) - y(b). What is the first derivative of a(c) wrt c?\nAnswer: -152*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2. Suppose -10*q = -2*q + 5*q. Let n(w) be the second derivative of w - 5\/12*w**4 + 0 + 0*w**2 + q*w**3. Give c(n(u)).\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -641 times 8048\nAnswer: -5158768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74098 take away 0.5?\nAnswer: 0.24098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13673 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-15)\/(-40))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(95)\/(3*sqrt(80)) + ((2*sqrt(684))\/sqrt(12))\/((sqrt(60)\/sqrt(5))\/sqrt(4)).\nAnswer: 29*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 0.2. Let l = 146 - 1316\/9. Let o = 2 + 0. What is the closest to 0 in l, g, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 60 = 63 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 303226 and -0.1?\nAnswer: -30322.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 5, f: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 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: Let g(j) = 5*j**2 + 5*j + 3. Let m(a) = -2*a + 2. Let p be m(1). Suppose -3 = f + 2, 5*y - 2*f + 5 = p. Calculate the remainder when g(y) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:30 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(14 + r - 14) - 4*r + 1 - 1 - r + 2*r - 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 24112?\nAnswer: 24110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 8. Let y be p(-6). Let s(h) = h**3 - h - 3. What is the remainder when s(y) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1794 + -1772. Let v = -3 + -1. Let u(d) = d**2 + 4*d + 2. What is the smallest common multiple of u(v) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.09 times -1.038\nAnswer: -5.28342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -45*q + 447. Let i be m(10). Sort -2, i, -5, -6 in increasing order.\nAnswer: -6, -5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvooootv. Give prob of picking 2 t and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 12 = -19*b + 3*a, 0 = -4*a + 8. Suppose -2*m = 5*v + 2*m - 34, -v - 6 = 4*m. Solve -3*n - l = 4*l + 10, v = -b*n - 5*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = 3089*k - 3090*k, -2*b + k - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(304) + (sqrt(304) - sqrt(304)*1) + sqrt(304))*2)**2 - 3*-2*sqrt(304)).\nAnswer: 72*sqrt(19) + 14592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 - 24*k**2\/7 + 30*k\/7 + 52\/7.\nAnswer: -2*(k - 2)*(k + 1)*(k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (1116\/4)\/(-9). Solve 4*k - x = 5*f, 4*k - 14 = f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4073410290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 16) in base 2?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2146620 and 570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/266 + (-750)\/(-4465).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c - 1\/14*c**2 + 1\/21*c**3 - 8. Find i such that l(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 - 10*x - 6. Let a(w) be the second derivative of -20*w + 55\/3*w**3 + 55\/12*w**4 + 0 + 65\/2*w**2. Let o(m) = 6*a(m) + 65*b(m). Factor o(v).\nAnswer: 5*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150902565 to the nearest integer?\nAnswer: 12284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 206385600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 + 0*z**2 - 1\/4*z**4 - z - 1\/3*z**3. Find the second derivative of f(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 102, -1\/7 in decreasing order.\nAnswer: 102, -1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 2*t**2 + 2*t - 2. Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 5*n - 6. Let o be a(4). Suppose o*k - 1007 = 3855. Calculate the highest common factor of k and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Suppose 7*m - l*m = 0. Suppose m = o + 3*o. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*d + 9078 - 10077 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(1\/12)\/k)*k*k**(-13\/2) assuming k is positive.\nAnswer: k**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q**5 + q)*(0 + 2 + 1) + 3*q**2 - 2*q**5 - 3*q**2 + (-2*q - q + q)*(-q**2 - q**4 + q**2) - 3*q**3 + 3*q**3 + 2*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvgggvggv. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-770) + (-104)\/260. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551814 is divided by 1903.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 109969?\nAnswer: -219938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/7*k**2 - 27\/7*k**3 + 0 - 24\/7*k.\nAnswer: -3*k*(k + 2)*(9*k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1490924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -29257?\nAnswer: 5851.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 392*2 - (297\/(-55) + (-9)\/15). Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 41. Determine h(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 - 4*c + 45. Let h be n(11). Put -3, 27, h in ascending order.\nAnswer: -3, h, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/((-91)\/(-42)))\/(2\/5). Suppose 12 = 5*w - 2*w. Is w >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194324*y**2 + 2*y**3 + 194324*y**2 + 3*y.\nAnswer: 2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -20 (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 178*k - 3301. Give a(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + 5 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1702)\/40 - 21\/(-28) - (-1544)\/1930?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04696018 to 4 dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 163434373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 30*h + 263. Let u be j(-37). Let n(t) = t**3 - 5*t**2 + 13. What is n(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1579 + 2643. What is the smallest common multiple of s and 1368?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*h - 24 = 3*y, 2*h = 2*y + 4. Let a = y - -7. Suppose 2*b - 1 = -3*f, -8*b + a*b = -5*f + 10. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69341 is divided by 3307.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-4 - -4) + 1. Let g be (f\/(-4)*0)\/2. Solve 2*k = -3*w - 2 - 11, g = 4*k + w + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 90*p**3 - 75*p**2 + 170*p = 0.\nAnswer: -17, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 859 + -859. Let w(o) be the first derivative of -4\/3*o**3 - 1\/4*o**4 + 4 + h*o + 0*o**2. What is the third derivative of w(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -60, -79, -86, -75, -40?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 40*l**3 + 3*l**2 + 8*l - 8. Let x(v) = -40*v**3 - 4*v**2 - 9*v + 8. Let t(f) = 4*s(f) + 3*x(f). What is the second derivative of t(u) wrt u?\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237.3899096 - -26.6099734. Let w = u - 264. What is w rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(7) + -1).\nAnswer: -3*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 64. Suppose m*w - 32*w = -36. Let o(k) = 17*k + 3. Calculate the remainder when o(4) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2. Let x(o) = -o**2 + 6*o + 4. Let y(g) = -g - 1. Let s(z) = x(z) + 6*y(z). Let h(p) be the first derivative of s(p). Calculate b(h(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94506 and 157510.\nAnswer: 472530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyrrtg. Give prob of picking 1 y, 2 r, and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 2*m + 2, -m - 11 = -2*q - 4*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 28052?\nAnswer: 1\/28052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1764518 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -274.4451.\nAnswer: -279.4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 2*g + 2. Suppose -2*o - 7 = -15. Let x(q) = 3*q**2 + 6 + o - q + 7*q - 8. Let z be x(-2). Determine r(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 17}. Give prob of picking 1 w and 1 v.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 228 or 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 25 = 0. Suppose 4*p + 27 = h*q, 0*p - p - 6 = -q. Is 30\/20*4\/q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 78\/19, -28 in descending order.\nAnswer: 5, 78\/19, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from {x: 3, g: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-20)\/(-9) - (-14)\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12 and 19\/14454.\nAnswer: 28908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*z + 2684 = 0, 0 = -2*p - 2*z + 445 - 1519. Let n be ((-15)\/7)\/(p\/2345). Which is bigger: n or 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 702 = 2*z, -704 = -5*i - 8*z + 4*z. Suppose i = 3*o - 34. What is the remainder when o is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/10 of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -161, -0.5, -11, 2, 0?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) 0 (b) -6080 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/8))\/o**(2\/7))**(-27)\/(o**(-2\/3)\/(o*o\/o**(-1\/10)))**(5\/6) assuming o is positive.\nAnswer: o**(-3455\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + k - 3. Let g be p(-3). Suppose h = 5 + g. Let i = 46 - h. Solve 5*d - 5*y = 20, 5*d - 5*y = -y + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 412 = 5*z, 3*o - 5*z - 78 = 540. What is the remainder when o is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (188\/(-423))\/(7\/(-189)*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - -28. Let f = -9071129009.99999923 - -9071128920. Let j = f + o. Round j to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:15 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9012 divided by 41?\nAnswer: -9012\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -467 (c) 2\/3 (d) -2\/7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61065551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:07 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/7? (a) 1\/4 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b - 6. Let i(q) = -q + 4. Let n be i(4). Suppose n = -5*r + 3*r + b. Let h(u) = 3*u + 1. Calculate h(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 29017 + 18057 = 700. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:29 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6.90395 times 30\nAnswer: -207.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 231, -25, -3 in descending order.\nAnswer: 231, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1573137203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 225, 183, 25, -249, -639?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 + b**5 - 3*b**5 + (-b - 5*b + 3*b)*(-b**2 + 5*b**4 + b**2) - b**5 + b - b.\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17.05. What is the smallest value in w, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*1)))) - sqrt(65))\/sqrt(5).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 2. Let c(y) = -y + 1. Let o(u) = b(u) + 2*c(u). Let w(v) = 456*v**2 - 441*v**2 + 32*v**2. Determine o(w(h)).\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhvhhvhh. What is prob of sequence vvhv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-42)\/(-35))\/(2\/(-20)). Let i be (21\/14)\/((-81)\/w). Find j, given that -2\/9 + i*j**2 + 0*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(10\/9)*d*d**(-1\/8) assuming d is positive.\nAnswer: d**(143\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfferrxrwfrerefrrfrr. What is prob of picking 2 f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n. Let o be (0 + n)*(-9)\/18. Which is the closest to o? (a) -2 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14402934.23 rounded to the nearest 1000?\nAnswer: -14403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -1. Suppose -4*q + k = -2. Let y = 3.3 + -5.3. Which is the third biggest value? (a) 1\/3 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(700)*1 + sqrt(700))**2 + sqrt(700) + 2 + -1 + 2*sqrt(700) + -5*-2*sqrt(700)*6)*2.\nAnswer: 2520*sqrt(7) + 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22918, 22921, 22924, 22927, 22930?\n\"Answer: 3*f + 22915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8594 divided by 44.\nAnswer: 4297\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - -126?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((4 + -3)*-1). Find the second derivative of q + 211*q**4 + 0*q**u + 0*q**3 - 196*q**4 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 156.948. Let k = b + -0.948. Is -336 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 3*x**2 + 8*x - 2*x**2 - 8*x**2 + x**3 + 4. Determine i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3712*i**2 - 3714 wrt i.\nAnswer: -7424*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9 = 2*m, -12 = -m + 3*m - 2*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63011039 to the power of 1\/2, to the nearest integer?\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234098109.\nAnswer: 3, 7, 17, 218579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y**2 + 36*y**2 + 2*y - 28*y**2 + 2)*(-4 + 6 - 3).\nAnswer: 13*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1564*d**2 - 216*d**3 - 693*d**4 + 696*d**4 + 846*d**2 wrt d?\nAnswer: 72*d - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2040562 + -2?\nAnswer: 2040560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12) - -2*sqrt(12)) - sqrt(162)\/sqrt(9)) + -2*(-2*sqrt(200) - sqrt(200)).\nAnswer: 172*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503759 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2988 divided by -6.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10125*f**2*m - 1163*f**2 - 2*f*m + 5480435*f wrt f?\nAnswer: 20250*m - 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 4*k - 1. Let g be i(3). Suppose 20 = -q + g*q. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38930780, 38930812, 38930842, 38930870?\n\"Answer: -l**2 + 35*l + 38930746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s*s)**(2\/63) assuming s is positive.\nAnswer: s**(10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = t - 4*r, 20 = 4509*t - 4513*t + 4*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:54 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -636 by 4.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 - 73. Is d - 1 - (0 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Let d(y) = 27*y - 144. Let p(n) = 152*n - 806. Let m(w) = 28*d(w) - 5*p(w). What is m(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 363, 577, 855, 1197?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from hswop.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*p + 3*w, 31*p - 2*w = 27*p + 72. Solve -4*y + 3*q - 1 + p = 0, -2*q = 5*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 7*r + 37, 4*c - 2*r = -8996 + 8974 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 95, 657, -5 in decreasing order.\nAnswer: 657, 95, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 188162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 536*b + 41. Let g(q) = 4*q**2 - 357*q + 30. What is -5*a(n) + 7*g(n)?\nAnswer: 3*n**2 + 181*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Let b be 27\/(-6) - -7 - 2\/x. Let m(y) = -2*y - 2. Let f(p) = p**2. Let o(r) = 2*f(r) + m(r). Give o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-21) - 95901\/(-273) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7*q**2 - 3*q**2 + 2 + 4 to the form a*q + d*q**2 + w and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*m + 14, -c + 5 = -4*m - 6*c. Let r be (-44)\/(-33)*(-1 + -2). Let u be ((-42)\/(-112))\/((-6)\/r). What is the second smallest value in m, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35889383 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255, 1044, 2361, 4212, 6603, 9540?\n\"Answer: r**3 + 258*r**2 + 8*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/5 - 104348*f + 6805315690 = 0. What is f?\nAnswer: 130435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = -25. Solve 4*y - h = 16, -y - 1 = 2*y - a*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l + 68*l + 57*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2))\/(-5) + 27\/18. Let k = -9 + 4. Let c(b) = 2*b. Let q(f) = -f. Let z(r) = k*q(r) - 4*c(r). Calculate z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:11 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.4 - -35. What is the closest to -0.2 in m, -1\/4, 16, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2186416 and -25\/776.\nAnswer: 212082352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/267 - 5888\/1869. Find the common denominator of -53\/6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:47 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*o + 3*o. Let y(u) = u**2 + 2*u + 7. What is the remainder when y(-3) is divided by (-1)\/(0 + o\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 1 w when three letters picked without replacement from {j: 7, l: 1, w: 9, u: 1}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19582.\nAnswer: 2, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/12 - 11*k**3\/6 - 11*k**2 - 2*k. Let s be a(-9). Is (-149)\/s + 11\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 609 = k, 5*k - 11 = -6. Let o = -119 - d. Solve o*j = 4 + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*k**2*x**2 - 2*k**2 + 2*x**2 + 85*x wrt x?\nAnswer: -264*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17515, -17720, -17925, -18130, -18335, -18540?\nAnswer: -18745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l + 90. Let g = l + 20. Let f = 43 + g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (3 - 2) + (105 - 13) + -203.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -605*v + 1253. Determine z(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*l - 52*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -7. Solve -q = -p - p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -5, 2260 in descending order.\nAnswer: 2260, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15*(162\/10)\/9\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -824 (b) 37 (c) 1\/6 (d) 0.5 (e) 0.2 (f) -3 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 25 - 1286*p - 7355*p + 11.\nAnswer: -8641*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-32 + 60) - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 7*f + 8. Let u be l(-3). Sort 0, 1, -5, u.\nAnswer: -5, 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(66) + (3*sqrt(66) - sqrt(66))) - sqrt(66))\/((sqrt(252)\/sqrt(6))\/sqrt(7)).\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from ziezllzliiezeieuci?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 56751?\nAnswer: -227004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 831*y**2 + 58. Let i(g) = -1663*g**2 - 116. Let x(v) = -9*a(v) - 4*i(v). Differentiate x(p) with respect to p.\nAnswer: -1654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s - 85*s - 760 = 0. What is the remainder when s is divided by 1\/2*(23 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*j**2 - 28*j**2 - 2*j**4 - 32 + 19*j - 17*j to the form c + n*j**2 + d*j**4 + t*j**3 + s*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 3, -1, -7, -15, -25, -37?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (0 + (sqrt(432) - ((sqrt(432) + 1)*-1)**2) - (-1*(-1 + sqrt(432)) + -3*(-1 + sqrt(432) - sqrt(432)))**2) + -2).\nAnswer: -504*sqrt(3) + 5304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0755012s in hours?\nAnswer: 0.001965417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-99)*(-4)\/(-16)*(-6)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 84*v**5 - 51596*v**4 + 420616*v**3 - 766832*v**2 + 514080*v - 116352 = 0.\nAnswer: 4\/7, 2\/3, 1, 6, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72950326 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 -69261395 divided by 78085?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1065, 957, 849?\n\"Answer: -108*w + 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 27*r. Let g(m) = 9*m. Determine b(g(n)).\nAnswer: 243*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -340.4783 and -4.\nAnswer: -344.4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 285630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 275690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + w - w)*(-6 + 4 + 3) - w + 15*w + 13*w)*(-w + w**2 + w).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 521, 557, 609, 671, 737, 801, 857?\n\"Answer: -p**3 + 14*p**2 + p + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27*x**3 + 57. Let v(m) = 13*m**3 - 28. Give -2*b(j) - 5*v(j).\nAnswer: -11*j**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9.28. Let a = 11.28 + z. Suppose b - 1 = -3*i, i - 2*i = 0. Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4208233 is divided by 538.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/((w**(-1\/8)\/w)\/w*w))**(1\/45) assuming w is positive.\nAnswer: w**(-71\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 smaller than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52101 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*-2*(-4 + 5). Let t(h) = -11*h**o + 28431*h - 28431*h. Let y(m) be the third derivative of -m**4\/24 + m**2. Give y(t(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 39443742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/11, 0.3, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35589 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h + 2*h. Let w = h + 5. Which is the third smallest value? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12650 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + o)*(4*o - 4*o - 2*o**2) - o**3 - 3*o**3 + 3*o**3 + (0 + 0 - 4*o**2)*(0*o + 5*o - 4*o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9579157 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 112. Solve 3*q = 12, 5*h - 3 = 5*q - y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208462729 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67490874 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31631 or -316301\/10?\nAnswer: -31631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12 = 0, 10*y + 17*y + 5*y = 2*w + 29*y + 135 for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7553*w + 22. Let l(v) = -5*v. Calculate l(j(n)).\nAnswer: -37765*n - 110","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.400132 + -3.4. Round u to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Suppose -24 = -4*s + 5*w, -4*w = 5*s - 2*w - 30. Let d(l) = 8*l + 27 - s - 15. Determine d(j(x)).\nAnswer: 8*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r - 17. Let s be (-3 - -2)*(-28)\/(-7). Let z be (-12)\/1 - 1*s. Does 39 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 92?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + 0*m**5 + 3*m**5)*(3 + 2 - 6 + (-5 + 4 + 3)*(-2 + 9 - 1))*(1 - 6 + 3).\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -233? (a) 9\/5 (b) 5 (c) 2\/5 (d) 77 (e) 9 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (80\/(-35))\/4 + 1956\/42. Suppose -q = -0*q - 69. What is the highest common factor of q and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 394.416 + -394.5. Which is the fourth biggest value? (a) l (b) 9 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 2 - 166*x**3 + 165*x**3 - 1 + 7*x**2. Let n = -71 - -78. What is o(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3bc49c (base 13) to base 2\nAnswer: 101100011010001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62540)\/(-18) - 924\/(-594). What is the highest common divisor of d and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21426444 or 42852885\/2?\nAnswer: 21426444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbhp when four letters picked without replacement from {p: 1, h: 1, b: 2, c: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 27456506?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 290 = -0*s - v, 0 = -3*s + v + 174. Calculate the remainder when 983 is divided by s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.16427 litres to millilitres.\nAnswer: 55164.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, 94, 314, 706, 1318, 2198, 3394?\n\"Answer: 8*y**3 + 14*y**2 - 2*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124274780*b**2*p*v**2 + 9*b*p*v + b + 15527*p - 31*v**2 wrt b?\nAnswer: -248549560*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -84629 (b) 1655 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/13, 1\/3, -13\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -792509 (base 10) in base 16?\nAnswer: -c17bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 500\/(-330) - (-76)\/57. Which is the nearest to 0? (a) 0 (b) u (c) -2\/7 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7*j + 3. Let y be r(3). Let x be (-682)\/6 + 3\/y. Let f be x\/(-27) + (-4)\/18. Solve p - f*p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0 + 0*k**5 + 0*k**6 + 0*k**3 + 3*k - 1\/4*k**4 + 0*k**2 + 0*k**7 + 3\/28*k**8. Find the third derivative of u(a) wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 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: In base 10, what is -146 - -1?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13)*1 + -5.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - b1bb?\nAnswer: -b1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + n + n**3 - 2 + 0*n + 2*n. Let r(d) = -d**3 - 5*d**2 - 12*d - 30. Let g(a) = -a - 20. Let u be g(-16). Let j be r(u). Calculate z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*v - 397 = 653. Let d = 7.7 + -8. Put 0, v, -5, d in decreasing order.\nAnswer: v, 0, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 378*k + 445*k - 88*k + (-8*k + 8 - 8)*(-2 + 0 + 0).\nAnswer: 751*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 4. Let k(n) = 5597*n. Determine k(g(o)).\nAnswer: 39179*o - 22388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 85446751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*h + 22, p - 2*h - 99 + 78 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 295048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 12181*b**2 + 12181*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let g be w(-4). Suppose -g*r = -11*r - 1. Let y = -5 - -5. What is the closest to r in 1\/3, y, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/5000 + 1663\/105000. Let d(h) be the third derivative of 1\/60*h**4 - 21*h**2 + 0*h + 0*h**3 - s*h**7 + 1\/25*h**6 + 1\/20*h**5 + 0. Factor d(z).\nAnswer: -z*(z - 2)*(4*z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 0, h + 3*g = 3 + 7. Put 5, 2, -3, h in ascending order.\nAnswer: -3, 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176622 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2565, 2716, 2971, 3330, 3793, 4360?\n\"Answer: 52*b**2 - 5*b + 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145610*r**3*u**3 - 50162*r**3*u + 2*r**3 - 8*u**2 + 2*u wrt u?\nAnswer: -873660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82397*m**3 + 112565 wrt m?\nAnswer: 247191*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 17. Let y(l) = -5*l. Let d be y(-1). Let a(p) = -3*p + 5. Let k(j) = -4*j + 8. Let f(q) = 6*a(q) - 5*k(q). Let n be f(d). Calculate t(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a7a510 (base 11) to base 4\nAnswer: 12211213023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2 - 27*l - 5. Let o(g) = 3*g**2 + 12*g + 3. Let h(f) = -5*o(f) - 2*r(f). What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -41. What is the third derivative of -1 - c*u**2 + 6 + 17*u**2 + 73*u**4 wrt u?\nAnswer: 1752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -5 - 0 - -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (sqrt(108)\/sqrt(4) + sqrt(3))**2 - (sqrt(72)\/(sqrt(6)*-2))**2*-3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/7, -272 in decreasing order.\nAnswer: 0.5, -4\/7, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21947 = 21945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052003042.\nAnswer: 2, 31, 53, 389, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10928)\/(-260) - ((-131184)\/(-4680) + -28).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3759 - -18801\/5. What is the common denominator of w and 53\/407?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*d**2*q**2 - 23995*d**2 - 186*d*q**2 - 2*d*q - 2*q wrt q?\nAnswer: 64*d**2*q - 372*d*q - 2*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 50.4014?\nAnswer: -40.4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211739?\nAnswer: 11, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 77*s - 33. Let w(a) = 155*a - 65. Let x(o) = -5*g(o) + 2*w(o). Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -3, -6, 2 in decreasing order.\nAnswer: 2, -3, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/3 + (-2 - 0). Let v be d - 24*3\/3. What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v. Let n(y) = -2*y**2 - 5*y. Let t(o) = 2*n(o) - 5*u(o). Let z(j) = 7*j**2. Determine t(z(s)).\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 769 + -764. Let l(f) = -5*f**2 + 4*f + 4. Let a(v) be the second derivative of 5*v**4\/12 - 5*v**3\/6 - 5*v**2\/2 + 47*v. Determine z*l(b) + 4*a(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1517 divided by -5.\nAnswer: -1517\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h**2 - 33*h**2 - 10*h + 10*h - 6 - h**2 - 4*h**2 + 2*h**2 + (0*h + 5*h - 3*h)*(-2*h + 5*h - 4*h).\nAnswer: -49*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*o + 39*o + 48*o + 4202.\nAnswer: 3*o + 4202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(-6)\/26. Let l = 2.5 - 0.5. Let i be (-4 - -5) + 4\/(-8). Put i, t, l in descending order.\nAnswer: l, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161465975.\nAnswer: 5, 11, 587149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**41*((v**(-5\/7)*v)\/v)\/(v\/(v\/(v**6\/v*v))))**(2\/13) assuming v is positive.\nAnswer: v**(678\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - 72*d**2 + 4*d**3 - 1258*d**2.\nAnswer: -2*d**3 - 1330*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 21) + 67 - 54\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:17 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32679.13 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*b + 19 = 41, -2*k + 6 = 4*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -554 greater than 3442.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3591440 and -81\/9876460.\nAnswer: 39505840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2210701205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 42 = 11*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/7 + 45*w\/7 - 62 = 0 for w.\nAnswer: 14, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:16 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3911 + 3913. Let y(w) be the third derivative of -4\/525*w**7 + w**x - 1\/75*w**5 + 0*w - 1\/60*w**6 + 0 + 0*w**3 - 1\/840*w**8 + 0*w**4. Factor y(i).\nAnswer: -2*i**2*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000861379107 rounded to seven dps?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnpnnppnffpfppnpw. What is prob of picking 2 f and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12699*f*x**2 + 5957*f*x + 676*f + 97127 wrt x.\nAnswer: -25398*f*x + 5957*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 75 - 150 = 0. Calculate the lowest common multiple of (-260)\/(-9) - 6120\/(-5508) and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 20 = 3*q, -q = -30109*i + 30112*i - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -46. Suppose -a*r = -13*r + 938. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 1, e: 1, q: 1, b: 5}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2018*d**2 - 84*d - 214. Is f(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*y + 292*y = 6*i - 15, 13 = -y + i for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3278 = -4350. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {u: 4, x: 3, v: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 39?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, 83798, -3 in ascending order.\nAnswer: -3, 189, 83798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 5 (c) -0.3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z - 4. Suppose 5*u + 54 - 4 = 0. Let n = 7 + u. What is m(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000851056 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*2667.8\nAnswer: 8003.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 3. Let q(g) = g**v + 14 - 14 + 3*g**2 + g. Let a be q(-2). Solve -3*s + 6 = r, a*s = s - 3*r - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 660, 659, 648, 621, 572, 495, 384?\n\"Answer: -z**3 + z**2 + 3*z + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(4 - 3 - 2)*(-14*b**3 + 18*b**3 + 12*b**3).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)*i**(-3))**(1\/9))**(2\/69) assuming i is positive.\nAnswer: i**(-14\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 13*b**2 - 12*b + 11. Let w(y) = -y**2 + 34*y + 324. Let i be w(-8). What is j(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - (-8 - 15 - (-114 - -80)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 389584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 2}. What is prob of sequence zzrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 1. Let x be r(3). Let f be (2 - x) + 7 + -2. Suppose 34 = 5*m - 4*w + f*w, 9 = 2*m - 5*w. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 13*w**3 + w - 2997. Let c(y) = -3*y**2. What is c(t(x))?\nAnswer: -4563*x**4 - 234*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14604, 27709, 40814?\n\"Answer: 13105*h + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s**2 - s + 3. Let p be w(0). Let g = -39 - -37. Which is the nearest to g? (a) -2 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -30. Suppose -2 = f + u, -4*f = u - 0 - 7. What is the least common multiple of -5*24\/(-20)*f and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-252) - (-7)\/12)\/((-2)\/(-30))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s - 15 + 0*s**3 + 46*s - 19 - 4*s**3 + 25 + 4*s**2. What are the prime factors of l(-4)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 12. Let g be d(6). Let c = g + 13. Suppose -3*l + p = -83, 2*p - c = 1. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 - 1. Let q be j(1). Solve 6 = -4*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36875977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-38 + 18)) + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 72 + 69 - 247)*(-5 + y + 5).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s**4)\/s))**(-46)*(s\/((s*s**(2\/7))\/s*s*s)*s)**50)**16)**(-18\/13) assuming s is positive.\nAnswer: s**(-249408\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 111816*k + 24. Let h be x(11). What is h rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 7, 9?\n\"Answer: 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8546 + 17469\/2. Let n = -193 + o. Which is smaller: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 + -8 + -8 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6037963 milligrams?\nAnswer: 0.0006037963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31835 = 1506*i - 1507*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*c = 20, 0 = o + 3*o + 2*c + 24. Let s(u) be the third derivative of -u**5\/30 - 7*u**4\/24 - 2*u**3\/3 - 10*u**2. What is s(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 9*j**2 + j - 3. Let l be b(-9). What is the tens digit of 2\/(-12) - 578\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 26*w = 6. Let j(p) = p**2 + 8*p + 8. Let r be j(-6). Let i = r - -1. What is the smallest value in w, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1273 - -853631?\nAnswer: 855014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - l - 1. Let v be m(4). Let x(k) = -k**3 - 3*k**2 + 4*k - 1. Let g be x(-3). Let u = g - v. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a factor of 211883466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/44 and (33\/44)\/(35400\/(-620)).\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35090 divided by 3190?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (20 - (22 - 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -30, 1, -7, 6 in decreasing order.\nAnswer: 6, 2, 1, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + 3 + sqrt(475) - (sqrt(19) + (sqrt(19) - -2*sqrt(19))*5 + -2)**2).\nAnswer: -4864 + 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -278?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 6*o + 8. Let n be k(6). Let l be n\/6*(-3)\/6. Let q(a) = a**3 + 10*a**2 - a - 12. Let d be q(-10). Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/8 + (-244)\/(-504). Let c = -5\/9 + o. Find the common denominator of c and 29\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = c, 2*c - w = 3*c + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 - 15 - 76 + 11*m**3 + 263 - 3*m**3 - m**2 as p*m**3 + t*m**2 + q*m + u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 1, k: 3, b: 3}. What is prob of picking 3 r and 1 v?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 + 1201*b**4 + 130194*b**3 + 2612992*b**2 + 14960800*b + 26061312 = 0.\nAnswer: -1083, -94, -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*c - 39, 0 = 3*i - 5*c + c - 19. Let v be -6*(-33)\/i - 3. Suppose -11*u = -14 - v. Let m(l) = -6*l - 3. Determine m(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8970.3641971 from 0.02.\nAnswer: -8970.3441971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (-1*(sqrt(684) - (sqrt(684)*-2 + 5)) - (-2 + -1*sqrt(684) + sqrt(684) - sqrt(684) - (1 + sqrt(684) + sqrt(684) + 1))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8981 - -8983. Let k = 1\/721 - 5053\/4326. Suppose 5*o + 8 = -2. What is the third smallest value in o, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187988267 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + q + 31, 5*r + 0*q - 46 = -4*q. Let c be 4\/r - 8\/(-5). Suppose -3*i + 5 + 2 = c*s, 4*s = i - 7. Which is greater: -3\/8 or s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -27060089\nAnswer: 3\/27060089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24348 (base 9) to base 7.\nAnswer: 65411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -b. Find the second derivative of -3*c + 2 - b + 3*c**2 - 5*c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96830054.\nAnswer: 2, 293, 373, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 636 - (-14 + 20) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w**2 + 2 + w - 1 + 0 + w**2. Let x(d) = -d**2 - 4*d + 4. Let c be x(-5). Let u(a) = -4*a**2 - 2. Let b(g) = c*u(g) - 2*n(g). Factor b(v).\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 208 = 5*l - h, -2*l - 2*h + 80 = 0. Let n = -106 + l. Let s = n - -65. Put s, -1, -5, -3 in increasing order.\nAnswer: -5, -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 78\nAnswer: -17\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -593 + 199 + 203 + 5*w + 0*w + 201 + 2*w**2. Let f be -1*(2 + 0\/(-2)). Let l be s(f). Is 15\/2 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 5. Let f(u) = 13*u - 11. Suppose -d + 0 = -4*g + 1, 5 = 5*g. Let r = -4 - -3. Let k = d - r. Give k*f(s) - 9*p(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = 0. Suppose k = -b*k + 23. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.4, -0.5, 75, -0.2 in decreasing order.\nAnswer: 75, -1\/10, -0.2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + (-3)\/(0 - 1). Let q = 2 + -3. Let k be (-4)\/14 - (2 + 86\/(-56)). Which is the second biggest value? (a) k (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.54978213 rounded to 1 dp?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {h: 1, z: 1, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -674 (base 9) to base 7\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1727 or 1714?\nAnswer: 1727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9*z - 28 = 0. Solve z*b = 6*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5399338.\nAnswer: 2, 7, 43, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 17833*g**2 + 14 - 35690*g**2 - 7 + 17850*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13598)\/523)\/(((-1)\/((-2)\/6))\/3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.01, -0.1, -11 in descending order.\nAnswer: 1, -0.01, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 25*o - 28. Let w(p) = 26*p - 29. Let f(g) = 4*s(g) - 3*w(g). What is the remainder when 122 is divided by f(4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -2*z**5\/45 - 7*z**4\/9 - 16*z**3\/3 - 18*z**2 - 30*z - 56. Solve n(j) = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305668 and 92620.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2115, 4262, 6409, 8556?\nAnswer: 10703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7*d = -11*d - 15, b + 5*d + 20 = 0. Solve q - 9 = b*u, -u + 3*q - 8 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 83209.96cm?\nAnswer: 832099600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2\/3 - 322*d\/9 + 260\/9 = 0. What is d?\nAnswer: 5\/6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394 - 396 + a - 395 + 1557 - 372.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 23 = 5*l, -4*l + q = -0*l - 14. Suppose l*n + 3*c - 12 = 0, -2*c - 10 = -4*n - 0. Solve -3*v + 3*y + 3 = -3, n*y + 6 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*q + 21 = -5*q, -4 = q. Let r(d) = d**3 + 2*d**2 + 4*d + 4. Determine r(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238846.1198 plus 7.42?\nAnswer: 238853.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f**2 + 12 + 1 + 86*f**2.\nAnswer: 35*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8453.93ml in litres?\nAnswer: 8.45393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -180803.\nAnswer: 18080.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a = 27*a - 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418579.\nAnswer: 1418579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Let v(n) = n**3 + 2*n**2 - 7. Let i(d) = v(d) + 4*w(d). Let a be i(-3). Suppose a = -p - 2*p + 219. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*w**2 - 40*w**2 + 10*w**3)*(-2*w - 3*w + 3*w) + w**4 - w**4 - w**4 - 3*w**4 - 2*w**4 + 6*w**4.\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8\/(128\/84) + -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(81))\/sqrt(3))\/sqrt(9) - ((sqrt(75) + 1)*-4)**2.\nAnswer: -1216 - 161*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(((w*w**14)\/w)\/w)*w)\/(w*w\/(w**(-1\/15)\/w)))**(-11\/4) assuming w is positive.\nAnswer: w**(539\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1 (c) 0.3 (d) -35.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20203162 (base 7) to base 15\nAnswer: 2334b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 106*x - 100 + 6580. Is x >= 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 13*x + 69.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1230*(-10)\/(-20) - (-1 + 1). What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650838300 rounded to the nearest one million?\nAnswer: -651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1217 + 1215. Let j be 1 + -3 + 7\/4. Which is the biggest value? (a) -0.1 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 4*g**2 - 3*g + 8. Give n(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 10, -4 in descending order.\nAnswer: 37, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**2 - 12*h**5 - 28*h**4 - 1249*h**3 - 2*h + 1237*h**3 + 10*h = 0. What is h?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 7\/6*q**3 + 0 + 0*q**2 + 35*q. Let p(a) = 10*a**2. What is k(p(h))?\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**4*u - 4*d*u + 4*u + 58 wrt d?\nAnswer: 16*d**3*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 1. Let h = -37 - -36. Let j be n(h). What is the nearest to 0.2 in -2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 206 (b) -21 (c) -4\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 205*a**2 + 67*a**2 + 67*a**2 + 4 + 62*a**2.\nAnswer: -9*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296010309?\nAnswer: 3, 7, 14095729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-5 - -3) + 2. Let q = w + -8. Suppose v - 24 - 2 = q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 2*b**3\/3 + 2. Let f(l) = -9*l. Give f(o(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*u**2 - 4 + 10*u - 41*u**2 - 35*u**2)*(-3 + 5 + 0 - 4*u).\nAnswer: -12*u**3 - 34*u**2 + 36*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 - y**2 + 1. Let n be q(-1). Let t be -6 - 12\/((-12)\/4). Sort t, -3, n.\nAnswer: n, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 707198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.97 + 128.03. Let t = -129.0249 + g. Let l = t + 0.0508. Round l to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((1 - (2 - 6)) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llolpyffxflxlff. What is prob of sequence plo?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 5*u**2 + 3*u - 3. Let v be g(-4). Let y = v - -1. What is the remainder when y is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 + u**2 + 4*u. Suppose 0 = -2*k + 3*t + 5, -4*t - 4 = 2*k - 4*k. Let h be j(k). Suppose -44 = -5*d + h. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -754\/7 + 108. Which is the nearest to -2? (a) -2.3 (b) -1 (c) m (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 49 = 4*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -5) - (-15 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55486 is divided by 2410?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.34 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201829 is divided by 4383?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 7. Let b be j(5). Let h(y) = -2*y**3 + 37*y**2 - 11*y + 2. Let a(z) = z**3 - 21*z**2 + 6*z - 1. Let d(f) = 7*a(f) + 4*h(f). Give d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/(x*x*(x*x\/x**(1\/5))\/x)))\/x)\/x*x)\/x*x)**(-3\/19)*x\/(x\/(x**(1\/14)\/x*x*x)*x)*x**(-3\/11) assuming x is positive.\nAnswer: x**(-7103\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28 = -0. Let c be ((-16)\/6 + 2)\/(28\/(-84)). Let r be c - (-27)\/6*12. Calculate the greatest common factor of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49602076*v**3 - 6*v**2 + 2*v - 1759117 wrt v.\nAnswer: -297612456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -135, -2, 4, -4, -110.\nAnswer: -135, -110, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 396471771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 3*m. Solve 0*x - v = 3*x, 0 = 2*x + m*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3370*m + 3372*m = 16 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {t: 5, q: 2, m: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 + 4*u**2 - 4*u - 256. Let p(v) = -7*v**3 + 5*v**2 - 5*v - 257. Let d(b) = 5*p(b) - 6*r(b). Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486743 greater than 3486749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -35 + 15*k**2 - 24*k**3 - 22*k**3 + 6*k - 4*k + 45*k**3. Let s be x(15). Which is the biggest value? (a) s (b) 0.4 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 4\/(-4) - (-2 - 4). Solve j*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*n + 18014 = 3066 + 10141 - 24243 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x**2 - 8*x - 1 + 3 - x**2. Let c be p(-8). Let r be (-165)\/132 + (-9)\/(-4). Solve 3*t + c = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 23*o**3 - 20*o**2 + 14*o. Suppose 44 = -4*r - 24. Let f(u) = 4*u + 26*u**3 - 53*u**3 + 19*u**3 + 7*u**2 - 4*u - 5*u. Determine r*f(j) - 6*p(j).\nAnswer: -2*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/3 - (-44)\/(-55). Let z be (-10)\/16 - (-2)\/8. What is the second smallest value in z, 8\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - -18.8. Round g to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -1, 69\/191.\nAnswer: -8, -1, 0, 69\/191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/10 + o**3\/6 - 105*o**2. Let t(x) = x**3 - 19*x**2 + 20*x - 37. Let v be t(18). Determine l(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*((1*sqrt(209))\/sqrt(11) + 5) - (sqrt(171)\/(sqrt(9) - sqrt(225)) + sqrt(475) + 5)).\nAnswer: -11*sqrt(19)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 - 50253*w**2 - 1004639*w + 1054893 = 0.\nAnswer: -50233, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109516111 to the power of 1\/2, to the nearest integer?\nAnswer: 10465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 406*c**2 + 1600*c - 1592 = 0 for c.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113466 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(91) + 2*sqrt(91))*6 - -5*sqrt(91)*2)\/(2*-4*sqrt(112)))**2.\nAnswer: -1911\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 5*o**7\/84 + o**6\/4 + o**5\/4 - 4*o. Let g(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-8)*(-196)\/(-147). Suppose -4*q = 2*b - 24, -5*b = 3*q - l*b - 25. Solve 3*n = 5*z, n = 3*z - q*z - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 45*m = 47*m - 22, -9*m + 99 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**3 - 9*n**2 - 5*n + 41. Let y(w) = -4*w**3 - 5*w**2 - 3*w + 21. Calculate -3*o(h) + 5*y(h).\nAnswer: h**3 + 2*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -3*r**2 + 1\/120*r**6 + 1\/60*r**5 + 0*r + 0 + 1\/840*r**7 + 0*r**4 + 0*r**3. Factor b(p).\nAnswer: p**2*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)*l)**(-22)\/(l\/(l*(l*l*l**(-2\/5)*l*l)\/l*l)*l)**11)**(2\/15) assuming l is positive.\nAnswer: l**(154\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7*((-6)\/(-21))\/((-5)\/(-280))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66265467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 224?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-195)\/(-26)*70\/3. Let z = p + -81. Suppose 0 = 2*g - 8 - z. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804197 at least as big as 1804196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1472*s**2 - 4*s - 2981 - 2972 + 5953)*(-2*s**3 + 4*s**3 + 0*s**3).\nAnswer: -2944*s**5 - 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-20))\/(98\/(-392))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4698*p = 4697*p + 9*i - 32, i - 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 9. Solve -6*a = -v*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 25. Let u be (-30)\/z*(-8)\/(-3). What is the third derivative of -2*j**u + 14*j**2 - 7*j**2 - 6*j**4 wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0)\/((-138)\/(-9)*-3).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*p - 579. Let m be -33 - 3 - -3*1. Let d = m + p. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 - 5) + -1 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 242760779 to the power of 1\/2, to the nearest integer?\nAnswer: 15581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -4 (b) 1213 (c) 60 (d) 0 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 18. Let a be c(3). Is -38\/5 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2800518 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1107191*l**3 - 1107193*l**3 + 17*l + 2214388*l**3.\nAnswer: 4*l**3 + 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 7*j + 4*j, 3*j = -2*t - 6. Solve -2*z = -4*l - 0 - 12, -3*z + 12 = -t*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 4*y**3 - 3*y**3 + 0*y**3 - 2*y**3 + 4*y**3 + (-5*y**3 - 2*y**3 - 3*y**3)*(6 + 3 - 4).\nAnswer: -51*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 5 + (-4 - -1). Differentiate 4*s**2 + r - 4*s**2 + 5 + 3*s**2 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -171*k - 852. Calculate q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 16. Let k = x - -11. Solve -i - 4 = -r + 2, k*i + r = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**8*n\/(n*n\/(n*n**(5\/2)*n))*n*(n**(2\/7)*n)**(4\/19))**(-24) assuming n is positive.\nAnswer: n**(-43956\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-5))\/a)\/(a\/(a\/((a*a\/(a*a*a**(-3))*a)\/a))))\/(a**(-2\/15)\/a*a**0)*((a**1)**(1\/8))**(4\/5) assuming a is positive.\nAnswer: a**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*o + 5 + 11, -3*o - 18 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, d: 3, w: 3, s: 4, y: 4}. Give prob of sequence vd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-190)\/4))\/((-1)\/1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, 18, -2, -170, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 2*a - 4. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42490 = 124*w + 53154 for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 86?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t. Let r(z) = 1459*z**4 - 12*z**3 + 5*z**2 + 12*z - 26. Let x(i) = 12*m(i) + r(i). What is the third derivative of x(u) wrt u?\nAnswer: 35016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(-3*x - 5*x + 37*x) in the form z*x + p and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 7\/117, -3?\nAnswer: 7\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -35*21\/45 + 18. Let j(l) be the third derivative of r*l**3 + 0 + 0*l - 11\/24*l**4 + 11*l**2. What is the derivative of j(x) wrt x?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5\/11 - 174*z**4\/11 + 186*z**3 - 4244*z**2\/11 + 1632*z\/11 = 0. Calculate z.\nAnswer: 0, 1\/2, 2, 17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-8)\/1680*-28. What is the biggest value in 5, -740, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570390.\nAnswer: 2, 3, 5, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -11938?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 4, -34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(343) + 0 + 5 - sqrt(343))*-6)**2*-2.\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/11))**(-49)\/(((y*y**(-1)\/y)\/y)\/y*y*y**30) assuming y is positive.\nAnswer: y**(-259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -44\/18963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 23094*w**2 + 0 - 7636*w**2 - 7631*w**2 - 7821*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 7*y = -20. Suppose 0 = -3*b + 2*k + 1 + 8, -5*k + y = -b. Solve 0 = -j + b*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4224443609 to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3042*g**3*v + 23*g**2*v + 16*v wrt g.\nAnswer: -18252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(1 + sqrt(176) + 4) - 1*(sqrt(176) + 2 + -1)))**2.\nAnswer: 176*sqrt(11) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6683, 13315, 19869, 26345, 32743, 39063?\n\"Answer: -39*b**2 + 6749*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j - 12 = 66*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 233, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r - 9. Let o(d) = 5*d + 3. Calculate -4*j(x) - 11*o(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111.71 from -497.\nAnswer: -608.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/25)\/(-308)*(-22)\/(-16)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(30\/(-20))*9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f - 25. Let c be k(3). Solve -3*g + 2 - 11 = -3*i, -2*g + 4*i - c = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7389773 or -7389774?\nAnswer: -7389774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 45. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*m + 13*m + 54*m + 16*m - 122*m + 23*m.\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -461*q**4\/2 - 182*q - 618. Find the first derivative of o(b) wrt b.\nAnswer: -2766*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 293213*g\/2 + 146607.\nAnswer: -(g - 293214)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: e3574 (base 16) to base 15\nAnswer: 135d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00698025 to four decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-87)\/(-29) + (1*-1)\/(-1). Solve k*j - 15 = 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13734 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 66240.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - 2623313\/(-33). Let f be h\/15 + (-6)\/(-15). What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(p**3\/p*p))\/(p**2*p*p\/p**(-2\/15)*p) assuming p is positive.\nAnswer: p**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14193551 is divided by 67267.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3097 and 38019.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 2*s - 1. Let g(b) = -b**3 - 11*b**2 + 10*b + 5. Determine 2*g(p) + 11*w(p).\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081315 is divided by 1081308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 5*a**2 + a**3 - 6*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 - 146*j\/3 + 616 = 0.\nAnswer: 14, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(2\/65)\/f*f)*f)**36*(f*(f\/f**(1\/12)*f)\/f)\/f*f**(1\/2) assuming f is positive.\nAnswer: f**(84481\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.1154, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 3, o: 7}. What is prob of picking 2 o?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a week in minutes?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10652837 is divided by 355.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(162\/(-28))*(-258)\/301?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcdcdcdssdcddddds. Give prob of sequence sssc.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17\/((-595)\/(-30)))\/(42\/60956).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.2737 rounded to the nearest integer?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.73 - 0.43. Which is the closest to -0.3? (a) -1 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 2. Suppose q = y*q. List the prime factors of 0 + q\/3 + 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 231707*b + 9243. Let g(k) = -1355*k - 54. Determine 1027*g(d) + 6*q(d).\nAnswer: -1343*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 53*u - 3*u**4 + 53*u)*(-2*u + 2*u - 2*u).\nAnswer: 6*u**5 - 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0 - 5*k + 3*k - k + 2*k + 0*k - 1 - k + 1 - k + 4*k - k + (-1 + 1 - 1)*(-k + 3 - 3).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027493611?\nAnswer: 71, 2971, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-9)\/(-3) + -282. Let d be (u\/(-6))\/(-5)*-4. Let q = d - 23. Solve 4 = 2*z + f, -3*z + q = -5*f + 35 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - 6)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 1623*c - 1626*c. Solve 3*y + 2*w = -14, c*w - 22 = 5*y + 5*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = 5*p - 106, 4*p - 243*w + 235*w - 32 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.5. Let m = 2.2 + 0.8. Let x = 3 - m. Put i, x, 1 in ascending order.\nAnswer: i, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d, 0 = -2*j - 0*d + 2*d + 44. Let y = j - 9. Let z be (-1 - -2) + y + -5. Solve -5*p = -p - m + 2, p + z = 5*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let f be o(2). Suppose -18*i - 13*i + 78 = -5*i. Sort -12, f, -3, i in descending order.\nAnswer: i, f, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1804 divide 98520048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 939*w + 104462. Calculate p(-108).\nAnswer: 3050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08672 and 0.2162.\nAnswer: 0.12948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 0 - (33 - (-3 - -28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 414962130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**2\/7 - 795812*o\/7 + 79164592418\/7 = 0.\nAnswer: 198953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*n**5 + 8\/5*n**4 + 12\/5*n**3 + 0 + 2\/5*n + 8\/5*n**2.\nAnswer: 2*n*(n + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*y = 0, -6*y + 3*y = -5*x + 25. Suppose 2*t - 310 = -x*i, 2*t - 2*i - 275 = 31. What are the prime factors of t?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*x - 3*x - 12*x.\nAnswer: -75*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82002465 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2 (b) 4\/9 (c) 0.03 (d) -10\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*g + 471 + 183 = -261 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzrzzzrrzzrzrzzzr. Give prob of picking 1 z and 1 r.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 60 + 3. Suppose r*m = -0*m + 72. Let b(p) = p**3 - 7*p**2 - 8*p + 9. Give b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - -58 - (-5 + 29)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35307 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2016)\/1056)\/(3\/(-22))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 - r + 1. Let k(n) = 986*n**3 - 5*n**2 - 5*n - 96. Let z(h) = k(h) - 5*v(h). Find the first derivative of z(f) wrt f.\nAnswer: 2973*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/15, 6, 117, 0.3, 2, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10504203 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19943 - 11423*g + 13106 - 40011 with respect to g.\nAnswer: -11423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o)**(1\/8) assuming o is positive.\nAnswer: o**(13\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 384, 386, 388, 390, 392, 394?\n\"Answer: 2*l + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-70)*(-3)\/9*-3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 + 182445*r**4 - 6*r**3 - 470*r**2 + 2*r - 495 wrt r?\nAnswer: 120*r**2 + 4378680*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + (0 - -4) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122189526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -11. Let t(o) = o**3 + 7*o**2 + 3*o + 4. Let m = 20 - 4. What is the smallest common multiple of t(q) and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c**14)\/((c\/c**3)\/c)**(-22) assuming c is positive.\nAnswer: c**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -69485692\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:19 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + 660. Let f = -25827\/35 + d. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -54*c + 25. Let p be f(-3). Let u = p + -183. Solve -2*b - 12 = u*y, -b = 4*y + 20 - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1203, 1145, 1089, 1035, 983, 933, 885?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) + 804\/42. Let s = 22 - y. Suppose -k - 5 = -s*v, 0 = -3*v + k + 4*k - 11. Solve 5 = t + v, -4*t = 3*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 643740.9239713 + -643741.5. Let g = p - -0.576. What is g rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -1654887?\nAnswer: -1654887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbbbaqbx. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10*m = 36. Let h = 15 + m. Solve -h = -5*z + 4*y + 26, 23 = z - 4*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 817 = 3*q + 36, 8*f - 3*q - 1363 = 0. What is the highest common divisor of f and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 y when three letters picked without replacement from {g: 10, d: 2, y: 1, s: 1, p: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x)*(30*x - 30*x + 15*x**3).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 2880*t + 25828685.\nAnswer: -5*(t - 2579)*(t + 2003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28908 divided by -2409\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*j**2 - 2151*j**2 - 331*j**2.\nAnswer: -3089*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1*(-9 + 8). Suppose -4*d + 6 + 2 = y. Solve 2 = b + b - d*v, b + v = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 92*a + 50. Calculate the remainder when b(25) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 17*s + 66. Let b be u(-12). Suppose -15 = -3*j + b*j, -4*r + 5*j + 453 = 0. Is 109 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5438)\/(-30) - (-2)\/(-3). Let w = r - 186. Let i = 1339\/4613 - 3\/659. Find the common denominator of w and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 182409404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 6, -2, -6, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.1 + 49?\nAnswer: -176.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 + 62*m**2 + 44*m + 67. Is u(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20633001 (b) 2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 5443680.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:00 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135903*v + 135907*v = 6*l + 14, -5*v + 5*l = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q - q + 0*q)*(1 - 4 + 1) + (4 + 2 - 5)*(1 - 1 + 2*q) + 2*q + 2*q - 5*q)*(0*q - 3*q + 2*q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -161 != -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) + 3*(-78)\/(-252)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 30*t**3 = 0.\nAnswer: 0, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3971713 is divided by 1162.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3456 and 1512?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + t**2 + 5*t + 1. Let y(u) = -1029*u**3 + 12*u + 1287. Let p(a) = 2*m(a) - y(a). What is the first derivative of p(v) wrt v?\nAnswer: 3099*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/(-22) + (-8)\/44. What is the lowest common multiple of 1*(0 + (-1)\/(-5))*u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/3 + 58*y**2 + 3364*y + 195112\/3 = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89b (base 14) in base 15?\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*k + 31, -5*x - 16 = -5*k - 51 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 90. Let p(o) = 20*o. List the prime factors of p(l).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59182\/20 - (-7)\/(-70) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*n**5 + (n**3 - n**3 + n**4)*(-n + 1 - 1) + n**5 - n**5 + n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.618111 + -618141.\nAnswer: -618122.381889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11. Let p = 0 + v. Suppose i - 6*i = -4*h + 18, -2*i + 4*h - 12 = p. Is i at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -v + 5, -20 = -4*v + q + 4*q. Suppose 0 = -x - 1 + 12. What is the smallest common multiple of x and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*8\/3*273\/14. Calculate the highest common divisor of 224 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:53 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26.61139 millennia?\nAnswer: 266.1139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -2 + (-105 - -107)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5990452.\nAnswer: 2, 13, 115201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 23*o**2 + 38*o + 37. Let s = -542 - -565. Is q(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11244878*h**4*r**2 + 15*h**2*r**2 + 2*h**2*r - 59338*h**2 - r**2 wrt h.\nAnswer: -269877072*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o + 62*o - 2 = -5*i, -22 = i + 5*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 12. Suppose 0 = -3*l - y*a + 130, l + a + 6 = 51. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587518 divided by 1.\nAnswer: 587518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056371 is divided by 37732.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -v - 36, a - v - v + 5 = 0. Suppose -x + 6 = 5*q + 62, 2*q - 5*x = -17. Is a equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.088 in -100\/51, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77144544 rounded to the nearest one hundred thousand?\nAnswer: -77100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 43\/(-20)*(-45)\/36 + -3. Which is smaller: -1\/2 or s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 3*w - 3 = -5*z, -2*z - w = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - m - 10. Let q(j) = j**2 + j - 1. Let y(w) = -p(w) + 6*q(w). Let o be y(-5). Suppose 251*k - 266*k - 75 = 0. Is k >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-100)\/350)\/(5\/(15\/(-279))). What is the third smallest value in -2\/9, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/30 - d**5\/20 + 3*d**4\/8 - d**3\/3 - 5*d**2. Factor a(f).\nAnswer: -(f - 1)*(f + 2)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 - g**2 + 3*g. Let p be k(-6). Solve 4*r + 21 = -c, -c - 10 = p*c + r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s - 2. Let o be x(6). What are the prime factors of o\/(5 + -7)*227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 + 230. Is (-2265)\/(-9) - (-3)\/(27\/j) 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 2:35 AM and 5:41 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + 0*d)*(0 + 0 + 1)*(-5*d**2 - d**2 + 3*d**2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 + 7*c + 12. Give u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(7*(-10)\/315).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = -4*f, -4*g - 4*f + 29 = -3*g. Let a = -228 + 149. Let i = -33 - a. Calculate the remainder when i is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 - 44*g + 40*g - 5*g**3 + 7*g**2 + 8. Determine u(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*56\/133.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 41. Which is bigger: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three quarters of a litre?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(7\/4)*w)**(-12)\/(w**9\/(w\/w**(-1\/34))))**(-38) assuming w is positive.\nAnswer: w**(49723\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19139213 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 4, m: 3}. What is prob of picking 1 p and 1 f?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 167\/(-1)) + 0. Let m = -129 + b. What is the highest common divisor of m and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:04 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 1112090*v - 5560575.\nAnswer: 5*(v - 222423)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrh when four letters picked without replacement from rrrhhhr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 98996291?\nAnswer: 494981455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 13*m + 28. Let i be d(-2). Let j(r) = -1934*r**3 + 2*r**2 - 2*r - 3. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245032477 and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 441*g - 376*g + 1690 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54093824 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 3442610*z - 10327875.\nAnswer: 5*(z - 3)*(z + 688525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-4 + 3 - 374*w + 2199*w) as z*w + d and give z.\nAnswer: 1825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.6 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -123*d - 2. Let o be b(-1). Let c = o + -123. What is the smallest value in c, 3\/5, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-20)*-2)\/((-725)\/(-7250))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*l + 6*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) -5\/9 (c) 0 (d) -0.4 (e) 2561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*s = 7*s + 83, 4*s = -4. Let a = 37 + n. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/4 (b) -2\/27 (c) -29 (d) -5 (e) -2\/9 (f) 26.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 32*o**4 - 316*o**3 - 728*o**2 = 0.\nAnswer: -13, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 20. Let y(v) = v**3 - 4*v**2 - 4*v + 3. Let g be y(5). Suppose 3*q - 2*q + g = 0. What is the tens digit of o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148977590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2344 = -626. What is k rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. List the prime factors of (28\/w)\/((-8)\/(-12)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvmj when four letters picked without replacement from ojvvhheemevehe.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (-2 + sqrt(1900) + sqrt(1900) - sqrt(1900) - sqrt(1900))*3)**2 + (sqrt(1900) - (sqrt(1900) + -1 + 1)).\nAnswer: 120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose -i = i - 4. Calculate the smallest common multiple of i and t\/(-6)*(-43 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 50541.\nAnswer: -10\/50541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/35 - 88\/(-14). Let h = 6 - q. Suppose 4*z + z = h. Solve z = 4*f - 10 - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by 15\nAnswer: -364\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13143404 - 3?\nAnswer: -13143412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 + -286.4. Let w = -29.60000133 + n. Round w to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2, 0*h - 4*l - 4 = 3*h. Sort 3, 5, h.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/10)\/((-8)\/(-20)). Suppose -4*d - 13 = -x, -4*x + 2*d + 16 = q*d. Suppose 0*k - 14 = 2*g + x*k, 3*g - 29 = 5*k. Solve 10 = -5*p + g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 7*a - 25)*(-3*a + 7*a + 0*a + (-a + 1 - 1)*(-3 + 0 + 2) + 0*a + 4*a - 5*a - 3*a + 3*a + 3*a) + (4*a**2 - 3*a**2 + 2*a**2)*(1 + 4 - 4).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -182037 divided by 3978\nAnswer: -60679\/1326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 212. Does 28 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220220101012110 (base 3) to base 12.\nAnswer: 4522979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1598, 4 in ascending order.\nAnswer: -2, 4, 1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 768390473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -47533 - 47534 + 7*l + 95067. Let f(i) be the first derivative of i**3 - 2. Determine f(u(a)).\nAnswer: 147*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13331132333 (base 4) in base 7?\nAnswer: -23511050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 629, 968, 1323, 1694?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-1\/4)\/o*o*o*o*o)))\/o**12*(o*o**1\/o)\/(o**(-7)*o))**(3\/2) assuming o is positive.\nAnswer: o**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -10\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + d)*(0*d + d + 0*d)*((2 - 5 + 2)*(3 - 1 - 1) + 3619 + 1912 + 3876)*(-2 - 2 + 0)*(1 + 1 + 0) as b*d**2 + m*d + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 - ((-224)\/14 + -2). Solve 138 = -o*w + 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 1 - (-80 + 133)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10332 - -4?\nAnswer: -10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -x - 8, 5*x - o + 8 = -0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 61*n + 371 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98311004 a multiple of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*l**4 + 59*l**4 + 0*l**2 - 3*l**3 + l**2 + 64*l**4 in the form t*l**2 + p*l**3 + y*l + f + b*l**4 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162)*5 + 3 + (sqrt(162) - -4*-3*sqrt(162) - sqrt(162))*-4)*4)**2.\nAnswer: 76320*sqrt(2) + 7281328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 47662*c**2 + 286026*c + 429066.\nAnswer: -2*(c - 23837)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135110220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f - 2. Suppose -1367*x + 1354*x + 26 = 0. What is r(x)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*p - 1645 - 15053. What is the highest common divisor of p and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -5.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 17 = -5*n, n - 3*s + 1834 = 1823 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*f - 79, -3*f + 2*f + 85 = -q. Let g = q + 181\/2. Let s be (-1)\/(-1)*(-4)\/(-2). Which is the nearest to s? (a) g (b) 0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11070670, -44282690, -99636058, -177130774, -276766838, -398544250, -542463010?\nAnswer: -708523118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 0.2, -12\/17, -2 in decreasing order.\nAnswer: 0.2, -12\/17, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 62 + 65 - 239 + 68 + 48*c**2 in the form t + o*c + n*c**2 and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10010\/13013)\/(5\/26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 1828*m**2 - 3654*m + 2. Calculate w(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -13*q**4\/3 - 4*q**2 - 3*q - 84. Let t(z) be the first derivative of -z**3\/3 + 3. Determine t(w(u)).\nAnswer: -10816*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**7\/735 + a**6\/210 - a**4\/42 + a**3\/21 + 153*a**2\/2 - 188*a. Let s(i) be the first derivative of v(i). Factor s(c).\nAnswer: -2*(c - 1)**3*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54552300 (base 6) to base 3.\nAnswer: -10001220222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + 2*h)*(4*h**2 - 5*h**2 - 3*h**2)*(7 - 7 - 7*h).\nAnswer: 56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85544 + -96280.53.\nAnswer: -96281.38544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*z + 5*j, 2*z + 42*j - 34*j = -38 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22296 and 123672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 2 (c) 1\/5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352829499.\nAnswer: 3, 11, 23, 59, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -4525305?\nAnswer: 4525332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2. Let i(c) = -121 + 3*c**2 + 245 - 122. Let v = -24 - -17. Let j(k) = -10*k**2 - 7. Let h(l) = v*i(l) - 2*j(l). Determine w(h(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 8. Let l be p(12). Suppose 0 = -17*g + 21*g - l. Solve -g*w - 2*r + 25 = 3*r, 20 = 4*w + 2*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.42 - 0.5. Let i = -0.11 + 0.91. Let u = i - t. Round u to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 8. Let w(c) = 6*c - 13. What is 8*t(q) - 5*w(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*q + 27, -2*d - 18 = 4*q - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 15*j - 12. Let t be v(-16). Solve -3 = t*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32732307 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(-4*r**2 + 4*r**2 + 2*r**3)*(0 + 0 - 3*r**2).\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -52.3, -7 in descending order.\nAnswer: 4, -7, -52.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 0*h**3 - 313*h**4 + 3*h**2 + 315*h**4 - 5*h**3 as q*h**4 + u*h**3 + w*h + c*h**2 + l and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4250 is divided by 121.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/(sqrt(18)\/sqrt(3)))\/sqrt(2) + -1*(sqrt(85)\/sqrt(5) - sqrt(17))*-5)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-60))\/((-3)\/((-18)\/(-11))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 3*t - 1. Let v(y) = -y**2 - 6*y - 2. Let i(c) = -5*h(c) + 3*v(c). Let o be i(-1). Factor 0*l + 0 - 2\/11*l**2 + 2\/11*l**o + 0*l**3.\nAnswer: 2*l**2*(l - 1)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -225*u**2 + 1235330*u - 2383935610. Let f(y) = -7*y**2 + 38604*y - 74497988. Let z(k) = 2*b(k) - 65*f(k). Let z(o) = 0. Calculate o.\nAnswer: 3860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -29. Suppose 2*f - q = -9. Let w = 5 - f. Solve 17 = -w*r + i, -i + 10 + 11 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/9 and 11\/1497.\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/(-4))\/3 + (-143520)\/(-9660).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 6, u: 2, r: 4, z: 6}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15424664 + -3?\nAnswer: 15424661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(57)\/sqrt(3))*-1.\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98336?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201\/371 + -6\/53. Which is the biggest value? (a) 2 (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 41068?\nAnswer: -41055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -662 - -629 - (4 - (8 + 0 + 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*x = 272, -2*x + 361 = 4*q - 11. Calculate the remainder when 212 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/930)\/(13\/(-52)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178, 271, 1020, 2069, 3418?\n\"Answer: 150*h**2 - h - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-1))\/1)\/1*(-225)\/(-900).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -5, 13, 35, 55, 67, 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b + 83. Suppose 0*y + y + 2*c + 9 = 0, 0 = -c + 1. Let j = y - b. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/7 - (-6)\/21. Suppose -2*t - 3*w = 11, 5*t - 3 = -w + c. Let b = t - 5. Find the common denominator of 46\/11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*z + 4*m, 0 = z - 3*m + 2*m - 7. Solve z*o = -o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3934 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (4 - (21 - 18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 19*a)*(9 - 9 + 3*a).\nAnswer: -57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-30) + (-3)\/9. Which is the second smallest value? (a) -2 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 35) + 2 + (3 - (-2 + 6 - -4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-4) - (-6)\/4. Let l = -3 + u. Find the third derivative of -5*s**4 + 2*s**2 - 3*s**l + 2*s**4 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 7, l: 1, q: 5}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 12. Let c be ((-3)\/(-2))\/(q\/(-12)). What is the smallest value in 3, -0.11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 3. Let l = o + -3. Suppose 16 = 2*k - l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = -369*c + 371*c - 176, -2*c + 11 = -v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -284*x. Let r(f) = 23*f + 383. Calculate k(r(y)).\nAnswer: -6532*y - 108772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 231, 201, 153, 81, -21, -159, -339?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39573278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23*a**2 - 138. Let m(x) = 1. Let j(f) = -138*m(f) - n(f). Suppose 0 = 108*s - 105*s - 270. Let u(v) = -s - 2*v + 90. Determine u(j(w)).\nAnswer: -46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -253 and 167?\nAnswer: -42251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -202780, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -652 (b) 3\/8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**15\/q)\/q)*q*(q**39*q)\/q)\/((q**(-19)\/q)\/(q*q**(-2\/19))) assuming q is positive.\nAnswer: q**(948\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 10 - 22 - 16*p + (-1 + 1 + 2*p)*(-2 + 2 + 2).\nAnswer: -12*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 5*u**2 - 1. Let p(q) be the first derivative of -5*q**3\/3 + 157. Determine p(o(w)).\nAnswer: -500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 3. Let c be q(2). Suppose 5*r - c - 1 = 0. Suppose 70 = r*y - 10. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*p, 2*r + 2*p - 8 = 6*p. Let s(t) = 2*t + 5. Let x be s(r). Let h be -1*(1 + 4) + 1. Put x, h, -3 in decreasing order.\nAnswer: x, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 less than -65?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 15540021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1526 - 633248?\nAnswer: -634775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -83. What is the remainder when 148 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13\/4, -18\/103 in decreasing order.\nAnswer: 0, -18\/103, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 0 + 0. Let v(t) = -11*t**2 + 20*t**2 - 3*t**2. Give g(v(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - 1)*(-10 - 14 - 1)*(-29 + 4*u - 34 + 53) in the form c*u + i and give i.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/36 and 145\/138.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14644 + 14643.748. Let h = -4.1 - -4. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -145135452?\nAnswer: -145135454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3 = -n, 1110*n - 1106*n = -3*v + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqh when three letters picked without replacement from {q: 1, h: 8, r: 1, x: 2, v: 6, c: 2}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 35 = 3*j, 5*a + 16 + 20 = 4*j. Let i be -1*(-4)\/a*4. What are the prime factors of 1 - (4 + i - 19)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17692 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*g - 4*g - 20*g)*(10 - 2 - 2) - 9*g + 7*g - 21*g + (-2 + 3 + 1)*(-1 - 2*g + 1) - g - 2 + 2 + 0 + 0 + 2*g as l*g + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -685.492669 rounded to 1 decimal place?\nAnswer: -685.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 13. Let k(n) = -o*n + n**2 + n**3 - 1 + 2*n**2 - 2. Suppose -4*h - 16 + 0 = 0. Give k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519409\/9 or 57711?\nAnswer: 519409\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289.47 and 5.\nAnswer: -1447.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -552, -507, -432, -327, -192, -27, 168?\n\"Answer: 15*m**2 - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 4:37 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(4\/2))\/((5100\/(-2160))\/(-17))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {n: 10, b: 1, m: 7, t: 1, r: 1}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + r**4 + 3*r**4 + (r**3 + 0*r**3 + r**3)*(3*r - 2*r - 3*r) + 18871*r + 440*r**4 - 18871*r.\nAnswer: 438*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2522?\nAnswer: 1008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.151 + -43.127837. What is y rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2 + 49 - 6.\nAnswer: -w + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -185*-156\nAnswer: 28860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 68500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 15. Let m be 7 - (-6 - 3)\/3. Let i be (-1 + -1)*m\/4. Let q be v(i). Solve 4*h = -3*u + q, -3*h - 2*h = u - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 147, -7202.\nAnswer: -7202, -35, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -918 - -931. What is the remainder when 271 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -727, -773, -853, -979, -1163?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*t - 606*t + 347*t - 405 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2. Let u be p(1). Suppose u = 26*m - 25*m + 6. Let o(b) = -2*b**2 - 10*b - 7. Calculate o(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6824, -6862, -6900?\n\"Answer: -38*j - 6786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.5993 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -307*n**3 + 2*n**2 - 2416 wrt n?\nAnswer: -921*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736*a + 1708*a - 3480*a = 1548 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2604)\/186*(-8)\/(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiimi. Give prob of sequence ii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + n + 52 = 18, -u - 2276 = 76*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15645, 15688, 15749, 15822, 15901, 15980, 16053, 16114?\n\"Answer: -t**3 + 15*t**2 + 5*t + 15626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(3)*-3 + -3)*-2)**2.\nAnswer: 72*sqrt(3) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 42 = 167. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 11 = -5*x, 2*x + 117*z - 122*z - 42 = 0. What is the second smallest value in 3, x, -21\/16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 7. Let d(z) = -z - 6. Calculate 3*d(u) + 2*q(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4*i**2 - 13 + (-3*i + 5*i + 0*i)*(-3*i + 0*i + 4*i))*(2312*i**2 - 7*i**3 - 46 - 2312*i**2).\nAnswer: 14*i**5 + 92*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l - 1. Let q be n(2). Let y = -5 - q. Solve -5*k + 2*h + 4 = 5*h, -4*h = -4*k - y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.64 * -53\nAnswer: 298.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4523*n. Let p(t) = -4927*t. Determine v(p(i)).\nAnswer: 22284821*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 694405.7 millennia in years?\nAnswer: 694405700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -16. Suppose -5*j = q*t - 5 + 20, 0 = 2*t + j - 5. Let w be (0 - 1) + (1 - 1). What is the nearest to 2\/7 in w, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.38115 - -7.\nAnswer: 4.61885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 22*i**2 + 21*i + 48. Let t be a(23). Put 5, t, 26 in descending order.\nAnswer: 26, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 + 278*d**4 + 6704*d**3 + 55512*d**2 + 150336*d + 127872 = 0. Calculate d.\nAnswer: -111, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*(-54)\/60*270\/216?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -87378 + 87378 - 3*m - m**2. Let p(j) be the second derivative of 2*j**3\/3 - 3*j. Give p(n(s)).\nAnswer: -4*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:56 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (3 - 205\/35). Let b = -252 + 254. Factor -4\/7*x**5 - 1\/7*x**b + 0*x - w*x**3 + 0 - 9\/7*x**4.\nAnswer: -x**2*(x + 1)**2*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 15*k + 10*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128916773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let v = -73 - -75. Let g be w + (v - 3) - 2. Sort 4, -4, g in descending order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 6. Let p(z) = 1. Let r be ((-20)\/20)\/((-2)\/16). Let i(w) = r*p(w) - d(w). Differentiate i(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153290 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1952, 1831, 1606, 1223, 628, -233, -1414, -2969?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1090389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0 + 25\/3*j**3 + 26*j**2 + 0*j + 1\/12*j**4. What is the first derivative of k(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/(-280) + 18\/8. Let j(x) be the second derivative of 0*x**3 + 2*x**l - x + 1\/4*x**4 + 0. Find the first derivative of j(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85965 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: Is 43075367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 269580.\nAnswer: 269581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/26377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 171 - 27 = 0. Let a = q + 74. Solve c + 11 = -5*k, 0 = 2*k + 2*k + a*c + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let t(c) = 6066*c**2 - 13*c + 1. What is t(u(n))?\nAnswer: 54594*n**2 - 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/7*n**3 - 10\/7*n + n**2 = 0 for n.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + h - h - 14 - 2*h - 3*h. Give f(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w. Suppose 5*p - 713 = 4*u - w*u, -3*u = -3*p + 429. Let s = p + -83. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from alhlaahhhhljjhj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*j - 25, -23 = -5*j + j - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(300)).\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in 2\/7, -1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*a - 69, a = 3*u - 4*u + 15. Let v = 17 - u. Let f = 43 - 259\/6. Sort f, 0.1, v.\nAnswer: f, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 4. Suppose 3*k - 4*k = -4*n + 11, 5*k - 41 = -4*n. Suppose -43 = -n*l + a, c*l - 3*a - 30 - 19 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254\/55 - -24\/5. What is the third biggest value in -4, 0.3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*o + 5*n, 4*n + 8 = -2*o - 10. Let t(k) = -5*k + 1. Let y be t(1). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42943076 a multiple of 1481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 + 2*w**2 - 5*w**2)*(29*w - 84*w + 202*w) - 4*w**3 + w + 3*w + 2*w**3 in the form i*w + s*w**2 + v + z*w**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 59. Give y(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 153*p**2 + 5*p - 1108*p**3 + 1100*p**3 + 134*p**2 as f + v*p + c*p**2 + n*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 13*q + 76 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/(o*((o\/(o*o**0*o))\/o)\/o*o)))\/o)\/o)**(5\/7))**(14\/5) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81783986233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 32. Let y be 3*(u\/(-6))\/4. Suppose 0 = -3*k + 4*r + 72, -r = -k + y*r + 24. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-2)\/(-2))\/((-2)\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*-2*(1 + (2*sqrt(245) - sqrt(5)) + -2 + sqrt(25)\/sqrt(5))**2.\nAnswer: -224*sqrt(5) + 7847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -0.1, 1\/7, 27\/2, 0.2, -29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.6694 * 6.55.\nAnswer: -148.48457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d. Let y(m) = 39981*m. Give y(t(v)).\nAnswer: -399810*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101100220 + -11?\nAnswer: 20101100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 197361581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 9, y: 2, f: 2, u: 3, l: 3}. Give prob of picking 1 w and 2 u.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/34191770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 2*s + 4*k - k, -2*k + 4 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58954*t*w + 1077323*t - 2*w wrt w.\nAnswer: 58954*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 + 441222*g**2\/7 + 59150682*g\/7 + 283121230.\nAnswer: -2*(g - 220745)*(g + 67)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = t, 0 = 2*y + t - 10 - 5. Suppose m + 3*v = 2, -y*m + 4*v = -10*m + 65. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9 + 13)*4*-12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 47, 110, 229, 422, 707?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*f - 2*f + 3040, -2*w = -4*f + 2426. Suppose 3*d = -3*i + 3990, -i = 5*d - 742 - f. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/5 != 3723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*j - 5 = 0, 0*j = -3*y + 3*j - 3. Suppose 2*h - l = 3*h - 5, h = -3*l + 7. Suppose -y + h = 2*z. Sort 5, z, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22303133 (base 4) to base 12\nAnswer: 2173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 6:08 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3093.68246 + -66018.78194. Let k = 62924 + y. Let v = k - -1.1. Round v to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*s + 54*s + 56 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 24. Let n = 18\/7 - 20\/7. Let y = 292.4 - 296.4. Which is the nearest to n? (a) -0.2 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 15*k - 9. Suppose 2*s - 5 = k. Suppose 2*c - s*t - 26 = -t, -3*c + 3*t = -45. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 15. Let c be 3\/(-6*u\/(-60)*-5). What is the third derivative of 4*o**2 + 2*o**3 + 8*o**2 + 2*o**c - 5*o**2 wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -808, -833, -878, -949, -1052?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -1.341, -2\/3, 7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 274270*f - 548525. Calculate a(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 108 = 7*d. Let o be 56\/d*(-12)\/14. Solve 6*w = o*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68334 is divided by 7592.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2425 + -1443. Is g a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeoe when four letters picked without replacement from {z: 3, f: 1, o: 1, e: 5, j: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135145 (base 6) to base 3.\nAnswer: -10000120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1811, 3641, 5465, 7277, 9071, 10841, 12581, 14285?\nAnswer: 15947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 + 7*n**2\/2 - 6*n - 2. Let l be b(6). What is the second derivative of 2*i + l*i - 3*i**2 - 4*i - 3*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 365*d**2 - 807*d**2 + 362*d**2 + 79*d**2 + 2*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/45*-15 - (0 + 3). Solve 0 + 36 = -l*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(63\/(-35)) - 10913\/95. Let v = c + 602\/5. Factor 0 + 4\/19*q**2 + v*q**3 + 0*q + 4\/19*q**4.\nAnswer: 2*q**2*(q + 2)*(2*q + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -218 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*((-4860)\/(-54))\/18)\/(1\/9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - (-5 + 2 + 2\/1). Suppose 0 = b*h - 7*h - 13488. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323020 or -323021?\nAnswer: -323021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3531 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmq when three letters picked without replacement from {m: 2, h: 1, q: 5, f: 3, y: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Suppose 2005 = -389*y - 12*y. Put 0, 14, y, n in ascending order.\nAnswer: y, n, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 69*d**2 + 77*d + 68. Let w be z(68). What is the highest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, 1\/4, 3\/7, 19?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6702 - -4.41\nAnswer: -6697.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 108*h**4 - 10*h**3 - 90*h + 2302. Let l(v) = 107*v**4 - 8*v**3 - 72*v + 2303. Let u(j) = 5*l(j) - 4*x(j). Differentiate u(b) with respect to b.\nAnswer: 412*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -17. Suppose -n + 2*x - 5*x + 10 = 0, 0 = 2*x - 4. Let r be ((-539)\/(-28))\/(1\/n). What is the highest common divisor of r and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 - l - 1. Let o(y) = 13*y**3 + 19*y**2 - y + 8. Let q(c) = 6*c**3 + 9*c**2 + 4. Let d(g) = -4*o(g) + 9*q(g). Determine d(v) + 4*h(v).\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -637992*k + 636838*k + 120016 for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1 + 0*d + 2*d - 1 - 6. What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y**2 + 8*y + 53. Let n(w) = 3*w**2 - 2*w - 13. Calculate 9*n(v) + 2*r(v).\nAnswer: -3*v**2 - 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -2. Let b be (q\/(-3))\/(1\/(-3)). Suppose 376 + 549 = b*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6841588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 65?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w + 5*s + 20, -4*w + 24 = -s. Suppose a - 18 = -w*a. Suppose 4*c = -a*z + 2*c + 319, 5*z = -2*c + 537. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j - 9556*j**2 + 25*j + 6*j + 2*j.\nAnswer: -9556*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(-4*10\/(-600)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*n - 7, 1 + 7 = 4*r + 4*n. Solve -r - 1 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Let s = 11 - 9. Which is the nearest to x? (a) 0.1 (b) s (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -5, -854, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35466*0.57.\nAnswer: -20215.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3640 is divided by 1819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than 39\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -9*y + 0 + 1\/160*y**5 - 11\/24*y**3 + 5\/96*y**4 + y**2. Factor x(n).\nAnswer: (n - 2)*(n - 1)*(n + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Let a(u) = -2 - 6*u**2 + 13*u**3 - 2 - 12*u**3 + f*u + 7. Let p be a(5). Solve -p*s + 0 = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 143?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (0 + sqrt(80)*-5)*5)**2 + -2)*2 + -3.\nAnswer: -2000*sqrt(5) + 100043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = s + 5*h, 4*h = -4*s + 2*h + 20. Suppose -s*r = -0*r - 20. Solve j + 2*f - 20 = 6*j, -3*j - r*f + 19 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (87 + 26 + -98).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*k + 960*k - 101*k)*(1 - 4 + 4) - 3*k - 4 + 4 - 3*k - 3*k + 5*k + (4 - k - 4)*(-4 + 4 - 2) in the form d*k + b and give d.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1128492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14569598 - 0?\nAnswer: 14569598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.34, 0.5, -0.69, -1\/5 in descending order.\nAnswer: 0.5, 0.34, -1\/5, -0.69, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*i - 896 = 1162*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.98 - 0.02. Sort -3, -6\/5, a, 1 in descending order.\nAnswer: 1, -6\/5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3096119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11350979*r**3*w**2 + r*w**2 - 2*w**2 + 54*w - 2322 with respect to r.\nAnswer: -34052937*r**2*w**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 89 = 5*p + 101, -2*p = -o + 36. Suppose -o*l - 12 = -41*l. Suppose -l*j = -j - 2508. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**(15\/8) assuming q is positive.\nAnswer: q**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 1*(-4)\/2. Suppose -5*n = -f*n + 12. Let l(h) = h + 6. Calculate l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110100 (base 2) in base 7?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(-14\/11)\/(k**(-4)\/(k\/(k\/k**(4\/3)))) assuming k is positive.\nAnswer: k**(190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 24*j = 21. Let f(m) = 34*m + 1397. Let k be f(-41). Calculate the greatest common factor of j and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Let m = 0 - 1. What is the units digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y - 16*y - 19*y - 22*y to o*y + l and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 130258, 130284, 130316, 130354?\n\"Answer: 3*u**2 + 17*u + 130238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + (2 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 889*h*o**2 - h*o - 9*h + 3305*o**2 wrt h?\nAnswer: 889*o**2 - o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(336)\/sqrt(7) - (2*sqrt(75) + -5))**2.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -410345 + 410583. Let a = 58 - 24. What is the highest common divisor of a and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3111, -3085, -3041, -2979, -2899, -2801?\nAnswer: -2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.6 - 212.6. Let h = n - -186.7. Which is the nearest to 1? (a) h (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-304 + 122 - 219 - 93)*(m + 3*m - 6*m) as x*m + r and give x.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 57. Let m = 97 - -4. Calculate the remainder when m is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/499416 and -11\/6242700.\nAnswer: 12485400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 1. Let x be (-18)\/(-36)*2*1. Let s be 2\/(x - (0 - -3)). Let m(g) = 2*g**3 + 4. Let b = 3 - -1. Calculate b*q(c) + s*m(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let x(h) = -6*h**u - 2*h**2 + 9*h**2 - 3*h**2. Let t(j) = 3*j + j + j. Give t(x(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**21*j*j**(-14)*j*((j\/j**(2\/47))\/j)\/(j*j**(-3\/2)*j*j*j*j))**(6\/11) assuming j is positive.\nAnswer: j**(1539\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 1048, 3472, 8186, 15952?\nAnswer: 27532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83.002 and -1986?\nAnswer: 164841.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 12) in base 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -31, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:58 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -40502212533?\nAnswer: -40502212541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3277 - 3024. Which is the third smallest value? (a) -2\/5 (b) s (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 - 3344*c**2 + 2390066*c\/9.\nAnswer: -2*c*(c - 79)*(c + 15127)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -13. Let v be 2583\/140*(-398)\/7. Let l = v - -1049. Is l less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*j, -3*b - j = -4*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 h, and 1 e when four letters picked without replacement from jehnvjvvnnvp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/40 + 101\/5. Suppose 4*w - 4*n + 44 = -0*n, -3*w = 2*n + 28. What is the smallest common multiple of 10 and w + 10 + 0 + z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + -109. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -56*l + 397430 + 290554. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7393283 divided by 238493\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhnjyyjjnjhhhjy. Give prob of picking 3 y.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -2.9?\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 55 - 6*f**3)*(-2*f**2 - 7*f - 1 + 1).\nAnswer: 12*f**5 + 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/28*(-16)\/42)\/(2\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-13 + (-12 + 15 - -9))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-225 + 101 + 80)*(-3*a**4 + a**2 + 0*a**2 - 3*a**2).\nAnswer: 132*a**4 + 88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 4*f**2 + 30*f + 1. Let s(j) = -j**3 - 3*j**2 - 28*j - 1. What is 3*a(y) + 4*s(y)?\nAnswer: 2*y**3 - 22*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0269, 3, -4\/5, -2, -0.6, -42, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 247611?\nAnswer: 247613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*i - 342. Let a be i\/22 + 10\/55. What are the prime factors of (a\/(-10))\/(1\/38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/(-65))\/(2\/5)*148\/259?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(10)\/(sqrt(20)\/sqrt(4)))**2*6 + -5.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c**2 - 253*c + 77. Let j be r(25). Let l(h) be the first derivative of 2\/3*h**6 + 0*h - 3*h**4 + 0*h**5 - 8\/3*h**3 - 16 + 0*h**j. Factor l(o).\nAnswer: 4*o**2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:25 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*v + 2548 = 6576 + 15808 - 964 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5 - 45*w**4 - 1108*w**3 - 2724*w**2 - 1440*w = 0.\nAnswer: -10, -2, -3\/4, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1808 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.3 + 696.3. Let f = 616.2 - o. Round f to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104 + (-30 - 138) + (-2 - 46)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 105103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -480746*r**2*x**4 + 710*r**2*x**2 + 2*r**2*x + 2*r**2 + 438*r*x + r + 45*x - 94 wrt x.\nAnswer: -5768952*r**2*x**2 + 1420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbttbbbbbttobbtotb. What is prob of sequence btb?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18216 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:08 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-2)\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 2931253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -560576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 95 = 235. Let f = r - -108. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262\/3 + 1853\/24. Calculate the common denominator of -9\/524 and y.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**5\/5 - 123*r**4\/4 + 270*r**3 - 834*r**2 + 1128*r + 2303. Let t(k) = 0. What is k?\nAnswer: -47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - z = 4007, -5*h - 4022 = -7*h - 2*z. Does 95 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5481542*t**3 - 10963084*t**3 + 5481530*t**3.\nAnswer: -12*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -12, 0.2, 2\/3, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 0 - -45488) + (5 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmxqfg. What is prob of sequence gf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((24\/(-21))\/4). Let v = -20 + n. Let d(x) be the second derivative of x**5\/20 + 7*x**4\/12 + 7*x**3\/6 - 195*x. Determine d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s + 12*s + 11*s + 35 - 72 + 37.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -97152d2 - -2?\nAnswer: -97152d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 6. Suppose 3*x = -0*x. Give f(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-85)\/4*6\/5*(-138)\/(-414)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11755488 and -0.01.\nAnswer: -11755488.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6578466 divided by 411\nAnswer: 16006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -97.42. Let x = k - 3.57821. Round x to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18941, -37913, -56903, -75917, -94961, -114041?\n\"Answer: -x**3 - 3*x**2 - 18956*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1280 and 43\/8960.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113497453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17*l + 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a + 65. Let o = 2096 - 2090. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16926 and 2444.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -101 + 7?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 71*f**2 - 3545*f\/4 - 2981\/2.\nAnswer: -(f + 2)*(f + 11)*(f + 271)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -167*o - 76. Let j(s) = 204*s + 76. Give 4*j(p) + 5*y(p).\nAnswer: -19*p - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -214*d**2 - 7*d + 2. Let q(n) = 428*n**2 + 14*n - 5. What is 9*l(c) + 4*q(c)?\nAnswer: -214*c**2 - 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 10*p - h + 3, -4*p + 3 = -h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))**8 assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9*b + 6 = 27, 4*b = 5*i - 79. Solve 0 = 14*z + i - 71 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -13. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1456339 times -2\nAnswer: 2912678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = -2*v, 0 = g - 2*v - 14 + 10. Let i(o) = 9*o**2 - 6. Let d(b) = -1. Determine g*d(l) + i(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 78690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 15*y - 18*y + 9, 15 = 5*y - 3*g. What is the nearest to -2\/5 in 4, -2\/85, y?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**3 - 2. Suppose 2*j = i + 237, 2*j - 8*i + 11*i = 225. Let d(q) = -j*q**3 - 477*q + 477*q - 27. Calculate -2*d(h) + 27*f(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/20160 - a**7\/1008 + a**6\/144 - a**5\/12 - 5*a**2. Let f(d) be the third derivative of k(d). Determine f(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 + 7*y**2 - 2*y**2)*(0*y**2 - y**2 - 6*y**2) - 2*y + 135*y**4 + 0*y - 132*y**4 + y**2 as b + g*y**2 + v*y**4 + d*y + a*y**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -5)\/((-1)\/(-2)). Let t(x) be the third derivative of -x**4\/12 + 7*x**3\/6 + x**2. List the prime factors of t(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24021, -48041, -72059, -96075?\n\"Answer: n**2 - 24023*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 36003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234130, -468264, -702398, -936532?\nAnswer: -1170666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 659 + 387. Which is greater: 133 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, v: 2}. Give prob of sequence nvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuaxufa. What is prob of sequence uf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1880*p - 350824. Give q(187).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*d - 18 = 0. Suppose 0 = -d*s - 0*s - 5*l + 25, 4*s - l - 18 = 0. Solve -5 - s = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186016 by -16.\nAnswer: 11626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918105786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**2\/3 + 16*i\/3 - 16.\nAnswer: (i + 4)*(7*i - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1267 equal to -31699\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222200 - -2101120?\nAnswer: 20101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2196 - 2494 = -335*l - 0*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 14. Let m(d) = -d - 3. Let i(v) = -14*m(v) + 3*w(v). Let s(b) = 6*b. Calculate s(i(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c**2 - 21*c - 4. Let x(z) = 9*z**2 - 11*z - 2. Let g(s) = -2*n(s) + 5*x(s). Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789358 divided by -74.\nAnswer: -10667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0 = -2*r - 4, -5*r + 5*a = 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*p - 13 + 5 + (5 - 1 - 3)*(2*p - 4*p + 3*p).\nAnswer: 6*p - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -16. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t. Let v(y) = -101*y - 265*y + 97 + 367*y. What is v(g(n))?\nAnswer: 8*n + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267) + -3*sqrt(3267) - sqrt(3267))\/(sqrt(9) + sqrt(1089) + sqrt(1089)*-6 + sqrt(1089)).\nAnswer: 33*sqrt(3)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57634*t**2 - 403*t**3 + 57634*t**2 + (t**2 - 2*t**2 + 2*t**2)*(t + 4*t - t) - 5*t**2 + 5*t**2 + 2*t**3.\nAnswer: -397*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 0*b - 4*b)*(3*b - 3*b + 2*b)*((-1 + 1 - 2*b)*(-3 + 2 + 0) - 4*b + 2*b + b + 2*b + 0*b - b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.53 and -143.16?\nAnswer: 648.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47)\/(-12) - (-1)\/1. Let p = 14\/3 - n. Let b = 1370\/3 + -438. Find the common denominator of b and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icizgeczggcegoi. Give prob of sequence ioi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) + -4.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-21 + -14 - -20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*s + 155, -2*t + 69 = 2*s + s. Suppose 15 = p + f - t, 3*f - 15 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14870 times 57?\nAnswer: 847590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2736)*1)**2 + -4 - ((sqrt(76) + (1 + sqrt(76) - sqrt(76))**2)*5 + 1).\nAnswer: -10*sqrt(19) + 2727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - 0.23. Let f = -2.91 + k. What is the third smallest value in f, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 3\/5 (c) 2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + a + a + 0*a + (-4 + 4 - 2*a)*(3 + 1 - 2).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*a + 45, -4*i + 0*a = 5*a - 169. Suppose -2*j + i + 27 = 0. Let t = 50 - j. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**1*g)))**(6\/7) assuming g is positive.\nAnswer: g**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-56)*4)\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5 + 5)\/(-7))\/(4\/(-2)). Solve q = i - 2*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79734 rounded to 2 decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - 2*o**5 + 2*o**3 - 2*o**3 - 2*o**5 - 5*o**2 + 5*o**2 + 5*o**5 + o**5 - 4*o**5 + o**5 + (o - 2*o + 0*o)*(o**4 + 2*o**4 - o**4).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -36, -73, -124, -195, -292, -421, -588?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1113*b*j**3 - 14*b*j**2 + 2183*b*j - 2*b + 456746358 with respect to j.\nAnswer: 3339*b*j**2 - 28*b*j + 2183*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 5 + 5)*(-2*c + 0*c + 4*c) - 45*c**2 + 17*c**2 - 60*c**2 to p + k*c + s*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*d - 20*d = 2568 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 + 0)*6)\/(3\/(-1)). Solve -3*j - o + 21 = -4*o, -4*j + u*o = -24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-1776)\/15) + 8\/(-20)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/98*(7 - (-678146)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 236 = -32*c, -4*b + 7490 = 2*c + 7494 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37952*p - 2*p**3 + 18974*p + 18978*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 4*y**2 - y**3)*(5*y + 2*y - 4*y) + 2*y**4 + 3 - 3 - y**4 - y**4 + y**4.\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/15)*h)\/(h**(28\/5)\/h))\/(h*h\/h**(-2\/49)*h*(h\/h**16)\/h) assuming h is positive.\nAnswer: h**(6928\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1534*a + 1475*a + 68*a**3 - 3005*a + 2*a**4 + a**2 to the form u*a**4 + b*a**2 + r*a + y*a**3 + j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6982 times 19\nAnswer: -132658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11865085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1002.097281 - -8.2515.\nAnswer: -993.845781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*j**4 + 3*j + 1 + 137*j**4 - 4*j**2 + 2*j**2 in the form y*j**2 + w*j**3 + h*j**4 + t*j + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 9.81.\nAnswer: -49.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -79. Suppose s + 0 = 5*y - 5*o, 4*o + 36 = 5*y. What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 28235?\nAnswer: -225880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 19\/8, -4, 1\/9, -5, -0.02 in descending order.\nAnswer: 19\/8, 1\/9, 0.04, -0.02, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*j**2 + 72*j - 72*j)*(-2*j**2 + 4*j**2 - j**2) to the form m + c*j**3 + r*j**2 + n*j + g*j**4 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 u, and 1 g when four letters picked without replacement from gjjgggguggjjgucgg.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {i: 1, d: 3, o: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 188 = 195. Which is the second smallest value? (a) -0.3 (b) 47.7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.042330327 and 13.\nAnswer: 12.957669673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 a when three letters picked without replacement from ubuuuabauuaubuuubau.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 65 + 42*b - 79*b + 44*b. What is l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275980 by 6.\nAnswer: 137990\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856 <= 208581\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 - 281*j + 3436. Determine h(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 5735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/3 + m**3\/6 + 38*m**2. Calculate v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5076 and 180057.\nAnswer: 6482052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -919.22 + 802. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 224. Let c(r) = -66*r. Determine v(c(k)).\nAnswer: -66*k - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 146\/187?\nAnswer: 146\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 2*n**2 + 2*n - n + 12*n**2 in the form w + o*n**2 + q*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128520)\/405)\/(-238) + (-286)\/(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acacbxcbbcx. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2698765*j**3 + 40280911 wrt j?\nAnswer: -8096295*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000629184587 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/5)\/(6168\/7710)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/(-6))\/((-36)\/(-54)). Suppose -1 - 2 = -l - 2*r, -15 = -5*r. Which is greater: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261, -523, -785, -1047?\n\"Answer: -262*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 + 2*x + 20. Let n(o) = -11*o**2 + 4*o + 41. Let h(g) = -9*m(g) + 4*n(g). Let s be h(-5). Solve d + 0 = -5*j + s, 9 = 3*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:29 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 + 5*z. Let o be s(4). Suppose 9*f = o*f + 170. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(7) + (sqrt(175))**2 + sqrt(7))*3 - (-3 + (1 + sqrt(7) + 3 + sqrt(7) + sqrt(7))**2))*1.\nAnswer: -18*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5475 divide 296579720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73488, -73446, -73410, -73380, -73356, -73338, -73326?\nAnswer: -73320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 + 43*c - 201.\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.017 bigger than 3285\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 29*r**2 - 74*r - 109. Determine k(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(119) - (-1*sqrt(119) - sqrt(119))))\/sqrt(7) + 2 + (sqrt(1088) + (2 + sqrt(1088) + sqrt(1088) - sqrt(1088)) + sqrt(1088))**2.\nAnswer: 108*sqrt(17) + 9798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/104571 - -198628\/549729747. Calculate the common denominator of y and -17\/7.\nAnswer: 5257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 + 209*t - 3430. What is b(20)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 + 0*n**3 + 7*n**3 - 52*n**3.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446129 is divided by 49866.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 10*g - 7. Let d be w(-8). Suppose d*b - 13*b = -12800000. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152*p**2 + 5428*p - 19500.\nAnswer: 4*(p + 39)*(38*p - 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*x, -q + 5*q - 87 = x. Solve 5*y + 4 + 1 = -2*c, 5*c + 3*y = -q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14892236?\nAnswer: 2, 3723059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2308 divided by 12034\nAnswer: 1154\/6017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20375 - 1?\nAnswer: 20374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 16*x**3 + x**3)*(2*x**2 - 3*x**2 - x**2) - x**4 - x**5 + x**4.\nAnswer: -35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 3. Let s be j(-2). Let w be (5*3)\/(s - -4). What is the greatest common divisor of 165 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-8 - -4) + 1 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 284, 24, 5, 115 in ascending order.\nAnswer: -5, 0, 5, 24, 115, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-35))\/(4\/6). Let g = 0.14 + -0.04. Let n = -28 + 27. Which is the closest to g? (a) q (b) n (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -770 - -770. Solve 4*o - 6 = 3*n, o + r = 4*n + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 128. Which is the smallest value? (a) y (b) 0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:17 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (266358\/(-1545))\/(4\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 6*a - 5. Let y(v) = v**2 + 6*v + 5. Let s(m) = 7*h(m) + 6*y(m). Let n be s(-4). Sort 0.1, 2\/7, n.\nAnswer: 0.1, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 3*b, -3*b = -2*q - b - 2. Let p be (21 - q) + (-2)\/(-6 - -4). Solve 5*s + p = -j, j - 5*j - 5*s = 28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 - 2293720*k = 0.\nAnswer: 0, 1146860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5040 * -20834.\nAnswer: 105003360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2256?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 118*g**2. Let c(w) = -7*w + 2*w + 3*w. Give h(c(t)).\nAnswer: 472*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 <= 14426\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.661334248 rounded to 2 decimal places?\nAnswer: -3.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, -28, -140, -298, -502, -752, -1048?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*m + 1078 - 5413 + 463 = 1672 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-21))\/(42\/(-196)). Suppose -d*q - 3*q = -33035. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21\/5*r**2 + 0 + 6\/5*r = 0. What is r?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 312.34 + -312. Let n = m - 0.14. What is the second biggest value in -2, 11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103586 - 1833. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 - 176912\/21. Let s = -8444 - u. Let g = 19 + s. Are g and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z + 5*f - 31, -14 = 3*z - 4*f. Let g(w) = -5*w**2 + 8*w + 21. Let c(h) = -h**2 + 2*h + 5. Let l(x) = z*g(x) - 9*c(x). What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 + -251. Suppose m = 47*q - 51*q + 24. Suppose 22 = 4*x + 3*v - 1, 4*x = 2*v - 2. Solve x*j - y + 1 = 0, -y = -3*y - q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -27. Suppose f = 5*p - 34. Solve 1 = -2*c + p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1*-5)\/(sqrt(56)\/(sqrt(8)*-1)) + 2)**2.\nAnswer: 20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 13*h**2 - 28*h + 4. Calculate a(8).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 - q - 4. What is d(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0431 + -0.4569. Let w = -42 - -42.3. Which is the second biggest value? (a) -0.3 (b) z (c) w (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178838*y - 3536 = -178734*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-2)\/(-18)))\/(-335 - -336).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 - -1000111?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 32 = 0. Let y = c - 1. Solve -2 + y = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from ueeeu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 27. Give y(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 620*u**2 - 94213*u + 587814.\nAnswer: -(u - 6)*(u + 313)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 14728 = 5*m + 2505, -3*s = -3*m + 12231. Let f = s - -81653\/20. What is the common denominator of -113\/6 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -138*l + 6443. Determine q(49).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-30) + 19664\/10. Let q = -1317 + k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1213544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 578461 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 25*h - 810 = 0. Calculate the remainder when h is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 8 = -4*x, -5*w - 10 = 722*x - 728*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 6*s**2 + s - 7. Let n be g(6). Let k = n - -12. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -34. Let p be 3*(-4)\/(4\/r). Is (-10)\/(-15)*p\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.97 and -0.2.\nAnswer: -0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9567568, 9567506, 9567444?\n\"Answer: -62*l + 9567630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o*t*v + 3115*o*t + o*v**3 - 3*t*v**3 - 3432*t*v**2 - t*v - 5*v**3 wrt o.\nAnswer: 4*t*v + 3115*t + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148702 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -0.13, -5, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:05 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*1)\/sqrt(12).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16444085 divided by -89?\nAnswer: -184765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4098 + 4298. Calculate the highest common divisor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -118, -312, -596, -970, -1434?\n\"Answer: -45*g**2 + 31*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 4*n)*(-1 - 9*n - 19*n - 10*n).\nAnswer: 38*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -5*w + 17. Is -94 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and -11813607379.\nAnswer: -11813607336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f - 1. Let b(g) = -5*g**2 + 4*g - 2. Let u be 14 + -11 + (-4 - 0). Let n(j) = u*b(j) - 4*t(j). Differentiate n(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4084532.01912 - -4084921. Let r = v + -389. Let s = -0.019 - r. What is s rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26381 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -3*h - 23, -3*o + 12 - 3 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 1\/4 (c) -2\/29 (d) -89 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7814 is divided by 1675.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3618 = 30*n + 14*n - 92*n + 21*n for n.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26920173 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 9\/(-14). Let s be ((-50)\/175)\/(1\/7) + 5. Factor 0 + 8\/7*n**2 - r*n - 2\/7*n**s.\nAnswer: -2*n*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - o - 7, -3*o + 8*o = i - 11. What are the prime factors of (((-675)\/(-10))\/27)\/(i\/414)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 21*f - 5. Let j be v(7). Let g be (-3)\/j + 58\/(-130). Sort 0, g, -4 in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/60 - g**4\/3 - 4*g**3\/3 + 2*g**2. What is the remainder when -7 + 6 + (-64)\/(-2) is divided by m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 6*m**2 - 7*m + 2. Suppose 3*f + 6*f = 63. Let w be y(f). Suppose s + w*s = -4*b + 6128, 6132 = 4*b + 2*s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 4623\nAnswer: -2311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9.8, 3\/7, 10?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3249 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {u: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (0 - 6) + 1. Let u = 7 - n. What is the greatest common factor of u and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 16350105?\nAnswer: -16350112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31015895037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 4882?\nAnswer: 4879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 58, 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28262.4 + -176.895076.\nAnswer: -28439.295076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42c (base 14) to base 11\nAnswer: 68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3 - 2*f**3 + f**2 + 4 - 45*f**5 + 8*f**2 - 4*f**3 wrt f?\nAnswer: -2700*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaqnnaan. Give prob of picking 1 q and 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lly when three letters picked without replacement from lllllylllllllll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/11, 49\/17, -1, -0.4, -0.3, -3, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 18*a + 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**3 - 8*q**2 + 8*q + 826. Let d(w) = -7*w**3 + 6*w**2 - 6*w - 827. Give -4*d(g) - 3*v(g).\nAnswer: -2*g**3 + 830","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -96*r. Let p(s) = -5*s + 4. Determine p(q(u)).\nAnswer: 480*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2745 by 305.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0*f + 9*f - 11*f. Let i(n) = -4*n. Determine w(i(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21d977 + 5?\nAnswer: -21d972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 1 + (sqrt(300) + -1)*-4 + (-3 + sqrt(300)*2)*6)**2.\nAnswer: -10240*sqrt(3) + 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:20 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = -2*y + 2, 2*y - 11 = -5*g. What is the greatest common factor of g and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -53.1?\nAnswer: 0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/5, 1\/14, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-78)\/(-72)) - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8618 is divided by 2854?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.001 from -2404.\nAnswer: -2403.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2125974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2166364?\nAnswer: -2166366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3 + 6. Let n = 3.3 - 3. Put n, -0.2, l in descending order.\nAnswer: l, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322\/5 - 64. Let z(h) = -14*h + 212. Let x be z(15). Determine b so that y + 2\/5*b**x + 4\/5*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*t + 149*t - 7460. Suppose -4*a = -t + 114. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148 + 53*f - 148 to j + m*f and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1183)\/(-52) - 23)*5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 6, f: 4, k: 1, w: 3, g: 1}. Give prob of picking 1 k and 3 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o**(-4)\/o)\/(o**(-7)\/(o*o**(-4)*o))*(o**0)**(-18\/7)*(o*o\/o**(2\/5))**38 assuming o is positive.\nAnswer: o**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/15 - 3*z**2 - 1. Let k(m) = 4*m**2. Give k(p(q)).\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*l + 1520*q - 1525*q, 0 = 4*l - 2*q + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 37. Let k be (476\/u)\/((-1)\/2). Put k, -4, 4 in decreasing order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 29*b**2 + 325*b + 114. Let z be f(22). Solve z*o - 24 + 15 = j, -5*j - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 31 = -o + 180, 2*h + 568 = 4*o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.5. What is the nearest to i in -0.5, -1.6, 7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + 13.8. Let j = 43.75 - 55. Let t = j + u. What is t rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = -4*d, -10 = x - 6*d + d. Let b = 1.8 - 8. Let f = b - -6.11. Sort -1\/4, f, x.\nAnswer: -1\/4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*l = -102*l - 8. Solve 0 = -4*z + 4*t + l, -3 = -z - 0*z + 3*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - -231. Let m be r\/5*(390\/12)\/(-13). Let y(a) = 2 + 0 + 1 - a. Let w(t) = t - 2. Give m*w(c) + 2*y(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7081835 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/120 - x**5\/60 + x**4\/24 + 3*x**3\/2 - x**2. Let n be p(0). Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182323 + -97360445\/534. Calculate the common denominator of m and -19\/1246.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13586.\nAnswer: 2, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 9559 = -56123. Let w = b + -2345. What are the prime factors of w?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13312*c - 116. What are the prime factors of g(2)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.1. Suppose -o + 3 = 1. Suppose n - 1 = o*n. Is b < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -12, 1, 1\/4, 22.34?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n + 0 - 1\/10*n**5 + 1\/2*n**3 + 0*n**2 + 0*n**4. What is the second derivative of t(m) wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 326\/5 + -65. Which is the nearest to -1? (a) p (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:11 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307615144?\nAnswer: 2, 3, 29, 199, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572281.\nAnswer: 1572281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, 9 in descending order.\nAnswer: 9, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 6255.\nAnswer: 625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33837628, 67675267, 101512906, 135350545?\n\"Answer: 33837639*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 19*z**2 + 71*z + 1174. Determine d(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*t)\/((t*t\/(t**(2\/13)*t))\/t)*(t**(-1\/4))**(-11\/5) assuming t is positive.\nAnswer: t**(3043\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1202?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -245\/4. Let w be (-9)\/7 - (-5)\/(105\/6). Let f be (9 + -9)\/(0 + w). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*k**3 - 19*k**3 - 3*k + 5*k.\nAnswer: 172*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.4 (b) 0.5 (c) -23 (d) -1.77 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idq. What is prob of picking 1 q and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385415.\nAnswer: 5, 19, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = 10. Let o(w) = w**2 + 4*w + 5. Let h be o(j). Solve -4*m - m - h = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7556 by -1889.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4529011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.81 - 2.11. Let y = 7.7 - q. Which is the second smallest value? (a) y (b) -1 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*z + 10 = -26, 0 = -o + 4*z + 22. Let s(f) = 4*f + 2. Let q be s(3). Let b = -7 + q. Calculate the greatest common divisor of b and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - 81399?\nAnswer: -81435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 459.08 - 459. What is the closest to 1 in 0.4, -3, b, 0.28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 1, j: 2, f: 6}. Give prob of picking 1 f and 1 s.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1365257 (base 8) to base 6\nAnswer: 12151103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 654.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218211?\nAnswer: 3, 7, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/3) - 0. Suppose 3*a - 2*s - 10 = 0, -2*s + z = a + 5. Let w = 4 - a. Do 2 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 5*s - 3. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 3 - 7*y + 1\/2*y**2. Calculate i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - 45 = 35*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851.1261 hours in weeks?\nAnswer: 40.7805125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -2.8. Let v = -373 + 373. Which is the biggest value? (a) 1 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 408?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 - 14*z + 11*z - z. Let s(i) = i - 1. Calculate 7*s(f) + 2*y(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 471*i + 2. What is a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 1 - 1)*(39*d**2 + 6*d - 117 - 95 + 152 + 83) to the form c + w*d**3 + k*d + h*d**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 147*z**3 + 4*z**2 + 11?\nAnswer: -24*z + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18369733, 18369727, 18369717, 18369703, 18369685?\n\"Answer: -2*w**2 + 18369735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (68978\/10612)\/((-10)\/4)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (208*g - 12900 + 12900)*(5*g**2 - 5*g**2 + g**2) to the form m + l*g**3 + q*g**2 + a*g and give l.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from xrrxwqqxqqwx?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*j - 387*j - 4609 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4331 - 37.518062.\nAnswer: 4293.481938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026156 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:57 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, t: 9, k: 2}. Give prob of sequence utkt.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -138, -3, 3, 4 in descending order.\nAnswer: 5, 4, 3, -3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1016*b - 393*b - 95*b - 2148*b**2 wrt b?\nAnswer: -4296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3958363 is divided by 20403?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*c - 5*l, 22*c + 137*l + 125 = 140*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3984 is divided by 125?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2*-6*-4 - (4 + (sqrt(48)\/sqrt(2))\/sqrt(8))**2.\nAnswer: -8*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.09 - -3.69. Sort 48, x, 4 in increasing order.\nAnswer: x, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*-2*10\/(-30).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/((-442)\/(-85))*(-13)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 9 - 15. Calculate the greatest common divisor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -5*n + 309. Suppose 3*r - 5*h + n = -0*h, 4*r + 3*h + 105 = 0. Let x be 2\/10 + (-234)\/r. Solve -l - 12 = 3*m + 2, 4*m = 4*l - x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, g: 12}. Give prob of picking 2 g.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1008 - -1012. What is the second smallest value in 27, -4, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27\/44 - 3\/22. Let i = 0.7 - -0.3. Let s = 1.1 - i. Is s at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4440532 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -15. Let x be 6\/b*4*1. Let h be 2*x\/(-6)*-2. Solve -h - 1 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooojyyyyjyoo. Give prob of sequence yojj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**2 + k - 1. Let x(s) be the first derivative of -8*s**3 + 3*s**2\/2 - 2*s - 71. Let z(f) = 5*b(f) - 2*x(f). Calculate z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - 1. Let s(j) = 5*j**3 - 10*j**2 - 9*j + 3. Let f(k) = 4*h(k) - s(k). What are the prime factors of f(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 + 2 = 0. Let v(u) be the second derivative of u**4\/24 - u**3\/6 - u**2\/2 - 7*u. Let b(o) be the first derivative of v(o). Give b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -2. Suppose -4*d = -3*f - l, f + 5*d - d = 20. Suppose 8*k - 47 - 473 = f. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2347 and -90?\nAnswer: -211230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/13616180 and -87\/27232360.\nAnswer: 27232360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*q = -16. Solve c - 12 = 2*k - q*c, -8 = -3*k - 2*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 + 10 = 0, 3*d - 14 = 4*c. Let f be ((-4)\/((-16)\/(-4)))\/(-1). Suppose 0 = -4*n - 4*p + 20, 3*n + f = 5*p - 0. Sort 1, d, n in descending order.\nAnswer: n, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.5. Let z = -6.6 + 2.6. Let w = 8 - 13. Which is the third biggest value? (a) w (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*1*-1. Let v = 19 + -19.6. Let o = v + 1.6. Which is the second smallest value? (a) 0 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(4\/(-24)). Is 13 a factor of 20 + -1 + i - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8799*a**2 + 47177*a.\nAnswer: -17598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*r**3*v**2 + 2*f*r**3 - 26*f*v**4 - 54*f*v**3 + f*v**2 + 11*f*v - 108*r**3*v**4 + 8*r**3*v**2 + 18*r**2 wrt v?\nAnswer: -624*f*v - 324*f - 2592*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 2*m + 23 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 67 + 13 = 0. Let r = l - 19. Let f be (-1 - -4 - r)*-1. Solve -8 = 4*s, s - f*s + 12 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(-1) - (66\/22 + -1). Suppose 2*b - 256 = -5*f - 0*b, -5*f - 5*b = -265. What is the greatest common factor of f and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -11?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 4*o - 6*o - 3*o**2)*(3738 - 3738 + 81*o)*(-119*o**2 - 203*o**2 + 204*o**2).\nAnswer: 28674*o**5 + 9558*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 43. Solve -2*z = -3*s, -z = c*s + 4 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20*h - 5 = -19*h, -3*h = -4*x + 15. Solve -2*i = q - 10, q + x*q - 25 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031765 to the power of 1\/2, to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-164282)\/(-10) - (2 - (-14)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.06566cm in millimeters?\nAnswer: 80.6566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 2, b: 2, d: 2, u: 4}. What is prob of picking 1 d, 2 p, and 1 b?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 + a - 4. Let w be c(0). List the prime factors of -83*w\/(-8)*-4.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/48 + (-6)\/16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195943 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 2\/7 (c) 1879\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 - 27. Let g be k(6). Suppose -3312 = g*f - 18*f. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -54. Calculate the remainder when 203 is divided by 67 - 25\/f*12\/10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*v**2 + 47*v**4 - 45*v**4 - 2*v**2 as c*v + n + u*v**2 + g*v**4 + d*v**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*k = 137*k - 296. What is the remainder when k is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580491307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i + 9. Let v be u(6). Let k = v - -22. Let p = -5 + k. Solve -3*r = 2*d - p*r - 8, -5*d + 17 = 4*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 - a**5\/60 - a**4\/24 - 2*a**3\/3 - 14*a**2. Calculate s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*d**2 + 204*d**2 - 375*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4092, 8189, 12284, 16377, 20468, 24557?\nAnswer: 28644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 9*l - 14*l - 5*r, -3*r - 20 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2 - 5\/4*t - 1\/4*t**3 - t**2 = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 51 + 49 = -3*u - 29, 0 = -3*v - 4*u - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 32*o**2 - 30*o + 28. What is the least common multiple of 171 and j(1)?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.99 + 14769?\nAnswer: 14757.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -109*m**2 - 1 + 191*m**2 - m + 1. List the prime factors of x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 - 45 = 5*y. Let f = 1582 + -1500. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p**3 - 44*p**3 + 34*p**3.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z. Let k(h) = -h. Let t(n) = 6*k(n) - q(n). Suppose -6*u + 3*x - 5 = -5*u, -3 = -u + x. Let j = u + -15. Give t(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:04 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4144\/5 + -640. Is z at most 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 6.6. Let f = p - 7.3. What is the second biggest value in f, -0.4, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 314541 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 + 4*q + 20. Let f be n(0). Suppose f = -4*p + 3*a + 57, 2*a - 10 = 0. Let h(o) = o**3 - 12*o**2 - 14*o - 10. What is h(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j**(2\/57)*j)))\/j)\/j)\/j*j**(-21)\/j)\/(j**(-2)*j*(j\/((j\/j**(-2\/13))\/j))\/j*j) assuming j is positive.\nAnswer: j**(-17644\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1017 (base 12) to base 8\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x + 9*x - 110*x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 27564. Let z(m) = -19*m. Determine z(c(k)).\nAnswer: -19*k + 523716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 15*x**2 + 13*x + 16. Suppose -3*g = -j - 37, -j - 4*j + 25 = 0. Calculate the lowest common multiple of z(g) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 90 + -1 + (-2 - (2 + -3)). Let v be 9 + (-4)\/(2\/(-1)). Calculate the highest common divisor of v and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 2*i + 12. Let d(o) = -o**3 + 3*o + 9. What is 3*d(h) - 4*q(h)?\nAnswer: 5*h**3 + h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 2*w**2 - w + 1. Let j be k(-2). Let z be (-224)\/(-10) + 4\/(-10). Suppose -y = -j*y + z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 + 69 = 7*w + 62 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 351 = -160 - 243 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 23. Suppose -14 = -k*f + f. Let g(y) = -178*y**2 + 3*y + 1. Let j be g(f). Round j to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/1530 and -91\/204.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((12\/3)\/(-4))\/((-3)\/(-7)). Let a(c) = -18*c**2 - 16*c - 1. Let r be a(-1). Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 32*i**2 + 2\/105*i**7 + 0*i**6 + 0*i + 0*i**4 - 1\/12*i**5 + 0*i**3 + 0. Find the third derivative of u(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94891440 - -94891435.1000009. Let q = 4.9 + x. What is q rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - 0.6. Let w = g + 3. Let k = w - -0.4. Which is the nearest to k? (a) -2 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h + 8. Let k(d) be the first derivative of 3 + 0*d**2 - 3*d + 2\/3*d**h. Find the first derivative of k(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 + 2*y**2 + 0 - 4*y + 3 - 4*y**2. Let g be m(3). Suppose 11 = -2*b + g. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1196, -1191, -1188, -1193, -1212, -1251, -1316, -1413?\n\"Answer: -a**3 + 5*a**2 - 3*a - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 302.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3283847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243782352?\nAnswer: 2, 3, 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23660 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1113113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52500)\/675 - -5 - -73.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1100 and 24800.\nAnswer: 272800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (4 - 6) - 21 - 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32 + -29 - (3 - 2). Let u(h) = -h - 15. Let f(k) = -3*k - 44. What is t*f(s) - 7*u(s)?\nAnswer: s + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*i - 3433 - 1467 = 588*i for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.26 - 0.46. Let s = a + 0.2. What is the third smallest value in 2, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-519)\/5017 + (-414)\/203.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2 - (1 - 1). Let n = 0.10158 - 0.00158. Let v = -0.46 - -0.06. Which is the nearest to n? (a) 4 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrkkrkkpkkro. What is prob of sequence opk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416 - 141. Let b = -36336628 - -36336903.00151. Let p = b - v. Round p to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -15.62, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 5917824*a\/5 + 5917823\/5.\nAnswer: (a + 1)*(a + 5917823)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912772 is divided by 956380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -893 - -893.0463. Let w = 0.1463 - v. Which is the second biggest value? (a) 3 (b) 1\/12 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 11*c**2 + 14*c - 17. Give j(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/10 - 5*i**4\/2 + i**3\/3 - 15*i**2 - 13*i. Let t be a(15). Solve t = 5*l + 15, -b + 3*l + l = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdgggggggggg. Give prob of picking 2 g and 1 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + -dc791?\nAnswer: -dc7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 3. Let f be a(-3). Suppose f = -22*l + 18*l + 16. Suppose 4*h = -t + 36, -4*h + l*t - 3*t = -36. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhpq when four letters picked without replacement from {n: 1, p: 6, f: 4, q: 2, h: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**4 - 120*s**3 - 350*s**2 - 240*s - 35.\nAnswer: 5*(s - 7)*(s + 1)**2*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**41*y)\/((y\/(y*y*y**(-12\/11)*y))\/y))\/(y**(3\/8)*y*y\/y**(2\/41)*y) assuming y is positive.\nAnswer: y**(146423\/3608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + k = 3*k + 2, -5*k + 9 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19791965 divided by 4?\nAnswer: -19791965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 39671175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, -7694, 1\/6, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55 + 1 - (0 - -1). Let z be 8\/2 + -3 + b. Let p(h) = 2*h**2 + 2*h + 3. Let g be p(-2). Calculate the highest common divisor of z and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 12) to base 8\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -4*b**5\/35 + 4*b**4\/7 - 16*b**3\/21 - 12. Factor q(g).\nAnswer: -4*g**2*(g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778.2091 nanometers to micrometers.\nAnswer: 0.7782091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 9, 31, 61, 99?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 24. Let y(c) = c + 25. Let k be y(14). Suppose k*o + 8 = 41*o. Solve 0 = q - 5*a + 22 + 2, -4*q + o*a - r = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 20*d - 21. Let y be l(-18). Calculate the greatest common divisor of y and 1200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*o + 326, 4*o + d = -d + 260. Suppose 0 = -29*n + 23*n + o. Solve -13*k + n*k = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = c - 4*a - 22, -38 = -3*c + 2*a. Suppose -4*w = -i - 14, -2*w - w + c = -i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*w + 2, d - 2*d = -3*w + 13. Differentiate 3 + 31*g**2 - 31*g**d + 6*g**3 wrt g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.1 - 21.1. Put -6, 1, -9, n in decreasing order.\nAnswer: 1, n, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22466 and 0.3.\nAnswer: -0.067398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0424 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 12*a**2 + a - 7. Let z be b(12). Suppose z*s - 419 = -99. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/11 and (-524)\/105 + 4\/30.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmmm when four letters picked without replacement from {w: 7, m: 5, p: 2}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -601, -589, -577, -565, -553?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:49 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(8\/36) - (-33 + 1)\/(2716\/(-970)).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*q - 63, 6*v - 2*q - 258 = 2*v. Let k = 91 - v. Let y = k + -12. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.2 - -11. Let m = q - -0.2. Which is the second smallest value? (a) -2\/11 (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**3)\/n*n*n*n\/(n\/n**(4\/7)*n))**(-6) assuming n is positive.\nAnswer: n**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 29*d - 16*d + 345. Let v(w) = -w**3 + 69*w**2 + 11*w - 755. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67340 by 910.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 + 4*c + 3. Let a be t(-2). Suppose a*k - 5*k = -16. Suppose 0 = 7*i - 2*i - 110. What is the remainder when i is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 29 = -5*s, -2 = 4*w - 2*s. Suppose w*k - 5*x - 10 = 0, -4*x + 0*x + 1 = -k. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 29. Let p = d + 3. What is the greatest common factor of 60 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4085km in nanometers?\nAnswer: 47408500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.3796 years to months.\nAnswer: 11428.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 10113 = -206*v + 9360 - 3821 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, 0.03, 0.023, -17, -1 in descending order.\nAnswer: 5, 1, 0.03, 0.023, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2599250?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-4)\/((-8)\/6)). Suppose p = 5*f - 3680 - 3355. Suppose -5*o = -f - 1228. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - 127*l**3*r + 186*l*r + l wrt l?\nAnswer: 12*l**2 - 762*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 - 1404*j**4 - 124820*j**3 - 3350996*j**2 - 2983512*j + 6460736 = 0. What is j?\nAnswer: -232, -59, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - ((sqrt(5) - ((sqrt(5) + -3 + sqrt(5))**2 + sqrt(5))) + 4)).\nAnswer: -100 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3667059133293+-5\nAnswer: -3667059133298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j + 3. Give y(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*t + 133*t = 241*t + 66. Let r(w) = -w. Let p(x) = 10*x - 1. Determine t*r(f) - p(f).\nAnswer: -13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-7))\/((-42)\/49). Factor 4\/3*r**2 + 2*r + y.\nAnswer: 2*(r + 1)*(2*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671*v + 12448 = 687*v. Calculate the remainder when 2336 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - ((-645)\/6)\/1. Let w = h + -101. Suppose -3*a - 1 = -2*l, -a - 1 + 6 = 2*l. What is the lowest common multiple of w and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*o - 2*o - 4*i, o - 6*i = -17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2)*(-1)\/(2\/(-2)). Let r be y\/9*-2 + 1. Let p = -2.1 - 2.9. Which is the second smallest value? (a) p (b) 2\/9 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 933 divide 1175839249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -5*c**4\/12 + 198*c. Let z(p) = -p. Give n(z(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31\/5 - -242\/35. Let q = 1036 + -2115\/2. Find the common denominator of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273212 + 1143?\nAnswer: -272047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (0\/2 - 1). Let w(m) = m**2 - 3*m + 2. Let k be w(3). Let u(h) = 2*h**2 - 1 - 4*h**2 - h**3 + k. Determine u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -101*s + 2. Let f(x) = 24*x + 225. Let r(v) = 6*v + 60. Let z(p) = -4*f(p) + 15*r(p). Give z(d(t)).\nAnswer: 606*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*q - 3 + 8, -2*h + q = -26. Let g = h - 6. Let m(k) = k**3 - 5*k**2 + 4*k + 3. Is 8 a factor of m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 1 q when three letters picked without replacement from {i: 1, y: 2, v: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 452856514*y + 577664133.\nAnswer: 452856514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from pwwwpwwpppwp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079750730 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 - 3 = 0, 4*c + 20 = 2*o. Solve 1 = o*f - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548527409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/4771 - 9584\/14313. Which is the smallest value? (a) 37.6 (b) q (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.5138 to one dp.\nAnswer: 195.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)\/q**(-2\/9)*(q*q\/(q*q**(-2)))**(-15) assuming q is positive.\nAnswer: q**(-457\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1, -2\/9, 1.19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/643962 and -85\/198.\nAnswer: 1931886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/(x*x**(10\/7)))\/((x**(-25)\/x*x)\/x*x**(-8)) assuming x is positive.\nAnswer: x**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 42. Let g be k(-10). Let j be (-6)\/(-3)*5\/10*g. Which is bigger: j or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19425666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/2 + 48*m. Let z(f) = -4*f. Give v(z(c)).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -573, -576, -581, -588, -597, -608?\n\"Answer: -u**2 - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 367357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:52 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*v + 20 = 2*p, -4*v = -p - 11. Let z(n) = 16*n. Let c be z(p). Solve 2*g + c = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1039\/26 + 40. Let y = 22543\/105092 + -6\/2021. Let i = f + y. Which is the second biggest value? (a) i (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s - 8, 3*g + 42 = -5*s. Let c = g + 22. What is the remainder when -2*885\/(-54) - (-4)\/18 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 8) in base 2?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-3)*(-72)\/14. Suppose 0*k - y = -4*k. Let r be (-46)\/130 + k\/39. What is the smallest value in 5, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 3*x + 19*x**3 - x**2 + 0*x + 12*x**3.\nAnswer: 31*x**3 + 5*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.308 + -1.108. Sort s, -3.9, 6.\nAnswer: -3.9, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let z(y) = -6*y - 8. Let n(f) = -3*s(f) + z(f). Is n(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 106 + 49. Let o(w) = -w**3 - 27*w**2 - w + 41. Let h be o(-27). Let y = h + k. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5154704 is divided by 2954?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -x - j = -3*x - 4, -x = -j + a. Suppose 5*b - o - 3*o - 102 = 0, x = -3*b - 3*o + 72. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593b (base 13) in base 3?\nAnswer: 122020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/20 and -31\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/2))\/l)**(-19\/2))**(1\/2)*(l\/(l\/(l\/(l*l*l**(-2\/9)*l*l)*l)))**(-4\/17)\/(l**(-5\/4)*l\/(l**(-3\/5)\/l)) assuming l is positive.\nAnswer: l**(-20237\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015170207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 - 1714 = 3*x. Let c = x + 686. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b + 5 = 67*b. Let z(p) = -p + 1. Let s(w) = 1. Calculate b*s(h) - z(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2729028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37 + q + 77 - 40. Let r = -19 + 40. Let k(g) = r*g - 9*g - 2*g. Give k(f(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118170467 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 8. Let w(d) = -2797*d - 71. Give 2*w(p) - 18*y(p).\nAnswer: -5576*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**(-2\/41))*u)*u**(-20)*(u**(-4\/9))**(-17\/2) assuming u is positive.\nAnswer: u**(-6004\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(-1\/33)*d**(-2\/11)\/(d**(-1)*d) assuming d is positive.\nAnswer: d**(-32\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -557307 <= -556910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*q - 22 = 0, -5*v + q = -2*q - 15. Let p(r) = r**2 - 3*r - 8. Let k be p(v). Calculate the greatest common divisor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417408 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*72\/(-6))\/(-2). Let x(r) = -r**2 + 20*r - 49. Let w be x(17). Solve 5*q = 2*i + 17, v + 4 = w*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 6) to base 9\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028139 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12532 + 12539. Put m, 9, 5, 1, -3 in ascending order.\nAnswer: -3, 1, 5, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - h + 3844998, 5*x - 19224996 = -19*h + 17*h. What is x rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -1, -2, -13, -40, -89?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:35 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38227\/535 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 34, 83, 152, 241?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-5)\/60)\/((-2)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 6)\/((-1)\/934*-2). Let p = -216 - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b*b**(-3))*b)))\/(b*b**8)*b**(-1\/5)*b*b**(2\/11) assuming b is positive.\nAnswer: b**(-276\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2880.4 + 3\nAnswer: 2883.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - 48*z - 51*z + 1 - 3*z**4 + 94*z - 4*z**3 + 0*z**3 in the form d*z + r*z**3 + q + y*z**4 + x*z**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20615 times 1\nAnswer: -20615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*f - 2683975 = -2675043 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b - 7 + 5 + 11 + 4. Let n be i(-4). Let s = 7 + n. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 7*a + 54. Let r be t(11). Solve 0 = -2*q - r*j + 7*j + 17, 5*j = 2*q + 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26620701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232 is divided by 305.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (15\/2)\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.66 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(189) + (sqrt(189) - (sqrt(189) - -2*sqrt(189)*2)))\/((-2*sqrt(35))\/sqrt(5)))\/(5*sqrt(27)\/sqrt(3) + (sqrt(63)\/sqrt(7)*3 - sqrt(9))))**2.\nAnswer: 223\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -800 + 0.18\nAnswer: -799.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*q + 2*q - 172 = 0, 3*g - 130 = 4*q. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 - 21*l**4 - 47*l**3 + 21*l**2 + 46*l = 0.\nAnswer: -2, -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/5)\/(((-800)\/5000)\/(8\/(-5)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 148582335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 35*l - 378. Suppose l*m = -0*m + 1953. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 5*k**2 + 105*k + 225.\nAnswer: -5*(k - 5)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.67 - 0.07. Let o = -3.5 + r. Is o equal to 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 41, 60, -4 in ascending order.\nAnswer: -4, -2, -1, 41, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/840 - m**5\/84 + m**4\/28 - 11*m**2. Find b such that u(b) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 - n**3\/6 + 4*n**2 + 1078*n. Give y(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65777 is divided by 1826.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - (106 + 20 + 20).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(112)\/sqrt(2) - sqrt(56)) + sqrt(56))*6)\/sqrt(8))**2 + (((sqrt(252) + sqrt(28))\/sqrt(2))\/((sqrt(66)\/sqrt(3))\/sqrt(11)))**2.\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 + 39 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/15 and -74\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*k = 977*k + 64 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -9 (b) -2\/3 (c) 2\/5 (d) -17\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9552326 millilitres to litres.\nAnswer: 0.0009552326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3474*a - 48697. What is f(-14)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 384749239 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12884?\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71168 and 2159504.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29723 - 29723.7. Sort -20, 6\/5, v in increasing order.\nAnswer: -20, v, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4725*x - 6819*x - 7660*x + 2 - 2 in the form y + h*x and give h.\nAnswer: -9754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d - 108. Let j be n(-7). Suppose -2*p - j*y + 0 = -38, 5*p - 4*y = 39. Calculate the remainder when 230 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**3 + 18*u**2 + 9*u + 21. Let s(m) = -4*m**3 + 17*m**2 + 10*m + 21. Let v(t) = 3*h(t) - 4*s(t). What is the least common multiple of v(15) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - u - 5 = 0, -h - 2*u + 2 = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -18 + 14 - 21\/(-14)*(-25062)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 22 = 2*u, 26 = 61*j - 66*j + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21629922 - 34694396885\/1604. Let d = -2\/401 + q. Let l = 843 + -843. What is the second biggest value in d, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -8*w + 1400. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189906 (base 11) to base 16\nAnswer: -471b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-15)\/(-12))\/(-5))\/((-2)\/(-8)))\/(53\/(-1431)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.194504?\nAnswer: -0.0194504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 334, 0.659, 4\/5, -0.05?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7775553 and -2.6249916.\nAnswer: -7775555.6249916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from rfararfrk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 396*v + 2159.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 5*w + 175. Let s be n(-15). Is s bigger than 326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -3*s - s, -3*s = -z - 15. Suppose z = 4*p - 4 - 4, l - 30 = -5*p. Suppose -v - l = -5*v. Solve -4*n + 2*n + 2*x - 2 = 0, n = v*x - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1)*(10 + (-177)\/18). Which is the fourth smallest value? (a) -2\/7 (b) p (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 81 = -6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2320 - 2084. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123311 and -5?\nAnswer: 616555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, l: 4, g: 8, b: 3}. Give prob of sequence gl.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkkk when four letters picked without replacement from kkaurkuak.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = a + 2*j + 180, -27*a - 213 = -3*j for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391207 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 3*w + 2 = -13*v, -v + 6 = 2*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 3501137578?\nAnswer: -3501137576.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*h = -17, 3*h - 2 = s - 16. What is the closest to -0.1 in -2\/17, s, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 10*l**4 - 105*l**3 + 3*l + 35*l**5 + 17*l - 268*l**2 + 308*l**2 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let i(l) = 368*l**2 - 24*l + 371*l**2 - 1475*l**2 + 371*l**2 + 368*l**2. Give i(r(o)).\nAnswer: 3*o**4 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 631 = -3*b + 393, -5*b = -4*s - 1716. Suppose -3*n + w = 6*w + 217, 4*w = -5*n - b. List the prime factors of 6\/9 + n\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 17 + 3)*(0 + 1 + 1)*(-d**4 + 3*d**4 - 4*d**4) as m + y*d**3 + h*d**2 + u*d**4 + l*d and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 9*q**2 - 11*q - 5. Let d be z(-10). Solve 0*h + d*h = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -6) + (-29 - -8) + 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -14894.\nAnswer: 5\/14894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17085 times -4?\nAnswer: 68340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*s + 9 = 0, 0 = -7*v - 3*s - 1249 + 1261 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*(-10)\/15. Let u = w - -7. Let d(g) = -g**2 + 7*g + 7. What is the tens digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -m, 5*y + 10 = -0*m - 2*m. Let u be ((-2)\/3)\/(1\/(-3)). Suppose -d - 4 = -u. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*r + 5*g - 87, -4*r = -3*g - 175. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3)\/(21\/(-7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5664 and 91\/4.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1131 + 1141.9216. Round f to 1 decimal place.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = p - 3*p - 5*g, 0 = -p - 2*g + 93. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22040 divided by -1160\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2728674 by -4394.\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from zpczpppppzpczppz.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.024421 grams?\nAnswer: 0.006024421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(245) + 0 + 2 - sqrt(245) - -4*(sqrt(245) + sqrt(245)*1 - sqrt(245)))*2*5.\nAnswer: 20 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 1\/2*p**2 - 5\/2*p.\nAnswer: -(p + 1)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2081 = -w, -2*w + 4*m + 4174 = 8*m. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2671 - 2657 = -5*f, 5*w + 27 = -3*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1179*g**2. Let k(c) = -5*c**2 + 5*c. Calculate k(v(s)).\nAnswer: -6950205*s**4 - 5895*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378974, 757954, 1136938, 1515926, 1894918?\nAnswer: 2273914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from abnbbnjnbjnnnnbbb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -34, 4, 17 in ascending order.\nAnswer: -34, 4, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 143. Let k(s) be the first derivative of -s**2\/2 + s - 1. Let z be k(-1). Solve -z*m + x*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 64 = 2*c, 126*p = 124*p + 10*c - 58 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 34, 114, 278, 556, 978, 1574, 2374?\n\"Answer: 5*h**3 - 3*h**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -792 - -258. Let v = w + 555. Solve -12*u + 5*u = v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = 3*y, -c = -4*c + 2*y + 2. Suppose c = -7*a + 15*a - 40. Solve -a*r = -2*u + 2 - 30, -3*r + 8 = u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 24. Suppose 2*f = 6*f. Find the second derivative of k*s**3 + f*s - 2*s - 3*s**3 wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334090.\nAnswer: 2, 5, 33409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38224 and 200676.\nAnswer: 802704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31821.923 + -21?\nAnswer: -31842.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 360839 at least as big as 360837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -35. Suppose 0 = 3*z - 31 - 62. Let l = -22 + z. Calculate the greatest common divisor of l and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnwwwwg. Give prob of picking 2 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/242 - 10529\/484. Find the common denominator of 11\/37 and q.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - (-56)\/21. Suppose 4*d - r*l = -8*l - 6, 0 = -d + 4*l + 9. Which is smaller: d or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(-5*sqrt(5) + 5)*6)**2.\nAnswer: -583200*sqrt(5) + 1749600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/1118*(-45)\/(-5))\/(8\/(-52)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 12. Let m(y) = -2*y + 24. Calculate -4*m(b) + 9*s(b).\nAnswer: -b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*o + 45 = 0, -11 = -q + 4*o - 2. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 12*x - 16. What is the least common multiple of 16 and i(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 12:07 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6030 = 4*g - 166543, 3*g = 4*o + 120416. Is 254 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110222021 (base 3) to base 8\nAnswer: -322540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(77)\/(sqrt(44)\/sqrt(4)).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.161 + 0.861. Let n = -17.3 - -17. What is the closest to x in -2, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516 divided by -3516?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(8\/(-24)). Let s = 43\/4 - 223\/20. Sort k, 3, s in decreasing order.\nAnswer: 3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*y + 310*y + 130*y)*(-1 + 1 - y).\nAnswer: -376*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/13 - 58354*o\/13 + 58352\/13 = 0. What is o?\nAnswer: 1, 29176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16807 + -265c?\nAnswer: 14178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-5))\/(31654\/(-497420))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/6 - 3*r**2 + r. Let o be p(6). Let c = o - -17. Solve -c*j + 0*t = -4*t - 29, -j = -2*t - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhshshhhs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 + 10*g**3 - 4*g**3 + 8*g**3 - 7*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2774503 to the nearest integer?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*q + 11286 = -128*q. What is the greatest common divisor of 133 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 8\/11*z + 2\/11*z**2 + 8\/11 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m**2 + m - 1. Let o be h(-1). Let j(y) = 3*y**2 - 52*y + 569. Let i be j(17). What is the highest common factor of o and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 - 3*m**2 - 2*m + 4. Calculate a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 167*k**2. Let m(h) = 233 - 3*h - 2*h - 233 + 2*h. Give m(t(z)).\nAnswer: -501*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15169 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 754010 >= 754019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:43 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43.5 * -1\nAnswer: -43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkoh when four letters picked without replacement from {k: 4, g: 1, v: 4, h: 1, o: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8, 2, -2, -12 in decreasing order.\nAnswer: 8, 2, -2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let r(n) = 22166647*n. Determine t(r(b)).\nAnswer: 44333294*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:43 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:33 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -1014?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -516\/91 - 243485\/182. Let i = 1299 + p. What is the common denominator of i and -47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.64 + 19.64. Let k be (-1)\/(-1 + (-11)\/(-2)). Let b = -3.2 + 7.2. What is the second smallest value in k, q, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*w - 7 = -1, 6 = 3*a + 3*w. Let l(f) = 15*f + 15. Let b be l(-1). What is the third derivative of -59*x**2 + 74*x**a + b*x**3 - 2*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3366 + -6452. Which is greater: -3088 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1893 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -342?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, l: 4, p: 4, g: 5}. What is prob of sequence apag?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = d - 3*u + 8, -5*u + 20 = 0. Let r(m) be the second derivative of d - m**2 - 5\/6*m**3 + m. Find the first derivative of r(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57865706 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213 + -34?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -6*o**2 - 70. Let a(w) = 30*w. Determine 5*a(s) + 12*l(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1008*f*n**2 + 2392009*f + 285*n**3 wrt n?\nAnswer: 2016*f*n + 855*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19736 * -0.194\nAnswer: 3828.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.5 (c) -6\/5 (d) 4\/5 (e) 165.6 (f) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -43*y**3 + 5*y**2 - 5*y - 54. Let z(k) = 64*k**3 - 7*k**2 + 7*k + 81. Let g(s) = 7*u(s) + 5*z(s). Differentiate g(p) with respect to p.\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 1677.886\nAnswer: 30201.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(47476\/(-8))\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045103109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/(6*(-10)\/(-2160))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 7) in base 8?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 7*v + 9. Let p(r) = r**2 - 4*r + 4. Let z(c) = 6*h(c) - 13*p(c). What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.63 + -0.714. Round q to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -100. Let r = n + 48. Solve -2*u = -5*t - 3 - 21, 2*t = -5*u + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-2891)\/(-455) - (-2)\/(-13)). What is the biggest value in l, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*k**2*l + 17*k**2 + 2*k*l - 1209 wrt k?\nAnswer: 44*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = -5*g + 35, m + 3*g = 13. Suppose -m*s = -5 - 11. Factor 3*y**5 + 8*y**4 - s*y**2 - 4*y**3 + 11*y**3 + 6*y**2.\nAnswer: y**2*(y + 1)**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 23 = -5*w, z + 3*w = -z + 17. Suppose -z*o + 31 = -81. Let x = 10 - 8. Solve x = -y + o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2197 and 1060475.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l*l*l\/(l**2*l))\/(l\/(l**(-1)\/l))**49 assuming l is positive.\nAnswer: l**(-585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 + 3. Suppose -4*o - 5*q = -26, 0 = -2*o + 7*q - 3*q. Let f(j) = 4*j + 0*j**2 + 4 - 2*j + 10*j**2 - 2*j. Calculate o*t(s) - 3*f(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.03, 0.4.\nAnswer: -3, 0.03, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202001 + 2201?\nAnswer: 211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 17*k + 13. Let t(q) = -q + 1. Determine 5*t(x) - z(x).\nAnswer: -x**2 + 12*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 386160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u = 0. Suppose -2*r = -3*l - 3*r - 227, 2*l + r + 152 = u. Calculate the remainder when 38 is divided by (-2)\/(-4) + l\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-20) - (-32)\/80. Which is the nearest to t? (a) -1 (b) 0.3 (c) 50 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560994 and 96810?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - x + 0*x + 1 - 14*x**4 + 18*x**4 to the form u + o*x**3 + d*x**2 + q*x + m*x**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5341673 - 1370\nAnswer: 5340303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2132 (base 4) to base 3\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -864458390 to the nearest one million.\nAnswer: -864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*s + 75 + 237. Solve 2*z + 4 = 4*o, 5*z + 5*o - 7 = s*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 15) to base 16.\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*k + (6 - 1 - 1)*(0*k - 2*k - k) in the form g + n*k and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w**5 - 1400617245*w**4 + 1867489720*w**3 - 622496580*w**2 = 0. What is w?\nAnswer: -31124829, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x + 8*x - 16*x)*(-1 + 0 - 1) + 4*x - 3*x - 3*x + 18*x - 8*x + 13*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 4*s - 3*s**4 + 3*s**2 - 6*s**2 - 2*s**3 to y*s**2 + o + t*s + h*s**3 + v*s**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -201612 bigger than -201613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 176.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*d**3 - 12*d - 9*d**3 - 11*d - d**2 + d wrt d.\nAnswer: 126*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846212168?\nAnswer: 2, 8069, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/1*(-180)\/90?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -0.33888918.\nAnswer: -36.33888918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**12\/i**(-1\/6) assuming i is positive.\nAnswer: i**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 99*o**2 - 637*o - 3. Let v be l(-6). Solve -12 = 3*m - 3*x - v, -4*x = -5*m + 41 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: bc43 (base 14) to base 16\nAnswer: 7f53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, r: 1, a: 1, j: 1, p: 1, m: 1}. Give prob of sequence prjk.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66787895641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.679697074 + -250913.\nAnswer: -250912.320302926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 1, f: 2, q: 1, d: 1}. What is prob of picking 1 j, 1 y, 1 f, and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - 31. Let z = s + 272. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245098?\nAnswer: 2, 7, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/480 and -191\/12720.\nAnswer: 25440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013793*-3.\nAnswer: -0.041379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000 + -1?\nAnswer: 100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99671873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374*p**2 + 1044*p?\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -6*b**5\/5 + b**4 - 4*b**3\/3 + b**2 - 43. Find the third derivative of l(i) wrt i.\nAnswer: -144*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 2, b: 1, t: 1, h: 1, m: 2, u: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/7*(-13 + 990\/81). Which is the closest to n? (a) -5 (b) -1\/5 (c) -112 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-715)\/2288)\/(2\/24))\/((-44)\/(-16))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.014? (a) 0.2 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -20*z + z**3 + 0 - 1\/2*z**2. Give w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -9*b + 35*b - 22*b, -28*c = -2*b + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(3*10\/540)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.725829 grams in nanograms?\nAnswer: 4725829000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-19) - 14751\/15048)*(10 + 256\/(-28)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 28. Calculate the smallest common multiple of c and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 31 + 36 = 121 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170857*f**5 - 472*f**2 + f - 694.\nAnswer: -10251420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxnnnnnnxnxxxbxnx. Give prob of picking 1 x and 2 n.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g + 8*g**3 - 9*g + 31*g**2 - 69*g**2 + 32*g**2 + g**4 - 17 in the form l*g**3 + m*g + c*g**4 + u + q*g**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/11 (b) 0.2 (c) -0.017 (d) -2\/9 (e) 355 (f) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, -3, 3, -21, 4, -12, -4 in decreasing order.\nAnswer: 396, 4, 3, -3, -4, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*r + 6*r - 5*g, 0 = -4*r + 2*g + 84. Suppose -8 = -r*i + 25*i. Which is the third biggest value? (a) i (b) 0 (c) -2\/19 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/1260 - j**5\/40 + j**4\/12 + j**2. Let y(t) be the second derivative of z(t). Differentiate y(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/10*176)\/((-22)\/(-165)). What is the highest common factor of 48 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0)*3 - sqrt(243) - (sqrt(243) + 1 + sqrt(243) + -2))**2 + (0 + sqrt(243) + 0 - (sqrt(243)*-1)**2*4).\nAnswer: -971 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -153\/4768, 0.3, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**41*f**(-7)\/f**(-1) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 12 = 0. Let s be 1\/3*o - -1. Calculate the highest common factor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 1077, 3639, 8629, 16857, 29133?\nAnswer: 46267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7574.99442 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 6. Let w(t) = 3*t - 1. Let o be w(-1). Let a be n(o). Let z be (2\/6)\/(a\/24). Solve 2 + 6 = z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1622787.0231 - 1622721. Let d = -33.3231 - -33.4. Let g = d + w. Round g to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 - 6. Let l be s(-5). Let z = -1 - -6. Let n(w) = z + 6*w + 0 - 4*w. Give n(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubububbu. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(242) + 4)*6 - (sqrt(22)\/(sqrt(264)\/sqrt(6)))**2).\nAnswer: -396*sqrt(2) - 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197622816*j**4 + 143429491 wrt j?\nAnswer: -790491264*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 88 = 0, -52*x - 286*n = -285*n + 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1588 = 99*p - 95*p. List the prime factors of p.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 32*f**2 - 40*f**2 + 1 - 1. Let m(k) = k - 6. Let a be m(8). Let j(l) = 6 + 0*l - a*l - 6. Determine j(t(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20.54 * -189283\nAnswer: -3887872.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**3 + 29770969*h**2 - 29770969*h**2 - 2.\nAnswer: 19*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/13 + 5\/26. What is the nearest to y in 3, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 17*j**6\/60 + j**3\/6 + 5*j**2. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/10 and 59\/860?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - w**2 + 3*w**2)*(0*w**2 - 3*w**2 - 2*w**2) + 2*w**3 - 6*w**3 + w**4 - w - 8501*w**2 + 8466*w**2.\nAnswer: 11*w**4 - 4*w**3 - 35*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 45*x**2 + 70*x.\nAnswer: 5*x*(x - 7)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474405.7mm in centimeters?\nAnswer: 47440.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvdddvvdvv. Give prob of sequence vv.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 4*s - 3*s + 2*s - s - 2*s + (-2*s + 2*s - 2*s)*(2 - 2 + 2) + 0 - 2*s + 0 + (s + s + 3*s)*(3 + 0 - 4).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -107*b + 33. Let c(h) = -53*h + 14. What is 5*c(l) - 2*r(l)?\nAnswer: -51*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 9*u + 15*u - 78. What is the remainder when 1381 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/(-3 + (5 - 27\/15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 217f - 18?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -128*v**5 + 58464*v**4 - 6579474*v**3 - 22174832*v**2 + 19394520*v - 3808800 = 0?\nAnswer: -4, 3\/8, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 2*r + 4. Let k be o(-6). Find the common denominator of -2 - (1 + k\/9) and 1371\/(-8683) + 586\/(-741).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -345.94 - -345.44. Let s be (3\/(-32))\/(1\/(-4)). Which is the second biggest value? (a) s (b) -0.4 (c) j (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 - 5*v**3\/6 + 2*v**2 + 4*v + 13. Give k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 24. Differentiate 14*s**d - 33 + 1503*s - 1503*s with respect to s.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 88 = 24*s - 174 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221201 (base 3) in base 9?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5089 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5799 + 570596582.\nAnswer: 570602381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63440\/(-936) + 68)*(15\/8 + -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33257 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19546 and 0.271?\nAnswer: 19546.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2265742 + 2265768.00054. Let b = -26 + y. Round b to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x**2 + x. Let b(c) = -1264*c**2 - 3*c + 2236. Let p(m) = b(m) + 3*n(m). What is the derivative of p(v) wrt v?\nAnswer: -2612*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeetteeeeeee. What is prob of sequence et?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -509968.02 to the nearest 1000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 92, 96, 98, 98, 96, 92, 86?\n\"Answer: -c**2 + 7*c + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -38868459 and -38868458 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + 16)*6\/(-4). Let p(m) = m**3 + 2*m**2 - 2*m + 7. Let s be p(a). Suppose -l + 19 - 6 = -s*y, 0 = 4*l + 4*y + 48. Is l smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 4*r**2 - 41*r - 108. Let n be h(-3). What is the greatest common divisor of n and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(605) - 2*sqrt(605)) + sqrt(605) + -2 - (sqrt(605) + (sqrt(605) + -2)*1 + sqrt(605))) + 1 + -5 + 0)**2.\nAnswer: 462*sqrt(5) + 5494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.07533mm to kilometers.\nAnswer: 0.00004707533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/7 - (185820\/7)\/(-19) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1555, -1569, -1601, -1663, -1767, -1925, -2149?\n\"Answer: -2*h**3 + 3*h**2 - 9*h - 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*p**3 - 24\/7*p**2 + 3\/7*p**4 + 54\/7*p - 27\/7.\nAnswer: 3*(p - 3)*(p - 1)**2*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 0 - 5587*a - 2188*a.\nAnswer: -7775*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 451880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1367714, 2735987, 4104260, 5472533, 6840806?\nAnswer: 8209079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-2))\/((-3)\/(-4)). Let y be 2\/(o\/(4 - 2)). Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8330 and 1089830?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, 4, -1.34, 39, 40\/3.\nAnswer: -3, -1.34, -1, 2, 4, 40\/3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:58 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = 408 - 712 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 15. Let p be -18*(1 - (-20)\/(-12)). Let r be v(p). Solve -5 = 2*d - r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*x = 28 + 10, 5*x = 3*t - 63. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22475\/(-10540) - (-7)\/(-4)) + 2\/(-17). Put 4, j, -2516, -3 in ascending order.\nAnswer: -2516, j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = -8. Suppose 4*a = 2*a + 3*m + 117, -223 = -w*a - 5*m. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 388836875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/90)\/(20\/(-240)). Let m(u) be the first derivative of -1 + 2*u**2 + 0*u + n*u**5 - 4\/3*u**3 - u**4. Factor m(p).\nAnswer: 4*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 70631.4 millennia?\nAnswer: 847576800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Put 3, p, -3 in increasing order.\nAnswer: -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -161425, -161425, -161439, -161467, -161509, -161565?\n\"Answer: -7*v**2 + 21*v - 161439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -41. Let q = t - -11.99999984. Round q to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28758?\nAnswer: 2, 3, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 + 7*c**4\/4 + c**3 - 3*c**2 = 0. Calculate c.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 34 = n. Suppose -4*q = -n - 5. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31448*-26.\nAnswer: -817648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.1, -1, -0.1, 3487?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 40 = 4*a, 32 = 25*a - 27*a - 5*d for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) 90 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**3 - 30*p - 3*p**3 + 20*p**2 - 37*p**4 + 16*p + 12*p wrt p?\nAnswer: -888*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*l**3*w**2 + 2*l**3*w + 2*l**3 + 291*l**2*w**2 + 769*l**2*w - 2*l*w**2 + l*w + 2*w**2 + 129*w wrt w.\nAnswer: 130*l**3 + 582*l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75405611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10432463 divided by -739.\nAnswer: -14117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 17149*i + 28 = 17145*i, 0 = -l + 3*i + 1 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -901 - -977. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 103535280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2758 and 979.\nAnswer: 270.0082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:35 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-2*1 + sqrt(360))\/(sqrt(648) - 1*sqrt(648) - sqrt(8)))\/(-5*sqrt(576) + (-3*sqrt(576) + sqrt(576) - sqrt(576))).\nAnswer: -sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 5, -2\/3, 11.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 196410852 to the power of 1\/2, to the nearest integer?\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*d - 3*d + 88 + 0*d.\nAnswer: -5*d + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 20*u + 141. Let m be j(5). Let d = 0 - 0. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-28\/9)*l**(4\/23)*l**17*l**19 assuming l is positive.\nAnswer: l**(6844\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m\/(m\/(m*m*m\/m**9)*m))\/(m**(2\/9)\/(m**14*m)) assuming m is positive.\nAnswer: m**(377\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 10*x - 54. Let r(l) be the third derivative of 0*l**x - 9*l**2 - 2\/15*l**5 + 1\/24*l**4 + 0 + 0*l. What is the second derivative of r(t) wrt t?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 11152505?\nAnswer: 11152502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + -2 + 4 + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 50865141?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 14 + 2*r - 22 + (-2 - 1 + 4)*(0*r - 4*r + 6*r) to the form a*r + l and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 125 and -0.0252.\nAnswer: 124.9748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.750318 - -14.8647235. Let f = -3.114415 + s. Let u = f + -11. Round u to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/y**(-1\/9)*y)\/y*y**17)\/(y**(-24)*y**(-19\/5)))**(-38) assuming y is positive.\nAnswer: y**(-81928\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5)*q)\/q)\/q*q**3*(q\/(q*q*q*q**4))\/(q*q*q**4\/q) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.9 + 60. Let x = -0.22 - 10.28. Let k = x + b. Round k to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/24 + 5*i**3\/6 + 6*i**2. Let s(y) = -2 - 9 - 8 + 2*y**3 - 2 + 18. Calculate -3*c(f) - 5*s(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 52*x + 55*x = 44, -4*w = -3*x - 68. Solve -13*p = -w*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -21*u - 692. Let q be w(-33). Solve 4*i + 13 = 3*v, -5*v - q + 0 = -i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6\/(-4) - (-51)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-3)\/(18\/(-4)). Suppose -3*q - 2*d = -16, -3*q = 2*q + 3*d - 25. Suppose 8*s - 4*s + 4 = 0. Sort r, q, s in decreasing order.\nAnswer: q, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64 - 34) + 68 - 54\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 + 5)*(0*h**2 - 2*h**2 + 0*h**2).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23263, -46484, -69705, -92926?\nAnswer: -116147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.3678569 to one dp.\nAnswer: -121.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 950406 - 565687. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 1 - 1)*(1 + 0 + 1) - 175 + 175 - 7*d + (-4 - 1 + 4)*(0*d - 7*d + 4*d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11))))**2*6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12521 + 6261 + 6283 - 2*q**3 - q**2 + (5 - 2*q**2 - 5)*(-5*q + 5*q - 3*q) to m*q + l + b*q**3 + r*q**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 544179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 557381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/118 + 103\/354. Which is the closest to 0? (a) -2\/13 (b) 3 (c) 1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 0 + -3 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 88*n + 332. Determine a(40).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28459\/5 or -5693?\nAnswer: -28459\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v + 2. Let g be (12\/(-9) - -1)\/(3\/(-18)). Let t(z) = 2*z**3 - 3*z - 7. What is g*t(b) + 7*f(b)?\nAnswer: -3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 0*h + h - 2*h. Let i(z) be the third derivative of z**6\/180 - 11*z**3\/3 + 15*z**2. Let n(d) be the first derivative of i(d). What is n(c(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 67*z - 783. Let k be v(46). Calculate the highest common divisor of k and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6470021 is divided by 3248.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j - 2*m - 13, 3*m = -3. Suppose 2*k - 16 - 138 = 0. Calculate the highest common factor of k and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(175) + 0) - (-2*sqrt(84)*2 - sqrt(84))\/sqrt(12).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 3*n - 13, -3*n + 18 = 3*c. Let y = 682 - 680. Let z = -1 + 3. Solve z = n*f - 2*s, f = y*f - s + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*l - 190 = 0, -3*k + 244 = k - 2*l. Suppose 3*u = u - 4*x + k, 3*x + 55 = u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23260*l**3 + 27074628*l**2 + 7878706272*l - 4064688 = 0. What is l?\nAnswer: -582, 3\/5815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*p + 2*f, -5*p + 4 - 28 = -f. Let u(a) = a**2 - 1 + 4*a + 2 + 0. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.932 + -0.814. Round p to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -9, -0.4 in ascending order.\nAnswer: -120, -9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50132.\nAnswer: 2, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1128*o**4 + 71681*o + 17880951 wrt o.\nAnswer: 4512*o**3 + 71681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -308, -483, -630, -743, -816, -843, -818, -735?\n\"Answer: t**3 + 8*t**2 - 206*t - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 7\/3*m**3 + 5\/2*m**2 + 1\/4*m**4 - 4*m - 22. What is k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111512, 110985, 110462, 109943, 109428, 108917?\n\"Answer: 2*r**2 - 533*r + 112043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -4\/37, 5, 2?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 79 - 79 + 7*l**2. Let f(q) = -2*q + 0*q + 0*q. What is f(p(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f**(-3\/5)*f))\/f)\/(f\/((f\/f**(-6))\/f))*(f**(-2\/9)*f)**(-15\/8)*(f\/f**(-6))\/f**(7\/5)*f*f**(2\/9)*f**(-4)\/f assuming f is positive.\nAnswer: f**(2147\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -4*u**2 + 0 + 0*u**6 + 0*u**4 + 1\/70*u**7 + 0*u + 0*u**5 - 1\/3*u**3. Find the first derivative of w(d) wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) 0.06 (c) -2 (d) 0.4 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15995*g + 41345 - 41345.\nAnswer: 15995*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 0\/(-2 + 0). Let w be (6\/l)\/((-3)\/15). Suppose -2*b = -4*j + 115992, 0 = b + 3*b + w*j + 232006. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606362 - 2821.93?\nAnswer: -609183.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9244906 - -4.\nAnswer: 4.9244906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, -17, -36?\n\"Answer: -19*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 18322776 and 18322776 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1706 + 1694. Let l(i) = -i**2 + 12*i + 19. Let b be l(13). Let t be 4\/b*(-90)\/(-12). Sort 3, t, c in increasing order.\nAnswer: c, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q**5*z**3 + 2*q**2*z**3 + 5*q**2 + 5*q*z**3 wrt q.\nAnswer: 900*q**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15852 + -268?\nAnswer: -16231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -5 (b) -2 (c) -4\/3 (d) 1.3 (e) -1\/47 (f) 49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54962 or -219845\/4?\nAnswer: -219845\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 35 = -4*z - 30, -12 = -3*z - 2*p - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3591)\/4)\/((-24)\/64) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.6 + -496.4. Let v = -366 - u. Let d = v + -159.000218. What is d rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11443b (base 13) in base 3?\nAnswer: 202210112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 24*r**2 + 44*r - 26. What is the tens digit of c(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20145 is divided by 8449?\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -547b + 3c2?\nAnswer: -50a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9 and -45\/38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1069b9 + 457?\nAnswer: 107254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000139215 rounded to 7 decimal places?\nAnswer: -0.0001392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**7\/3780 + s**6\/324 - 2*s**5\/135 + s**4\/27 - 13*s**3\/6 + 15*s**2. Let y(d) be the first derivative of j(d). Factor y(h).\nAnswer: -2*(h - 2)**2*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8068 (b) -6\/5 (c) -0.8 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66 + 4\/4 + 4. Suppose -69*m - 22 = -n*m. Solve 3*u = 2 - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2696255 + -25.\nAnswer: 2696230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6656)\/212667 - (-1100)\/67650?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + l - 17 = -3*c, 0 = l - 1. Let o = 9 - 8. Suppose k - 4*k = 5*k + 40. Sort c, k, o, -2 in increasing order.\nAnswer: k, -2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 11*k**2 + 3*k + 23. Give l(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**4 + 145474155*j**3 - 1071677183 wrt j.\nAnswer: -12*j**3 + 436422465*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3 + 7 + 14 - 9 + 4*t - 2*t - 13*t**2. Calculate y(-3).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 2*j**2 + 0*j**3 + 1\/12*j**5 + 0*j**4 + 0. Let t(p) = p. Give t(v(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128975?\nAnswer: 5, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert aea9 (base 16) to base 3.\nAnswer: 2021100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 69*i - 164. Let q be p(37). Factor 12666*s**2 + 15*s + 102*s - 36 - 12730*s**2 - q*s.\nAnswer: -4*(4*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/((-21)\/(-224)*-4). Let f(p) = -p + 10. Let l be f(6). Which is the second biggest value? (a) 2\/25 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 52.0113. Round f to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 2*t**2 + 7*t - 10. Let d be 7 - (27\/18)\/((-2)\/(-4)). Let y = 1 + d. Does 25 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*-11*1080\/1782?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/16*((-24)\/21)\/4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974184 = 397*c - 419803 + 354995. What is the greatest common factor of 432 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(42\/(-9) + -2). Suppose q - s = 11. Solve 0 = -5*j + q - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2074\/11 or -2\/67?\nAnswer: -2074\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1990 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -35 in decreasing order.\nAnswer: 0, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247310 and 1000.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k - 51*k + 68*k.\nAnswer: 93*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 6*s + (-s + 3*s - s)*(-5 + 5 - 1) - 221*s + 90*s + 21*s)*(-2*s**4 + 4*s**2 - 4*s**2).\nAnswer: 226*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 9 = 0. Suppose 0 = 2*b + 3*o + 8 + n, -2*b + 29 = -5*o. What is the second derivative of 29*w**5 + 3*w**b - 2*w - 41*w**5 - 3*w**2 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 3, 1090, -3 in increasing order.\nAnswer: -3, 0.1, 3, 5, 1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7229 - (2\/(-1) + 1\/((-9)\/(-72))).\nAnswer: 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2045, -2101, -2157?\n\"Answer: -56*x - 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c - 210 + 210)*(-10*c - 5 + 0 + 6).\nAnswer: -210*c**2 + 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 20bb8 (base 12) to base 4\nAnswer: 22202330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -141*k - 152*k - 143*k + 425*k. Let u(q) = 5*q - 16. Give w(u(a)).\nAnswer: -55*a + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 - 12*j - 10. Let z be p(12). Let s(b) = b**2 + 8*b - 10. Is 6 a factor of s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:52 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*-2)\/(sqrt(847) - -1*sqrt(847)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390024 is divided by 695012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.96. Let d = 4.0589 - -0.1131. Let t = d - 0.172. Put 0.2, s, t in descending order.\nAnswer: t, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-124) - 21\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*(-7 + 16 + (-7 - -2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35978903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1853, 7490, 16935, 30194, 47273, 68178, 92915?\n\"Answer: z**3 + 1898*z**2 - 64*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -3*v, -3*v + 4*j - 45 = -43. Solve 0 = 2*d - 8, -9 = -l + v*l - 3*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)*1\/(-2). Suppose 0 = 70*m - 5819 + 6029. Sort 4, m, k, -6 in decreasing order.\nAnswer: 4, k, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963087863?\nAnswer: 127, 619, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 46. List the prime factors of v\/(-60)*3 + 327\/15.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-22) + (20358\/198)\/13 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:59 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 138, 464, 1098, 2142?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, l: 4}. What is prob of picking 3 u?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:58 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8835 divided by -2?\nAnswer: -8835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8269 at least -8269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*((b\/(b*(b**(-14\/9)*b)\/b))\/b*b)\/b*b*b\/b**(8\/3) assuming b is positive.\nAnswer: b**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.037\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -45. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q + 24. Let z(r) = -3*r**2 - 11*r + 71. Calculate -11*k(l) + 4*z(l).\nAnswer: -l**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2715087 rounded to 3 decimal places?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38357.77 nanometers in centimeters?\nAnswer: 0.003835777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -4. Let a(y) = y**2 + 13*y - 43. Let l be a(-15). Let h = l - c. Sort h, 5, 4 in decreasing order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/1)\/1 - 0. Suppose -7*i + 4*i + 141 = 0. Let c = i - w. Calculate the lowest common multiple of 2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-444)\/(-14) + 6\/21. Let f be w\/20 + (-2)\/(-5). Suppose 3*l = -f*c + 105, -c + 3*l + 23 = -7. What is the greatest common divisor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/(-18))\/(-2) + (-1 - 12\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -416*o + 20805. Determine h(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:11 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 + 3*i - 1. Let c be u(-4). Let q = -207 - -186. Let h = c - q. What is the remainder when 15 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q + 6*q + 44*b - 39*b + 116, -4*q + 396 = -19*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*x - 3 + 2*x**2 + x**4 + x**3 in the form f*x**4 + a*x**3 + l + o*x + j*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by 6.\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 1227438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -50. Suppose -3*x - x + h*n = 13, 4*x - 17 = -n. Solve -x*c - 5*w = c, 0 = c - 5*w - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.268 to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujbu when four letters picked without replacement from {b: 1, u: 2, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -3*k. Let c(r) = 2*r - 7. Suppose 43 = -3*l + 4*o, 0 = 3*l + 2*o + 3*o + 7. Let w(y) = -y + 3. Determine k*c(j) + l*w(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2055.\nAnswer: 1\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2*j**2 + d**2*j - 760*d*j**3 + 7150*j**3 wrt d.\nAnswer: -6*d*j**2 + 2*d*j - 760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 83029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 208351 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(1584))**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(272) + sqrt(272)*-1*3 - (sqrt(272) + 2 + sqrt(272) + -3)) + -5*-3*-1*sqrt(272)*-6)**2.\nAnswer: 2064*sqrt(17) + 2011721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 3. Let c be l(26). Let u = -59 + c. Let t(x) = -x**3 - 5*x**2 - 3*x. Calculate t(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -4066719373399.\nAnswer: -4066719373402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -50d?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62049*g**3 - 1624110*g**2 + 1624110*g**2 - 62040*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -71\/3. Let b = -45\/28 + 415\/84. Suppose 3\/2*j**2 + b*j + v = 0. What is j?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:12 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 20 = -f. Let l(g) = g**2 + 2*g - 2. Let s be l(f). Let q(d) = 9*d - s*d - 2*d. Let i(u) = 2*u**2. Determine q(i(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3437\/6219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 2*n + 16 = 0, -7 = -5*u + n. Let b be 15\/6*u - -1. Suppose 3*m - b = -0*m. Put -3, 4, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - sqrt(56))\/sqrt(7))\/(-1*sqrt(64)) - -1*(sqrt(128) + 2 + sqrt(128) - sqrt(128))*-4.\nAnswer: -129*sqrt(2)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*h - 5 = -4*h, 2*r - 17 = 3*h. Suppose 5*x = -r*v + 2*v + 35, 3 = x - 3*v. Calculate the smallest common multiple of 7 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*l**3 - 947*l**3 - 402*l**3 - 14.\nAnswer: 3*l**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05970205678 rounded to four decimal places?\nAnswer: -0.0597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19864 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*o + 75264 + 3\/2*o**2 = 0.\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = s, 4*s + 8 = 5*m + s. Suppose 4*k - 3 = 5. Let h(i) = 0*i**k - 7*i**3 + 4*i**3 + 10*i**3 - i**2. Calculate h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-3*f**3 - 3*f**3 + 8*f**3) + (100*f**2 + 2 - 6*f**3 - 100*f**2)*(3 + 2 - 4) in the form j*f**2 + u + d*f**3 + s*f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 3 (b) 4 (c) -168\/13 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 0.5. Let v = g - -0.02. What is the closest to 1 in -1\/2, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35435637 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-28))\/(2\/4). Solve z*a + 2*a**2 - 3\/2 = 0 for a.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56926, 113914, 170896, 227866, 284818, 341746, 398644, 455506?\nAnswer: 512326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 613603203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m - m + 0*m. Suppose 4*j - 7 = 1. Let z(q) = -2*q**2 + 0*q**2 + 9*q**j. Give w(z(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11611\/(-238) - (-72 + 24)) + 10\/(-14).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 556*o**3 + 3*o**2 - 2 - 1083*o**3 + 525*o**3 - 37*o to the form f*o + d*o**3 + p*o**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 74, -0.58 in descending order.\nAnswer: 74, 1.8, -0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 20. Suppose 0 = -5*m + r, -f - m = -7 - 1. Determine v, given that -4*v**3 - 53*v**5 - 59*v**5 + 116*v**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-19 - (-22 + 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -149, 3 in ascending order.\nAnswer: -149, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Suppose -w*d = 3*d + 2*i - 2341, -943 = -2*d - 3*i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81089.\nAnswer: 131, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/432)\/((-4)\/(-6)). Let f(d) be the second derivative of 2*d + 1\/80*d**5 + 0 + 0*d**2 + 0*d**3 - r*d**4. Suppose f(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4509*d**3 - 1909*d**2 - 3*d - 3. Let g(f) = 13548*f**3 + 5728*f**2 + 8*f + 8. Let q(h) = -3*g(h) - 8*x(h). Find the third derivative of q(l) wrt l.\nAnswer: -27432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 7 = -6*x. Suppose -3*z = -q + 67, -z + 40 = q - x. Let b = 84 - q. Is 31 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 8. Let i be (0 + 1)\/(7 - h). What is the second biggest value in -1\/3, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177278 and 3141958?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (18 - 10)) + 25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6868439 times -1?\nAnswer: 6868439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/30100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1101 - -1097. Let g = 112\/9 - 12. What is the smallest value in -5, g, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 11971 - 11962 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*a - 6617 + 181 - 3406 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.29 + 6.29. Is x greater than or equal to -1\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2731\/3612945 + -5\/1811. Let d = g + 189589\/31920. Find the common denominator of d and (10105\/329 - 22)*(6\/(-21) + (-39)\/(-210)).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-36))\/((-2)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + -1)*2 - (-4*sqrt(304) + sqrt(19) + (-5*sqrt(304))**2).\nAnswer: -7600 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13450*p - 121039. Give h(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*q - 134 = 136, 0 = -y + 2*q - 135. Which is smaller: -138 or y?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Suppose -3*y = 2*y + 5*d - 1430, -m = 2*d. Suppose 2 - 4 = -2*f, -f = -2*k + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -3\/14, -4, 14 in descending order.\nAnswer: 14, 5, -3\/14, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7 and 1\/9004452.\nAnswer: 63031164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, 1, -532.\nAnswer: -532, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-13) - 4500\/1365. Let s = c + 103\/35. Let j = 38 + -28. Put j, 1, s in decreasing order.\nAnswer: j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:35 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 139. Let l be t(13). Suppose -4*i - 59 + 7 = 0. Let y = -8 - i. Solve -y*k = l + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 55 = 5*g, g + 0*k = 2*k - 1. Calculate the remainder when (-2)\/3 + 564\/g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*f - 630 = -10640 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18120\/(-150) + (3 - (-322)\/(-70))*6\/8?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 483.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 6*a + 486. Give w(-24).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 35594503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 3446*m + 3447.\nAnswer: -(m - 1)*(m + 3447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 9:39 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241146, 482425, 723704, 964983, 1206262?\nAnswer: 1447541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2624350 - 0?\nAnswer: 2624350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4*l + 4883*b**2 + 2*b*l + 65883*l wrt b.\nAnswer: 4*b**3*l + 9766*b + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/(l*l*l**2\/l*l)*(l\/l**5)\/l*(l\/(l\/l**5))\/l)**(4\/13))**(-2\/13) assuming l is positive.\nAnswer: l**(16\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:33 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m**2 + 6*m**2 - m**2)*(-17*m + 52 - 52) + m**3 + 2*m**3 + m**3 to a + w*m + b*m**2 + g*m**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6656323.5 seconds to days.\nAnswer: 77.04078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/((9\/(-6))\/3). Let x be 3*g\/330*(-1 + 2). Is x greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-46)*(315\/10)\/(-9)*376\/658\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743402 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*i - 3, -2*q + 11 = 4*i + 1. Let b be q\/(-12) - (-22)\/8. Solve -5*s + 2*u + u = 24, 4*u = -5*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1427205 (base 8) to base 13.\nAnswer: -112526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4763669497960560 - -4763669523998121.58800521. Let a = f + -26036954.588. Let b = 607 - a. What is b rounded to seven dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.91 times 178972?\nAnswer: -1415668.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -724126?\nAnswer: 724127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 72 = -7*d. Let y = 6 + -10. Let r be ((-2)\/6)\/(y\/d). Solve -k = r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28033781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/7)*w**(-1\/4)*w)\/(w**(2\/3)\/w*w*w)**(7\/6))**(3\/22) assuming w is positive.\nAnswer: w**(95\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 - 452*o**2 + 14792*o - 113344 = 0.\nAnswer: 11, 46, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 - -147. List the prime factors of h.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*l - 17, 2*l + 44 = 4*j - 24. Let k(o) = 4*o**2 + 6*o + 5. Let w be k(-4). Suppose -n - 4*n = -w. What is the remainder when j is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) 21 (c) -1\/7 (d) -156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 - 3*o**3 + 0*o**3 + (-2*o**2 - 8*o**2 - 22*o**2)*(-22 + 22 + 4*o))*(-1 - 3 - 1).\nAnswer: 675*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 10. Is 2 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -3 + 57 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**3\/6 + 3*x**2\/2 - 21*x + 12. Let i(o) be the first derivative of b(o). Determine i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*24\/(-60). Which is smaller: -4\/9 or s?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let s be -259351 - (18\/3 - q). Let b = s - -68355. Round b to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 3*j)*(2*j - 6 + 4 + 4)*(j**2 - 6*j**2 - 3*j**2).\nAnswer: -48*j**4 - 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 154\/19 - (-15)\/((-7980)\/56)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.52 - 175.52. Let c = -176 - s. What is the third biggest value in 3\/7, c, 0.4, -10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 6, -0.1, 1\/3, 0.5 in descending order.\nAnswer: 67, 6, 0.5, 1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2488321 and 1499048.\nAnswer: 3987369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -1\/4*f**5 - 5*f**2 - 1\/12*f**6 + 5\/3*f**3 + 5\/8*f**4 - 6*f + 0. Suppose t(o) = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 79*x + 333. Let z be n(16). What is the greatest common factor of z and 11129?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 11) to base 12\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -44613?\nAnswer: -44613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 27. Suppose -2*a + a = -u. Let f = -1 - -1. Solve f*c = 4*w + a*c + 4, 5*w - 2*c + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569535559 is divided by 3569.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 923*q**3 + 169*q - 169. Let p(c) = -11*c**3 - 2*c + 2. Let w(j) = j**2 - 36*j - 3270. Let a be w(78). Give a*z(l) + 507*p(l).\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -294*r**3 - 2*r**2 + 2*r - 2. Let i(k) = -881*k**3 - 7*k**2 + 7*k - 7. Calculate -4*i(j) + 14*n(j).\nAnswer: -592*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - h**2 - h + 1. Let l(m) = 6*m**3 + 3*m**2 + 3*m - 3. Let u(y) = -4*l(y) - 11*t(y). Is u(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 2*u. Solve u = -5*s - 0*s - 2*z + 3, s + 4*z = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 24*y**2 - 26*y + 28. Let f be l(25). Solve 15 + 221*w**3 + 275*w**2 - 140*w + 36*w**3 - 7*w**f = 0.\nAnswer: -3\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(4 - 4 + 1)*(0*o - 50*o - 156*o)*(-2*o + 2*o - o**3).\nAnswer: 1030*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**4\/3 + 5*b**3\/6 + b**2\/2 + 5*b - 44. What is h(5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -114. Let m(l) = 5*l + 9. Calculate m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s = 0. Suppose -5*y + 8 + 42 = s. Let f(z) = 2*z**2 - 13*z - 12. What is the units digit of f(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 5107\/11 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + 4*y**3 + 0*y**3 - 8*y**3 + 5 + 5*y**2 + 5*y. Let f be 3\/5 + 84\/(-15). Let v(b) = 4*b**3 - 3*b**2 - 3*b - 3. What is f*v(n) - 3*h(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -20, -26, -34, -44, -56?\n\"Answer: -t**2 - t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**22*f*f**(4\/9) assuming f is positive.\nAnswer: f**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.45 and -3.631.\nAnswer: 9.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4938 divided by 3.\nAnswer: -1646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/73 (b) -3\/1213 (c) 0.14 (d) -5.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-3 - -3*-1*sqrt(136))\/(sqrt(16)\/sqrt(2)*-3 - (sqrt(800)*-2 + sqrt(800))).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -247\/3. What is the closest to 0.1 in 2, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**3 + 20*d**2 - 17*d + 8. Let b(w) = -5*w**3 + 7*w**2 - 6*w + 3. Let s(n) = 11*b(n) - 4*x(n). Let o = -1092 - -1094. Calculate s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*w*y**3 + 76*n*w*y**2 - 4*n*w + 8*n*y**3 - 9*w*y**3 + w*y**2 - 5*w - 2*y**3 - 4*y**2 wrt y.\nAnswer: -6*n*w + 48*n - 54*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s - 1911446 - 671596 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -163*o**2 - 4594*o - 842. Calculate w(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-14) - -1) + (-161)\/(-49). Suppose -f + y + 41 = 0, 2*f + g*y = -y + 88. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y + 7*y - 96. Suppose d = 5*i + 36, 0 = 5*i - 2*i - y*d + 8. Let s(o) = o**3 + 9*o**2 + 6*o - 11. Give s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 585572*z\/5 - 42861820898\/5 = 0 for z.\nAnswer: 146393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/3 - 6*z**2 - 356\/3*z.\nAnswer: -2*(z + 20)*(9*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + 1415?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + g - 3*g - 23 = 0, -3*g = -2*r - 13. Let h(l) = l**2 + 2*l - 11. Let b be h(r). Let q = 4 - b. Solve q = -p - 0*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*v**5 - 28264*v**4 - 26298503*v**2?\nAnswer: 7380*v**2 - 678336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20593 + -20591. Put -10\/417, -0.3, k in ascending order.\nAnswer: -0.3, -10\/417, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 405870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p**3 + 4 + 2*p**2 - 5 - p**2 - 2*p in the form v*p**2 + h*p**3 + i + q*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 345*x - 1725. Let k be i(5). Solve 12*n - 178 + 82 = k for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 8*a - 3. Let j be k(-3). What is the greatest common factor of j and 1908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let s = 0.031 - 0.031. What is the third smallest value in n, s, -2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100220046733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -108150987*-4\nAnswer: 432603948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-1) - (-22)\/108*22 and -107\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**2 + 2 + 1\/4*r**4 + 0*r**3 + 13*r. What is the first derivative of k(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302993?\nAnswer: 19, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -66*o - 18. Let a be i(-2). Let r(f) = -51*f - 27*f + a*f. Let w(m) = 2*m. What is w(r(l))?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:36 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + y - 5*y = 21, -4*a - y = -16. Suppose 5*j - 110 = -3*l + 39, -15 = -a*l. Suppose -3*r = -4*r + j. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19944.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228684\/(-631890) - ((-5)\/(-3) - 2).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -112, -304, -588, -964, -1432, -1992?\n\"Answer: -46*i**2 + 38*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70426 from 0.5.\nAnswer: -70425.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -494908 - 0.4?\nAnswer: -494908.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17)\/((z*z**5)\/z))\/(z**(-2\/3))**32*((z**(-4)\/z*z)**(28\/9))**6 assuming z is positive.\nAnswer: z**(-2969\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3476 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 25. Let f be h\/22 + (-168)\/(-198). Suppose 0 - 5 = -5*j + 5*l, -5*j + 4*l = -2. What is the second biggest value in f, j, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in months?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 124\/44 - 2\/(-11). Suppose -s*a - 3*a + 18 = 0. Suppose -a*u = 2*t + 4, -3*u = 4*t - u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/35459 greater than or equal to 19\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535869 - -753274. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 45*n**2 - 235*n - 81. Determine s(-27).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 4544 + 57244 = 0. What is c rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*u = -146 + 642, 3*u + 484 = 5*i. Let r = -5 + -57. Let z = i + r. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8199 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195339 by 23.\nAnswer: 8493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - d = k + 2, 14 = -5*k + 2*d. Calculate the remainder when 1\/(10\/826) + k\/(-5) is divided by 36\/(6 + -3)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -65*x**2. Let r(w) = 15*w**2. What is i(r(d))?\nAnswer: -14625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 134*o**2 - 116*o + 1346. Determine f(-68).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 11*y + 52 = 0. Let j be (39\/y)\/((-153)\/8). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001000000111 + -11100111001?\nAnswer: 110101011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 765 and 1503.\nAnswer: 127755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4361884 + 13.48264\nAnswer: 13.9188284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.205 in 26, 10, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 985 divided by -12946\nAnswer: -985\/12946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-30\/7)*((k*k\/(k*((k*k**16)\/k)\/k))\/k)\/k*k\/((((k*(k*k**(-3\/7))\/k*k)\/k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-654\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 18*j + 12. What is the units digit of (240\/2)\/5 - j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 + 4291 - 1864 + 2728 + 4020)*(-5 + 5 + h).\nAnswer: 8977*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnrz when four letters picked without replacement from {r: 7, n: 4, z: 8, g: 1}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8*f)\/(f\/(f*f**(-5\/3)*f)))\/((f*f*(f\/(f*f**(-2\/5)))\/f)\/f**(-2\/11)) assuming f is positive.\nAnswer: f**(1114\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2507 = -4*h + r - 2509, -4 = -3*h - 2*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12991, 12984, 12967, 12934, 12879, 12796, 12679?\nAnswer: 12522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + -3 - sqrt(17)) + (sqrt(187)*-1)\/sqrt(11) + sqrt(85)\/(sqrt(35)\/(sqrt(7)*-2)).\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 11*y**2 - 33*y - 21. Calculate v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = -5*l - 15, -5*l = -v + 15. Let j be (-41)\/(-1) - (-12)\/l. Is j != 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-65)*30\/(-18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 52\/691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a*a**(-5)\/a*(((a*a**(-1\/3))\/a*a)\/a)**(3\/8) assuming a is positive.\nAnswer: a**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k = 1562*k - 14723 - 32905 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/176 - 66\/(-272)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/4369 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.2863 grams to micrograms.\nAnswer: 776286300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-5 + 5 - 2*r)*(r**2 - 2*r**2 + 0*r**2) + 3*r**3 + 0*r**3 + 2 - r**3.\nAnswer: 6*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -33*k + k**3 - 3*k**2 + 15*k - k**2 - 2*k**2 + 3*k. Determine w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:23 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + w = -20479, 0 = -4*c + 5*w + 66779 + 15133. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1637521357 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -94*g + 1. Let v(m) = 2*m + 2. Calculate u(a) - 2*v(a).\nAnswer: -98*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 163*q**3\/6 + 247*q**2 - 196*q + 2. Let b be k(-3). What is t in -1\/6*t**b + 1\/6*t**3 - 1\/6*t**2 + 1\/6*t**4 + 0*t + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + -3*sqrt(240)*-2)\/(6*sqrt(300)*-2).\nAnswer: -7*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*q - 9 - 56 - 429 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - -6 - (1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9081\/40 - 227. Let t = -478 - -480. Sort 0.1, t, m in decreasing order.\nAnswer: t, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 80*q**4 - 462*q**3 + 3872*q**2 + 27776*q = 0. What is q?\nAnswer: -31, -8, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 26. Let d = -36 + l. Let i = d - 9. Sort 1\/2, 2\/9, i in ascending order.\nAnswer: 2\/9, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 798413.9 centuries?\nAnswer: 79841390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-57)\/(-6))\/((-2)\/(-24)). Let z = w - 111. Suppose z*n - 64 = -34. Which is smaller: 26\/3 or n?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201213310310 - 1?\nAnswer: 201213310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjjjjjtjjtjtjjjjt. What is prob of sequence tj?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - -15) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.4, -2\/9, -0.1, -0.6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170917797 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f97 + 1?\nAnswer: -8f96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**2*k - 77434589*i**2 + 3*i*k**2 - i - 4*k**2 - 14625*k wrt k?\nAnswer: 3*i**2 + 6*i*k - 8*k - 14625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -p + 61. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-12 - -16) + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-30)\/22)*4\/(-40)*43780\/5572\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25388\/60 + -2 - 2\/(-10). Let t = -2114\/5 + m. Calculate the common denominator of 77\/57 and t.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.04, -0.2, 0.04, -130.9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23552)\/(-496248) - (-46)\/2139.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(15) + sqrt(15)*2 - sqrt(15)))\/(sqrt(45)\/(sqrt(18)\/sqrt(2))).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.05, 0.03, 0, -4 in decreasing order.\nAnswer: 0.3, 0.05, 0.03, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -2\/3*g**3 + 1\/210*g**7 + 0*g**6 + 3*g**2 + 0*g + 0*g**4 + 0 + 0*g**5. Differentiate u(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 + 11*f**2 + 13*f + 19. Suppose -2728 = -159*h + 407*h. Let g(d) = -4*d**3 + 6*d**2 + 7*d + 10. What is h*g(v) + 6*t(v)?\nAnswer: 2*v**3 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-160))\/((-4)\/(-18)*6)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 356954044 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 296*k**2 - 1437*k - 389. What is x(-291)?\nAnswer: -5627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48686, 194737, 438154, 778937?\n\"Answer: 48683*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 995 - 612. Let g = c - 383. Put -0.27, -1\/5, g in descending order.\nAnswer: g, -1\/5, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(272) - (0 + sqrt(425))**2) + 1*(((sqrt(17) + 0)*-2)**2 + sqrt(17))*1.\nAnswer: -359 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 18. Let z be (o\/(-27))\/((-1)\/15). Suppose -z*i = -0*i - 15. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -o - 2*o. Suppose o*h - 15 = -h. Let x = 3 + h. What is the remainder when 10 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1694 - 25?\nAnswer: -24.8306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 381037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300354 to the power of 1\/2, to the nearest integer?\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39830 divided by 17088.\nAnswer: 19915\/8544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a factor of 29377453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 38*d. Suppose -s = -7 - 11. Let l(g) = 21*g - 38*g + s*g. What is l(n(k))?\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 2*n + 36 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 6) + 6943 + 4. Suppose -15*o + o = -h. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(60)*-2)\/sqrt(12) + sqrt(10)\/sqrt(32))**2 - (1 + sqrt(245) + sqrt(245) + -4)*-1.\nAnswer: 341\/16 + 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 13*d**2 + d**3 - 3 + 2*d**3 + 6*d**3.\nAnswer: 9*d**3 - 13*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 210 = 3*n, 5*f + 123*n + 264 = 122*n - 98 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50830 = -1313*a + 41080 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**4\/12 - 5*s**3\/2 - 891*s**2. Determine v(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 y, and 1 j when three letters picked without replacement from nynjnfyjje.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10201, -10204, -10207, -10210?\nAnswer: -10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r - 38. Determine w(5).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 43 = 431. Let p = -67 + n. Solve -t - 2*t = p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 30*p = 56. Which is smaller: 2\/6693 or p?\nAnswer: 2\/6693","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11704 by -482.\nAnswer: -5852\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 + 4866950*j + 1184360115125 = 0. What is j?\nAnswer: -486695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Suppose 4*c - 24 = 3*g, 0*c + 24 = a*c + 3*g. Let x = -11 - -22. Calculate the remainder when x is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 77*k - 695. Determine r(11).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 65286*o**2. Let h(b) = 2*b. Determine s(h(q)).\nAnswer: 261144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from {y: 1, n: 1, d: 1, f: 2, h: 1, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 + 124*i**4 + 1500*i**3 + 8900*i**2 + 26000*i + 30000.\nAnswer: 4*(i + 5)**3*(i + 6)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-306.\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 52*b**5\/9 + 132*b**4 - 19648*b**3\/3 + 375952*b**2\/9 - 6272*b = 0?\nAnswer: -49, 0, 2\/13, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 10 = 0. Suppose -m*f = f - 69. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -41. Let f(w) = -105*w + 710. Let b be f(6). What is the greatest common divisor of z and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -134\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = z, -21*q + 31 = -17*q + 5*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + ((sqrt(40) - (sqrt(40) - 1*sqrt(640)))\/(5*sqrt(16)\/sqrt(2)) + (sqrt(75)\/sqrt(3)*1)\/(-2*sqrt(245) + sqrt(5)))**2).\nAnswer: 1038\/845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -29545*q + 29532*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 305\/5 - 1. Let y = 175 + c. What is the remainder when y is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + (-5 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (63 - (25 - 9)) + (2 - 17)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*u + 900*u - 1786*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2808088*q**4 + 226916*q**2 + 5*q.\nAnswer: 67394112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let g be 6*(-7)\/(-42) - -186. Let x = 185 - g. Which is the closest to f? (a) -2\/21 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 95327*k + 571994. Determine w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 6. Let y be u(0). Let k be 10\/25 - y\/(-15). What is o in -12\/5*o**5 - 6\/5*o**3 - 21\/5*o**4 + 0 + k*o + 3\/5*o**2 = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4 + 3 - -1) + 2. Suppose p*y = y + 2149. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23066)\/380 + 61 + 3\/((-990)\/93)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -80.1. Let p = 100\/187 - 6\/17. Put 0, p, r in decreasing order.\nAnswer: p, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -1\/2 (c) 2\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/7)*r)\/r**13)\/((r\/(r\/(r\/(r*r**(-7)))*r))\/(r**(-1)*r)) assuming r is positive.\nAnswer: r**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 229771 (base 16) in base 8?\nAnswer: 10513561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (0 - 6)*(-2)\/(-4). Suppose -13 = -4*h + w, -2*h - d*h + 2*w + 20 = 0. Solve 5*y + 5*t = 0, 5*t - h*t + 6 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*m**3 + 5*h*m**2 + 14076*h*m + m**3 - 4866*m**2 - m wrt m.\nAnswer: 12*h*m + 10*h + 6*m - 9732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6649*-0.62.\nAnswer: -4122.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 527, 523, 517, 509, 499?\n\"Answer: -z**2 - z + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-2))\/((-44)\/2024). Does 12 divide (-6 - (-225)\/35)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 37\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11043041?\nAnswer: 1031, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 3*a**2 - 3*a + 1. Let q be i(-3). Let u be q*2 - (-12)\/6. Suppose -5*o + u = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5136899 milligrams to kilograms.\nAnswer: 0.0000005136899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 988072 > 988069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7012, -14036, -21074, -28132, -35216?\n\"Answer: -y**3 - y**2 - 7014*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let p = 193832812\/411 - 471613. Let b = -2\/137 + p. Is b at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -403159\/20 > -20158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 404?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.006599 hours to minutes.\nAnswer: 360.39594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c - 21*c + 8*c. Let r(w) = 2*w. Determine r(u(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044707083.\nAnswer: 7, 491, 303959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 1. Let q be g(-1). Suppose 0 = -3*j + 16 - 10. Solve j*m = q*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 19. Let l be r(-6). Which is the nearest to 0.04? (a) -4\/3 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*r**2 - 167 + r**4 + 31*r**2 - 65*r**2 + r**4 wrt r?\nAnswer: 8*r**3 + 58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35030000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 + 8 = 0. Find the third derivative of 2*w**2 + 2*w**2 + 2*w**2 - 3*w**t - 7*w**2 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-298 - 152 + 17*c + 1128 - 205)*(0*c + 0*c - c**4).\nAnswer: -17*c**5 - 473*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*z - 203 + 67 = 0, 34 = f - 3*z. What is the remainder when 325 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*u - 26 = 2, -2*u - 6 = 0. Suppose -2*x + 5*f = -0 - 2, 2*x - 4*f - h = 0. Let i be (-5)\/(-15)*1 + 1024\/x. Round i to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1683504 and 71\/84.\nAnswer: 11784528","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -223479 divided by 9?\nAnswer: -24831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 52*x - 5*x**2 + 1548 - 1596.\nAnswer: -4*(x + 1)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62383216 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 177*g**3 - 256*g**3 + 132*g**3.\nAnswer: -301*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 21\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 10*w + 3. Let d be t(8). Let m = -9 - d. What is the remainder when 14 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 4*s**2 - 2*s + 6. Let y be i(4). Let k be y*(1 - 2 - 35). Let u be k\/26 + (-9 - -6). Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10322262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33344*z - 16676*z - 1 + 11*z**2 - 16670*z - 3*z**3 as u*z**2 + p*z + g + o*z**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2497498?\nAnswer: 2, 631, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37508432 - -19?\nAnswer: 37508451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653384333.\nAnswer: 7, 89, 439, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b - 6. Let s(t) = t - 1. Let w be (2 + -1)*(-8 + 7). Let j(d) = w*y(d) - 4*s(d). Differentiate j(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*22.9\nAnswer: -22.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 1744*j - 1 + 1.\nAnswer: 1754*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -41\/78870384?\nAnswer: 78870384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + (-27)\/(-6). What is the second derivative of a*j**4 - 3*j**3 - 28*j**4 + 3*j**3 + j wrt j?\nAnswer: -288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -962, 3390, 7742, 12094, 16446?\nAnswer: 20798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/8)\/(((-24)\/(-128))\/(-1)*-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1374*n**2 - 139*n**2 + 115*n**2 - 2 - 380*n**2 + 3.\nAnswer: -1778*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34687*-35.\nAnswer: 1214045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-30))\/(2\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83992239491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {o: 3, p: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 56?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.1 - -4.9. Let k = 79 - u. Let v = k + 34.979. Round v to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**3 - 2*d**2 + 1011*d + 1. Let m(g) = -28*g**3 + 3*g**2 - 2023*g - 3. Give -5*k(w) - 2*m(w).\nAnswer: w**3 + 4*w**2 - 1009*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = o - 5*o + 26, -5*w + 10 = 5*o. 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 remainder when 939 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -15*g**4 + 14*g**3 - 21*g**2 - 42*g - 12. Let u(d) = -7*d**3 + 5*d**2 - 5*d - 5. Determine -5*l(v) + 42*u(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -771\/3349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 770.9, 0.2615, 3?\nAnswer: 0.2615","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 28 = -c - v, 5*v = -3*c + 30. Suppose 1 = -4*d - 3. Let i be 3\/(-1) + (0 - d). What is the third biggest value in -0.2, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(-3)\/6 + -2. Suppose 3*x = 4*k - 6 + 1, 3*k - a*x - 4 = 0. Calculate the lowest common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 - 135099*x**3\/2 - 67549*x**2.\nAnswer: -x**2*(x + 1)*(x + 135098)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*f - 25 - 7 = 0, -2*f = -4*a + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*i - 5. Let z be (-1 - -4) + i - 4 - -14. Suppose z*h = 7*h + 462. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3*c + 0*c**2 - 1\/6*c**3 + 0 + 0*c**5 - 1\/15*c**6 + 0*c**4. Find the second derivative of l(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5895895965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12451270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64226 = -2505*o - 178608 + 32414 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16242 + -2582528\/159. Let l = 1\/53 - n. Which is the closest to 1? (a) 3\/7 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. Let z = -67 - -69. Sort z, 1, -2, w.\nAnswer: -2, 1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 5*x + 47. Let m(r) = -13*r**2. Determine d(m(u)).\nAnswer: -169*u**4 + 65*u**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 13*j. Let c be p(12). Let t = c + -7. What is the second derivative of -2*l**5 - 2*l**t + 3*l + l wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3 + (-6)\/(-243)*-111 and 62\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 6*s. Let r be w(6). Let c = 138.7 - 141.718. Let a = c + 0.018. What is the smallest value in -0.3, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 bigger than 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 3\/2 (c) 416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g - 5. Is g\/(-6)*(-2)\/3 - -126 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(11) + sqrt(44)) + sqrt(11) - sqrt(11)) + (sqrt(176)*-1 + sqrt(176) - sqrt(176)) + sqrt(176))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 435 = 5*v. Let l be ((-4)\/7)\/(v\/21). What is the closest to 9 in 5, l, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 49*b + 36. What is k(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7599, 60993, 206029, 488559, 954435, 1649509, 2619633, 3910659?\nAnswer: 5568439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*i + 12. Suppose i*t - 520 = -t. Let w be (-3)\/((-196)\/(-52) + -4). What is the highest common factor of w and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1917 and 4686?\nAnswer: 42174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 7 + 0*z + 2*z. Let b(s) = s**2 - 15*s - 48. Let w be b(18). List the prime factors of l(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/9)\/i))**(-6)\/(i**(-3\/7)*i\/i**25*i) assuming i is positive.\nAnswer: i**(212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {y: 4, h: 1, f: 1, l: 6, b: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 64323*m - 8554962. Give x(133).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3458*o - 4176. Determine d(3).\nAnswer: 6198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 352 + -2?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15717*r**2 + 16315*r**2 - 29806*r**2.\nAnswer: 2226*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 265.1073cm?\nAnswer: 2651073000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 + 5*j - 14. Let u be z(-4). Let w(g) = 10*g - 9. Let d(m) = 5*m - 7*m - 1 + 5*m - 2*m. Give u*d(s) + 2*w(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*(-780)\/468.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1484 * 92.\nAnswer: -136528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -2304?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 1, b: 3, y: 1, n: 1, m: 6}. What is prob of picking 3 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/9 (c) -6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*y + 15 - 15 as b + q*y and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43369432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170661 (base 8) in base 15?\nAnswer: -134ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -487 + 323. Suppose -m = -6*m - 5*r + 125, 5*m - r - 119 = 0. Let h = m - g. List the prime factors of h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 3381?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2 (b) -2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2460600 and -191\/51057450.\nAnswer: 204229800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2. Let s(o) = 9*o - 4. Let p(q) = -11*q + 5. Let x(z) = 4*p(z) + 5*s(z). Calculate a(x(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(4\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 25, 2.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/120 + x**5\/60 - x**4\/8 + x**3\/6 + 7*x**2 + 424. Let w = 2 - 0. Determine r(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/8, 0.069, 2\/3081, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -80.00000482. Round c to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 84 - 108 - 235*v + 366*v + 542*v.\nAnswer: 673*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1814*x - 1767*x - 1833 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.9 - -47. What is the fourth smallest value in -0.4, 4\/5, 6, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15397328521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635498 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-3)*(-1494)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2. Let o(r) = -9*r. Let k(g) = 5*g. Let q(l) = -2*l. Let j(h) = -3*k(h) - 10*q(h). Let x(c) = -5*j(c) - 3*o(c). Calculate p(x(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(456))\/sqrt(8) - (sqrt(57) + 5*(sqrt(57) + sqrt(57) + sqrt(912))))\/(sqrt(192) - 5*(sqrt(192) + sqrt(192) + sqrt(192)*-1 - sqrt(192))).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 1985 = 237. Let j = 207 + x. Solve -2*h - 4*o + 3 - 1 = 0, 0 = -j*h - 2*o + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose 4*o - 4*d = 28, -2*o + 3*o + 3*d = -w. Let v(k) = -3*k**2 + 5*k - 7 + 1 + 2*k**2. What is v(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113 and 105613642?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739103.\nAnswer: 739103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/6544435 and 1\/74606559?\nAnswer: 373032795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1. Let k(i) = i**3 + 6*i**2 + 3*i - 3. Let l be k(-4). Let n be l*-3*(-1)\/(-3). Let f = -14 - n. Determine d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:52 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 - 81*n**2 - 90*n + 168 = 0 for n.\nAnswer: -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32555 less than 32537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6917, -6915, -6913, -6911, -6909?\n\"Answer: 2*p - 6919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -8. Let q = w + -4. Let j = -1483 + 1481. Sort 2, q, 1\/3, j in increasing order.\nAnswer: q, j, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237979, 951847, 2141613, 3807277, 5948839, 8566299?\nAnswer: 11659657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -8596966?\nAnswer: -163342354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70460939 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t**2 - 89*t - 152. Let z(r) = -3*r**2 + 22*r + 38. Let b(a) = 2*j(a) + 9*z(a). Let q be b(-18). Solve 14*l - 15*l + q = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474223 is divided by 158058.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -569.279389 to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0913 + 1973\nAnswer: 1973.0913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.932.\nAnswer: 0.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(sqrt(475) + 0) - sqrt(475)*2*1) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -34297297 and -102891890\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*j - 34 + 34)*(-j + 0*j + 8*j) + j**2 - 2*j - 5*j**2 + 3*j**2.\nAnswer: 181*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3700374 (base 8) to base 4.\nAnswer: -3320003330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooovoooovovvoooov. What is prob of sequence oooo?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 135315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644474.8 months in millennia?\nAnswer: 220.3729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/6 - q. Suppose -10 = -4*c + 2*m, 0 = c - 4*c + 5*m + 11. Let u(k) = k**2 - 2*k**c - k**2. Give o(u(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2114 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 182 - 948 = 0. Let q = -1351\/6 - u. Suppose -7\/6*w**4 - 1\/3 + 3\/2*w**2 - q*w + 5\/6*w**3 = 0. What is w?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665018851 plus -15?\nAnswer: -3665018866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -41, -2\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -27 - 1829. Let u be (4\/28 - j\/28) + 238. Calculate the highest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(192).\nAnswer: 4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3216 + 283. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -541, -547, -567, -607, -673?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + j - 4. Suppose -3*i - 5*m + 19 = 0, 25 = -4*i - i + 3*m. Let d be q(i). List the prime factors of 5\/(10\/(-4))*(-273)\/d.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 24.1. Let m = -7 + 8. Which is the closest to t? (a) -2 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 6 = 3*u. Let o = u + 22. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -248976067\/8 and -31122007 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 854280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from llxrb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 15*j - 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 591 - 1186 + 5*v**2 - 5*v - 14*v**2 + 605. Give w(6).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10950035237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -10, -4, -12, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 36, 49, 66?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 + g - 3. Let a be u(5). Suppose 12 + a = f. Let s(b) = 21*b**2 - 16*b**2 - f*b**2. Let m(l) = -l**2. Calculate s(m(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2394641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.257685 plus -6615656?\nAnswer: -6615655.742315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5+-3610324988\nAnswer: -3610324983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11876109, 23752155, 35628201, 47504247?\n\"Answer: 11876046*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 301*a - 16. Is x(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 - 5*x + 3. Determine v(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 18*d**2 - 2*d + 18.\nAnswer: 2*(d - 9)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056427850?\nAnswer: 2, 5, 7, 53, 164767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6*i - 15. What is the common denominator of 83\/6 and 29\/4*i*3\/(-18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12755521, 25511033, 38266533, 51022015, 63777473, 76532901, 89288293?\nAnswer: 102043643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -774. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 3227960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eed when three letters picked without replacement from {e: 5, d: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350700277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -0.3. Let w be (-11)\/561 - (-42)\/119. What is the closest to w in k, 11, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11.2. Let t = 14 + -14.45. Let f = -0.05 - t. What is the nearest to v in f, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 349722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 76*i - 5 + 68*i to the form r*i + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/45 and 25\/553599.\nAnswer: 2767995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -82, 696, 1778, 3266, 5262, 7868?\nAnswer: 11186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 11) to base 6.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*j - 105, 46 = j - 2*g - 3*g. Let z = 18 + -1. Suppose -5*y + j = -3*d, -4*y = d - z - 1. Solve -1 = 4*n + y*b - 8, 2*n = -2*b + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j - 35 = 0. Let q be (1\/3)\/(j\/(-84)). Let i(z) = 4*z + 580 - z - 290 - 296. Calculate i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/243)\/((-2)\/12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20570 - -29?\nAnswer: -20541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3\/8*k**2 - 4*k + 0*k**4 - 3\/160*k**5 + 0 + 3\/16*k**3. Factor m(q).\nAnswer: -3*(q - 2)*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106? (a) 3 (b) 5\/4 (c) 2 (d) 0 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 68, 68, 58, 32, -16?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23468 - 0.19468. Let k = 5.3 + -5. Let w = k - 0.2. What is the second smallest value in j, w, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 156*h + 1 + 162*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 32 = -43*z + 47*z, -6*n = -2*z - 74 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*b = -17, -4*d - 3*b + 19 = -3*d. Let a be d\/16 + 10\/(-8). Calculate the remainder when 23 is divided by ((-8)\/(-12))\/(a\/(-18)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-32 - -3)) + (716 - 699).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, 0, 0.3, -0.27, -2\/9.\nAnswer: -3, -0.27, -2\/9, 0, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2106222 by 1.\nAnswer: -2106222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1007456 and 35720?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-4)*1480\/222.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(294) + sqrt(294) + sqrt(294) + sqrt(294)*2 - sqrt(294)))\/(sqrt(72)\/sqrt(9)) + -5*(sqrt(15)\/sqrt(80) - -5*(sqrt(3) + 1))**2.\nAnswer: -8615\/16 - 276*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, z: 9, e: 2}. Give prob of sequence zk.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -52. Suppose -2*w - 3*w + f = 0. Suppose -15 = -w*y, -3*j + 87 = y - 5*y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26960 < 26917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + -32201344?\nAnswer: -32201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Suppose 0 = -4*m + 1 + 19, -l*m - 10 = -w. Solve 3*y + y = -w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -130, -0.1, 2\/9, -0.5, 36.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -76, -6, 0.4, -1\/65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**3 + 16*i**2 - 6*i + 8. Let y(x) = -2*x**3 - x. Let u(r) = -n(r) + 4*y(r). Give u(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 10*k**2 + 10. Let b = 9 - -11. Suppose -w = w + b. Let v be j(w). What is the highest common divisor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*j + 20 = -8*j, 16 = 3*u + j. Find the second derivative of 13*l + 11*l + 13*l**u - 3*l wrt l.\nAnswer: 260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 3*u**2 + 2*u**2)*(-8*u + 8*u + 9*u).\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10752843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146028 and 212?\nAnswer: 7739484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by 41.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -13*d + 9*d. Suppose -2*j + o + 391 = j, d*j = -5*o + 645. Suppose j = -4*k + 450. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 3 + -3.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from kpqgg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -13 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4\/3 (b) -1\/3 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 202903 divided by 613\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzvxvxvvvvxvvvxxvvxv. Give prob of sequence vv.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c - 3*h + 264 = -47*c, -2*c + 102 = 3*h. Let d(s) = 67*s**2 - 3*s. Let b be d(3). Calculate the highest common factor of c and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348 + -272. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from {w: 2, s: 4, a: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28741 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29.3164um?\nAnswer: 0.0000000293164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12648095 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**(4\/5))**(-5) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, 1 z, and 1 u when four letters picked without replacement from {o: 3, d: 4, u: 2, z: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2720)\/(-90) + 4\/(-18). Let t = 49 - j. Solve -3*i - 5*u = t, i = 5*u - 12 + 39 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -2148040554.\nAnswer: -2148040562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + r = -2*r - 35, -5*k - r = -62. Suppose -4*a - 7 = 13, k = h + 5*a. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*w + 534*q**2*x**3 - 12*w*x**3 wrt w.\nAnswer: 2*q**2 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(0 + sqrt(99) + sqrt(99) + -1 - sqrt(99)))**2 - ((-2*sqrt(77)*2 + sqrt(77))\/(sqrt(42)\/sqrt(150)))**2.\nAnswer: -216*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (502 - 330 + 666 + 328 + 275)*(0 + x + 0) - 21 + 21 + x to h + w*x and give w.\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.5437 millilitres to litres.\nAnswer: 0.7885437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 22*j**2 - j + 24. Calculate q(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3455, -2599, -1745, -893, -43, 805?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10572, -10606, -10650, -10710, -10792?\n\"Answer: -m**3 + m**2 - 30*m - 10542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -266?\nAnswer: 60\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**5\/160 + 21*g**4\/32 + 441*g**3\/16 + 31*g**2 - 3. Let p(v) be the second derivative of o(v). Find k, given that p(k) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 79*i**2 - 186*i - 1791. Calculate w(-81).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:26 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/(-48)*255\/(-3740)*-132?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86235082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -443765, 4\/7, -1, 7 in descending order.\nAnswer: 7, 4\/7, -1, -443765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39337 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 10. Let h be u(-6). Suppose 2*k - 5*v = -k + 44, -4*v - 24 = -k. Let o = k + -2. Solve 0 = -h*l + o*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 10*j = 14. Suppose -2*q + j = 1. What is the least common multiple of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145545405 or 145545408?\nAnswer: 145545408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605) + 3 + 2 + sqrt(605) + sqrt(605))**2.\nAnswer: 990*sqrt(5) + 16410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -724642 bigger than -724642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3972 and 126442?\nAnswer: 758652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -4\/3*a**3 + 3\/2*a**6 + 0*a + 0*a**5 + 0*a**2 - 8 + 0*a**4. Find the third derivative of g(t) wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 740150 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3620?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/54*(2 + 7\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Let r(w) = w**2 + 17. Suppose -2*l + 3*s = -14, -221*s = -3*l - 220*s + 14. What is l*o(n) - r(n)?\nAnswer: 3*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -60*m + 3. Let s be y(-1). Let n = -2 - -5. Suppose -2*h + 3*h + 2*l = 15, -n*h = 5*l - 41. What is the greatest common factor of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/12*(12 - 0). Suppose 16 = -v*u, u - 5 = -2*o - o. Find the second derivative of 0*b + 0*b**3 + 3*b + b**o + 0*b wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 311716708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 10*h + 3. Let j be g(10). Which is smaller: -3\/5 or j?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*i = -3*r + 217, -i + 91 = 47 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))\/(i*((i\/i**9)\/i)\/i))**2 assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/14 + (-9)\/21. What is the second derivative of -2*h - 3*h**3 + v*h**3 - h**3 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-33)\/(-2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(95) + sqrt(95) + -2*sqrt(95)))\/((sqrt(5) + sqrt(5) + sqrt(20) + sqrt(5))*5) + -4*(sqrt(228)*-1*2 - sqrt(228))\/sqrt(12))*-4.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12338*m + 61696. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 3. Let c(f) = -f + 1. Suppose 4*k + 71 = l, 4*k - 7 - 324 = -5*l. Let q = 17 - 87. Let i = l + q. What is i*c(t) + r(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71142750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 136, 197, 256, 313?\n\"Answer: -g**2 + 64*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186949127 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 0*r + 2*r + r + 1 - r - r**2. Let g be j(-1). Let h = -3 - 1. Put h, 2, g in descending order.\nAnswer: 2, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2352) - 4*(sqrt(48) + sqrt(48) + 1))**2.\nAnswer: 32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 37382.\nAnswer: 299056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from qqkkqqkkqkkqkkkkqqqq?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -111121212102?\nAnswer: 111121212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 5)\/(1 + 56\/(-36)). Let k = 0.281 - 0.481. Which is the second biggest value? (a) -2\/5 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-2)*((-6064)\/(-24))\/1.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 576 or 575?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*n - 7 - 903*n + 306*n + 291*n to k + f*n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 + 11*u**3 - 8 + 0 + 0 wrt u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by 142.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -431789.3 and -1747.\nAnswer: -433536.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, -3268, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 - s**5\/15 - s**4\/4 + 3*s**3\/2 - 9*s**2. What is the remainder when t(6) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/(12\/(-66)*26\/(-52))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -226*r**2 - 3 + 8*r - 6*r + 227*r**2. Give n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1685*a**3*p - 744*a*p**3 - p**3 - 34*p**2 - 3*p + 1 with respect to a.\nAnswer: -5055*a**2*p - 744*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 6593 and 26373\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3029?\nAnswer: 5\/3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**2. Let n be 5 + 4\/(3 - 1). Let g(p) = -n*p + 5*p + 0*p. Give z(g(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**5 + 36*n**4 - 8*n**2 - 61756*n.\nAnswer: -200*n**3 + 432*n**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16461699607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -143 in increasing order.\nAnswer: -143, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 13.1, 7\/4, 6\/673 in increasing order.\nAnswer: -4\/5, 6\/673, 7\/4, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**8\/784 - j**7\/245 + j**5\/70 + j**4\/56 + 191*j**2. Factor y(s).\nAnswer: -3*s*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17290 (base 13) to base 6\nAnswer: -541311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d - 8 = 0. Suppose 2*j = d*j - 20. Let s(v) = -v + 7. Let g be s(j). Put -5, g, 2 in decreasing order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -37, -30?\n\"Answer: 7*p - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 6*q + 4. Let w be g(-6). Suppose 5*n + z - 74 = 0, -60 = -0*n - w*n - z. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95109*o**4 + o**3 + 42*o**2 - 21386727*o wrt o?\nAnswer: 1141308*o**2 + 6*o + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/3)\/(-3 + 50\/15). Suppose 5*v = 2*y + 2*y - 28, n*v = 3*y - 26. Solve c + 3 = y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -l - 0*j, 0 = 2*j + 10. Solve -2*z - 5*f + 14 = l, 3*z - f = 2*f - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377742712.\nAnswer: 2, 257, 269, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-23)\/(i**(2\/9))**(-7\/3) assuming i is positive.\nAnswer: i**(-565\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 312303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d**3 + 542 - 542 + (4 + 3 - 5)*(2*d**3 - d**3 + d**3) + 3*d**2 - 3*d**2 + d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*sqrt(132))\/((sqrt(108)*3 - sqrt(108)) + sqrt(108) + sqrt(12) - sqrt(12)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 27\/9 + -6 + (-1 - -20) + -4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 + 4 = 0. Suppose 0 = 4*s + 2 + 6. Let o = s - v. Let y(c) = -c**2 - c + 2. What is y(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/40 + i**4\/8 + 2*i**3\/3 - 2*i**2. Let v(a) = 7*a**3 + a**2 - 6*a - 9. Let b(w) = 9*l(w) + 4*v(w). Solve b(m) = 0 for m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105378 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36083 by -7556.\nAnswer: -36083\/7556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2435 - 1228. Which is greater: 1206 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, w: 13}. What is prob of picking 2 y?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535 + 4*c + 0*c - 2*c + 535.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1. Let d(z) be the first derivative of z**2\/2 + 4*z + 26. Let h(y) = 6*b(y) - 2*d(y). Calculate h(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129792*j**2 + 1272665*j**2 - 76731*j**2.\nAnswer: 1325726*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 974*k + 795*k - 789*k. Let t(n) = 2*n**2. Determine m(t(u)).\nAnswer: 1960*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171740 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1798.833 times 0.2\nAnswer: -359.7666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 18.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 0*p + 21*p**2 + 2*p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 5*m + 2. Let j be w(3). Suppose -j = 3*g - 2. Which is the third smallest value? (a) 0.3 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - -3.21. Let q = -0.44 - -4.44. Let b = q - j. What is the second smallest value in 2\/9, b, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16889364500 to the nearest 1000000.\nAnswer: 16889000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 15. Let t(b) = b**3 - 4*b**2 - 2*b - 4. Let q be t(5). Suppose 21 = 3*s - 4*v, 4*v + q - n = -s. Calculate the remainder when 7 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2981757843 to the nearest integer?\nAnswer: 54605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -21.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*i - 3480114 - i**2 + 3480114 - 887*i.\nAnswer: -i**2 - 1746*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 86.7, -4, 5\/3, 0.3 in ascending order.\nAnswer: -4, 0.3, 5\/3, 4, 86.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-812))\/(68\/272)*7*1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 11. What is the second biggest value in -5\/13, 3, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*l + 3*w + 182793, 3*l - 27176 = 2*w - 1069. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3\/4 - 107688835*u**2\/4 + 579844313027275*u\/4 - 579844205338445\/4 = 0. What is u?\nAnswer: 1, 10768883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33041 * -1342.\nAnswer: -44341022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342.8 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - r + 25 + r**3 - 16*r**2 - 11*r. What is the units digit of d(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2038550 and -13\/275?\nAnswer: 22424050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 33336422?\nAnswer: 133345688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j**2 + 5*j**2 - 4*j**2)*(3*j - 2*j - 4*j) - 1238*j + 68*j**3 + 1238*j)*(4*j - 4*j + 14*j**2).\nAnswer: 1036*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421505 (base 7) in base 15?\nAnswer: 105a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 185*c**3 - 28*c**2 + 18*c - 14. Let s(x) = -2*x**2 - 3*x - 2. Let a(f) = n(f) + 6*s(f). Find the third derivative of a(p) wrt p.\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9689738?\nAnswer: 2, 101, 47969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 24\/10*(3 + 2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008711 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrrr when four letters picked without replacement from {v: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 5*w**2 + 5*w**2 + (-1254 + 170*w + 1254)*(2*w - 3 + 3) - 2 + 2 - 2*w**2.\nAnswer: 336*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:02 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18940*g**3 - 26066*g**3 - 16980*g**3 - 28682*g**3.\nAnswer: -90668*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**2 - 20*g**3 + 21*g**2 + 0 - 2*g + 17*g**3 + 2 - 8*g**2 - 77*g**4 to the form q*g**3 + a*g**4 + m*g + t*g**2 + y and give a.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:09 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 0*r**2 - 3*r**2 + 8*r**2 + 3*r**2 - 4*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-4)\/20*-35 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208335.\nAnswer: 3, 5, 17, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 4. Let y be ((-6)\/(-12))\/((7\/(-4))\/g). Suppose 0 = 3*b + y*w - 3813, 2714 = 2*b - w + 172. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*h - j + 6, h + 3*j = -2. Sort h, 0, 3 in descending order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 828741 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - 57. Let l = u - -155. Which is the nearest to 0? (a) -1 (b) l (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 3*v**2 - 4*v - 7. Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6836925 - 6836925 - v. Let l(t) = 10*t + 1. Calculate -l(x) - 6*q(x).\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 70535778096?\nAnswer: 70535778096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypy when four letters picked without replacement from {y: 9, p: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 0*f + 6 - 17\/3*f**3 + 0*f**2. Let b(s) = -2*s. Give q(b(m)).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1735 - 1708.99. Let x = -0.01 + t. Let o = x - 26.0000034. 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: b\"What is the uth term of -576, -2355, -5326, -9495, -14868?\n\"Answer: -u**3 - 590*u**2 - 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -2*sqrt(104))*3 - sqrt(104) - sqrt(104))\/(sqrt(72)*-6) - ((sqrt(78)*-3)\/sqrt(6) - sqrt(832)*6)**2.\nAnswer: -33813 - 7*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (sqrt(80) - 3*sqrt(80)*-1)) + sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*-1))*6)\/(sqrt(44)\/(3*sqrt(275))))**2.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s + 3*s)*(-s - 2*s + 2*s) + (3*s - 5*s + 0*s)*(-s**2 - 6*s**2 - 9*s**2) - s**3 + 0*s**3 + 0*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m**2 + 4*m + 3. Suppose 46*u = 55*u - 2376. Let z = 258 - u. Let j(p) = 9*p**2 - 5*p - 3. Determine z*v(n) - 5*j(n).\nAnswer: 3*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaabba. What is prob of sequence ab?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.625 - 995.\nAnswer: -992.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 286*v**2 - 220*v**2 - v + 0 + 2 to the form a*v**2 + o*v + z*v**3 + y*v**4 + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 1434*y**2 + 11619*y - 21870.\nAnswer: -3*(y - 5)*(y - 3)*(y + 486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 3 + 0*o**5 + 21*o**2 + 1\/96*o**6 + 0*o**3 - 15\/32*o**4 + 0*o. Factor j(v).\nAnswer: 5*v*(v - 3)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -381. Let f be (-8)\/(m\/15) + (-3)\/(-4). Which is the closest to 1? (a) 4\/7 (b) 1\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -91, -143, -195, -247, -299?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(216) + sqrt(24) + sqrt(72)\/sqrt(108))\/((sqrt(8) + -2*sqrt(8))*-4 - 3*(sqrt(8) - sqrt(24)\/sqrt(3))).\nAnswer: -101*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) 7237 (c) 6\/7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212615 and 2275.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/5)*l)\/l*l)**(-2\/19)\/(l**(-1\/2)*l\/(l\/(l*l\/l**(-3\/4)))))\/((l**(1\/6)\/(l*l**(2\/23)\/l*l))\/(l*l**(-1)\/l)**(-1\/3)) assuming l is positive.\nAnswer: l**(-32749\/26220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2120?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**4 + 5*m**2 + 1. Let j(h) = -238*h**4 - 8*h**3 + 30*h**2 - 137. Let k(i) = -j(i) + 3*o(i). Find the third derivative of k(x) wrt x.\nAnswer: 6288*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3215, -7177, -11139, -15101, -19063, -23025?\n\"Answer: -3962*p + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-2)\/4). Let d(m) = t + 5*m - m**2 - 5*m + 14*m**3 - 3*m**3. Determine d(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026 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 v(q) = -5 + 1042*q - 350*q - 349*q - 353*q. Determine v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030480004 to 7 dps.\nAnswer: 0.0000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320271 by 19.\nAnswer: -320271\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/((150\/(-40))\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 0.14. Let i = 0.7 - 2.7. What is the closest to 1 in h, -0.3, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*x + 415, -2*d - x = -d - 75. Let l = d + -71. What is the remainder when 42 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrmkkm. What is prob of sequence kkrk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-3)\/((sqrt(121) - (sqrt(121) + 1*sqrt(121)))\/sqrt(11))*5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 110272092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvvvvyvvvvyvvvvvyy. What is prob of sequence yvv?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246309 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**4 + b**2 + 0*b**2 + 6*b**4 - 3*b - 2 to the form d + u*b + s*b**2 + h*b**4 + w*b**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -36, -77, -134, -207, -296?\n\"Answer: -8*w**2 - w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, 5*i - 3*v - 36 = i. Find the first derivative of i - 7 + 2*t - 3*t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 7 = -s, 2*n - 263 + 244 = -5*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234746 (base 10) to base 16.\nAnswer: 394fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 253061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -117. Solve 0 = -4*m - l, -2*l + d = m + l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/6*580\/319\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Suppose 3*g - 12 = d - t*g, d + 3*g = 12. Solve -d*o + 0 = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d = 11*d + 21*d - 140 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 300 and 0.3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 74*v - 48. Let z be w(-35). What is the greatest common factor of 1196 and z?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 47152c3?\nAnswer: 47152c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020100011 (base 3) in base 10?\nAnswer: -24304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 3*k**2\/2 - 10*k + 5. Let n be 14\/(1*-2)*-1. What are the prime factors of j(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*1 + 0)*-1*6)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14396*n + 14401*n + 14396*n + 14399*n - 71996*n + 14406*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -822 and -5?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 - 147*i**3 + 1129*i**2 - 2373*i + 1390 = 0. What is i?\nAnswer: 1, 2, 5, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 44 = -28*n + 19*n, -5*h - 20 = 5*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 8*k. Let y be g(-8). Suppose -2*u + 8 = 5*r, y = -0*r - r. Suppose l = u*l - 33. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 379 + -367. What is the remainder when 19 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - -5)\/(2 - 0). List the prime factors of (-156)\/n*4\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**9\/7560 - a**7\/1260 - a**4\/6 + 2*a. Let x(l) be the third derivative of m(l). Factor x(y).\nAnswer: 2*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 239, 959, 2159, 3839, 5999, 8639?\n\"Answer: 240*h**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46080 = -2*z - 167*b + 163*b, 4*b - 92160 = -4*z. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*v = -25565, 2688*a = 2683*a - v + 31920. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - -0.25. Let t = u - 0.57. Which is the third biggest value? (a) 3 (b) t (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9940 + 715691\/72. Find the common denominator of -29\/45 and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4480)\/(-26880))\/((-20)\/(6\/3)*(-1)\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -19*m**3 - 14*m**2 - 3*m + 22. Let r(q) = 7*q**3 + 5*q**2 + q - 8. Let n(f) = 4*c(f) + 11*r(f). Give n(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgp. Give prob of picking 1 g and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i**3 + 2*i**2 - 2*i + 1. Let l be r(1). Let h be 3\/(-2) + (-1)\/(-2). Let p be (2 + h)\/(3\/3). What is the greatest common divisor of p and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534651829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - -12 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21513972 divided by -202962?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 204*h**2 + 143804*h\/5 + 118320.\nAnswer: (h - 850)*(h - 174)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60607 (base 8) to base 9.\nAnswer: -37221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:36 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-4) + 9*1. Suppose n*u = 3*u + 129. Let b = 19 - 4. Calculate the remainder when u is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1700 = -0*l. Suppose -909 + l = -v. Let i = -396 + v. List the prime factors of i.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 smaller than 166059\/428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*t - 17, 495*x - 243*x + 5 = 251*x - 2*t for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -60. Suppose 0 = 2*x + 2*i - 16, -c*x - 4*i + 6*i = -40. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9361 divided by 3\nAnswer: 9361\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*q - 136 = 540*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3\/(-12)*(-3 - 0). Suppose 0 = 3*j + 4*q + 27, 4*q = -5*j - 5 - 32. Let b = -2 - j. Which is bigger: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4662051 is divided by 1165298?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713864.\nAnswer: 2, 17, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 261*n**2 - 124*n**2 - 128*n**2. Let y(c) = 2*c. Determine z(y(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 2*f - 3. Let m be g(-2). Let r be m*(2 - 32\/14). Suppose -r*o = -0 - 12. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1059*-8016.\nAnswer: -8488944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 2*k)*(6*k + 5*k - 6*k)*((-3 + 2 + 2)*(-1 + 1 + 1) - 8 + 2 + 2 - 2 - 6 + 4).\nAnswer: 35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Let f = j - -2.0122. Round f to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 + 495*z + 2167. Give o(-66).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1308 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 122?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 53*m = 3381. Suppose -4*b = -i - m, -4*i + 12 + 8 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6286 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10069 + 2540 = 785*v - 7016 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 38. Find the second derivative of 3*z**s - 15*z**2 + 3*z**2 - 4*z + 2*z wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a + 2. Let l(d) = d - 3. Suppose -3*w - w - 4 = -5*p, 2*p = 4*w + 4. Let q be l(p). Determine b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 5, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54332 - 2.\nAnswer: -54334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyjy when four letters picked without replacement from jyjjjyjjjjyjjj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*y + 31. Suppose 57 = 3*o - y. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280905289*c + 558634633 wrt c?\nAnswer: -280905289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 2*u**5\/15 + 7*u**3\/3 - 10*u**2. What is the derivative of a(h) wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*1244\/(-2). Suppose 2*m - 179 = -5*f, v = 2*m + m - f. Calculate the remainder when m is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6398)\/123 + 39\/(-110331)*-46?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1061, 4207, 9413, 16673, 25981?\n\"Answer: -v**3 + 1036*v**2 + 45*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*k + 420 = -1213*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 2\/47, 4, 6, -2, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -24. Let d(b) = 0*b + 3*b**3 - b**2 - 4*b**2 - 6*b + o - 2*b**3. Suppose 5*f + 2 = 32. Calculate d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 3*y = 23*h - 2, y = h. Solve 3*j + 5*p - h = 0, 3*p = -2*j - 5 + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 + 3*v - v + 0*v + 2*v**2. Let w be b(-2). Solve -3*z = -5*s - 6 + 1, 4*s + w*z - 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.32 (c) -129 (d) -223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 20*u + 334, -19 = 5*q + 30*u - 32*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/97451 and -65\/430836?\nAnswer: 8185884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 b, and 1 c when four letters picked without replacement from bbzbbzzbbzybbcm?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 2. Suppose -4*u + 27 - 23 = 0. What is the lowest common multiple of u and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -76*h**2 + 4*h + 7. Let n(d) = 5*d - 3. Let y be n(4). Let s(i) = 228*i**2 - 11*i - 20. Let f(z) = y*k(z) + 6*s(z). Is f(1) 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 8 and 843752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1075 (base 8) to base 3\nAnswer: 210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahhhaaahaahaa. What is prob of sequence hha?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -26. Let d be (4 + (1 - 2))\/1 + -105. Let g = d + 165. What is the highest common factor of a and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (13 - 28 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-100)*-5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 3*z + 3. Is t(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 82*m**2 - m - 1. Suppose 1 = -4*w + 3*w. Let p be d(w). Suppose p = -7*o + 614. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r + 3*r)*(-3*r**3 + 0*r**3 - 2*r**3 - 2*r**3 + 0*r**3 + 3*r**3 + (-3*r + 3*r - r)*(2*r - 2*r - 2*r**2)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.702+-7.68\nAnswer: -11.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.8 (b) -20\/11 (c) 1 (d) -0.5 (e) 1\/7 (f) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000264646 to 7 decimal places.\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 4. Let n be r(8). Suppose 0 = d - n + 18. Suppose -3 = v - 20. Calculate the highest common divisor of d and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus -1413208.295?\nAnswer: 1413206.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21672903.00031 + 21672771. Let g = h + 132. Round g to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 u when four letters picked without replacement from {z: 17, u: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 865. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 18 = -5*m. Let x = 5153.4 + -5153. Put m, -1, x in descending order.\nAnswer: x, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11*w = -7*w + 4, -3*p - 5*w + 35 = 0. Let v = 4 + 0. Suppose v*z - u = p, -2*z - 4*u = u + 3. What is the least common multiple of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -594 - 0.1\nAnswer: -594.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.016, 0.46, -1, -34\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-7)*336\/36. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/5)\/(-3) - (-8)\/(-20). Let x(k) = 137*k + 13. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -688 and 318?\nAnswer: -218784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) -0.3 (b) -145 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244391612*g**6 - 240513199*g**2?\nAnswer: 29326993440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/5 + 1051023*x**2\/5 + 6306411*x\/5 - 11561451 = 0 for x.\nAnswer: -11, 5, 350347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -14\/3, 99.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -0.4, -0.06, 56758?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2451 - 2?\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.979 and 82?\nAnswer: 76.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/4)\/3 + (0 - 224). Let n = -127 - t. Let h = n - 30. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2657, 10516, 23599, 41894, 65389, 94072, 127931, 166954?\nAnswer: 211129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 12. Suppose -4*i + b = 2*s + 2, -s - 6 = -2*i. Put -5, s, 6 in decreasing order.\nAnswer: 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3604056 in ascending order.\nAnswer: -3604056, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9884 - 573*m - 9884.\nAnswer: -573*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8 = 5*x, 2*y = -3*x + 4 - 2. Let a be (-2)\/y + (-19980)\/140. Let z = -115 - a. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2520, -2511, -2502, -2493?\n\"Answer: 9*z - 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab75b + 3?\nAnswer: 1ab761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + 99\/21. Suppose 5*b + 2*y + 25 = -3*y, 3*b - i*y = -23. Let d(g) = g**2 + 6*g + 5. Let q(t) = -t - 1. Let p(o) = b*q(o) - d(o). Factor p(a).\nAnswer: -(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 54678 = 5*n - 5*b, -3*n + b = -164048. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 27091*r**2 - 62874*r**2 + 26668*r**2. Let f(h) = h. Give f(l(s)).\nAnswer: -9115*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a + 58. Suppose 4*s + 1105 - 1085 = 0. Determine k(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c2c1 + 12?\nAnswer: 3c303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-104)\/91*63\/(-414)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = -5*v, -2*x = v - 11. Let p be 9*(28\/12 + -2). Put p, v, -3 in descending order.\nAnswer: p, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6861186 years in decades?\nAnswer: 0.06861186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/26 + (-7214)\/(-1092). Let d = f - 37\/6. What is the second smallest value in 1, d, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 16*v + 15*v + 13, -v - 15 = r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1188, 1184, 1178, 1170, 1160, 1148, 1134?\n\"Answer: -k**2 - k + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*m + 3*m + 9, -2*m = 2*a + 8. Solve -3 = 2*n + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2702 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1711, 1614, 1453, 1228?\n\"Answer: -32*b**2 - b + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 40 + 2*v**2 - 3*v**2)*(0 + 1 - 3).\nAnswer: 2*v**2 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, -3*q + 9*g - 12*g = -1215. What is the greatest common divisor of 45 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.083314 (b) -2 (c) -3\/4 (d) 1 (e) -3 (f) -2\/31 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and 1\/367984?\nAnswer: 367984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 21*a**2 + 21*a + 75. Give i(8).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 2. Suppose -6*i + 20 = -4*p, -2*p - 54*i + 2 = -55*i. Factor 2\/9*n**p + 2\/9*n - 2\/9*n**3 - 2\/9*n**z + 0.\nAnswer: 2*n*(n - 1)**2*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 + d**5 + (-d**4 + 0*d**4 + 4*d**4)*(-d + 6*d - 3*d) + d**5 - d**4 + d**4.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*q = -0*q, 4*f + 5*q + 39 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2)\/2 - (-14 - (-1007)\/57)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let c(q) = -3*q - 10. Suppose 5*o + 62 = 52. Calculate o*r(f) + c(f).\nAnswer: -f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 731\/153 + 2\/9. Let k = 155 - 152. Solve -u + 9 = -r*d + k*u, -d - 2 = -u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230782 - 230782 + 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from lreyyeeegeeey?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4515793160468 and 94?\nAnswer: 4515793160374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 5 = -19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01777 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 285, 1139, 2561, 4551, 7109, 10235, 13929?\n\"Answer: 284*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, s: 1, q: 4, c: 2}. Give prob of sequence sc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(128) - (sqrt(128) + -2))*6 - sqrt(200)\/((sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(16)\/sqrt(4)))*-5))*5)**2*-1.\nAnswer: -28825\/2 - 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1669670, -1669669, -1669668, -1669667, -1669666?\nAnswer: -1669665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3744, 7123, 11040, 15495, 20488?\nAnswer: 26019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**7\/105 - t**6\/45 - t**3 + 8*t. Let o(b) be the second derivative of f(b). What is the third derivative of o(p) wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((4 - 10) + 1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -14*u**5 + 1648*u**4 + 16110*u**3 + 50360*u**2 + 55784*u + 12192 = 0.\nAnswer: -4, -3, -2, -2\/7, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*f**2*m - 2*f**2 - 281636*f*m**2 + f - 1303770 with respect to m.\nAnswer: 20*f**2 - 563272*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.8 * -0.5.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 7. Let i be j(-1). What is the smallest common multiple of (0 - 1)*(-3 + -2) and 4 - (i - 2) - -3?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002888 to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 2, o: 1, x: 4, g: 2, a: 2, p: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1828589+1806\nAnswer: -1826783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2\/13 (c) 12177 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -82420?\nAnswer: -93\/82420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 5*o**4 + 0*o**3 + 3*o**4 + 0*o**4 - 5*o**4 + (0*o - 3*o + o)*(4*o**2 - 2*o**3 - 4*o**2).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxh when four letters picked without replacement from {x: 2, k: 7, h: 7, s: 1, m: 3}?\nAnswer: 49\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:42 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71395 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 746758*g. Let q(w) = -2*w. Calculate i(q(f)).\nAnswer: -1493516*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-60) - 6\/60. Solve v = a - 13 + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1503*w - 163817. What is a(-109)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113272 is divided by 575?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-1 + 2)) + (-70 - -61) + -15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 58, 0.8 in descending order.\nAnswer: 58, 2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 3*o - 2*o)*(-13021 - 9785 + 2472 + 5443 - 8660) + o + o - o to x*o + h and give x.\nAnswer: -70652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 368 - 480. Suppose -13*b - 1604 - 1165 = 0. Let d = b + s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-16)*(((f**(-6)*f)\/f)\/f)**33 assuming f is positive.\nAnswer: f**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*o + 2*n**3 + 5696071*n**2*o + 2*n**2 + 3*n*o - 280949*n - 23*o wrt n.\nAnswer: -6*n*o + 12*n + 11392142*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = g - 1616. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(153)*-4*-1)\/((-4*sqrt(360)*-2)\/sqrt(10))*-3)**2.\nAnswer: 1377\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 7 + 3)*(-59 + 59 - 64*o**2).\nAnswer: -1664*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -64?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1744983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 5*z, 3*m - z + 5 = 12. Let r be (-165)\/(-234) + (-2)\/m. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3583, -15279, -34771, -62059, -97143?\n\"Answer: -3898*b**2 - 2*b + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -0. Let y be -1 + 3 - (-2 - 0). Let b be 9\/4 - 1\/y. Solve -4 - g = b*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923188373?\nAnswer: 923188373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14291 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 23285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 - 656*y**3 - 8452*y**2 + 656*y + 8448 = 0. What is y?\nAnswer: -12, -1, 1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(88) + sqrt(88) + sqrt(88) + 3*sqrt(88)*2))\/(sqrt(800) + sqrt(800) + (1*sqrt(800) - sqrt(800)) + sqrt(800) - sqrt(392)*1))**2.\nAnswer: 891\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001100 (base 2) to base 12.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-2*d**4 + 2*d**4 - 4*d**4 + (3*d**3 + 0*d**3 - 5*d**3)*(2*d - d - 2*d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(304)*1 + sqrt(304)) + 1*(-1 + sqrt(76) - sqrt(76)))**2.\nAnswer: -96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.3, -1, -3 in increasing order.\nAnswer: -3, -1.3, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14 - 2 + 1)*(4*n**5 + 36*n**3 - 36*n**3).\nAnswer: -72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88, -106, -124, -142, -160, -178?\n\"Answer: -18*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/((-6)\/(-3))*1. Let n be 103\/(-26) - (i + -15). Let v(j) = 2*j**2 - 7*j + 4. Let a be v(3). Is a at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9340, -37695, -85070, -151459, -236856, -341255, -464650, -607035?\n\"Answer: z**3 - 9516*z**2 + 186*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6670854 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7777114 - -5.377718. Let k = 3.4 - 6. Let u = a + k. What is u rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-267)\/(-150))\/((-24)\/(-30)) and 58\/165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/14, -20\/13, 0.2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22390063501*o - 324*o**2 - 22390063501*o.\nAnswer: -324*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681\/5 - -137. Sort x, -2\/7, -5, 2\/3 in increasing order.\nAnswer: -5, -2\/7, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 20*i + 17. Let f(p) = 5*p + 4. Let z be (15\/(-10))\/(6\/8). Let n(s) = z*q(s) + 9*f(s). Calculate n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 23 - 16 + 6*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 69674048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 67*n**2 + 1924*n - 3842. Determine k(2).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.204 greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*h - 2*h + 242, -168 = -2*g - 3*h. Suppose 3*q - 76 = -2*u, -23 = -4*q - u + 85. Let c = g - q. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1033804\/288 - 8\/36. Let v = k + -3585. Calculate the common denominator of v and 75\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 2*m**4 - 26*m**3 - 22*m + 54*m**2 - 16*m**2 + 4.\nAnswer: 2*(m - 2)*(m - 1)**2*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluuulblulbbfbii. Give prob of picking 1 b and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17686 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 19*u = -26*u + 44735879. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 38*w - 79. Let d = 12 + -52. Let h be t(d). Let r = -4.88 + -0.12. What is the biggest value in 0.3, r, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - h - 12420 = 2*h, c + 4140 = 2*h. Let n = c - 1023. Is (5 - 4)\/(1 + 5160\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 33, -21822 in descending order.\nAnswer: 33, -16, -21822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.0905 * 0.08.\nAnswer: -0.16724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {p: 1, e: 2, f: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Let p(o) = o - 2. Let c be p(2). Suppose -3*a = 4*d + n, 2*a + 2*d + 2 = -c*a. Let k(r) = -r**2 - r. Determine k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 5. Let r(s) = 9*s - 15. Let w(d) = 7*i(d) - 2*r(d). Let l(b) = 2*b - 3. Suppose 33*j + 1168 = -5531. Let z = 208 + j. Give z*l(f) - 3*w(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t + 0*t + 3*t)*(7*t**2 - 3*t**2 - 2*t**2) + t**3 - 2*t**3 + 2*t**3 + 2*t**3 - 2*t**2 + 2*t**2)*(-8 + 3 - 7)*(3 - 6 - 4).\nAnswer: 420*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d + 4. Let r be q(0). Suppose -y + 12 = r*p - 13, -3*p + 25 = 2*y. Suppose -z + y*z = 3*c - 26, z + 15 = 5*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**3 + 2*y**2 + 11*y - 18. Suppose 4*z + 222 = 10*z. What is the remainder when p(2) is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o + 1. Let p(c) = c**3 - c + 1. Determine 2*p(l) - 2*y(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 9}. Give prob of picking 4 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/4)))**(-1\/25))**(-12) assuming r is positive.\nAnswer: r**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 10, -0.1, -19, 2\/7, -9 in decreasing order.\nAnswer: 10, 2\/7, 1\/4, -0.1, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 482*8.6\nAnswer: 4145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399\/(4 - -4 - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/15 + (-344)\/(-84))\/(535\/749).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 2:34 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:42 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 20 (c) -39\/5 (d) -1\/13 (e) 1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32364 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807305 divided by 10?\nAnswer: -561461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, -6, -12178?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {c: 7, h: 1, w: 2, v: 1, g: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30\/17 or 2.7948?\nAnswer: 2.7948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.195 smaller than 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5252578044.\nAnswer: 2, 3, 7, 19, 1759, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, -1\/6, 4, -2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 - 299. Suppose 5*k = -q*k + 4355. List the prime factors of k.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + 56\/9. Suppose 16 = o*v - 2*v. Solve 6*j**2 + 7*j - j + 2*j**3 - 2 + v = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4629.299 + 4637. Round c to 1 decimal place.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c**3 + 2*c**3 + c**3 + (0*c**3 + c**3 + 3*c**3)*(-1 + 0 + 2) - 2 - 2*c**3 + 2.\nAnswer: 4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*k + 145*k + 4761*k + 380*k.\nAnswer: 5821*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 o when four letters picked without replacement from pppooppp.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -11, 0, 4, 0.1, -8.1, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(130)\/(-3*sqrt(90)) + sqrt(52)\/sqrt(144) + sqrt(13) + -5)**2.\nAnswer: -95*sqrt(13)\/9 + 14413\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -22. Suppose -3*v - p = -2*r, -4*r + r - 3*v = -51. Suppose r = h + h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 10:39 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*-1*sqrt(170))\/(sqrt(30)\/(sqrt(3)*-1)))**2.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Solve 0 = -z*t - 4*l + 32, -3*t + 5*l + 9 - 25 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.4 (b) 2\/9 (c) 1140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 1 - 46 = 0. Let i(a) = -a - 1. Let x(s) = -s**2 - 10*s - 2. Give d*x(h) - 3*i(h).\nAnswer: -h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/1512 - l**7\/945 - l**6\/270 + l**5\/135 + l**4\/108 - l**3\/27 + l**2. Factor m(f).\nAnswer: 2*(f - 1)**3*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0 + 0)*((-2*l**2 + 2 - 2)*(0 + 0 + 2) - 72 + 33*l**2 + 72).\nAnswer: -29*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = 5*d, -3*d + 2*t = -d + 24. Let o(q) = -q - 8. What is o(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28916443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8711633 litres?\nAnswer: 871.1633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d + 2. Let b be u(-3). Let f(y) = 1 - b*y + 10*y - 11*y. Calculate f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9*((-17)\/(-2) - -2). Let m be (u + -5 + -3)*-10. Suppose -c = -z, 0*c = z - 5*c. Solve -5*d = -z*d - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 5*v**2 + v**3 + (3*v - 5*v + 0*v)*(2*v**2 - v**2 - 4*v**2) - 2*v**3 + 5*v**3 - 4*v**3 + 3*v - 3*v - 2*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 3. Let p = 3.03 - x. Let q = -0.130031 + p. Round q to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9389 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*b - 14. Let c be 5\/2*(-2 - b). Let j = c + 1. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 450 - 12 = 0. Find the common denominator of 29\/3 and 26\/(-91) - y\/(-210).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 0.38. Let p = -0.97 + -218.03. Let r = p - -217. Sort -5, w, r in increasing order.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 5*f**2 + 4 - 9*f - 8. Let w be i(5). Let h = 154 - w. What is the smallest common multiple of h and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1784 >= -8807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 3) in base 6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -170*b**2 - 6*b + 3. Let n(j) = 169*j**2 + 4*j - 2. What is -2*k(v) - 3*n(v)?\nAnswer: -167*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 643309 and 10961.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {t: 3, d: 2, a: 2, v: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 + -1)*1\/(-4). Suppose -g*f + 31 = 21. Is (1 + 2325)\/(6*f\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 32*a**2 - 100*a + 72. Let p be m(28). What is the greatest common divisor of 1717 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305724?\nAnswer: 2, 3, 73, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2, 18571, 0, -0.69?\nAnswer: 18571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -22.6.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22225368*g**2*k**3 - 2*g*k**3 + 293337*g*k wrt g.\nAnswer: -44450736*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i - 2. Let k be w(5). Let r be (-14)\/(-8) + k\/12. Let m be (-1 - 0\/2)*r. Sort 2, 1, m.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 3.04?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12248883 - -3?\nAnswer: 12248886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f - 3. Suppose -2*z + 2*r + 1 = 7, 0 = -3*z - 2*r - 14. Let i(y) = 3*y + 2. Let j(p) = z*n(p) - 7*i(p). What is the derivative of j(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3698754968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5140*b**3*u + 1174*u - 3 wrt b.\nAnswer: 15420*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffccffffcffffffff. Give prob of sequence fff.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - (3*(sqrt(110) - (sqrt(110)*-3 + sqrt(110) + sqrt(110))) + sqrt(110) + sqrt(110))))\/sqrt(10) + 0.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -330143 - -754143. Suppose -2*x + x + n = 0. Round x to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, 9, -5, -2 in ascending order.\nAnswer: -14, -5, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1473 divided by -1473\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, -844, -3164, -6750, -11602, -17720, -25104?\nAnswer: -33754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {a: 3, q: 1, t: 1, w: 4, i: 4, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n + 4*c = -28, -5*n = 4*c - 36. Suppose -s + n = 2*s - p, 2*s - 5 = p. Let m(t) = -3 + 4*t - s*t + 3 - 4. Let w(d) = -2*d. What is m(w(o))?\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 6\/1) + -1. Let o(g) be the first derivative of -g**2\/2 - 7*g - 203. Give o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651 + -802. Let q = -151 - o. Solve 3*a - c - 10 = -q*a, -2 = -a + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -38. Let k(u) = -8. Let o(c) = 14*k(c) - 3*n(c). Let y(l) = -l**3 - 3. Calculate -3*o(z) - 2*y(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((1 + sqrt(304))*6 + sqrt(304)*1 + -5))**2.\nAnswer: 72576*sqrt(19) + 19306512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/5 - 4113*t**2\/5 + 40797*t\/5 + 44913\/5 = 0. What is t?\nAnswer: -1, 11, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 9 - 15)*(2*h - h + 0*h)*(-9 + 2 + 0).\nAnswer: -140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -26002?\nAnswer: -26004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 108007518*o - 108007515.\nAnswer: -3*(o + 1)*(o + 36002505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*w - 148 + 860, -2*h + 3*w = 466. Let r = h + 278. Calculate the greatest common divisor of 154 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let f be d(3). Find the second derivative of 2*s + s + 2*s + 2*s**3 + f*s**3 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(1701))\/sqrt(3) - (sqrt(343))**2*-3.\nAnswer: 10*sqrt(7) + 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -0.04. Which is the smallest value? (a) r (b) -2\/9 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1441 + -1436. What is the closest to -1\/6 in 1, y, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9309.8 * -4.\nAnswer: 37239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 10) to base 11.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481\/285 + 2\/95. Let b = 34\/15 + s. Let i = 1.2 + -0.8. What is the closest to 1\/4 in 2\/13, i, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 - 54 = 11*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 110076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177093829.\nAnswer: 11, 53, 179, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3473*m**3 - m**2 + 64*m - 2929. Let r(p) = -3473*p**3 - p**2 + 80*p - 2931. Let c(b) = -5*j(b) + 4*r(b). What is the first derivative of c(o) wrt o?\nAnswer: 10419*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 554, 827, 1098, 1367, 1634?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 34. Let r be v(-8). Calculate the smallest common multiple of 36 and 20*(2\/r - (0 + -3)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 25, 877, -0.194?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427693 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200121221 + -2?\nAnswer: -10200122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65769786653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/420 + w**4\/28 + 8*w**3\/21 + 2*w**2 + 5. Factor u(c).\nAnswer: -(c - 8)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 - 6*b - 5. Let l be q(-3). Let x(f) = -f**3 - 2*f**2 + 13*f + 5. Let y be x(l). Solve -4*p = -p + y, 0 = -2*i - 4*p - 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*k**2*q - a**2*k**2 + 2629*a**2*k*q - 1334*a*k + 2*k**2 wrt q?\nAnswer: 2*a**2*k**2 + 2629*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 48 = 8*z. Suppose 5*v = -2*t - t + 25, -v = -5. Let o be 50\/(-22) + t + -1. Is z greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10345.645772071 plus -3?\nAnswer: -10348.645772071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119 and -5?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11)\/((h*h**(-2)*h)\/h))**(4\/35) assuming h is positive.\nAnswer: h**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5794511?\nAnswer: 5794511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 5. Let t(y) = -2*y + 4. Let q(h) = 3*g(h) - 2*t(h). What is the units digit of q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1010*k**2 - 997*k**2 + 3002*k**2 - 1041*k**2 - 2525*k wrt k.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*r + 452*r = 11418 - 46428 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7433*i**2 + 202 - 202.\nAnswer: 7433*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/25)*m)\/(m**15*m)*m*m*m**14*m**2 assuming m is positive.\nAnswer: m**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s - s + s**3 - 5*s**2 - 3*s**2. Let g be l(7). Let c = 9 + g. Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -986687+9508224\nAnswer: 8521537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179, 345, 511, 677, 843?\n\"Answer: 166*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.625 times -51?\nAnswer: -745.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -169*r**2 - 169*r**2 + 340*r**2. Let l(v) = -3*v**2. Give l(s(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(6\/(-8)*1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3 - 24545596*b*h**3 + 98355*h**3 + h - 6 wrt b.\nAnswer: 12*b**2 - 24545596*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860 and 4969940.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1080 (base 10) to base 12\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*g + u, -u + 5*u - 13 = g. Let o = g - -53. What is the remainder when (82\/3)\/((-6)\/(-18)) is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/(-4))\/(((-75)\/(-250))\/(12\/(-10)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.173, 0.2.\nAnswer: -0.173, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 7:13 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 6878*t - 381 + 6878*t.\nAnswer: -t**2 - 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2327 divide 398454934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 65 + 83 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1005 - -122?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12 and -64\/130669.\nAnswer: 1568028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4, 4*q = 4*j + 111509 + 185095. Is 300 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(3 + -3*2\/3). Solve l*i - 5*i - n = 4, -i + n = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90190 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 25. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h**2 - 20*h - 20. Let a(j) = 5*j**2 - 7*j - 7. Suppose 0 = -q + 4*r - 2, 0*r - 3*r = -3*q + 30. Suppose -q = -5*y - 44. Give y*t(k) + 17*a(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72228 + -5?\nAnswer: 72223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let a = g - -6. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.5 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20107 smaller than 20108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-2\/5)\/b)\/b)**(-3\/2)\/((((b\/(b*b\/(b\/b**2)))\/b)\/b)\/((b\/b**6)\/b))*(b*b*b*b**(1\/9)*b*b*b\/(b*b\/(b*b*b**5*b*b*b)))**(-1\/7) assuming b is positive.\nAnswer: b**(-1207\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnmzzzzsnnnfzmz. Give prob of picking 1 s, 1 z, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*x = 7585 + 794. Solve -27 = 42*v + x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**8\/112 + 3*c**7\/35 - 7*c**6\/20 + 4*c**5\/5 - 9*c**4\/8 + c**3 - 26*c**2. Factor n(s).\nAnswer: -3*(s - 2)*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 28, 39, 64, 109, 180, 283, 424?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76490*m**4 + 5*m**3 - 5875611*m**2?\nAnswer: 1835760*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772\/(-528)*2\/(-14)*1*-2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 88 = 283 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(242) + sqrt(242))*-3 + 1)**2.\nAnswer: -924*sqrt(2) + 8761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54f (base 16) to base 12\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3313*o + 5*o**2 + 3313*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 384*b**2*m**2 + 19*b**2 + 2*b*m**3 + 64378*m**3 + m**2 wrt b.\nAnswer: 768*b*m**2 + 38*b + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:33 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, l: 2, d: 4, t: 1}. Give prob of picking 4 y.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 612?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -198.18 (b) 0.5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638635*x - 3564562*x + 295534*x - 74179*x.\nAnswer: -3981842*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8576 by 1072.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335272?\nAnswer: 2, 7, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456527 is divided by 42839.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/7 and 1440.144 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/(-2)*6. Solve i*s + 15 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*j**2 - 20 + 90*j**5 + 5*j**5 - 59*j**2 + 126*j**5 + 17 wrt j?\nAnswer: 13260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464972 >= 4464977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -7)\/(6\/(-4)). Let c be 10 - (4 - y\/(-2)). What is the greatest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 119*a**3 - 9*a**2 + 161*a - 9. Let p(c) = -30*c**3 + 2*c**2 - 40*c + 2. Let g(v) = 9*p(v) + 2*y(v). What is the second derivative of g(r) wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = r - 1, -34*x + 5914*r + 148 = 5910*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219879, 439656, 659433, 879210, 1098987?\nAnswer: 1318764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 5 = 25*n + 3*k, 5*n - 6 = 4*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2423164*o**3 + 19872*o + 30 wrt o.\nAnswer: 14538984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 2*s + 2*s)*(12*s - 7 + 7) to the form h*s + d*s**2 + b and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-25)\/100).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:37 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38448621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {j: 3, u: 2, i: 6, q: 1, c: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 2 = 4*a - 2*t, 5 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 13*f**4 + 2*f + 8*f**4 + 6*f**4 to a*f**4 + b + r*f**2 + z*f + m*f**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 + 6*k. Let c be s(6). Suppose t - 689 = -3*y, c*t + 2057 = 3*t + 4*y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(6\/13)*i*i*i**28 assuming i is positive.\nAnswer: i**(396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let g(l) = l**2 + l**2 + 3 - 3. What is c(g(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -18*i. Let v(x) = x**3 + 4*x**2 + 3*x. Let c be v(-2). Let n(j) = j**2 - 13 + 13 + j**c. What is n(q(y))?\nAnswer: 648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -431 + 427. Let z be ((-12)\/8)\/(30\/(-25)). Let c = -1\/20 + -3\/4. What is the closest to l in z, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -169, -243, -319, -397, -477?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/144*112\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*z + 12*z + 31*z + 107*z + 478*z - 543*z**2 wrt z.\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42799, -42806, -42813, -42820, -42827, -42834?\nAnswer: -42841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omooomommmooo. Give prob of picking 1 o and 2 m.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3\/(-12))\/(3 - (-104)\/(-32))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1904502 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 53*n + 8. Give a(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7 + 2 = -2*u, 3 = -2*u + 3*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3624210, 7248332, 10872466, 14496618, 18120794, 21745000?\n\"Answer: q**3 + 3624115*q + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 + -0.3. Let k = m - 3.4. Let f be 24\/374 + 2\/(-11). What is the third smallest value in f, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (152 + -139 - (-1 - -32))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w + 36. Calculate p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139737918*f**5 - 2*f - 51361649 wrt f.\nAnswer: 2794758360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 793*t**3 + 259*t**3 + 657*t + 262*t**3 + 271*t**3.\nAnswer: -t**3 - 2*t**2 + 657*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 7*t - 7. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1533.87 + 1533.9. Which is the biggest value? (a) q (b) -120 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 611*r + 612*r + 1 = 0, 3*r = 2*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*u**3 + 24*u**3 - 18*u**3 + (-182 + 182 - 18*u)*(2*u**2 - 2*u**2 + u**2) - u**3 - 4*u + 4*u to the form s*u**2 + d + o*u**3 + f*u and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 35814464*r**3\/3 + 320668993716286*r**2\/3 + 213779293329728*r + 106889640695787.\nAnswer: (r + 1)**2*(r + 17907231)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 29*a**2 - 216*a + 844. Calculate d(34).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*h - 2 = 6, h - 31 = 5*k. Let s = -7 - -10. Let q = k + s. Which is the smallest value? (a) q (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 2*g)*(-2 + g + 2) + 0*g**2 + 0*g**2 + 3*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6)*(-2 - 27\/(-21)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/2 + 3*k**3\/2 + 3*k**2 + 35*k. Let r(x) = -x**2 - x - 1. Let o(s) = c(s) + 5*r(s). Suppose -d + 8 = -3*d. Give o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.011 in -1.36, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52584932 + -36654932. What is s rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27815 = 31*a - 301576. List the prime factors of a.\nAnswer: 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13510 + -0.01.\nAnswer: -13510.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 3*c + 5*o + 39, 214 = 5*c + 4*o. Let u = -45 + c. Let i(k) = -19*k + 6. List the prime factors of i(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -82\/137 (b) -4 (c) 0.1 (d) 4 (e) -10\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45911, -45907, -45901, -45893, -45883, -45871?\nAnswer: -45857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 10, -1\/730220?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1733538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 33*j**2 - 33*j - 28. Let n be t(-32). Let y = n - -172. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11284*p**2 + 22560*p**2 - 11338*p**2 + 13 to the form m*p + h + t*p**2 and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -171*l**2 - 474*l - 8. Let c(i) = 98*i**2 + 237*i + 4. Determine 7*c(q) + 4*s(q).\nAnswer: 2*q**2 - 237*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/(-975))\/(4\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 - 14 = 0. Let n = 2365 - 2365. Solve 2*a - i*a = n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + (2 - 70). Let s = f - -99. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, -9346?\nAnswer: -9346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 8 + -8 + 4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + sqrt(180) - sqrt(50)\/sqrt(160)) + -5)*3)**2.\nAnswer: -1242*sqrt(5) + 25101\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 6*k - 22. Let n = -79 - -81. Suppose 0 = n*q + b - k, 0 = 4*b + b - 15. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/12 + (-4)\/12. Suppose 1 = f - p. Suppose -3632 = -4*l + 3*s, -f*s = 2*l - 1301 - 497. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.54.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 1 - 14. Let b be (-10)\/t*36\/(-30). What is the second derivative of -2*x + 8*x + x**4 - 7*x - 3*x**b wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)\/u)**49*(u\/u**(2\/11))\/u*u\/(u\/(u**(2\/5)*u)*u) assuming u is positive.\nAnswer: u**(2707\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m + 5. Let v be f(4). Let t = v - -29. What is the greatest common factor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121.3608 + 0.1008. Let o = -121 - w. Let c = o + -1.26. Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 2*l**2 + 1360*l\/3.\nAnswer: -l*(l - 40)*(l + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47462071 is divided by 1898482?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 16179*k - 48538\/3.\nAnswer: (k - 1)*(k + 48538)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 + -50 + (89 - 15 - 41)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 18*o - 2 - 2145*o.\nAnswer: -2163*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3 (c) 407 (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 1043636?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 7*n + 2. Let s be x(-3). Let q(u) = 95*u**2 - 3*u - 1. What is the units digit of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtidtdhtdtdtdcqt. Give prob of sequence cih.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 53 - 18*m + 22*m to the form p*m + q and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(2125\/(-75)*(-2)\/(-5))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1216 and 35\/1026.\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 548*i**2 - i - 591. Is m(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5016 and 81\/1827166.\nAnswer: 416593848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483035 and 7955?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10645\/77 + -1516\/11. Factor -1\/7 - k*l**2 + 3\/7*l + 1\/7*l**3.\nAnswer: (l - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -9 = 2*o - 2*s - s, -g*o + s - 3 = 0. Let f(c) = 0 + 2*c + o. Let t(j) = j. Calculate f(t(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/(q*q\/((q\/((q*(q**2*q)\/q)\/q))\/q*q)*q))*q**1*(q**(-1))**(-3) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*4*-93*1013\/(-249198)*123.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)\/o**(-7))**(-10\/13)*((o\/(o\/o**(-3\/2)))\/o)\/(o**(-3)*o)*(o**(-1\/4))**(-2\/65) assuming o is positive.\nAnswer: o**(-2824\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + (-10)\/(-3) + 3)*18 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 1 - 4)*(-j + 2 - 2) - j - 8*j - 29*j)*(2 - 3 + 0)*(2*j**2 - 3*j**2 + 0*j**2).\nAnswer: -39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3\/5, -7017, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(104)*3 + sqrt(104) - sqrt(104)) + -3*sqrt(104)*-4)\/(sqrt(512)*-1*2*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-4)*(-164)\/(-2214)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/18)\/1 - (-2)\/6. Is 16 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2156542 (base 8) to base 5\nAnswer: 122042322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a milligram in micrograms?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 492 + 650. What are the prime factors of y?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -93. Let w = -43 + d. Let k(c) = 2*c - w*c**2 - 2 + c**2 + 3 + 1. What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 7. Let z(b) = b + 1. Let q(p) = -2*p + 15. Let k(a) = -q(a) + z(a). Let j(x) = 6*k(x) + 10*n(x). Let t be j(-8). Solve 3 = -t*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -4*a**3\/3 - 9*a**2\/2 + 43*a + 1. Let j be r(-1). Let q be ((-3)\/2)\/(102\/8). Is j less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/8)\/(-7)*(-74)\/5*(-135)\/243.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -15233?\nAnswer: 15236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 28*t**2. Let w be m(-1). Suppose g = -3*g - 16, 0 = -2*y + 5*g + w. What is the units digit of (-88)\/(-14) + y\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3, -2\/13, 62 in descending order.\nAnswer: 62, -2\/13, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = -270*f + 681 + 628. Let h(b) be the second derivative of b**3\/6 + 11*b**2\/2 + 2*b. Let u be h(-8). Solve -u*c - 8 = -f*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -u. Sort 3, u, 2 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 52941.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 22*r - 18. Let u(l) = -10*l + 12. Let v(h) = 5*u(h) + 2*z(h). Calculate v(15).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 4\/3*s**3 - 1\/2*s**2 - 2*s + 0. Let n(u) = -u - 3. Let g be n(-4). What is c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p + 16. Let d be q(3). Suppose -12 = -d*h - 36. Which is smaller: -10 or h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/680, -126, 4.\nAnswer: -126, -1\/680, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -58566 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 723 - 727.764. Let p = r - 0.036. Let y = -5 - p. Which is smaller: y or 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 - 3*c**2 - 10*c + 4. Let l(r) = 6*r**3 + 3*r**2 + 11*r - 4. Let z(k) = 6*l(k) + 7*s(k). Give z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/5, 0.63, 3 in descending order.\nAnswer: 18\/5, 3, 0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -820*i - 26 + 13*i**3 + 11 - 63*i**4 + 15 - 2639*i wrt i.\nAnswer: -756*i**2 + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)\/h)\/(h*h*h*h**15\/h*h) assuming h is positive.\nAnswer: h**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22181986 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.6 + -19. Let s = z + -0.6. What is the nearest to -1 in -1, s, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-39)\/(-12))\/13). What is the nearest to u in 1, -2, 1\/5, 6\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7348759 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78898 is divided by 804?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -15587645.787\nAnswer: 15587645.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-567)\/27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14150004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 9*g - 8. Let q be c(-8). Suppose q = 5*k - 10 - 10. Suppose 4*i = z, k*z = 3*i - 7*i + 40. What is z rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -199786 and 0.01?\nAnswer: 199786.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11737*s**2 + 776*s. Let v(i) = -91*i**2 - 6*i. Determine 388*v(c) + 3*w(c).\nAnswer: -97*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 30 = 5*p, -p + 4*i = 2*i - 10. Suppose 0 = -2*f - m + 87, -p*f + 2*m + 2*m + 72 = 0. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 3128*a\/3 - 79976\/3.\nAnswer: -2*(a + 26)*(a + 1538)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 + -1100120?\nAnswer: -1033003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1324?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(126)\/(sqrt(3) - sqrt(48)))\/(sqrt(150)*-1).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -273 + 278. Solve x*d = 0, 2*l - d - d = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9. Let b be 3 - (-1 + (-177)\/(-4)). Let t = b - -40. Sort 3, r, t.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 3*v - 126 = -6*p, 3*p + 128 = 4*v. Let a be p\/32 + (-2)\/(-8). Put a, 1, 0, -97 in descending order.\nAnswer: 1, 0, a, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:36 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1763865*h. Let i(v) = 2*v - 4. Calculate t(i(x)).\nAnswer: 3527730*x - 7055460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*k - 34, k - 5*o = 5*k - 40. Solve -8*v - k = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)\/(0 - -1). Let k = 0.5 - 0.3. Let o = 29.9 + -30. Which is the nearest to g? (a) o (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/7 (c) -4\/207 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15307436 to the power of 1\/2, to the nearest integer?\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, 3, -5, 0.4.\nAnswer: -52, -5, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2163 and -0.056637?\nAnswer: -122.505831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3368, 3364, 3360, 3356, 3352?\nAnswer: 3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*g - 155, 0 = 4*g - 6*g + 2*d + 62. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 1451502.\nAnswer: 1451559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/52850 and -73\/2265?\nAnswer: 158550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -119072437 - -308\nAnswer: -119072129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457284*b*d**2 - 4*b*d - 2*b + 1972*d wrt d.\nAnswer: -914568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-70) - 66\/(-14). Let a(y) = -2*y - 6. Let x be a(-4). Suppose x*h + 2 + 7 = -3*j, 3*h = -3*j - 6. Solve -r - 2 = -4, -o*r = h*z - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5475 times -0.47\nAnswer: 2573.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and 29\/25614?\nAnswer: 25614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h - 11951 + 11951 - 115*h.\nAnswer: -91*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59515*w**2*y - w**2 + w*y - w - 41*y - 682 wrt w?\nAnswer: 119030*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 - 2*y + 3. Let f be c(3). Solve m = 3*j - 13, -6*j - 4*m + f = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 6. Let p(r) = r**2 + 5*r + 6. What are the prime factors of p(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69555, 73946, 78337, 82728, 87119?\n\"Answer: 4391*s + 65164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138233*q**5*w - 22*q**4*w - 439*q*w + 8*q + 9*w wrt q.\nAnswer: 2764660*q**3*w - 264*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 + 2 + (46 - 44) + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 5:17 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 + 389 = l, 3*q + 4*l - 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 1335*f**2 - 88440*f + 89780.\nAnswer: -5*(f - 1)*(f + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, -8\/169, 10.46, -0.1, -1\/7, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -88416a1?\nAnswer: -8841697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*t - 4)*(3 - 1 - 4)*(3 - 3 - 1)*(t**2 + 3*t**2 + 5*t**2).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c - 2 = 0. Is c\/(((-6)\/795)\/((-2)\/(-10))) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 8*i**2 + 2*i + 37. Calculate k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**7\/168 - 11*v**6\/120 + 5*v**5\/16 + 35*v**4\/48 - 53*v**3\/12 + 7*v**2 - 5861*v. Solve t(g) = 0 for g.\nAnswer: -2, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/80 and 185\/19656.\nAnswer: 196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1126215 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/513, 1, 3, -1\/4, -48 in descending order.\nAnswer: 3, 1, -10\/513, -1\/4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/40 - 13*n**5\/10 + 39*n**4\/2 - 108*n**3 - 2206*n**2. What is z in f(z) = 0?\nAnswer: 2, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 65*i**2 + 3*i - 8. Let w be y(2). Find the second derivative of w*h - 67*h**2 - 789*h + 259*h - 5 + 262*h wrt h.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 less than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11416332*t**2*v**2 + 3*t**2*v - 553*t**2 + t*v**2 + 90*v + 7 wrt v?\nAnswer: 22832664*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 3, -1\/4, -2\/25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 11653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85758982.\nAnswer: 2, 17, 53, 47591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 609 - 608. Which is the nearest to 1? (a) 8 (b) 0.5 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2014 and -14\/106159?\nAnswer: 4034042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 1, p: 2, r: 2, a: 1}. Give prob of sequence pv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642298.\nAnswer: 2, 23, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 320233452 (base 6) in base 13?\nAnswer: 1219757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((816\/(-15))\/(-4))\/((-8)\/(-240))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let l(t) = -t + 2. Let y = -96 + 88. What is y*x(n) + 5*l(n)?\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2. Let l(q) be the second derivative of -q**4\/12 - 9*q. Calculate r(l(a)).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -j + 52, 5*w - j - 98 = 3*j. Let s(y) = -y + 12. Let a be s(6). Let n(g) = 2*g. Calculate the lowest common multiple of n(a) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5 + p - 3*p**3 + p**3. Let n be r(0). Let i = n - -7. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-26)\/10)*-6 - (-5856)\/14640.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3)\/(4 + (-98)\/24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/(-15))\/(-4 + ((-234)\/270 - -5)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 14*b**2 - 11*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18189006 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 525427877, 525427876, 525427875, 525427874, 525427873?\n\"Answer: -d + 525427878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 17. Let f be o(9). Let z(a) = 6*a - 1. Let b be z(f). Solve -3*l - 7 = b*w + 2, 5*w = 3*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -582\/5 - -117. Factor -z*c**2 + 0*c + 4\/5 - 1\/5*c**3.\nAnswer: -(c - 1)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141441 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 37751137.\nAnswer: -2\/37751137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111000101010011000 (base 2) to base 15.\nAnswer: -9b68c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29252 is divided by 28582?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42.3 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1529262\nAnswer: 305852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -368, -2993, -10138, -24065, -47036?\n\"Answer: -377*j**3 + 2*j**2 + 8*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9855642 micrograms in kilograms?\nAnswer: 0.0000000009855642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 6. Let i(n) = n + 1. Let m = 712 - 406. Let u = -307 + m. Calculate u*c(b) + i(b).\nAnswer: -2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)\/(x\/(x\/x**(-4\/3))))\/((x\/(x*x**(-1\/4)*x))\/((x\/x**(-5))\/x)))\/((x**(4\/9)\/(x\/(x**(-4)\/x)))\/((x**(2\/11)*x)\/(x**1*x))) assuming x is positive.\nAnswer: x**(3493\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 2. Let x(i) = -7 + 0 + 10 - 2 - i. Let a(h) = 6*h**2 - h + 17. Let y(b) = 4*b**2 - b + 11. Let u(o) = 5*a(o) - 8*y(o). What is d*u(m) - 3*x(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 1\/270*l**5 + 8*l**2 + 1\/108*l**4 + 0 + 0*l**3 + 0*l. Determine t, given that u(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 42, 29, -6, -69, -166?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 at most as big as 845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.1 (c) 2 (d) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*g, -5*g + 6*j - 20 = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -352873.84 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8))\/(1\/(-12)). Let t(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - 3*a**3\/2 + a**2 + 30*a. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let s(k) be the third derivative of 29*k**5\/60 - 6*k**2. Calculate g(s(d)).\nAnswer: 58*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and 1792274447972.\nAnswer: 1792274447893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 10:59 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from mmumbmmbmbbggmggumm.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-1)\/10*45*(-32)\/96).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 7:36 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 37. Suppose -4*x - 3*v = -25, -l*x - v - 4*v + 35 = 0. Suppose 0 = x*u + 13 + 19. Are u and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12025 (base 9) in base 4?\nAnswer: -1331222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 5. Let k(b) = -2*b - 2. Let s be k(w). Factor 346*j**3 + s*j**4 + 3*j**4 + 3*j**2 - 355*j**3 - 3*j**5.\nAnswer: -3*j**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/(24\/15 - 4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 44*z\/3 - 15.\nAnswer: (z - 45)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-11)*b*b**(-8)*b assuming b is positive.\nAnswer: b**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -581500 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169 = 974*q - 907*q + 2844 + 1809 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 2*u + 723. Let d(v) be the third derivative of 0*v**3 - v**2 - 1\/12*v**4 + 0 + 0*v. Calculate k(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, h: 4}. What is prob of sequence hhhh?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 + 112*j\/5 - 113\/5.\nAnswer: (j - 1)*(j + 113)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2. Let u(s) = -s**2 - 14*s - 11. What is u(t(b))?\nAnswer: -25*b**4 + 70*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587517 divided by -27977.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 + 63*v**2 - 14*v - 14. Let f(x) = -2*x**3 - 42*x**2 + 10*x + 10. Determine -7*f(r) - 5*w(r).\nAnswer: -r**3 - 21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 206365224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/(-6)*1*-107. Let h = y - 163. Let g = h + 72. What is the lowest common multiple of g and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1046 - 1096. Sort j, 0.09, 3, -1\/4.\nAnswer: j, -1\/4, 0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -27. Suppose -3*s = -x*s + 84. 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 s = 173 - -79. What is the greatest common divisor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:17 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/98)\/(4\/(-8))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -724923 - -1.\nAnswer: -724922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -83, -129, -173, -215?\n\"Answer: j**2 - 51*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2080\/414 + (-890)\/801 + 16\/184?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31034959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65.17 + 0.83. Let a = 65.987 - n. Let v = a - 3.987. Sort -2\/5, v, 12 in increasing order.\nAnswer: v, -2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52665599600 rounded to the nearest one million?\nAnswer: 52666000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = g + 2*g + 38, h = 3*g + 14. What is the tens digit of 3\/g*1*-68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15162 - -26?\nAnswer: 15188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1. Suppose -21*a + 33*a - 12 = 0. Let x(s) = -s - 2. Let t(n) = a*x(n) + 5*o(n). What is t(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6. Let f(y) = -y**3 + 4*y + 3. Let u be f(-2). Suppose r = u*h - 6. Solve -h*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 260 = 4*s - 9*s, 0 = g - 3*s + 260. Let y be g\/(-2) + (-15 - -11). What is the highest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 0*k + 5*k**2 + k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgggggggkgggkg. Give prob of picking 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 137813 + 3*m**3 - 2*m - m**3 - 7*m**2 - 137822. Suppose 2*h + 24 = 6*h. What is the tens digit of r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 7)\/((-1)\/4). Suppose -3*n + 9 = c. What is the closest to n in -3, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690134 to the power of 1\/2, to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 70197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -0.5, 0.1, 4\/7, 146\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 34*o**2 - o - 3. Let q be c(-1). Put -4, 2, q, 3 in descending order.\nAnswer: q, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 2*r + 2*b, -4*b + 1223 = 5*r - 8*b. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhq when three letters picked without replacement from hhyhqqhqh?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 244\/120 + 2. Let o(h) be the third derivative of -v*h**5 + 0 + 0*h**3 + 2*h**2 + 0*h - 1\/180*h**6 - 1\/18*h**4. Let o(n) = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 3, i: 1, x: 11, j: 1, m: 1}. What is prob of picking 2 x, 1 j, and 1 v?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 25. Let v(b) = b**2 - 3*b - 5. Calculate the remainder when v(-10) is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -6811959*n + 6811955*n + 552, 1554 = 11*v + 2*n for v.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*y + 9 + 45 = 0, 60 = 3*n + 5*y. Calculate the least common multiple of 2\/(1 + 4\/(-6)) and 5\/n*(64 + 2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3469493 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*c + 2*c. Let u = c + 113\/4. What is the biggest value in -3\/7, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 2, -2\/13, 0.16, 0.3 in descending order.\nAnswer: 2, 0.3, 0.16, -2\/13, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzmzzzmmzmm. Give prob of picking 3 z and 1 m.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142328545?\nAnswer: 5, 383, 74323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 59. Let p be a(-18). Let l be (10\/p + -1)*39. Which is smaller: 38 or l?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010515985145 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16414 is divided by 8155?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.8 - -43.2. Let y = r + -26. Let q = y + -15.6. Round q to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -371 - -370. What is the third smallest value in -0.7, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5903.722 millimeters to centimeters.\nAnswer: 590.3722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/91411 or -1?\nAnswer: 4\/91411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 1485?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 28602*l**2 + 143085*l.\nAnswer: -3*l*(l - 9539)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55180060)\/(-747) + 3\/27. What is x rounded to the nearest one thousand?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:10 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-15))\/((11\/2)\/(-11))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/((-600)\/(-45)))\/(22438\/(-11216) - -2)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19013035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*c - 9. Let m be 3\/2 + c\/(-24). Suppose -p + m = -9. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -257*y**5\/20 - y**4\/8 - 145*y**3\/6 + 3801*y**2. What is the second derivative of w(s) wrt s?\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -724, -1422, -2124, -2830?\n\"Answer: -2*f**2 - 692*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -5*g**3\/6 - g**2\/2 - 2*g. Suppose 0*f - 4*f + 14 = p, -3*p + 2*f = -14. Let t(r) = 9*r + 2. Give p*t(n) + 10*a(n).\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 20. Let o = 11 + -20. Let d be l(o). Suppose -d*p = -3*t - t - 20, 2*p + 5*t + 16 = 0. Solve -p*i - 4 = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3 + 26*p**2 - 3*p - 1. What is a(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -803\/7 and -115 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Suppose 2*k - d*h - 57 = h, -5*h + 15 = 0. Suppose 4*j - 9 = 67. What is the remainder when k is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (751 - 440 - 607)*(-2*q**3 - 2*q**3 + 5*q**3) + (-2*q + 2*q - q**2)*(1 - 1 - 2*q).\nAnswer: -294*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:51 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -52424)*1*(-64 + 63). Round k to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8896 = -8*b. Let u be 6*-20*(1 - b). What is u rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x - 85. Give g(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 937\/3 - 312. What is the nearest to -1 in 3\/4, j, -5, 9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 17*s**2 + 8*s - 4. Let n be w(6). Suppose n*q - 9588 = -4*q. What are the prime factors of q?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2702\/13 - 208. Let t = 15.3 + -6. Let w = t + -3.3. Which is the fourth smallest value? (a) g (b) w (c) -1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 6 = -2*v, -12 = 4*v - 5*t. Let k(u) = -2*u**3 - 4*u**2 - 3*u. Let f be k(-2). Suppose -3*s + 4*p - 25 = 0, -3*p + f + 6 = 0. Is s > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*q - 19 - 405 = 0, 710 = 5*x + 5*q. Suppose 0 = v - 0*o + 3*o - 19, -o = -5*v + x. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 94937787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 5*h - 3*h)*(-2*h + h**3 + 2*h) - 2401 + 418*h**4 + 2401 + 2*h**3.\nAnswer: 419*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 5. Let c be j(4). Let u(f) = -8*f**3 + f**2 + 2*f + 1. Let l be u(c). Solve 5*s = -2*r + 8, s = -5*r + 28 - l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29095 - 14690. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and -228.\nAnswer: -228.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:40 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2075509 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4105*s - 30617 = -275995 - 119967 for s.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -4, -112, 20 in ascending order.\nAnswer: -112, -8, -4, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -109*u**2 - 110*u**2 + 39 - 58 + 221*u**2 + 181. Let o(a) = a. What is y(o(z))?\nAnswer: 2*z**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 53 = 2*s, 208*h - 204*h = 2*s + 46 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -10 - 17. Let g(q) = -q - 6*q + q**2 - q. Is 6 a factor of g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5.8. Let o = 0.8 - s. Let r = 3.8 - 0.8. Put o, r, -3 in ascending order.\nAnswer: -3, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/7 (b) 3\/4 (c) -4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73823\/11 + 6716. Calculate the common denominator of c and 35\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*m**3*n**3 - 5089*m**3*n + 4*m**2*n**2 - m**2*n - 105*m**2 + 1336*m*n + n**3 wrt m?\nAnswer: 852*n**3 - 30534*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 - 163. Solve -3*t - b + 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*j**4 + 799*j - 799*j + 7*j**4 - 4*j**4 - 4*j**4 + (4 - j - 4)*(-2*j**3 + 8*j**3 + 8*j**3).\nAnswer: -59*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -0.3 (c) -18 (d) -11.0079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -52*j - 120*j + 2298876. Does 34 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2323070790\/923 + -2516870. Let b be 60\/(-710)*(-1 - -2). Let k = y - b. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0 + -1)*5. Suppose -4*b + 4*b - b = 0. Suppose b = -8*j + t*j + 207. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - 68 + 96 + 122. Solve 18 = q*o + 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 28 = 3*c, -18 = 3*c + 3*v - 6. Let g be (15\/c)\/((-3)\/30). Suppose -g = -2*j - 5. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377745.\nAnswer: 5, 475549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/42711 and 37\/50139?\nAnswer: 1153197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103083 times -10?\nAnswer: 1030830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(700)*5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -0.7, -0.4, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 9) to base 10.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -b - 0 + 12, 4 = -2*w. What is the units digit of ((-12)\/10)\/(b\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**4 - 54*f**3 + 13913*f wrt f?\nAnswer: 144*f**2 - 324*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 942 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*g + 439*g + 725*g.\nAnswer: 1477*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27445*m**4 - 99*m - m**2 + 91*m - 27605*m**4 in the form v*m**2 + y*m**4 + u + g*m**3 + r*m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from ffhxf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:52 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 23, 0.073, 3\/16, -0.3?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-11)\/10) - -1. Let k = u - 8. Which is the second smallest value? (a) -0.5 (b) k (c) 3.9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-72))\/((-782)\/56304)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/57*351\/156?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*b*z**3 - 7*z**3 + 1 with respect to b.\nAnswer: 90*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 - 7\/(84\/8). Let d = 759 + -754. Put f, 17, d in decreasing order.\nAnswer: 17, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let i(f) = 4*f**3 - f. Let o be i(u). Let j be (-4)\/(26\/(-156)*4). Solve j*g - 3*g = o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17516, 17511, 17492, 17453, 17388, 17291, 17156?\nAnswer: 16977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdz when three letters picked without replacement from qdzzqzzqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (0 - (-45)\/(-21)))\/((-432)\/(-1512))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101010011110101 (base 2) to base 15.\nAnswer: -25888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 74*r = -94080. Does 43 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8492 and 40832.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvun when four letters picked without replacement from {v: 1, n: 1, c: 1, x: 1, u: 2, k: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/81 and -19\/3474?\nAnswer: 31266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-62 + 51) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, z: 2, m: 1, r: 5}. What is prob of picking 1 r and 1 x?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004555254663 rounded to seven decimal places?\nAnswer: -0.0004555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3620 - (4\/6)\/(17\/102). Calculate the greatest common divisor of x and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(2178)*5)\/((sqrt(108) + sqrt(108)*-4)\/sqrt(12) - sqrt(9))*3.\nAnswer: 81*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t + 14. Let f be k(-6). Suppose -3*u = -4*b + 27, -3*b - 11 = -5*b + u. Calculate the remainder when 102\/13 - f\/(-130) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246620161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2158826 and -2158868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 35. Suppose -84*k + 6*k**2 - 33*k**3 - s - 12 + 71*k**3 - 17*k**3 = 0. What is k?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56176667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -0.5. Let o = 0.5 + r. What is the closest to 0 in -1, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167.8 + -167.9. What is the third biggest value in -1\/5, 0.5, -1, 8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/2 + y**3 + y**2\/2 + 2*y + 1. Let s be z(-2). Calculate the smallest common multiple of -1 - s - (-2)\/(-2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (8 - 49)) + (-2 - (-5 + -4))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.535 + -1.465. Let m = 4.94 + 0.06. Let n = m - 6. Which is the nearest to 2\/9? (a) 1\/3 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54630 is divided by 25122.\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -234, -245, -256, -267?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 133*u + 133*u)*(0*u - 1 - u + 5).\nAnswer: 4*u**4 - 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2 - 2)*(-9*i - 9*i + 4*i) in the form f*i + p + w*i**2 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -511.831 - -0.831. Let f = -510.99422 - d. What is f rounded to 4 decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 95*b**2 + 2056*b - 615. Calculate m(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + c + 7764, 13*w = 17*w - 3*c - 10347. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 5. Let z be t(6). Suppose 0 = v + z - 33. Calculate the least common multiple of v and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/65*(-10)\/(-4)*2. Suppose 0*y - y = -q. Solve 3*c - 15 = y*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -774781.\nAnswer: -154956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1034.11 - 1034. What is the second smallest value in p, -5, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - (-6 - -3) - (-19185 - -19221)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 7689?\nAnswer: -100\/7689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:42 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -295, -317, -329, -325, -299, -245, -157?\n\"Answer: d**3 - d**2 - 26*d - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - l - 32 = 0. Solve -5*b - 10 = -l*n + 15, -20 = 4*b + 2*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/36 and -103\/104944.\nAnswer: 944496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8082 divided by 6\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 - x - 5. Let z be j(-4). Suppose u + z + 4 = 0. Let p(t) = 10*t**2 + 2090*t - 16. Let o be p(0). Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29163 + 29164. Is 18\/517 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -137 - 67457?\nAnswer: -67593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylylylyupyyyyyl. What is prob of sequence pl?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -18*a + 97 - 98 + 11*a + 29. Give h(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 563 - 558. Sort -9, o, 1, 0.\nAnswer: -9, 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 1 z when three letters picked without replacement from zrzqeegl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (0 + sqrt(65)\/sqrt(5))) + sqrt(13) + (4*(sqrt(13) + 2))**2)*5.\nAnswer: 325*sqrt(13) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15330\/11 greater than 2744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840486 is divided by 14491.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -76 - 51. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.1, -3, -0.1, -66704?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855566*z**6 - 21053*z**2 - 3 wrt z.\nAnswer: 102667920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81485 greater than or equal to 81482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 14 = 3*d, -3*d = -4*h + 10. Suppose -2*z + 2*l + 1712 = -0*z, -d*l = 2. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.778127529 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6 = -2*w, f - 15 = -4*w - w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*v = 257*v - 7035 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k - 1. Let h be b(-1). Suppose 0 = o + 2*o - h. Is 2\/((-2)\/(-19))*o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139886 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7789 = -3625*g - 74*g + 114278 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 41. Let y be (105\/v)\/(-10 + 9). What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/20 + 9*m**5\/40 + 3*m**4\/8 + m**3\/4 + 19*m**2. Factor d(y).\nAnswer: 3*(y + 1)**2*(4*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 - 5*s**2 - 15*s + 16. Determine g(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i + 3*i - 2*i)*(1 - 4 + 4)*(241 - 241 - 20*i) to c + l*i**2 + v*i and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(312)\/sqrt(8) - (sqrt(39) + (3*sqrt(5616) + sqrt(5616) - sqrt(5616))))\/(3*(1*sqrt(108)*-1 - sqrt(108))).\nAnswer: 17*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336824 - -336824.274306. Let y = m - 0.274. Round y to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.07, -1\/8, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37700, 37505, 36974, 35939, 34232, 31685, 28130?\nAnswer: 23399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca - 8?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41624723\/264 - 157669. Find the common denominator of n and 5\/319.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9\/5, 3\/4, -0.4, 108, -3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 233\/(6340\/(-90) - (-24)\/54). Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 - 3*v**4\/2 - 8*v**3\/3 + 17*v**2\/2 - 5*v. Let k be z(-17). Sort 3, -2, k in decreasing order.\nAnswer: 3, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 318?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - -118. Let d = i + -61. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -248*o. Let b(n) = -1569*n**2. Calculate x(b(g)).\nAnswer: 389112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -87 + 13580 + (-1 - 0)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1062821 - -1526164. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006795 by 800.\nAnswer: 201359\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -50. Let n be 7956\/(-3315)*(1 + (-1333)\/3). Calculate the highest common divisor of n and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21753.7 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (9\/(-18) - (-68)\/8) + -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 18}. What is prob of picking 3 t and 1 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 5\/4*k**2 + 3\/2*k**3 + 0 + 1\/4*k**4.\nAnswer: k**2*(k + 1)*(k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:59 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:59 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 6*p + p - 3*p. Let o(x) = -x**2 - x + 1. Let c(f) = -4*f**2 - 6*f + 6. Let n(z) = -c(z) + 6*o(z). What is n(w(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 4\/5, 0.2, -42?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 7*t + 11. Let q be u(-8). Determine c so that -c**q - 2 - c - 2*c**2 - 1 + 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1070142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(2 + 2 - 2)*(7*b - 3*b + b) in the form u*b + o and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3\/2 - 141*y**2\/2 - 792*y + 864 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.1906g in tonnes?\nAnswer: 0.0002511906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150616649 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114153 is divided by 284?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:39 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9422, 9416, 9388, 9326, 9218, 9052, 8816?\n\"Answer: -2*a**3 + a**2 + 5*a + 9418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/40)\/((-8)\/(-20)). Let v be ((-3)\/12)\/(3\/(-4)). What is the nearest to m in -1, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 31*n**2 - n. Let w be g(-1). Let p be -2 + (-2 - 0)*-41. What is the highest common divisor of w and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131944110.2 + 29.5?\nAnswer: -131944080.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c**2 + 1. Let s(a) = 3895*a**3 - 4*a**2 - 2. Determine 2*l(q) + s(q).\nAnswer: 3893*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -6 - 12) + 34\/10*(-215)\/(-172)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = -0 - 0. Suppose 23 = 3*t - 2*t. Suppose 25*j - t*j = d. Solve -2*n - 2 + j = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -102. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2812 or -14058\/5?\nAnswer: -2812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**6)\/(d\/(d*d*d**3*d)))\/(d**9*(d**(-11)\/d)\/d) assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/179, -33, -4, -1, 2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 - 99. Calculate the highest common factor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101101011011 (base 2) to base 3.\nAnswer: 202211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456410000 rounded to the nearest one million?\nAnswer: 1456000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.58474114 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from {t: 13, q: 3, s: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -774 - -1430?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -9*v**5\/80 - 7*v**4\/32 + v**3\/4 - 3*v**2. Factor f(a).\nAnswer: -3*(a + 1)*(9*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v + 3*h + h, 2*v + 5*h - 5 = 0. Differentiate -v*u**2 - 8*u**2 + 29 + 2*u**2 - 15*u**2 wrt u.\nAnswer: -52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*h**2 - 37*h**2 + 3*h**3 + (-3 + h + 3)*(2*h**2 - 3*h**2 + 4*h**2) - 5*h**3 + 5*h**3 + 8*h**3 as q*h**2 + n + z*h**3 + o*h and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let c(y) = -y + 116507. Calculate c(u(i)).\nAnswer: i + 116507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfmfkffiib. What is prob of sequence fbm?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383145*t**2 - 383146*t**2 + 766291*t**2 + 61*t**3.\nAnswer: 61*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3645*i + 63*i**2 + 2 + 3645*i + 94*i**2.\nAnswer: 157*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from hpcpcfphcvav.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19140\/(-9567) - 1) + 4 + -1. Let y = 48868\/47835 - k. Find the common denominator of 7\/90 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, y: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10036935 is divided by 13844?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 1528384. Let x(f) = f. What is p(x(q))?\nAnswer: -q**2 + 1528384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66134 or -66132?\nAnswer: -66132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -9*p - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17488938 is divided by 2196?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 96. Let l = 74 + c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = -3*u. Let r = 3 - u. Let b = 8 - r. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 5 - (2 + 8 + -1 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d - 3 - 1 - 3 + 0. Let x be j(6). Let c be (-11)\/(-33) - x\/(-3). Which is smaller: 19 or c?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb959 (base 12) to base 5.\nAnswer: -30422334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 - k - 8. Let u be p(7). Let h be (18\/u)\/(4\/20)*-3. Which is smaller: h or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182.5 + -250.\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -682767 less than -682767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(252) - sqrt(252)*2).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 3. Let d(r) = 1. Let p(g) = 3*b(g) - 6*d(g). Let v be p(6). Let h(s) = 4*s - 4. Give h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(v - 4*v + 2*v) + (-1 - 3 + 5)*(3*v + v - 2*v) + 2*v - 4 + 4 + 1 + 2*v - 1 + 3126 + v - 3126.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941762794?\nAnswer: 2, 7, 67268771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*k**4 - 7*k + 0*k**3 + k**3 - 152*k**4 - 2 as y*k**2 + l*k**4 + j*k + d*k**3 + u and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 7 = 2*k, 3*k = -2527*h + 2530*h + 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 13. Let w be (1 - 4)*(-208)\/48. Let s(i) = -i - 2. Calculate the remainder when p(w) is divided by s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/403 + 48*150\/13. Suppose 2*n - v = -0*n + x, 0 = 3*n - 4*v - 841. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 2*g - 3*x + 118, -x + 273 = -5*g. Let j = 77 + g. Let f = 24 - j. Which is the closest to -1? (a) 7\/4 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006993974 rounded to seven decimal places?\nAnswer: -0.0000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 368353859 or 368353862?\nAnswer: 368353862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 902, 1799, 2700, 3605?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspsssp. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912) + -2*sqrt(912) - sqrt(1425)*2)\/(-4*(sqrt(3) + -1*sqrt(75) + sqrt(3) + sqrt(3))))**2.\nAnswer: 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:56 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkmkmkkkktim. What is prob of sequence kmim?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*o - 308, 0*o - 4*z - 58 = -o. Factor 3 + 8*p**5 - 3 - 4*p**3 - o*p**4 + 70*p**4.\nAnswer: 4*p**3*(p - 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4507316 (base 8) in base 16?\nAnswer: 128ece","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - 2*m + (-19*m + 4*m + 6*m)*(28 - 22 + 18)*(-1 + 2 + 1).\nAnswer: -430*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from nrgggrrrgrrgrrgnn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3676\/5 - -736. Factor -1\/5*a**4 - a**2 + w*a**3 + 0 + 2\/5*a.\nAnswer: -a*(a - 2)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1052261959 to the nearest integer?\nAnswer: 32439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -55, -134, -245, -388, -563, -770?\n\"Answer: -16*i**2 + i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1176))\/(sqrt(1728) - sqrt(1728)*-2) - (sqrt(10) + (sqrt(160)*-2 - sqrt(160)))\/(-2*sqrt(15)\/sqrt(3) - sqrt(5)).\nAnswer: -29*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 0. Suppose b - k*b + 8 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 34*l + 15. Let z(w) = -w**2 + 5*w + 19. Let r be z(6). Let h be i(r). Let b = h - 117. Solve -3*c + b*c - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 5*l. Let i be h(-4). Let t = -0.88 - 0.12. Let q = -4 - t. Which is the nearest to -1? (a) q (b) -2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -64 - 13 - -1) + -8 - -19\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9158 is divided by 4186.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a**2 + 0*a**2 - 2*a**2 - a**2. Let o be (-12)\/(-42) - (-52)\/14. Let c(b) = 3 - o + b**2 + 1. Calculate g(c(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.03 - 4.47. Let a = h + 6.499999544. What is a rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6147 + 4.6147. Which is the biggest value? (a) -28 (b) p (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27078792 by -8.\nAnswer: -3384849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*36\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05767? (a) 3 (b) -1\/16 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 4212, 9478, 16850, 26328, 37912, 51602?\nAnswer: 67398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -415 + 1321. Let r = -3022 - g. What is r rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r + 3. Let i = -13 + 8. Let g be d(i). Suppose -t + o = -2*o - 1, -2*t + g = -5*o. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*b**3 - 16*b**3 - 8*b**3 - 10*b**3.\nAnswer: -162*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -634.7 to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(-46) + (-62)\/(-4). Suppose 2*l + 5 = n. Suppose 12 = 2*i - 4*q, i + l*q + 8 = -0. What is the closest to 0 in -1\/9, -13, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 60 = -8*p. Suppose -b + 4 = -p. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -25*k + 57 + 10. Solve 9*t - 9 = 14*t + 3*q, 5 = -k*t - 5*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**2 - 1\/6*w**4 + 0*w**3 + 0 - 4*w. Let c(x) be the second derivative of x**4\/12 - 3*x. Give c(o(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9.05 (b) 0.5 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 32*i**4 - 60*i**3 - 32*i**2 + 64*i = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sszzbbjsj. What is prob of picking 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from {m: 6, o: 4, q: 5, h: 4}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 55. Let j = x + -28. Calculate the highest common divisor of j and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*t**3 + 3*t**2 + 154*t + 1.\nAnswer: -72*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrvvrvrvrvrvrrrrr. What is prob of picking 1 z and 2 r?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 232495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25162 - -555?\nAnswer: 26050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = p + 4*p - 26, -p = -5*o + 6. Suppose -5*s - 81 = -0*s - 2*h, 2*s + 42 = p*h. What is the remainder when 646\/6 - (20\/s - -2) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3436 - -3438. Solve p*t - 5*o + 18 = 0, -5*o - 2 = t - 4*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1566 + -1379. What are the prime factors of b?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 31 = -21 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568436 divided by 87?\nAnswer: 18028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:19 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2400 divided by -18.\nAnswer: 400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 + j - 4. What is v(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajaajaaaaa. What is prob of sequence jaa?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*4\/6*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/9652 and -73\/114?\nAnswer: 28956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45579 divided by -3\nAnswer: -15193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*k + 59, -54*k - 9 = -57*k for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.6171 - -0.0171. Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*y + 3*y - 93, -y - 4*j + 40 = 0. Suppose -y = -8*k + 4*k. Put -4, -2, k in decreasing order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*o - 52 = 0, -5*h + o = -h - 62. Suppose 2*d - 22 = -4. What is the remainder when h is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -352 - -1073\/3. Is 6 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.639 - 0.5. What is r rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3652 - -5670. List the prime factors of n.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*r**2 + 2 - 2 - 5*r**3 - 14*r**2 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26556665 is divided by 981?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let l = 1 + i. What is the third derivative of -3*x**l + 0*x**2 - 2*x**6 + x**2 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 276.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115\/(-35) + (5 - 2). Which is the biggest value? (a) 0 (b) z (c) -13 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107202998 divided by -2.\nAnswer: 53601499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*t - 22 = 54*t + 53*t - 3*z, 19*z = -4*t + 174 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001877206 to seven decimal places.\nAnswer: -0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 87 - 24. Solve 10 = m*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 101?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -2*d. Suppose -3*u + 81 = 3*i - 5*u, -d*u = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-4)*(-6)\/(-10). Find the common denominator of 97\/(-10) - d\/(-3) and -37\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/42 and -71\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -2, -4, -8, -14?\n\"Answer: -g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3514778 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -118*g**3 + 8*g**2 + 20*g + 107. Let h(c) = 77*c**3 - 5*c**2 - 13*c - 71. Give 8*h(i) + 5*y(i).\nAnswer: 26*i**3 - 4*i - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1859 divided by -169\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from hhvh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h - 75. Let a = h - -34. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -494*h + 118. Let u(v) = -987*v + 255. Give 13*j(k) - 6*u(k).\nAnswer: -500*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8007.69 - 7913.68619. Let n = 94 - v. Round n to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101012011001021 (base 3) in base 5?\nAnswer: 2341301100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/20 - (-9)\/5. Suppose 2*k - 2*m - 220 = 0, -3*m + 2*m = s*k - 205. Suppose -k = -9*u + 4*u. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 8*k - 3. Let p be l(8). What is the tens digit of (-8)\/(p\/(-6) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184790 is divided by 184586?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65984 (base 10) to base 16.\nAnswer: 101c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 71*k + 66*k + 51, k = 4*n - 33. What is the smallest common multiple of 32 and n?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:36 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 210*p + 81 = -208*p, -3*p = -d + 27. Solve -d*u + 32*u = -35 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -179, -168, -157, -146?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 92. Let f be 18\/114*(-4)\/6. Let y = f + 23\/38. Which is the closest to -3? (a) y (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 4*h - 0, 4*h + 7 = p. Which is the nearest to -2\/5? (a) h (b) 23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181391527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -117, -9462 in decreasing order.\nAnswer: 3, -117, -9462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3\/2 (b) 0 (c) 9\/7 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -0.1, 5, 11, 26\/7, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/4)*b**(-1\/25)\/b)**12 assuming b is positive.\nAnswer: b**(213\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*j + 1 = -2*d, 4*d = -11*j + 3*j + 6*j + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 30 = 5*s, -5*m = -3*m + 5*s - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2486 = 2*p - 4*p, 0 = -3*p + 5*d + 3769. Is 96 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 49*n + 49*n = 94*n - 7, -2 = -2*n for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**19)*b)\/(b*b**2*b)*b*b*(b\/b**(-8))\/b*b*b*b*b\/b**(-2\/35) assuming b is positive.\nAnswer: b**(-278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1726*m - 7267. What is v(-6)?\nAnswer: 3089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1109304 and 1016862.\nAnswer: 12202344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-16) + (-26)\/(-4). Suppose -v - 3*a + w*a + 2 = 0, -2 = -v - 5*a. Determine f so that 0 - 2\/3*f**4 + 1\/3*f**5 - 1\/3*f + 0*f**3 + 2\/3*f**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f - 4. Let g(b) be the second derivative of -5*b**3\/3 - 3*b**2\/2 - 3*b. Let o(q) = -3*g(q) + 2*x(q). Differentiate o(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57864 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52759\/90 + 1173\/2. Let j = 4\/15 + k. Is 1\/10 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2436945394.9 minus 3.4?\nAnswer: -2436945398.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161463.\nAnswer: 1161463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 171972935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 992 and 2580254?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14. Suppose -4*c + 19 = -v, -2*v = -5*c + b + 19. Solve k + 0 = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66248 (base 10) in base 5?\nAnswer: 4104443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/355914864 and -125\/4943262.\nAnswer: 355914864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 12*q - 30. Let d be l(8). Let u(k) = -11*k + 2 - 35*k**2 + 71*k**2 + d - 35*k**2. Give u(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/12 - 25*q**4\/4 + 165*q**3\/2 - 295*q**2 - 2. Find a such that u(a) = 0.\nAnswer: -33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/118, 0.4, -1\/4, -1, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12970 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 212. Let i be f(-14). Solve -3*p + 2*k + 25 = 0, 0 = 21*p - i*p + 3*k - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u**2\/5 + 77*u\/5 - 86\/5 = 0. Calculate u.\nAnswer: -86\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5645, -45129, -152331, -361121, -705369, -1218945, -1935719, -2889561?\nAnswer: -4114341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/232 and 109\/22.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -496, -1763, -4234, -8311, -14396?\nAnswer: -22891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4205993\/83453 - -60\/4909. Is 50 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 - 8 + 8*b + 4*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 0, -5*b + 3*r + 24 = 0. Let k(t) = 2*t - 1. Give k(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7777926 and -13\/66478.\nAnswer: 7777926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63460 is divided by 19661?\nAnswer: 4477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + j + 3. Suppose 7*q = 15 + 90. Let u(g) = g**3 - 14*g**2 - 13*g - 27. Let z be u(q). Give d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 157, 507, 1197, 2341, 4053?\nAnswer: 6447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 4 = 0. Is (-1 + (-320)\/m)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400.456779 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 406, 607, 808, 1009?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 19*m**2 + 151*m + 46. What is a(-25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {i: 3, p: 1, l: 5, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -0.0926, -10, 2.\nAnswer: -10, -0.0926, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(26)\/sqrt(2) + -4))**2 + -4 + 5.\nAnswer: -12*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5 = 0, 2*w + 1 = -6*b + 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 9:41 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6018 + 3?\nAnswer: -6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/7)\/p)**9\/(p\/(p*p*p\/p**(-1)))**(11\/2)*(p*p\/p**1*p)**(-23)\/((((p*p**(-5))\/p)\/p)\/(p*p*p\/p**(-1\/7)*p)) assuming p is positive.\nAnswer: p**(-235\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 821357652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1001 - 1003. Is 223 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) -0.8 (b) -4.6 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + 142800004\/(-14). Round s to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 5*a + 3*a - 2*a - 3*a + 6*a + (a - 2*a + 2*a)*(4 - 1 - 2))*(-13 + 9 + 10) to the form m + w*a and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8127 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380217507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -570 - -570.079. Let m = 0.121 + n. Sort 1.1, 0, 4, m in descending order.\nAnswer: 4, 1.1, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6)\/sqrt(2))**2 + sqrt(30)\/(-2*sqrt(10)).\nAnswer: -sqrt(3)\/2 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1848 and 23\/352.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 58985*w + 294979. What is o(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1152)*-1 + sqrt(1152) + sqrt(1152))*-4)\/((sqrt(9) - (sqrt(9) - (sqrt(9) + sqrt(27)\/sqrt(3)))*3)*5))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/119)\/q**(2\/131) assuming q is positive.\nAnswer: q**(-500\/15589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75278 + 3626*r**4 - 75278 - 8054*r wrt r?\nAnswer: 43512*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h. Suppose -2*f - 135 + 153 = 0. Let w(s) = f - 26 + 8 + 12*s**2 + 11. Calculate u(w(c)).\nAnswer: 84*c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1988 = 4*t, -105 + 109 = v. Which is smaller: 525 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10\/3)\/f**(-2) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -388770, -0.6, 0.4, 0.1 in ascending order.\nAnswer: -388770, -0.6, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8458 = -75*a + 66723 + 19844. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34380 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-12))\/((-22)\/264)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w - 575. Let t be m(-41). Which is the second smallest value? (a) -2\/9 (b) t (c) 0.06 (d) -2\/7 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/15, 1, 20, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 239\nAnswer: -68\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 2078.\nAnswer: -1662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 1:50 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25 = -31. Let h be -1 + 12\/10 - (-336)\/70. Solve 16 = -3*x + h*q - f, 12 = 4*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 0) + (-32)\/(-2) + (-29 - -22).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + -71. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19)\/(-3) + (1 + 2)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -16377587 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551 - 5*v + 552 + 18*v - 1103.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -91. Suppose -5*k + 0*k + 2*a = -o, 9 = k - 5*a. What are the prime factors of 1*-3 + k\/32*100?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*(5*o + 1 - 1) + (4*o + o - 4*o)*(o - 2*o + 0*o) + (2*o**2 + 2*o**2 - 2*o**2)*(-3 - 1 + 2).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b = -5. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7928 (base 10) to base 2\nAnswer: 1111011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 369160741 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*(-148)\/1221)\/((-6)\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4738080.\nAnswer: 1\/789680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 65 + 25 = 0. Suppose 2*k - 4*k - 14 = c*o, -5*k - 16 = 3*o. What are the prime factors of 0 - ((-6)\/o + -14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:19 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133.1 + 133. Which is the biggest value? (a) -3\/7 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14932 - 17051. Is o less than -2115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/((-1683)\/238))\/2\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.82309 + -2161.54391. Let i = y + 2203.5570122. Let h = i + -0.19. Round h to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 22*m**2 - 20*m + 70. Calculate d(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7 = -d - 10*l, 4*d - 32 = -l. Solve 0 = 8*g + d + 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m + 183 - 7377 - 5286 = -497*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 2*y**3 - 5*y + (-2 + 2 + 2*y**2)*(1 - 1 + 2*y) + (-32*y**3 + 11*y**3 - 6*y**3)*(19 - 2 - 3) - 4*y**3 - y**3 + 7*y**3.\nAnswer: -370*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 - -132. Factor 4\/5*g**5 + 0*g + 3*g**4 - 1\/5 + n*g**2 + 4*g**3.\nAnswer: (g + 1)**4*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3079 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 7250 + 7250.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -235 (b) -2\/39 (c) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6678667, 26714665, 60107991, 106858639, 166966603, 240431877, 327254455, 427434331?\n\"Answer: -v**3 + 6678670*v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11078.\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.38 + 23.78. Is v != 0.524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/11, 11317872 in decreasing order.\nAnswer: 11317872, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unn when three letters picked without replacement from {g: 3, n: 3, z: 6, u: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213112452 + 3?\nAnswer: 213112455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 30*q**2 + 65*q - 18. Let p be l(28). What is the highest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.854 + -0.154. Let k = n + -6.700066. What is k rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let o(l) = -57*l**2 - 27. Let c(a) = -8*a**2 - 4. Let i(z) = -27*c(z) + 4*o(z). What is i(m(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 2 h when four letters picked without replacement from hoonoihnphnonnoov?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1750.3 + 1829. Let r = j + -79. Put 3\/5, 0, -4\/7, r in ascending order.\nAnswer: -4\/7, r, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 47*y**2 - 6*y + 286. Determine m(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21) + (-407)\/(-77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Suppose -4 = -q - s. Is 6 a factor of 1 - (-2)\/q*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.1, 1, -0.5.\nAnswer: -19, -0.5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -1, 2.\nAnswer: -123, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 1.11. Let q be 4\/6 - 1128\/18. Let u = -182\/3 - q. Is u >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002651 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:05 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62\/8)\/((-1)\/(-4)). Let u = -19 + i. Let w be (22 + -4)*(-1 + 2). Calculate the greatest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*g + 20. Suppose 2*j - 3*r = -1, 0 = -5*j - 2*r - 23 + 49. What is the greatest common divisor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-4 + 34 + -30 + 15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:08 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2\/9, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 + 171. Solve -j + 4 = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1172*q**2 - 4784*q**2 + 271*q**2)*(-3*q + 3*q + 2*q).\nAnswer: -11370*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + -136. What is the remainder when 99 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -11\/4, -0.14, 30, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3049\/344 + -1\/86. What is the common denominator of 43\/11 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1109 or 1101?\nAnswer: 1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaxxvcyxcxbyav. What is prob of picking 1 c, 1 b, and 1 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/3878818?\nAnswer: -3\/3878818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*v + 38, 23*h - 20*h = -2*v + 25. Solve 0 = v*p + 3*p - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.019, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6401*p - 549 + 549 - 277*p to the form c + g*p and give g.\nAnswer: -6678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 plus 12581943.43185?\nAnswer: 12582475.43185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 11223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 742610.3 meters in micrometers?\nAnswer: 742610300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10694a + 8?\nAnswer: 106957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 + 4*i + 10. Let y(j) = 2*j**3 - 5*j**2 + 8*j + 19. Let x(z) = 9*l(z) - 4*y(z). Let u be x(6). Solve f + u*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 14)\/((-2)\/(-254)). Let r be (-3)\/(-7) - w\/(-35). Let m = r + 180. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -55*b - 1. Let a(c) = c**3 + 2*c**2 - 2*c + 1. Let f be a(-3). Let g be t(f). Suppose u - 29 = -5*o, 3*u + 6*o - g = 2*o. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 26088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -16.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003124 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*t = 5, -3*r = 4*t - 5 + 2. Let y be (1\/4)\/(-1 - r). Which is the closest to 5? (a) 4 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8.42, 15, 0.5, 1, 2\/9?\nAnswer: 8.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let i(p) = -4 - 4*p + 5*p**2 - 1 + 12*p - 6*p**o. Let z be i(7). Solve k = -z*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 2*r + 4. Suppose -3*j - 7 = -4*f, 3*f = -j + 4*j + 3. Let b be (-42)\/f + 3\/2. Let w(v) = -7*v**2 + 5*v - 9. Calculate b*o(y) - 4*w(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -5 (c) 41478 (d) 5 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1561\/15 - 104. Let a(w) be the second derivative of 0 + 0*w**4 - 3*w + x*w**6 + 0*w**2 + 0*w**3 - 1\/21*w**7 + 0*w**5. Factor a(f).\nAnswer: -2*f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -17*o + 3. Suppose -12 = -4*f, 9*f - 89 = -4*r + 10*f. Suppose r*j - 63 = 29. Let x(g) = 6*g - 1. Determine j*y(d) + 11*x(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1106*m**2 + 16*m + 11. Let g(k) = k**2 + k + 3. Let b(c) = 7*g(c) - s(c). Find the second derivative of b(h) wrt h.\nAnswer: 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13721*l + 1 + 14096*l + 3433*l - 27009*l - 19500*l.\nAnswer: -42701*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 122\/18 + (-10)\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-2*v + 3*v - 2*v + 3).\nAnswer: 4*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -21*q - 362. Let i be l(-17). Which is the closest to 1? (a) -3\/17 (b) -1\/4 (c) -2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2391*s + s**2 - 3*s**2 - 2317*s)*(4 - 2 + s + 0).\nAnswer: -2*s**3 + 70*s**2 + 148*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 2 - -2)\/2. Suppose s = 2*i + 6*z - 2*z - 4, -i = -2*z + 18. Which is greater: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 176540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930674?\nAnswer: 2, 465337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -2 - (4 - 6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 + i + 14. Let b be (0 - -2) + 18\/(-9). List the prime factors of s(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*l + 4*j - 2, 20 = 2*l + 4*j. Let k(u) = 6*u**2 + 25*u**2 - 5*u**l. Let t(p) be the second derivative of p**3\/3 - 4*p - 1. Calculate t(k(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29531121, 29531143, 29531177, 29531229, 29531305, 29531411, 29531553?\n\"Answer: g**3 + 15*g + 29531105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/4, 4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*v + 1\/3*v**3 + 0*v**2 + 0 + 1\/3*v**4 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 13*z + 7*z**3 - 11*z - 4*z - 3*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1209 and -32669\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1))\/3 - 459. Let f = u - -3219\/7. Put -4, f, 1\/4 in increasing order.\nAnswer: -4, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109712\/759 - 3185\/22. Find the common denominator of u and 95\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28152, -225042, -759444, -1800114, -3515808, -6075282, -9647292?\nAnswer: -14400594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*d - 169 - 677. Solve d = -2*y - 5*x, 0 = x + 1 + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -481, -1596, -3761, -7324, -12633?\nAnswer: -20036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1549996 and 197?\nAnswer: 1549996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -792 = -793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 2 d when four letters picked without replacement from dbiibdfr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*k - 9. Suppose m - k = -0*m. Find the second derivative of -o + o + m*o - 3*o + 2*o**2 wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2\/5 + 13093*y\/5 - 149946.\nAnswer: (y + 2238)*(6*y - 335)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f. Let d be n(3). Let w = d + -13. Suppose -6*z + w*z = -57. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-6)*(1407\/(-105) - -14) - (-1 - 81)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2109*p + 2139*p - 1193*p - 122589 = 97371 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:14 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6394486 and 0.3?\nAnswer: 6394485.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 227835345561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/130)\/((18\/(-1800)*-25)\/(-3))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -7 - 3\/13. Let z be (-8)\/36 - (-226)\/936. Let h = z - j. Which is the nearest to h? (a) -3 (b) -1\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 758095 or 0.203?\nAnswer: 758095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1143 and 7747.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 13*l**2 + 10*l. Determine g(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 161*b - 219*b - 267*b.\nAnswer: -628*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 - 273*f**4 + 7911*f**3 - 71751*f**2 + 19758*f + 394272 = 0.\nAnswer: -2, 3, 16, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3091 divide 312252232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let h = -6 + 10. Let x(q) = -4*q**2 + 3*q**2 + h*q**2 - 4*q**2. Calculate u(x(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*v + 133 = -0*v, -379 = -5*w + 3*v. Suppose -41*f = -42*f + w. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-30)*2). Suppose -2*k = 3*c + c - 18, q*c - 12 = k. Suppose 4*d - 335 = -k*m, 2*m - 231 = 4*d + d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203.9 - 203.4. Sort -11\/24, w, -1 in descending order.\nAnswer: w, -11\/24, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51379 + 50961 = 22*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*w**4 - 4*w**3 - 196*w**2 - 2*w wrt w?\nAnswer: -336*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoorjccjrgjogcrhgg. Give prob of picking 2 o and 2 r.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -52?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86670 and 180.\nAnswer: 173340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220342 and 786.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17835*p - 338871. Determine z(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114602 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: Put 4, -254, 13, 3, 2, 0 in decreasing order.\nAnswer: 13, 4, 3, 2, 0, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127, 152, 195, 256, 335, 432, 547?\n\"Answer: 9*t**2 - 2*t + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - o**2 + 0 + 3*o**2 - 3*o**4 - 1 + o**2 in the form c*o**2 + b*o**3 + a + g*o + l*o**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-30)*-80*7\/(-672).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64463 - 24064. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + 5*f - 5. Let d be o(5). Let r = -56.5 - -56. What is the biggest value in -1\/7, r, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -83, -122, -161, -200?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*g + 331*g + 328*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 934, 71, -3, 4 in descending order.\nAnswer: 934, 71, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 1534716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*g**2 + 6*g**5 + 2*g**3 + 21*g**5 - 20*g**2 - g**3 wrt g.\nAnswer: 1620*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -210 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 - 3*m**3 - 9*m**2 + 15*m - 6 = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 3661779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385885238 divided by -4.\nAnswer: -192942619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(-7 - (-94)\/12). Suppose -o*x = p - 158 - 3520, x - 734 = -p. Does 46 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*u + 54, -2*a = -3*u - a + 38. Suppose u + 336 = 2*k - 3*v, 0 = -k + 4*v + 186. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6267, 12578, 18963, 25458, 32099, 38922?\n\"Answer: 6*p**3 + p**2 + 6266*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2. Let h be m(5). Let g = -3 + h. Let p(l) = l**3 + 5*l**2 - 5*l + 15. Let i be p(-6). Solve -33 = -5*o - g*x, 8 + i = 3*o + x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 4*n - 6*n + (0 + 2 + 0)*(-2*n + 5*n - 4*n) + 399*n - 4001*n + 157*n.\nAnswer: -3449*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(50)*-3)\/sqrt(10)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2187 + 169 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 51 - (5422 + -5497).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734, -2381, -4016, -5633, -7226, -8789, -10316?\nAnswer: -11801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -1\/3*c**2 + 8*c - 23\/3 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3716996 kilograms to milligrams.\nAnswer: 371699.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(((-525)\/(-2))\/(-25)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -492641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 28*f = 36. Let z = -0.05 - 0.25. Sort -1, z, f.\nAnswer: -1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 15, -10, 1 in descending order.\nAnswer: 15, 1, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r - 6*r - 9 + 2*r + 3*r**3 + 3*r**3 - 5*r**3 + (3 - 2 + 0)*(4*r - 2*r**3 - 4*r) + 2 - 2*r**3 - 2.\nAnswer: -5*r**3 - 2*r - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(40) - -4*sqrt(120)\/sqrt(3) - sqrt(40))\/((sqrt(275)\/sqrt(5))\/sqrt(11)))**2.\nAnswer: 16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483 - m + 3712 - 3*m - 502.\nAnswer: -4*m + 3693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 6*v**2 - 6*v + 29. Let j = -696 - -702. Calculate n(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780448 by -29.\nAnswer: -26912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 30*r + 38*r - 111*r + 34*r + 32*r in the form p*r + f and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396739 and 1094191?\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8810*b + 6 - 1 - 9003*b to the form y*b + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153467275?\nAnswer: 5, 13, 19, 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 0.49 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1849063ml in litres?\nAnswer: 0.0001849063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9162 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Let d(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 2*c + 3. Calculate d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*k + 194*k = y - 45, 26*k = 2*y + 18 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(2 + (-14)\/4). Let k be 5\/(-3 - (-2 + -2)). Suppose 4*r + b*p - 4 = 2*r, k*p + 20 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/822 and 81\/10?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43020 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/16 + 3\/4. Suppose -m = -7 + 3. Suppose 4*g = -5*n - m + 41, 0 = -q*g - 10. Calculate the remainder when 17 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2847 and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let i be (2 - (h - 1)) + 1. Suppose 2*m + 5*m - 14 = i. Solve -3 = -m*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*j + 472 + 1333 = 0, 2*u - 704 = 2*j. Suppose 5*d = 5*k + 278 + 327, -u = -3*d + 5*k. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 716 = 3*y + 719, -5*y - k - 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 687927 times 2\nAnswer: 1375854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by -2 + (225\/(-100))\/((-6)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151254 (base 9) to base 11.\nAnswer: 63799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o + 0*o + 2*o. Let s(l) be the second derivative of l**3\/6 + 18*l + 1. What is x(s(p))?\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.12 (b) 0.4 (c) 2\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 108. Let u(a) = -3*a + 54. Let b(o) = 6*p(o) + 10*u(o). Let n be b(9). Which is bigger: -2\/151 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -108 and 7220967.98968.\nAnswer: 7220859.98968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521124864.\nAnswer: 2, 3, 13, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18879137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -6.\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 95.7. Let t = d - -4.300037. Round t to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 + 3228*i**2 + 633132*i - 7360364 = 0.\nAnswer: -409, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:50 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*u - 48*u + 11085. Suppose 14*d - 3049 + u = 0. Is d a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8 + 138\/48. Suppose l*y - 3 = 3*t, -t + 4 = y + 3. Suppose 2*a - 486 = 4*j, t = -5*a + 4*j - 5*j + 1204. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = -x, 3*x = -u + 15 + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 - 13*j + 13. Let b be y(9). Let l = b - -40. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 5*j**2 + 3*j + 1. Let z be h(-3). Let v be (-10 - -11)*(-13)\/(-1). Let r = v - z. Solve 0*o = -r*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*b**2 + 0 + 0*b + 12\/19*b**3 - 18\/19*b**4 + 8\/19*b**5.\nAnswer: 2*b**2*(b - 1)**2*(4*b - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323 times -166?\nAnswer: -53.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 7*j**2 + 9*j**2 - 360 + 58 + 8*j**2 - 14*j**2.\nAnswer: 2*j**2 - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7944 - 616 = 646*v + 1682 - 5982 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 344 = s. Let o = s + -52. Suppose 2*t - 620 = -o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:04 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5 and 67\/4394746.\nAnswer: 21973730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*u - 16 = 0, z + 6 = 2*z - u. Let y(m) = 2*m**2 - 8*m + 2. Let i be y(z). Suppose -i*d - 3*d = -255. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, t: 2, i: 1, j: 7, c: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2\/7*d**3 - 58\/7*d**2 + 0 + 0*d = 0?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21064657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1890ead?\nAnswer: -1890eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-36) + (-125)\/(-45). Let p be (66\/(-7))\/(n\/21). Let v = -41 - p. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-620)\/(-12) + 2\/6. Suppose -8 = -4*j + f. Solve -3*w + j + 7 = -2*r, w + 1 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(171) + sqrt(1900)*3 - ((-6*(sqrt(209) + (sqrt(209) - (sqrt(209) + sqrt(209)*-1))))\/(sqrt(1100)*-2 + sqrt(1100) + sqrt(11) + sqrt(11)))**2.\nAnswer: -187\/4 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -380*p - 3027. Let i be z(-8). Solve -3*s + 16 = 3*w + 19, 5*w + i = 3*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77114 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374468489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (60\/8 + (-5)\/(-2))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-16) - 13830*7\/(-56)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185715940 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189930.\nAnswer: 2, 3, 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = j + 25, 2*j = -0*h + h - 8. Let r(z) = 7 - z + 8 - h. Let p(v) = -5*v + 7. Calculate -p(o) + 4*r(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3 - 27. Let j = 13\/230 + -551\/1610. Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(10 - 8 - 11) + 6 - 2 - 1)*(-r + 0*r - r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 23960675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.048 * 0.03\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151157.\nAnswer: 151157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -22*s - 4. Let h be d(-8). Suppose -2*k + h = 10. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((6669\/(-18))\/19 - -5). Solve -11*j - h = 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265\/63 - -31\/7. What is the fourth biggest value in 0.03, -2\/19, r, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*j - 3*j - 21 = 0, 0 = -5*j + 15. Is p greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275 - 22*i**3 - 275)*(1 - 6 + 3 + (2 - 1 + 0)*(4 + 2 - 4) + 1 + 0 - 3 - 1 + 4 - 1 - 3 + 5 - 3 + 31 - 35 + 46).\nAnswer: -902*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 16 - 16 + 2*t**2. Let w(k) = 2*k. Give w(r(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21686251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(6160\/(-1024)) + (-3)\/(-15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 - 537. Let i = 128 + v. Calculate the common denominator of 65\/(-858)*i\/(-2) - -2 and 69\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(21\/(-6))\/(-7). Solve 2*m + 1 = f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m - 7*x + 77 = -26*m, -m = -2*x - 66. What is the remainder when 1733 is divided by m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51\/10 + 18\/5. Let k = -7.1 + 6. Let j = 1.2 + k. Which is the nearest to j? (a) 0 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - -3.33. Let p = 6.2 + x. What is p rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -36*o - 79. Let c(k) = -10*k - 21. What is 11*c(z) - 3*t(z)?\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c. Let s(p) = 146*p**2. What is -2*g(u) - s(u)?\nAnswer: -148*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + m - 5*m + 2*m + 6 to t*m + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 <= 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0\/u*u)*u\/(u\/u**2)*(u**(2\/5))**(-46))**(5\/8))**(-5\/4) assuming u is positive.\nAnswer: u**(385\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 13*n**5\/5 + 2*n**3 - 466*n + 197. What is the derivative of p(s) wrt s?\nAnswer: 52*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 4 - 1 - 8*b**2 - 4 + 4*b**3 - 2*b**3. Let k be n(5). Suppose k*x**3 + 8*x + 0 - 22*x**3 - 4*x**2 + 4 = 0. Calculate x.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -108. Which is bigger: h or -11\/16?\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 + -194. Let o(u) = u**3 + 16*u**2 + 5*u - 28. What are the prime factors of o(i)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 228509240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 3*w**2 + 9*w + 7. Let q be x(5). Suppose 0 = -4*m - q*z + 4*z + 42, 5*m - 30 = -2*z. Solve 3*j = m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 11. Let b be -1*(1 + -2)*c. Let o = -942 + 944. Put b, o, 5 in descending order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 88 = 48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071138268 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.57. Let a = 0.46 + -0.06. What is the third biggest value in 2, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 533, 1991, 4833, 9521, 16517?\n\"Answer: 77*n**3 - n**2 - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4768632 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -142, -0.2, 4, -80?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59\/3 - -19. Suppose -2*c - 3*v + 11 = 0, -5*c + 3*v + 10 = 7*v. Is c smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -0.01 (c) -41039 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3)\/3*418. Let s be (-2)\/(-1 + 0 + t\/428). What is the tens digit of s - 0 - (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -646 + 638 + (-10 - (-1 + 0 + (2 - -3))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -40287*n + 3091. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*l**4\/17 + 44*l**3\/17 - 6*l**2\/17 = 0. Calculate l.\nAnswer: 0, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y**2\/7 + 40126644*y\/7 + 24075990\/7 = 0.\nAnswer: -3\/5, 4012665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.37235 meters to micrometers.\nAnswer: 94372350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejvw when four letters picked without replacement from {v: 1, j: 1, w: 1, e: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 60378945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35709 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465973 is divided by 12248?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 801111 + 801111. Let p(g) = -5*g**2 + 1246. What is p(f(z))?\nAnswer: -5*z**2 + 1246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5899340*k**2*o**3 - 17*k**2*o**2 + 14*k**2 - 5*k*o**2 + 4*o + 7 wrt o?\nAnswer: 35396040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f. Suppose -8 = -2*o + 2. Suppose 0 = 5*t + o. Determine d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2733490748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -622.984 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166738, -329320, -491902, -654484, -817066, -979648?\nAnswer: -1142230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 9*h**2 - 14*h + 2. Let l be s(7). Let v = l + 2. Is (v\/6)\/(26\/975) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15220 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 1b84?\nAnswer: -1b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111044.\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 13. Let n be t(0). Let w be (-15396)\/(-26) + (-2)\/n. Suppose -6*d + w = -152. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212 - 1140 = 588*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let b be 3 + (4\/h - -3). Suppose -3*t = -2*d + 17 + 4, t = b*d - 17. Solve -5*k = -5*u - 0*k - 30, -k = d*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17320862?\nAnswer: 2, 13, 666187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -12 + 1. Let x be (1 + -5)\/((-2)\/2). Suppose 2*o - 3 = x*g + 19, -5*o = g - k. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -538, -559, -580, -601, -622?\n\"Answer: -21*a - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -23. Let u be (1 - 0)\/((92\/(-96))\/23). Let w be (1 - -1)*(104\/u + 4). Sort w, -5, 0.5, o in decreasing order.\nAnswer: 0.5, w, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, -5, -0.4 in increasing order.\nAnswer: -5, -0.4, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**5\/40 - 2*a**4 - 65*a**3\/3 - 84*a**2 - 499*a - 1. Let f(o) = 0. What is o?\nAnswer: -42, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 301*y - 3*y**3 - 167 - 44 + 308*y - 608*y as o*y + f*y**2 + z*y**3 + k and give k.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2866 - 2906. Which is bigger: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -2104444?\nAnswer: -2104424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(3 + sqrt(2) + 0 - (-1 + 0 + sqrt(2))))**2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5*x**2 - 4126*l**4*x**3 - 2*l*x**3 + 17948*l*x**2 + l*x wrt l.\nAnswer: 40*l**3*x**2 - 49512*l**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6040757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(-15)*110\/4. Let z = w + 24. What is the nearest to -1 in -5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0*o)\/(o\/(o\/o**(-5\/2))))\/(o**(-2\/3))**(2\/95))\/((o**(-1)*o)**(-1\/44)\/(o\/(o*o**(4\/7))*o**(-2\/9))) assuming o is positive.\nAnswer: o**(32563\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 2*a + 4. Suppose -16*z - 21 = -23*z. Let f(q) = q**2 + q - 4. Let r(i) = z*f(i) + 2*u(i). What is r(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 135*w - 258 = 0. What is w?\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-152 + 118 + 66)*(90*z - 4007 + 4007) + 3*z - 2*z - 2*z + z + 1 - 1)*(3 + 2*z - 3) in the form s*z**2 + w*z + l and give s.\nAnswer: 5760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let w(k) = 2 - 2 - 1. Let d(m) = -m + 3. Let s be (0 + 4)*(-1)\/2. Give j*w(g) + s*d(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -6 - 2. Suppose y + v = 6. Suppose 2*m - 10 = 0, -6*r + y*r - 5*m = -23. Sort r, 3, 1 in ascending order.\nAnswer: r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007368197 rounded to five decimal places?\nAnswer: -0.00737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18223*l + 9110*l + 2528 - 4419*l**3 + 9113*l with respect to l.\nAnswer: -13257*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0694 + 0.0694. Sort -27, d, -2 in decreasing order.\nAnswer: d, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s)**(29\/2)*s**(2\/31)*s*s**(-3) assuming s is positive.\nAnswer: s**(-11807\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61985*t**5 + 1606*t**2 - 35*t wrt t?\nAnswer: -3719100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -115 (c) -2\/7 (d) 26 (e) 0.057 (f) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3389*g - 23 + 1693*g + 1694*g.\nAnswer: -2*g - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470190.\nAnswer: 2, 3, 5, 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 15) in base 3?\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/4171524 and 19\/31858.\nAnswer: 70915908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -4\/5, 2\/301?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/4137 and 13\/54.\nAnswer: 74466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(90)\/sqrt(6) - sqrt(15)) + sqrt(15) + sqrt(15)*1*6 + sqrt(15))\/(-2*sqrt(108)*5 - -3*sqrt(108)*-3).\nAnswer: -4*sqrt(5)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22000211201 (base 3) to base 14.\nAnswer: -41873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298980.958930904 + 2.\nAnswer: 298982.958930904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1369, -1515, -1661, -1807?\n\"Answer: -146*y - 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) -16.989507 (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Suppose k - 3*k = x. Suppose 2\/5*h**4 + 4\/5*h**3 + 0*h + k + 2\/5*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-261)\/(13311\/153))\/(-1*1\/16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3211, 2362, 1081, -632, -2777, -5354, -8363?\n\"Answer: -216*j**2 - 201*j + 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -305 + 488. Suppose 5*m + 68 = v. Let k = -21 + m. Solve t + 4 = b + k*t, 4*b + 5*t - 17 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2480463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 + 2) - (0 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -1 (c) -2\/65 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57515718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1255 = 13*q + 1294 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from lekek.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1630 + -499. Is 8\/(-3)*b\/(-52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1226.1 - -1226. Which is the nearest to -1\/6? (a) 1\/12 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 17*r + 20 + 14*r + 19*r.\nAnswer: 16*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 379\/2805 - 1\/561. Let f(q) be the third derivative of -q**2 + w*q**5 + 1\/6*q**3 + 0*q + 0 + 0*q**4. What is the first derivative of f(l) wrt l?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 30. Suppose b - g = -2*b. Let v(j) = 10 - b + j - 2. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 340024879 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + 0.43. Put 1\/5, 0.5, s in decreasing order.\nAnswer: 0.5, s, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110648?\nAnswer: 2, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105*-0.666\nAnswer: 69.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*10*28\/175.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 2, e: 6}. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2640)\/(-432))\/((-125)\/(-675))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82818800 a multiple of 788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*q + 60, -w - q - q + 18 = 0. Suppose -2*g - 4*j = -w, 0 = -g + 3*j + 1 - 2. Factor 2\/5*b**3 - 2\/5*b**g + 0 - 4\/5*b.\nAnswer: 2*b*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(180)*5 + -1.\nAnswer: -90*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18676706, 1, 4?\nAnswer: 18676706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125907.3 centimeters in meters?\nAnswer: 1259.073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 7 + (-20 - -19) + 23 - -32\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 31.\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128130385 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 15. Let a = 6.008 + s. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.7249613.\nAnswer: -0.21748839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*s**2 - 15*s**2 + 39*s**3 - 37*s**3.\nAnswer: 2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*z = -24, 3*o = -2*z - 4 + 25. Suppose -x - 5 = 5*m - 2*x, -15 = -o*m - 3*x. Solve m*j - 3*j - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256431 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2450*l**2 + 12*l + 21. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71648039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -10. Let j(z) = -z**2 - 9*z - 17. Let p(c) = -2*c - 4. Let y(s) = o*j(s) - 9*p(s). Find the first derivative of y(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j - 156*j - 72 + 33*j + 35*j + 26*j + 36*j.\nAnswer: 2*j - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 140*o + 3379. Let m be g(31). Factor 0*t - 5*t**3 - 5\/3*t**2 - 5\/3*t**5 - 5*t**4 + m.\nAnswer: -5*t**2*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10312559 is divided by 4553?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*v - 2*w, 2 + 3 = -4*v + w. Let y be (-2)\/(-4)*18\/(-15). Put 0, y, v in decreasing order.\nAnswer: 0, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 3\/2*s**2 - s - 1\/20*s**5 + 0*s**4 + 0 + 0*s**3. Find the first derivative of k(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409032 by 1311.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -684 and -684 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -800482720?\nAnswer: 800482714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 18823?\nAnswer: 18816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/13 - 1132\/585. Let z = 1.6 + 0.4. What is the smallest value in -3\/7, -3, h, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5327524 - 2663765 - k - 2663759.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 5 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 222*y + 548250. What is the highest common factor of 1190 and y?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:19 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191600 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50610 - -50850.37. Let j = 0.0137 - 239.0137. Let p = q + j. What is p rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhzhzzihhi. Give prob of picking 3 z and 1 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4\/9 (c) -0.1 (d) -21 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*g - 227, 3*g + 369 + 111 = 2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767611011?\nAnswer: 3, 2677, 95581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 3. Sort w, 5, 3.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 816, 3599, 8406, 15321, 24428?\n\"Answer: 14*y**3 + 928*y**2 - 99*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.3, -2\/9, -5.9, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - (4 + sqrt(11) + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 8)*(2 - 1 + 1)*(-60 + 27 - 35)*(5 - 5 - x)*(0*x**3 + 3*x**3 - 6*x**3).\nAnswer: -816*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821.3915 decades to months.\nAnswer: 98566.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 2 - 30) + (-17 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.702, 3, 2, 0.3, -2?\nAnswer: -0.702","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985846494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-6*(sqrt(144) + sqrt(9)) - sqrt(9)))\/(-1*(-1*sqrt(4)*5 - sqrt(4))).\nAnswer: -sqrt(5)\/186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g - g - g + 0*g - 7 - 2*g**3. Let l(n) = -n**3 + 3*n - 6. Let i(c) = 2*f(c) - 3*l(c). What is i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45a5 - -3?\nAnswer: 45a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.08004 + -40186.3\nAnswer: -40186.21996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 - -6.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 134173415 to the power of 1\/2, to the nearest integer?\nAnswer: 11583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4*s**4 - s**4 - 7*s**4).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -389.5 + 389.41529. Round t to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) -29.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -39934, -4, -18.6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-32)\/(-6))\/((-6)\/9). Suppose -w*h + 0 + 9 = 0. Solve -6*v = -h*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/271, -1\/3, -3, -0.025, 47, 4\/3, 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 195*q**3 - 650*q**2 - 840*q.\nAnswer: 5*q*(q - 4)*(q + 1)*(q + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.1, 206756, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, 9, -28, -6 in descending order.\nAnswer: 9, 2, -2, -5, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 270*u**3 - 9 + 89*u**3.\nAnswer: -181*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**3 - 14*j**3 + 33*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488\/(-96) - 48\/(-144).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 2*t - 2*t + (t**2 - 4*t**2 + 5*t**2)*(-4 + 2 + 1) - 4 - 2*t**2 + 4 + 0*t**2 + 3*t**2 - 2*t**2 + 43*t**2 - 36*t**2 + 121*t**2.\nAnswer: 127*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-1 - 6)) + 6 + 6. Solve -j = -5*w - k, 5*k + 9 = 4*w + 2*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.3. Let w(h) = -2*h**2 + 2*h - 2. Let q be w(1). Which is the second biggest value? (a) q (b) 3\/7 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/((-984)\/72 - -14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 51 = -136. Suppose -20*p - 22015000 = t*p. What is p rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 1320.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*n = 7, 33*n = -2*s + 32*n - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -12 + (-3 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 802979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t**(-14))\/t)\/t)**6 assuming t is positive.\nAnswer: t**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-273)\/(-70) + -4)\/((-8)\/132760). Which is smaller: g or 1660?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 6. Let p be 1\/(-4) - 405\/60. Let l be a(p). Let j = l + -3. Calculate the highest common factor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 4044\nAnswer: -28308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.549988kg to milligrams.\nAnswer: 549988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*2 + sqrt(11) + -3)**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*h*n**2 + 1562*h*n - 1859841*h wrt n.\nAnswer: -28*h*n + 1562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-45)\/(-12)))\/((-8552)\/(-3207)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 23*p - 18*p**2 - 36*p**3 + 87*p**3 - 17 - 50*p**3. Let g = 15 + 2. Let d be a(g). What is the highest common divisor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) - (sqrt(70) + 1*sqrt(70))*-2 - ((2*sqrt(70) - sqrt(70))*-1 - sqrt(70))))\/((sqrt(120)*-1*3)\/(sqrt(12) - -1*sqrt(12)*2)).\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44342114 (base 7) to base 4\nAnswer: -32211332003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -3. Let i = h + -5. Solve 2*r + z = 0, -4*z + 4 = -i*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 596*v**2 - 595*v**2 - 16*v - 16*v - 9 + 34*v + 8*v**3 as u*v + k*v**2 + t*v**3 + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 33*g - 715. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -9 in descending order.\nAnswer: 3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/(b*b*b**(-2\/9)*b))*b)*(b*b**5*b)\/b*b)**(-18)\/(((b\/((b*b**(-4\/9))\/b)*b)\/b)\/b*(b**(1\/7)\/b)\/b*b*(b**4\/b)\/b*b**(-8)) assuming b is positive.\nAnswer: b**(-3250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from adyaupyuaddyaudyaydy.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 10*j - 5. Let q be d(9). Suppose -2*b = q*x - 153984, 4*x = -3*b - x + 230980. Round b to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-64)*16\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7997 + -7996. Which is the nearest to k? (a) 88.7 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (492\/80 + 3\/12)\/((-87)\/(-331905))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 6927*f + 1248192.\nAnswer: 3*(f - 2112)*(f - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23908 is divided by 5976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Let u(b) be the third derivative of -b**4\/24 - 5*b**3\/2 + 2*b**2. What is u(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) -46 (d) -13.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/4? (a) 2 (b) 0.3 (c) -5 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 6*y**2 + 2*y + 6. Let h be j(-4). Let l be ((-24)\/(-40))\/(1\/505) + -3. Calculate the highest common factor of h and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 185 + 0 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 - 6*z - 21. Determine x(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240537)\/(-8077)*((-8)\/12 - (-2)\/6) - -10?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4\/3, -3, 3 in increasing order.\nAnswer: -3, -0.4, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06521 not equal to 1371\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-100))\/(2\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**5 + 2815*h**4 - 381070*h**3 + 1056620*h**2 + 8268360*h - 8946720 = 0?\nAnswer: -4, 1, 6, 218, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ggkkkkikikkgkkkkk?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1023 (base 5) to base 15\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3651115 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i - 37. Suppose 2*q + 5*a + 43 = 0, 0 = 5*a + i - 12. Let b be ((-6)\/52)\/(q\/12). Sort b, -2, -1\/6 in ascending order.\nAnswer: -2, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 - 8*b + 9. Let q be g(-7). Let y = q - 13. Suppose -3*d + y*l + 9 = -15, -d + 2*l = -11. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1*-4)\/(sqrt(11) + (sqrt(77) + sqrt(77)*2)\/sqrt(7)))\/(sqrt(18)\/(sqrt(600)*1)*-6).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(2*sqrt(128)) + sqrt(3) + -2 + (sqrt(3) + 2 - sqrt(3)) + ((sqrt(15)\/sqrt(5) - sqrt(3))*5 - sqrt(3) - sqrt(3)).\nAnswer: -7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -15. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose 0 = -f*b + 5 + 3. Solve 0 = b*t + 4*m - 16, -2*m - 7 = -5*t + 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18999 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 7) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55 - 190123*i**3 + 318 + 189998*i**3 wrt i?\nAnswer: -375*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/273 and 88\/75?\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 305, -5, 4 in decreasing order.\nAnswer: 305, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85047508 by -8.\nAnswer: -21261877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 221644557.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:54 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 10*z**2 + 21*z + 54. What is a(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/24 + 0 - (-18)\/(-9). Let j(v) be the third derivative of 3*v**2 + 0 + t*v**4 + 0*v**3 - 1\/30*v**5 + 0*v. Factor j(q).\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*-3 + 1*1*sqrt(325))**2.\nAnswer: 6877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.0274km in meters?\nAnswer: 787027.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**2 + 0*k - 1\/24*k**4 + 0 + 0*k**3. Let w(c) = -2*c**2. Give w(i(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*x = -75*x + 594. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 0 + 3*l**3 - 4*l**3.\nAnswer: -l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1653 + 6530*d**2 - 1653.\nAnswer: 6530*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (5*3*(sqrt(288) + -2) - 3*(sqrt(288) + 2*sqrt(288))*-1)).\nAnswer: -576*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + -101 + 105.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*g*k**3*w - 2649296*g*k**3 + 695*g*k*w with respect to w.\nAnswer: -23*g*k**3 + 695*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941305433?\nAnswer: 3, 41, 1499, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 + 268. What is the smallest value in -1\/5, m, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*o - 82*o + 8*x - 52, 2*x = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*134\/(-804))\/((-2930)\/(-6)).\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 4\/5 (b) -4 (c) 0 (d) 2705 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 (base 16) in base 4?\nAnswer: -111321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 11*s + 62. Suppose 5 = -5*y + 5*l, -5*l + 23 = -0*y + y. What is the smallest common multiple of y and m(13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1 + 7. Let j(q) = q**2 - w + q + 1 - 3. List the prime factors of j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 - 5*i + 36*i**3 + 5*i - 20*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 43*n**2 - 2*n. Let y(c) be the third derivative of c**5\/30 - 4*c**2 - 13*c. What is f(y(l))?\nAnswer: 172*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) 1\/4 (c) 4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 400605644 = -822194356. What is k rounded to the nearest 1000000?\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(42\/(-4))*57045030\/(-191748)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 134002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3621308 to two decimal places.\nAnswer: -4.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - (-10 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.06 + -6. Let z = w + 5.94. Let p = 4 + -3. Which is the biggest value? (a) 0.2 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283436 (base 12) to base 14.\nAnswer: 135d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.3 and 0.08.\nAnswer: 0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69932 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(5\/3)*(a*a**(1\/10))\/a**(2\/5) assuming a is positive.\nAnswer: a**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82817252.\nAnswer: 2, 7, 422537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 38375862 and 153503443\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1240141, -1240152, -1240163?\nAnswer: -1240174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176233.\nAnswer: 29, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2041253 = -q, 16*v - 5*v = q + 5613412. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-22)*(-33)\/(-6) + 3 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7923 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: Suppose -4*w + 3*w = -9*w. Suppose -3*i + 11 = -o, -6*o + 2*o + 3*i - 26 = w. Sort 2, o, 4, 19.\nAnswer: o, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -31, -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -66 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561556 and 3811?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 66, -4 in decreasing order.\nAnswer: 66, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 119 - 28*x**3 + 13*x**3 + 14*x**3 - 506 as t + n*x + z*x**2 + k*x**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 165*a - 526. Is q(-73) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756367.\nAnswer: 193, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 346?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 327492787 and 327492787 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*x + 709589 = 297*x - 222811. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*m + 7 = 2*m, -m = 4*i - 16. Calculate the least common multiple of i and 7 + (-1)\/(5\/(-20)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254423 (base 6) in base 11?\nAnswer: -1635a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = 19*v - 41*v + 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.6 - -92.009. Round o to 2 decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(200) + 1)**2 - sqrt(200)) + 0.\nAnswer: -1224 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 44 = 6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-15))\/(2\/3*(-33)\/550*10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-2 + (-9)\/(-6)). Let w be 3\/(-42) - (-2)\/(-4). Suppose 0 = -4*m - 8. Which is the closest to 1? (a) w (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3520.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-92)\/(1 + -2))\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 12, -2, 95.6 in descending order.\nAnswer: 95.6, 12, 6\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354334094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 18*w - t = -3, t - 13 = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-1\/2))\/y)**34)**(-1\/91) assuming y is positive.\nAnswer: y**(-51\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/8 and 3\/4 - (-2349)\/(-7128).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100235774 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 9:43 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375 + -363. Let i(u) = -2*u**3 - 19*u**2 + 32*u + 10. What is the remainder when i(-11) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6296 + 13*u - 6296.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1489620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 135*y - 11. Calculate z(-2).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76418*v**6 + 29068*v**2?\nAnswer: -9170160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 - -1) + -29 + 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*q + 6632 = 8*r, -5*r = q - 8302. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1.37364\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {u: 1, v: 6, o: 10, r: 1, h: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 86 = -l, 2282*q - 2277*q + 24 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 860*c**2 - 4980*c.\nAnswer: -5*c*(c - 166)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65359*b**2*h**5 - 2*b**2*h**2 + 2*b*h**5 - 21680*h**2 wrt h.\nAnswer: 3921540*b**2*h**2 + 120*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 12320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -785 - -788. Let w(s) be the first derivative of 11 + 0*s**2 + 8\/3*s**h + 0*s + s**4. Suppose w(b) = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.15 + -12.817. Let l = i + -0.533. Which is the closest to 0.1? (a) -1\/2 (b) 3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 5*m**2 + 2*m. Let r(d) be the second derivative of -1\/10*d**5 + 0 + 0*d**2 - 1\/3*d**3 + 1\/2*d**4 - 13*d. Give -3*r(h) - 4*v(h).\nAnswer: -2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1809*r - 658. Determine d(2).\nAnswer: -4276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 942, 1442, 1958, 2496, 3062, 3662?\nAnswer: 4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*t**4 - 42*t**2 + 106*t**2 - 17*t**3 - t**5 - 30*t**2 - 51*t**2 - 6*t = 0. Calculate t.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -67*q**3\/6 - 197*q**2\/2 + 3*q + 3. Is 10 a factor of o(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-12))\/((-2)\/18). Let m(j) = -j**3 - 7*j**2 - 7*j. Calculate the remainder when 17 is divided by m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8*p + 3*z + 29, -p - 4 = 4*z. Let a(r) = 57*r**2 - 1. Is a(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3080 * 1.888\nAnswer: 5815.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:05 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 508\/18 + 6\/(-27). Suppose 18 = 3*q - 3*v, -2 = -3*q - 6*v + v. Suppose -n + 96 = q*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 + 5*w**3\/3 - 3*w**2 - w. Let j be i(9). Is j less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 5. Suppose -4 = -3*l + 2*l. Calculate the remainder when g(-4) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2562.964 and -0.1.\nAnswer: 256.2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -3 - 1)*(33 - (-1145)\/(-35)). Which is the fourth biggest value? (a) 9 (b) f (c) -1 (d) 0 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7))\/x**(3\/5)*(((x\/x**(-1\/5))\/x*x)\/x)\/(x**(-1\/6)*x) assuming x is positive.\nAnswer: x**(11\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418 and 39314.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47594097.\nAnswer: 3, 5288233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(325) + -1 - sqrt(325))**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -373, -230, -87?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 851662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -916 - -915.6. Put -0.02, h, 2, 6 in ascending order.\nAnswer: h, -0.02, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 408 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 52*u**2 + 3156*u + 77659. Calculate c(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z + 17. Give w(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/18 of a day?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t + 2. Let x be u(-6). Let i be 759\/(-2)*(2 - x). Let s = -300471\/22 + i. Find the common denominator of 11\/2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 2*m + 8, 3*m + 25 = 5*o. Suppose o*n + 7 = 45. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (4 - (-2 + 4)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95512119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3466 is divided by 49.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -2\/9, 506.59, 5, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 7. Suppose -2 = -2*m + 3*w, 4*m + g = 3*w - 0*w. Let z = m - -8. Solve -2*d = z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20915\/12 - -1732. What is the common denominator of 25\/2*95\/114 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20 and -104.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3)\/(-12)*-2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15339583 is divided by 12815?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146722.\nAnswer: 2, 2073361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - (60 - 60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -79*n - 17. Let h(d) = -86*d - 15. Give 7*h(b) - 8*i(b).\nAnswer: 30*b + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379*b*d**2*v - 12821*b*d**2 + 251*b*d*v - d**2 - 17 wrt v.\nAnswer: 379*b*d**2 + 251*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9218.2 + -3002.6. Round i to the nearest 10.\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-4 + (-12)\/3). Let k be ((-100)\/(-6))\/(i\/6). Solve 0 = -8*s + 3*s + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -617 + 619. Suppose 288 - 2*r**3 - 174*r - 2*r**2 + 8*r**k + 4*r**3 - r**2 + 15*r**2 = 0. Calculate r.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2504, -4997, -7444, -9821, -12104, -14269, -16292?\n\"Answer: 4*q**3 - q**2 - 2518*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 8*o - 5. Suppose 5*h + o = -84. Let b = h - -33. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 308184 + 1825480 = 261*a. Is a less than or equal to 7138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*u + 26, g + 15 = -2*g - u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**2)\/z*z)\/z**(-1))\/(z**(-1)*z*z**(3\/4)*z*z))\/(((z*z**4*z)\/z)\/z**0)**25 assuming z is positive.\nAnswer: z**(-495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-10 - -7) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85 + 4220?\nAnswer: 4221.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*y + 11 = 0, 2*x + 2*y = 6*y - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 977, 980?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 8 - x**2 + 0*x**2.\nAnswer: x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + 5*p)*(-2 + 2 - 2)*(84*p + 68*p - 1169*p).\nAnswer: 4068*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1545 + -1474. Calculate the remainder when 694 is divided by g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 8. Let b = 16 - 22. Let t(o) = -3. Let r(n) = -1. Let s(m) = -8*r(m) + 3*t(m). Calculate b*s(q) - a(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -4 + 0 + 3. Let c be 1\/r - (-1216)\/57. Suppose c*b + 140 = 28*b. Calculate the highest common factor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10419*g**2*j**3 - g**2*j**2 + g**2*j - 49*g**2 - g*j**3 + g*j**2 - 46*g*j + 4*j**4 + j**3 + 4 wrt j.\nAnswer: 62514*g**2 - 6*g + 96*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*y + 15, 4*s - s - 3*y + 9 = 0. Solve 2*x = j - 4, 2*x = -s - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let y be i(2). Suppose -5*z + 35 = 5*v, -4*v = -y*z + 3 - 19. Let j be 10 + (-4 - 6)\/z. Solve -3*g + 2*g = -j*x + 20, 0 = 4*x - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(6\/7)*i**(-2\/27)*(i**21\/i*i)\/((i\/i**14*i)\/i) assuming i is positive.\nAnswer: i**(6763\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*f + 72, -y + f - 43 = -4*y. What is the greatest common factor of 21 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390148 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 118 - 8 = -59 - 47 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l + 3 + l**2 - 1\/3*l**3. Calculate w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -7*t**5\/60 - t**2. Let h(i) be the third derivative of 0 - 6*i**2 + i + 0*i**3 + 1\/60*i**5 + 0*i**4. Determine p(h(o)).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}