diff --git "a/data/dm_maths/full_data_1/1321_11255.jsonl" "b/data/dm_maths/full_data_1/1321_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1321_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -130549 divided by 10?\nAnswer: -130549\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 4 + 7)*(46 - 160*i**3 + 331*i**3 - 177*i**3 + i**2)*(-2 + i - 3 - 4) as w*i + h*i**4 + s*i**3 + c + q*i**2 and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 24 (b) -4 (c) 0.1 (d) 5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42542973883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16791026107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28453 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 21*d**2 - 7*d + 8. Determine o(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1625451490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 651, 39.8, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 13) to base 12\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2\/3 (c) 2\/81 (d) 1110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -2\/21*u**3 + 4 + 2\/7*u + 1\/14*u**4 - 1\/7*u**2. Suppose g(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) - 33\/(-2). Suppose -2*k - 5*m + i = 0, -6 = 5*m + 4. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -501 + 441. Suppose 2*d = -0*d + 6. Is ((-8)\/d)\/(m\/(-90)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32229024.\nAnswer: 2, 3, 335719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + -2 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and ((-258)\/240)\/(1\/(-2))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1365132 or -4095400\/3?\nAnswer: -1365132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 - 7703854*y**2 - 7703860*y + 15407712 = 0.\nAnswer: -2, 1, 3851928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h*h\/h**(-3\/7))\/(h**(-3)\/(h**(-6)*h))*(h*h\/(h*h**(3\/5))*h\/(h\/h**(2\/11)))\/(h*h**(-2)\/h*h\/(h\/h**(4\/3))) assuming h is positive.\nAnswer: h**(-337\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2218, 2209, 2186, 2149, 2098?\n\"Answer: -7*q**2 + 12*q + 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -847, -841, -835, -829?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -39*n**3 + 2943*n**2 - 3777*n - 4368. Let r(h) = 5*h**3 - 368*h**2 + 472*h + 544. Let d(y) = -4*b(y) - 33*r(y). Find v, given that d(v) = 0.\nAnswer: -2\/3, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cd + -4?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47867, -95319, -142773, -190229, -237687, -285147, -332609?\n\"Answer: -z**2 - 47449*z - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46 + -0.061.\nAnswer: -0.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(42)\/sqrt(600)))\/(sqrt(864) + 3*2*sqrt(864) + sqrt(864)).\nAnswer: 5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -280917577.9 rounded to the nearest one hundred thousand?\nAnswer: -280900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2*(-10)\/(-49)*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253 by -6.\nAnswer: -253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91920 is divided by 2683.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2676 in descending order.\nAnswer: 2676, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/4 - 170\/(-35). Let g = 0.317 + -0.517. Which is the third smallest value? (a) g (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 15*s\/2 - 4399\/4.\nAnswer: (s - 83)*(s + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1063510 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 + 9*c. Let s be g(-2). Factor 0 + 0*l + 0*l**s + 1\/4*l**3 + 1\/4*l**4.\nAnswer: l**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 105*a**3 + a**2 + 3*a - 5. Let q be h(1). Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 24. Suppose 24 = r*d - 0*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6775)\/5420)\/((-15)\/(-96))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7788 + 5.\nAnswer: -7783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22583 divided by -4?\nAnswer: 22583\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6*2)\/4 - 2. Let z = 21 - 9. Suppose 4*s - 2*s - 6 = 0, 0 = 3*j + 2*s + z. Which is bigger: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 4*s**2 + 16*s - 11. What is k(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 440*1700\/(-159324) - (14\/(-3) + 0)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c**2 + c + c**2 + 0*c**2. Let f = -129160 + 129159. Let j(p) = 6*p**2 - 3*p**3 - 3*p**3 + 6*p + 3*p**3. Determine f*j(l) + 6*u(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 9*m. Let b be v(-4). Suppose 2 = 2*w, -b*t = -6*t + 2*w + 81998. What is t rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1533 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 12. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-9)\/288). Suppose 4*p = 5*o - 177, 2*o - 53 = p + s. Let m = o - -43. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-794)\/78 - (-46)\/(-299))*-1242.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/185 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19353118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435194 and 7918.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a factor of 7881228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 1018.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 15 = -5. Calculate the remainder when 24 is divided by 5\/(v\/(-32)) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 575 + -580. Let u(c) = c - 1. Let h be u(4). Let o(f) = -3 + f**2 + 4 + h*f + 3. Calculate o(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-5))\/(428\/(-321) + 6314\/240 + -25)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 199\/2. Suppose 3*w + 5*q - 86 = 0, -2*w = -5*q - 31 + 7. Let l = v + w. Which is the nearest to -1? (a) -0.4 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668697273 to the power of 1\/3, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.32. Let f = 25.92 + q. Let h = f + -25.945. What is h rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 62. Solve 2*x - b - 1 = 5*a, -a = -3*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + 7 + 2*w**3 - 16*w**4 + 19*w**4 in the form t*w**2 + p*w**3 + v*w + s + i*w**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66055 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1 - 5*o**2 + o**3 - 1. Suppose -4*y - 111 = -295. Let b = y - 41. What is q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 - 7 = 0, 0 = -5*q + 3*o - 22. Let h be 1*(3 + q*2\/(-4)). What is the greatest common divisor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -276, -7, 1\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 111 = -2*n + 5, 3*v + 3*n = -126. Let t = v + 42. Find the second derivative of -66*b**2 + 12*b + 33*b**2 + 32*b**t wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - 10.4. Let j = -15.2338841 - -27.0338768. Let h = j + a. What is h rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8281 + -8224. Calculate the lowest common multiple of 1053 and q.\nAnswer: 20007","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*b - 6, -4*d - 2*b - 1 = -33. Let h(w) = 49*w**2 - 1. Let t be h(1). Calculate the highest common divisor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2375756\/861 + -19316\/7. Find the common denominator of w and 46\/9.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 - 3956 + 3956.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0 + h**3 + 9 - 7*h - 3*h**2 - 5 + h**2. Let l be i(5). What is the greatest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 102916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73661328 to the nearest integer?\nAnswer: 8583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -53516 divided by -34\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14810800a - 4?\nAnswer: 148108006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156956533.\nAnswer: 156956533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3*d**2 - 5*d + 10*d**3 + d**3 - d**3 - 12*d**3 + 4. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 - 42*y**2 - 49*y - 8. Give r(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(22)\/sqrt(2) - sqrt(11))) + -1*sqrt(55)\/(sqrt(5) - (sqrt(5)*-2 + sqrt(5))))*5.\nAnswer: -60 - 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72312836.\nAnswer: 2, 409, 44201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16610860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205679, 822715, 1851105, 3290849, 5141947, 7404399?\nAnswer: 10078205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Suppose 301 + 11 = s*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**7\/105 + h**6\/60 + h**5\/5 - h**4\/3 - 8*h**3\/3 - 36*h**2. Factor v(k).\nAnswer: -2*(k - 2)**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 861 and -0.2.\nAnswer: -172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 263.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53601682 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s - 1. Suppose -3*a - 56 = -y, 28*y - 30*y = 2*a - 80. Suppose y*q - 50*q - 6 = 0. Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1574684*n**6*x - 3*n**2 + 3*n*x - 4*n + 179*x + 5 wrt n.\nAnswer: 188962080*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/72*-9)\/((2\/(-42))\/1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 89.37\nAnswer: -89.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 + 65078*q**2\/3 + 529360720*q\/3 - 529425800\/3 = 0. Calculate q.\nAnswer: -16270, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357 - 2503\/7. Let m = 0.324 - 0.524. What is the smallest value in m, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, -21, -0.1, 2, 0.11, 2.1, -19\/5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42125 and 58374803.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (41\/4)\/((-1)\/(-4)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.2831\nAnswer: 0.19817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/2)))\/k**(2\/3))\/(k**0\/(k\/((k*k\/((k\/k**(4\/7))\/k))\/k))) assuming k is positive.\nAnswer: k**(-31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -8*o**5\/5 - o**2\/2 + 2*o - 60. What is the first derivative of m(p) wrt p?\nAnswer: -32*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2778 - 2750. Let o(x) = -x + 20. Calculate the remainder when p is divided by o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, i: 3}. Give prob of sequence vviv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 285670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*s - 39. Suppose 0*c = -4*c + 172. Let o = c + s. What is the remainder when o is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35117955*i**3 + i + 70236035*i**3 - 35117933*i**3.\nAnswer: 147*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/8)*b**(1\/4)*b**(4\/9)*((b\/((b\/(b**5\/b))\/b))\/(b*b**5*b))**(2\/3) assuming b is positive.\nAnswer: b**(-1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -20*k + 5434. Does 33 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -2*k**4 + 0*k**3 + 57 + 49\/2*k**2 + 0*k. Find the second derivative of n(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.17 - -1.17. Does r = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6870*c**2 + 5507 wrt c?\nAnswer: -13740*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a**2 - 6*a**2 - 18*a**2. Let t(m) = m**2. Determine t(d(c)).\nAnswer: 1156*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.849 + -0.151. Which is the biggest value? (a) -1\/18 (b) -2\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13*s = -11*s - 59547, 7*j - 4*s - 138917 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 294 - 402 + 11 + 0*w + 93 + 2*w.\nAnswer: 2*w - 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 7*x + 0*x**2 + 0*x**4 + 0 - 7\/3*x**3 - 2\/5*x**5. What is the second derivative of b(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-5 + 5 + 29*w).\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098547 to the power of 1\/2, to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**30\/w*w*(w\/(w**21*w))\/w assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.9. What is the closest to g in -0.1, -1\/2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.3625 to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53\/2 - 473\/18. Let t = 5.88 - -0.12. Which is greater: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1 + -1)*-4. Suppose 36 = 3*c + 3*h, a*c - 5*h + h = 8. Suppose -7 = -s - 0*s + n, 0 = n + 4. Calculate the remainder when c is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by 132?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12234*z + 14180*z + 64218 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (0 - -11 - (499 + -486) - (2 - 12))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 1, 2*b = b + j - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03497 - -2128609950.\nAnswer: 2128609950.03497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(1159*p**3 - 295*p**3 + 49*p**3).\nAnswer: 913*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43662\/(-684) + 68)\/((-1)\/12).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69705562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkekeuukekekeukagg. What is prob of picking 1 k and 2 g?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -6, -95, -3, -4 in ascending order.\nAnswer: -95, -6, -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2040, 8137, 18290, 32493, 50740, 73025?\nAnswer: 99342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from {o: 3, l: 4, i: 6, k: 2, q: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 1\/5*q**3 - 1\/5*q**2 + 0.\nAnswer: -q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.705 * -1\nAnswer: -1.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1) + 1 + 15. Let y be (-5)\/(4\/10 + (-6)\/90). Let k = x + y. What is the smallest common multiple of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461919357.\nAnswer: 3, 51324373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 601*l - 13. Let d(k) = 598*k - 9. What is 3*d(p) - 2*o(p)?\nAnswer: 592*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -3\/2, 1.564?\nAnswer: 1.564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + (-2 + 3 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + u - 53. Let t(r) = 9*r + 9. Let q be t(0). What are the prime factors of f(q)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2287, 4371, 6451, 8527, 10599, 12667?\n\"Answer: -2*q**2 + 2090*q + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141973821?\nAnswer: 3, 11, 29, 49451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -20*o. Let u(m) = -43*m**2. Determine s(u(p)).\nAnswer: 860*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.5. Let i = x - 0.5. Let o = -3 + 3.1. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18803256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.009 + 0.009. Let v = -22 - x. What is the nearest to v in 0, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11596 is divided by 603.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 7, x: 3, u: 3}. What is prob of picking 2 o and 1 x?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/25)\/(3\/10). Suppose g*z = 3*x + 1 - 12, -4*z = -8. Let v(b) = -b**3 - 7*b**2 - 9*b. Let q be v(-6). Solve t + 13 = -3*w, 2*t = -x*w + w - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 137264415?\nAnswer: 1921701810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3*n - 2974*m**3 + 3356*m*n + n with respect to n.\nAnswer: m**3 + 3356*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -40814.\nAnswer: -40816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 53*y - 928. Give f(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in -0.03, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 70\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 5 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 7, y: 6, f: 3, n: 1}. Give prob of picking 1 s, 1 n, and 2 o.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4831*h**2*k**3 - 11*h**2*k - h**2 - 2*k**2 + 45*k wrt k?\nAnswer: -28986*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/68)\/((-40)\/(-48)*81\/(-60)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 1627257 = 1078913 + 2899124. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220223 + -1340?\nAnswer: -222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 1.4, 0, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Let m be (1 - 0)\/((-1)\/(-5)). Solve n*w - 5 = m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (30\/(-42) + 2\/(-7))*-17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4800322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -59. Suppose 5*u - u = -p*m + 12, 5*u = -m + 15. Solve -16 = -m*n - 3*n + 2*t, 0 = 4*n - t - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129638.4 less than 7?\nAnswer: -129631.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 18*k - 2722. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93430 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.07 (b) -35615 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42a56 + 10?\nAnswer: -42a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4046 - -4065. What is the greatest common divisor of 4541 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -4.5, -2\/17, -1\/2, 0.1?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*y = 2749364 - 2752900 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318178 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:38 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:52 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-89)\/4 + 1\/4. Let q = z - -27. Calculate the lowest common multiple of 3 and 3 + (-35)\/q + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**6 - 4275341*s**3 + 1683054*s**2 - 7*s - 2.\nAnswer: -600*s**3 - 25652046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7))**(-1\/46)*x**12\/x**(-1\/43) assuming x is positive.\nAnswer: x**(166517\/13846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191628, -191647, -191666, -191685?\nAnswer: -191704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/12 + 4*z**2 + 54*z. Let h(k) = 300*k**2. Calculate h(v(q)).\nAnswer: 7500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -611*r**3\/3 + 778*r + 252. What is the derivative of s(l) wrt l?\nAnswer: -1222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-28)*(-6 + -1). Let x(r) = -3*r**2 - 16*r + 10. Let g be x(w). Is (g\/(-3))\/(2\/2397) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469569 - 2039.2?\nAnswer: -471608.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0.03, -3\/4, 3\/7 in decreasing order.\nAnswer: 3\/7, 0.03, -3\/4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -194. What is the highest common divisor of k and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18739900 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2720 + 2733. Solve 0 = 2*t + r - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65283 and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 47.1. What is the nearest to 2\/7 in 1\/3, q, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + -0.19. Let v = t + -0.7. Let h be 1\/(0 - 5\/(-1)). Is h at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848081.33 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228067147.\nAnswer: 7, 11, 419, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*o + 24 = -2*v, 2*o = -v + 14. Does 11 divide (v + -1)\/(33\/363)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, i: 11}. What is prob of picking 1 i and 2 y?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -21*n**2 + 19*n - 14. Determine j(-4).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*c + c. Let f be 10\/(-25) - 27\/(-5). Suppose -f*g + 432 = -g. Calculate the highest common divisor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-168)\/112*(-44)\/6. What is the third derivative of 21*c**5 + 77*c**5 - 3 - 16 - d*c**5 - 1 + 3*c**2 wrt c?\nAnswer: 5220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 4.4. Let z = 0.7 - q. Let i be (2 - 2 - 3\/4)*1. Which is the smallest value? (a) i (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1\/31, -2, -2.2, 3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/8 + 43910003*w\/4 + 1928088363460009\/8.\nAnswer: (w + 43910003)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1542053 - 16?\nAnswer: -1542102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 2*a - 218 = -15*z, 3*z - 4*a = 176. Suppose z*f - 43 - 61 = 0. Factor 0 - 3*y**f + 0*y**4 - 3\/2*y**5 + 9\/2*y**3 + 0*y.\nAnswer: -3*y**2*(y - 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from uuzujju.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w - 19. Let c(b) = b**3 + 23*b**2 + 19*b + 4. Is c(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 49224?\nAnswer: 49223.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 206626.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128564?\nAnswer: 2, 32141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 168*u**2 + 476*u + 312.\nAnswer: 4*(u + 1)*(u + 2)*(u + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + 21 + 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 646776.75.\nAnswer: -64677.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23431 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: Subtract -0.4 from -29811564.\nAnswer: -29811563.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2*(-11)\/(-22). List the prime factors of (-4)\/((-12)\/147) + z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -1, -11, 4 in increasing order.\nAnswer: -11, -8, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let a = 13 + -42. Let f = -27 - a. Let u(t) = -3*t**f + 8*t**2 + 7*t**2. Determine u(v(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 1394?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 12*o + 8*o + 2*o + 67*o**2.\nAnswer: 67*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1418 (base 9) to base 12.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/(-245)*2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*g, l = -3*l - 5*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.82 - 0.12. Let y = 4.3 + g. Let k = y - 5.9996. Round k to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -335\/2. What is the smallest value in 3, -2, 5\/3, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + 3. Let x be 68\/(-10)*5*(5 - 4). Let s be 4\/(-7) - x*(-1)\/14. Sort 1, s, l in increasing order.\nAnswer: s, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let h(j) = 27*j**3 + 26*j - 11. Let t(k) = 9 + 9*k**3 + 5 - 18 + 9*k. Let z(q) = n*h(q) - 11*t(q). Find the second derivative of z(b) wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1803254245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1282 + 1234. Put n, -12, -1 in decreasing order.\nAnswer: -1, -12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, k: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 61449284*t + 61449280.\nAnswer: 4*(t - 15362320)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/35? (a) -1\/5 (b) -0.7 (c) -8.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + o**4 - 150*o**3 + 10*o**4 + 151*o**3 to the form m*o**2 + g*o**3 + c*o**4 + j + s*o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 21*s = -20*s + 4*s + 88, -6*x - 2*s - 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*u - u + 36, o - 3*u = -8. Suppose -4*c + 2*d + 94 = 0, o*c - 2*c - 45 = -d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -486*h - 597. What are the prime factors of r(-16)?\nAnswer: 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v = 27*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 7*p**3\/2 - 7*p**2 - p. Is c(7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32))\/((-9)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51980633 and 280408?\nAnswer: 415845064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x. Suppose 29892 = 2*c + c - 4*s, x = -c - 4*s + 9964. Suppose 2636 + c = -3*n. Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 25*c**2 - 1. Let y be f(1). What is the common denominator of 124\/y + 0 + -2 and 66\/88 + (-652)\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922469, 1844939, 2767409, 3689879?\nAnswer: 4612349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-49 - -62) - (-5 - (4 + 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:24 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 - 18*w. Let y(g) = 3*g**3 - 11*g**2 + 36*g. Let p(q) = 11*i(q) + 6*y(q). What is the second derivative of p(k) wrt k?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = 2. Let s(x) = -3*x**2 + x - 10. Let g(d) = 4*d**2 + 11. Let v(z) = -2*g(z) - 3*s(z). Is 18 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*l = 70, -3*l - 44 = -3*n - 5*l. Suppose 5*f + n = -q, -2*q + 2*f = 2*q + 20. Let c = q - -16. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41570 - -71165. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let m(y) = -y**3 + 4*y**2 - 2*y - 1. Let n be m(x). Suppose -2*k + h + 3*h + 322 = 0, -n*k - 4*h + 483 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.92 - 12.\nAnswer: -12.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = -19 - 27 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7296 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:20 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 152145832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17223 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 22799432121.\nAnswer: 22799432121.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-four thirds of a hour?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 - s + 26. What is the remainder when 75 is divided by c(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 32. Suppose 72 - c = 4*n. Let a = 25 - n. What is the remainder when 42 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1036\/4581 - 2\/509. What is the smallest value in -2\/233, f, 0?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -39. Let o = 2 + -1. What is the closest to 0 in m, 2\/23, o?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594799 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*v - 3*s, 12*v - 250 = -9*s + 2*s - 277 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = 4*q - 0*q, 3 = -3*t + 2*q. Sort 2, t, -4.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, a: 2, l: 3}. Give prob of picking 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3024 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (44555\/(-6365))\/((-1)\/(-3))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16218 = 2*w, 9*d - 8105 = 7*d + 5*w. Suppose 0 = 5*s, 55*u + 3*s = 60*u - d. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (13 - (49 - (-12 + 28))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-124 - -81) + (22 - (-1 - -7))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112869 or -3\/2?\nAnswer: -112869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 52752024*j - 231898003008048.\nAnswer: -3*(j + 8792004)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3016296 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8136 and 72.\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 31*k + 9 = 35*k, -5*k = 4*g. Solve 3*y - 3*b = 4*y + 6, 0 = -g*y + b - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177658 or -177770?\nAnswer: -177770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 29. Let b be y(13). What are the prime factors of ((-2 + b)*-3)\/((-54)\/2232)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3 and 7\/1405701?\nAnswer: 1405701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 20 = 0. Solve 10*u + 2*u**3 + 4 - i*u - 4*u - 7*u = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let h(t) = -13*t**2 - t + 3*t + 15*t**2. What is -h(v) - 2*y(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:45 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Let i(m) = -6*m - 4*m + m + 19*m. Let d(g) be the first derivative of -5*g**2 + 1. Let y(r) = -5*d(r) - 4*i(r). Determine y(v(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37312541 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (13 - 1 - 21) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -588*-0.5\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/171 + -527\/1197. Let s = -4 + -1. Which is the closest to -0.1? (a) 0.1 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 360. Suppose 5*r - 3*g = 511, -7*g = -8*g + 3. Let f = r + q. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -29*h**3 - 19 - 31*h**3 + 61*h**3 - h + h**2. Give w(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 14*t**3\/17 - 89254*t**2\/17 - 6109206*t\/17 + 470718 = 0.\nAnswer: -69, 9\/7, 6443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - sqrt(140)\/(1*sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -5 + (-2 - -7) - ((-5 - -5) + -3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 19 + -29 - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12)*-15*((-55)\/10)\/11. Solve -5*t + 5 = -5*y, -3*y + y = k*t + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42753 - -42755. Solve t*v - 32*z + 2 = -33*z, 2*v + 2*z = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 43\/8*i**4 + 17\/15*i**5 + 0*i + 0 - 52*i**2 + 0*i**3. What is the second derivative of m(h) wrt h?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 39*f**3 + 11031*f**2 - 1457880*f + 224028 = 0.\nAnswer: -381, 2\/13, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 99. List the prime factors of ((0 - -1)*-58)\/(7\/z).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -928790, -1857615, -2786440, -3715265?\n\"Answer: -928825*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 6*k = -8, 5*y - 3*k - 1262 = -1237 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 361*k**7\/1680 + 11*k**6\/720 + 7*k**5\/15 + 24*k**2. Let s(i) be the third derivative of t(i). Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.2. Let l = q - -0.2. Let k(y) = -3*y**2 + 13*y - 4. Let t be k(4). What is the smallest value in t, 1, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1529 + 1715. What is the greatest common divisor of 124 and m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 36427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2220 + -2?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*2 - 1. Suppose v = -y - 4, 2*f + 3*y - 62 - 80 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240082.\nAnswer: 2, 120041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 144.8. Let m = v - 7.7. Which is smaller: m or 17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Put -2, z, 1, 2 in increasing order.\nAnswer: -2, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + q - 556*q**2 + 388*q**2 - 59.\nAnswer: -168*q**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -432 in descending order.\nAnswer: 5, -4, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - -49. What is the remainder when o is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:18 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j**2 + 11. Let p(r) = -3*r**2 + 2. Let g(n) = -6*f(n) + 33*p(n). Let k(h) = -72*h**2. Give g(k(v)).\nAnswer: 15552*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 1\/4*g**3 - g + 1\/4*g**2 - 1 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*6.58\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*i + 29 = 0, 5*z + 5 = -5*i - 0. Let y(b) = -b + 8. Suppose t = 9*t - 24. Let d be y(t). Solve 2 = z*n - d*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*w + 3*w - 6, -5*c + w = -12. Let i = -1 - c. Let x be 6\/i - 12\/4. Sort x, 0.1, 0.4 in ascending order.\nAnswer: x, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + j + 12 = 0, -w + 10 = -2*j. Let o(c) = c - 2*c - w + 2. Let s(z) = -2*z. What is o(s(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 6.6.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2494216 and 2502.\nAnswer: 22447944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37658 - 37650. Determine g so that 36\/5 - i*g - 1\/5*g**3 + 13\/5*g**2 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1329*g**2 + 871*g + 5223. What is the hundreds digit of h(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3679, 3578, 3481, 3382, 3275, 3154, 3013?\nAnswer: 2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-44)\/(-20))\/((-14)\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -1 + (11 - (51 + -40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 0.046 (c) -2 (d) -0.1 (e) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.048? (a) 0.1 (b) -52 (c) 0.03 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 51*p + p**3 - 6 + 2 - 6 to the form u + x*p**2 + k*p + g*p**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 66879 divided by -22293\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -2.3. Let l = 0.21 + -1.21. Let x = n - l. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4092012 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 140007?\nAnswer: 1\/46669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -26 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 4*g**3.\nAnswer: g**3*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 171*c**3 + 9*c - 46. Let x be a(5). Suppose -5511 = -5*q + x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/6 - 56*b**2 + 39*b + 1. Differentiate o(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:48 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 335*l**2 + 25. Let c(p) = 165*p**2 + 11. Determine 9*c(m) - 4*k(m).\nAnswer: 145*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2173 + 623. Let x be -2 - 5\/((-70)\/o). Let z = x - 198. Are z and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 550115?\nAnswer: -550114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 575487 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3777.\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 60, -5, 0, 7 in decreasing order.\nAnswer: 60, 7, 4, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/(-161)*14)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 877159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91355456323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**3*v))*v*v**(-2\/5)*(v**(-1))**49)\/(v\/(v*((v*(v\/v**(-1\/3)*v)\/v)\/v)\/v)*v**(-6)*v**4\/v**(-4\/9)) assuming v is positive.\nAnswer: v**(-1868\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**4\/12 - 34*h. Let r(a) = 3*a - 25. Determine g(r(q)).\nAnswer: 9*q**2 - 150*q + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 702, -0.2, 2\/23 in descending order.\nAnswer: 702, 2\/23, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 36*y**2 - 12*y**2 - 4 - 42*y + 0 + 83*y**3 - 84*y**3. Let c be k(22). Suppose p = -p + 8. Calculate the greatest common factor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5730 + 7?\nAnswer: -5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v. What is the third smallest value in v, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37965 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + -43. Let m = -142 - s. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18*x**2 - 5*x + 23. Let t be l(3). Let o = 190 - t. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65\/252 - 1\/28. Factor 0 + 2\/3*c**3 + 2\/3*c**2 + f*c + 2\/9*c**4.\nAnswer: 2*c*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48512?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*i**3 - 81*i**2 + 74232*i - 3 wrt i?\nAnswer: 2010*i - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118541059 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.4168839 + -346?\nAnswer: -268.5831161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*w - 9627, 332*t = 329*t - 6. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -123\nAnswer: 5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*l*m**3 - 1880472*l*m + 2170*m**5 wrt m?\nAnswer: -1410*l*m + 43400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674365 (base 9) in base 6?\nAnswer: 51232305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 - 7724*y\/11.\nAnswer: -2*y*(y + 3862)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2822\/455 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30254 - 30242. What is the lowest common multiple of k and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x + 319. What is j(-26)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 2, u: 2, v: 2}. What is prob of sequence eu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kahh when four letters picked without replacement from klkhklvvhklslaakvavh?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:59 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -678, -1507, -2668, -4161, -5986?\nAnswer: -8143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/111, -3\/100, -5, -1 in descending order.\nAnswer: 2\/111, -3\/100, -2\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17002 - -16988. Let n(g) = 3*g + 57. Give n(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4294.76075 to one decimal place.\nAnswer: 4294.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2161, 11133, 26075, 46987?\nAnswer: 73869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 36. Find the common denominator of 89\/18 and (((-40)\/(-45))\/2)\/(j\/(-114)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmwm when four letters picked without replacement from {w: 4, x: 2, m: 5, p: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)*l**(-9))**(21\/8))**15 assuming l is positive.\nAnswer: l**(-2655\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00494203834 rounded to seven decimal places?\nAnswer: -0.004942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5894)\/2119 - 32076\/(-11583).\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -645771 - -3903067\/6. Let f = h + -4755. Calculate the common denominator of -89\/20 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/((-144)\/(-45) + -3). Solve 0 - 4\/5*j**3 + 2\/5*j**h + 2\/5*j = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (446*o + 2 - 2 + 600*o - 106*o + 623*o)*(-5*o - 4*o + 13*o) to the form j*o + g*o**2 + d and give g.\nAnswer: 6252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((935\/(-255))\/((-22)\/36))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 48*x**2 + 1087*x - 1175. Calculate r(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -7 (c) 2 (d) -10.5817\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*2)*3 + sqrt(110) + (sqrt(110) - (-3*sqrt(110) + sqrt(110) - sqrt(110)))*-1)\/(sqrt(240)\/(2*sqrt(6))*-5).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -c + 26. Let l be (c\/3)\/(2\/(-27)). Let f = 11 - l. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -1005?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = -394*w + 235*w. Sort 3, w, -3, -11, 7 in decreasing order.\nAnswer: 7, 3, -3, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*a = 14 + 34, 0 = -5*s + 6*a + 46. What is the remainder when 1496 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3 plus 0.2?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -10 - 6 - (3 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 79978?\nAnswer: -79975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -74, -77?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*6\/24)\/(((-315)\/486)\/35)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*o + 40, -22*o - 21 = -5*f - 21*o. Which is the closest to 2\/3? (a) -8 (b) f (c) -1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 18. Let q be k(13). Suppose 0*r + 27 = -q*r - 4*x, 5*r + 24 = -3*x. Sort r, 3, -5.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(3\/1 + -1). Let h = c + 3. Solve 0 = h*a + 2*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 819 = -12*z. Let j = z - 56. Solve -2*t - 20 = -j*n - 9, -2*n = -2*t - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 - 10. Let s be q(-8). Let x = -7 - s. Suppose 6*d**3 - 2*d**3 - x*d**3 - d**2 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = 4*a - 23, 0 = a - 5*r - 17. Suppose g + 293 = a*w, w - 144 = 4*g - 15. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -1, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 571.1675.\nAnswer: 577.1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + -236414?\nAnswer: -236454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106593 is divided by 141?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 303 - 544 + 4*m**3 + 24*m**4 + 242 + 4*m as w*m**2 + i*m**3 + k + h*m + t*m**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 4, i: 1, n: 10}. What is prob of picking 1 g, 1 i, and 1 n?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1610 = 4*g, -5*g - 4*s - 377 = -2394. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/24 + 11*g**3\/6 + 8*g**2. Let p be f(7). Solve 12 = -p*x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 22. Let z = f - -13.1. What is the closest to -1 in -5, z, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 8*o + 10920*o**2 + 3*o + 3*o**3 + o**3 - 10869*o**2 - 7*o**3.\nAnswer: -3*o**3 + 51*o**2 + 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/4)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-6) - 1\/(-3). Let s(r) = -2*r + 10. Let b be s(-7). Suppose n*p - b - 6 = 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: Let f = 8349 + -7911. Calculate the highest common divisor of f and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {o: 2, j: 5, g: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 7\/(-28)*25\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 26 = 5*i. Let q(p) be the second derivative of -1\/30*p**6 - i*p - p**2 + 0*p**3 + 0*p**5 + 0 + 0*p**4. Find the first derivative of q(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -6, 22 in decreasing order.\nAnswer: 22, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 605117549 and 0.111.\nAnswer: 605117549.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - g - 6*g - 7*g + g + 26.\nAnswer: -6*g + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, v: 9, f: 2}. What is prob of picking 1 f and 2 v?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7473 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 - -8343\/43. Let u = 83\/129 + g. Which is greater: -74 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - b = -22 - 15, -5*b = -2*d + 31. Which is greater: d or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t\/(t\/(t*t*(t\/((t*t**(-3))\/t))\/t))*t)*t**14)**0)**(-21\/2) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/7, 6\/37, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5509530 and -179\/60?\nAnswer: 11019060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140*c**4*p**3 - 3*c**4 - 6*c**2*p**3 + 67*c**2*p wrt c?\nAnswer: 3360*c*p**3 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 2*f = -49*t - 41, 5*t - 6*f + 63 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.83748 to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 2293445*j**2 + 27521880*j - 82566180.\nAnswer: -5*(j - 6)**2*(j + 458701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a microgram in nanograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 25, -4*i - 2*u + 18 = -0*u. Is -2*((-405)\/6 - i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/339 and 47\/23955111.\nAnswer: 2706927543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)*u**(-1) assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**1\/b))**(-33\/7)\/(b**(1\/4))**(4\/23) assuming b is positive.\nAnswer: b**(-766\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 7\/(7\/(-4)). Let f = 699 + -996. Let h = 297 + f. Solve h*o = x*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 228\/5 + 2\/5. Let b = a + -1. Suppose -4*u - 9 = -b. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 1. Let j(a) = -3*a - 2. Let z(t) = 5*j(t) - 8*p(t). What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 - -3903. Let a = v + -55989\/13. What is the common denominator of a and -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Calculate w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 732270 times -0.4\nAnswer: -292908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*t + 6 = 0, -o + 14*t - 11*t = -9. Let n(v) be the first derivative of o*v**2 + 0*v + 1\/5*v**3 - 6 + 3\/20*v**4. Factor n(z).\nAnswer: 3*z**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*r = 2*i + i + 1092, 450*r - 453*r - 3*i = -12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 + 13\/2)*(6 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**6\/27 + 8*n**5\/15 + 2*n**4\/3 - 64*n**3\/27 - 10*n**2\/3 + 8*n + 233. Determine l, given that d(l) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 42*h + 440. Let y be r(-23). Factor 9\/2*j**5 + 0*j**2 + y*j**3 + 15\/2*j**4 + 0*j + 0.\nAnswer: 3*j**3*(j + 1)*(3*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -2263?\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9276, 37052, 83326, 148092, 231344, 333076, 453282, 591956?\nAnswer: 749092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60135 rounded to two dps?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*r - 34*i + 33*i, -8*r - 300 = -4*r - 11*i + 57 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 46, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*a**2 + 91*a**2 - 299*a**2 + 1325*a**2.\nAnswer: 1676*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n + 54. Let z(r) = 11*r + 78. Let k(t) = -7*j(t) + 5*z(t). Suppose 3*a + 2*a - 45 = 0. Let w be k(a). Solve -2*i = 0, 4*u - w - 1 = 5*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10625, -10395, -10165, -9935, -9705, -9475?\nAnswer: -9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 5*k, 0 = g + 5*k. Let m(s) = -s**3 - 4*s**2 - 2. Let q be m(-6). Suppose g = 5*d - q - 20. Solve d = 4*b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62775, -252712, -569273, -1012458, -1582267?\nAnswer: -2278700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6501218 + 5*y + 6501218.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842535387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxkm. Give prob of picking 1 x and 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 103, 2579, 5055, 7531, 10007, 12483?\n\"Answer: 2476*x - 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 1. What is the remainder when 31 is divided by (-53)\/k + (-2)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let u be 2*(-3)\/(-6) + q. Let x(l) = l**2 - l - 9. Let z be x(4). Solve z*g = -u*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 13*q**6\/480 - 3*q**5\/40 - 7*q**4\/32 + 5*q**3\/12 + 2*q**2 + 133*q. Factor h(i).\nAnswer: (i - 2)*(i + 1)*(13*i - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-35))\/((-2)\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8950.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 184209162 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 23*y**5\/20 + y**4\/12 - y**3\/6 - y. Let t be h(1). Let o = 83 - t. What is o rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose 2*i = m*i + 1080. Let z be (-264)\/i + (-1)\/3. Which is the third smallest value? (a) z (b) 1\/7 (c) -5 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 19*z + 122. Let l be y(-24). Put l, -0.2, -9 in increasing order.\nAnswer: -9, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -119. Let x = h + -32. Find the first derivative of 4 + 3 - 15 - x - 5*b wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 84*a**2 + 2*a - 1. Let h = 17 + -26. Let z be n(h). Suppose 5*s + z = j + 2*s, 4*j + 3*s - 27215 = 0. Round j to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -3*n**5\/20 - n**4\/12 + 2*n**2 + 3*n. Let x be y(3). Let k be 2\/3 - x\/6. Solve 0 = 4*f + f + k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - 9. Let v = 36 + k. What is the highest common factor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6202*k = 6193*k - 81 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(216) + (sqrt(216) + (sqrt(216) + (sqrt(216) - sqrt(216)*2) + sqrt(216))*-2 - sqrt(216)) - sqrt(216))\/(sqrt(48)\/(sqrt(36)\/sqrt(54)))*5.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/41 in -0.1, 1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 57*a**2 + 26*a + 8. Let y(t) = 282*t**2 + 132*t + 44. What is -2*y(w) + 11*z(w)?\nAnswer: 63*w**2 + 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 1. Let m(c) = 7*c + 8. Let d(p) = 8*p + 7. Let a(x) = 4*d(x) - 3*m(x). Let g(r) = 2*a(r) - 9*h(r). Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 86*g + 328.\nAnswer: (g - 82)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 320, -3.2 in increasing order.\nAnswer: -3.2, 69, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/(-4) - (19 + (17 - 29)))*-6\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/43, -18, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*f = -2*a + 180, 0 = 4*a - 4*f + 752. Let q = -121 - a. Calculate the remainder when q is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 3, t: 5, s: 1, r: 5}. What is prob of sequence sfr?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*s - 8 - 22*s - 16*s)*(1 - 2*s**3 - s**3 + 1) as y*s**3 + p*s + r + c*s**2 + j*s**4 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011010001111001000111 + 101?\nAnswer: -1000011010001111001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289\/2 + 8671\/60. Let b(m) be the second derivative of -1\/15*m**3 - 2*m + 1\/10*m**2 + 0 + s*m**4. Factor b(j).\nAnswer: (j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -7, 1, -22, 15, -5, 0 in descending order.\nAnswer: 112, 15, 1, 0, -5, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 13. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 + 8*c + 1. Calculate the smallest common multiple of 11 and r(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 31)*(-389 + 20*n + 389)*(4 - 1 - 4)*(0 - 1 + 3).\nAnswer: 1400*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 2*n - 7. Calculate the smallest common multiple of 12 and v(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1461050, 2922117, 4383184?\nAnswer: 5844251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 - 308. Let q be 648 + 1\/1 + -3. What is the units digit of (-1 - h\/(-4))*q\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n. Let z(x) = -342*x - 99. Let p(w) = 7*w + 2. Let g(f) = 99*p(f) + 2*z(f). Give r(g(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 64 = -4*d. Calculate the remainder when d is divided by (-1)\/4 - 138\/(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 3. Let q = 0.6 - a. Let f = 1 - 1. What is the closest to q in -5, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -100, -79, -40, 23, 116?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4158721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + sqrt(33)\/sqrt(3)*-4).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -21*k**5 + 851*k**4\/3 + 1729*k**3 - 8429*k**2 + 11780*k\/3 - 476 = 0.\nAnswer: -7, 2\/9, 2\/7, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*d - 111*d = -10. Suppose -3*f - 108 = -d*g - 31, 4*f = -2*g + 10. Let a = 29 - -5. What is the remainder when a is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*x**3 + 150*x**3 + 45*x**3 - 19*x**3)*(-3*x - x + 3*x).\nAnswer: -251*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 4*x - 29. What is k(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5202 and 3366?\nAnswer: 57222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 709497 - -0.2\nAnswer: 709497.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f + 735. What is the lowest common multiple of 490 and k(-35)?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-5 - -3))\/((-2)\/8). Suppose 0 = -q - f*q. Which is the nearest to -1\/3? (a) q (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:34 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3610 - -5346. What are the prime factors of v\/17 + 236\/(-2006)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9557 = -2*i + k, -31*i + 30*i + 4*k + 4782 = 0. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*r - 206 = 0, 3 + 100 = m + 5*r. Suppose -25 + 9 + 33 - 1211*d**2 - 306*d + 36*d**3 + m + 506*d**2 = 0. What is d?\nAnswer: -2\/3, 1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03079702 - -835\nAnswer: 834.96920298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*q + 969*q + 33021 - 133389 = 536*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m - 453. Let a(b) = 12*b - 463. Let x(t) = -6*a(t) + 5*u(t). Determine x(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291649517\/716 + 407333. Let d = q - 4\/179. Is d at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 + 2*c - 6. Give d(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0374 - 0.0805. Let m = 0.3531 + h. What is the nearest to -2\/9 in -3, -0.2, 4, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(4\/(-34) - 1458\/612).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let g be c(-3). List the prime factors of (-1 - 0)\/(g\/(-15)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 644496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-5)\/(-18))*31\/(-93). Let z be 830\/t - 2\/6. Is (2\/3 - 1)\/((-2)\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*b*x**3 + 2*b*x**2 - b*x - 2*x**4 - 120*x**2 wrt x.\nAnswer: -432*b - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -31 (c) -0.3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8486712 nanograms to tonnes.\nAnswer: 0.0000000000000008486712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19 - 8 + u**2 + 6*u + 0*u**2 - 6.\nAnswer: (u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 250 + 280. Solve 0 = -x - f + 8, -g*x + f = -x - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 45. Let s = 7 + c. Find the common denominator of s and -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:43 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) - (sqrt(11) + -5 + -5*sqrt(11))) - 1*(-1*sqrt(1584))**2) + -5.\nAnswer: -1614 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642628554 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301111 + 301111 + 1200*z**2)*(-z**3 - 4*z**3 + 2*z**3).\nAnswer: -3600*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 330 = -3*l, -8 - 58 = -s - 4*l. Calculate the remainder when s is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*a + 702 = -208*a. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n + 1. What is the tens digit of c(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133853897 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147729593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186645266 a multiple of 1294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1) + (-1008)\/(-720). Let r = 2.05 - 0.05. Let z = 1.6 - r. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-36))\/((-448)\/4704).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5951*-31.8.\nAnswer: -189241.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 7*p + 271, -7*n + 0*p + 33 + 36 = -2*p - 0*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1264 or 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -562 + 565. Let h be -3 - -9 - 1 - (-30)\/a. Solve -3*b - 4 - 11 = -2*y, 3*b = 3*y - h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 33 = 3*t + 45*y, -10 = t + 5*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3592236)\/27 - (-4)\/(-18). Let l = -1198663\/9 - m. Let i = 139 + l. Is 0 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34052 times -0.02\nAnswer: -681.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 6*m**2 - 7*m + 1. Let l be o(7). Let g(c) = 0*c + l + c - 1 + 1. Give g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4552, -2.\nAnswer: -4552, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 83*f + 1167. Calculate n(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/592 and -31\/15728700.\nAnswer: 62914800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 26. Let d be u(6). Let b be d\/10 - ((-12)\/15)\/1. Factor -2\/5 + b*m**2 - 2\/5*m**3 + 2\/5*m.\nAnswer: -2*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-7))\/(-28)*(-24)\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40712*r**2 - 27868 with respect to r.\nAnswer: -81424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/1464 and 137\/122928.\nAnswer: 7498608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303021 (base 4) in base 14?\nAnswer: -2985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1397 + 1.1397. Which is the nearest to 6? (a) -3 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393795 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 3500, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, -28, -73, -92, -91?\n\"Answer: -v**3 + 22*v**2 - 136*v + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n**2 + 1. Let i be (4 + -11 + 12)*6\/15. Determine q(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnfjnnjnnnjjjj. Give prob of sequence fjn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 63125*f**2 - 756960*f - 2270340.\nAnswer: -5*(f + 6)**2*(f + 12613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 4. Let g be q(-6). Suppose g*v - y = 4, v = 2*v - y. Suppose 4*r + 0*w = 3*w + 575, -v*w + 425 = 3*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 23, -11, -59, -121, -197, -287?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 495 - 216. Suppose -o + l = -4*n, -2*n - 2*n - 542 = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -51*(-10)\/(-3). Let x = -104 - y. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 446 - 428. Is 4\/2*(14085\/g - 9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3145 - 2133 = -44*u - 14*u. Solve -77*y + u*y + 28 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8176, -16414, -24646, -32872, -41092?\n\"Answer: 3*t**2 - 8247*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**3*x - 7050*p**3 - p**2*x - 8*p**2 + 3*p*x - 4 wrt p.\nAnswer: -6*x - 42300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 989 - 191*o - 989 as d + z*o and give z.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*o + 80 = 0, -5*o = -0 + 20. Let v = 10 + -36. Let l = v - u. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211110020122122 (base 3) in base 14?\nAnswer: -1828952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 1\/2, 47\/10, 5\/7?\nAnswer: 47\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166 + 2443 = -166*r - 67*r - 4080 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136623 is divided by 460.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 5*v**2 - 7*v - 3. Let n(p) = 32*p**3 - 30*p**2 + 42*p + 21. Let i(t) = -6*n(t) - 39*w(t). Suppose i(b) = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5208 by -186.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, f: 7, b: 2, j: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d. Let q(x) = -3*x. Let s(n) = 3*n. Suppose 0*t + 2*t - 3*k + 44 = 0, 3*t - 5*k = -66. Let g = t - -16. Let m(a) = g*q(a) - 5*s(a). Give m(z(b)).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87606143*m**2*r**2 - 8*m**2 - 50*m - 15552 wrt r.\nAnswer: -175212286*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0873 minus 19.9427548604?\nAnswer: -20.0300548604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23584 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20101230221 (base 4) in base 12?\nAnswer: -8876b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 + 2*f - 6. Let k be g(2). Suppose 253 = 2*q + x, 105 = q + 4*x - k. Calculate the remainder when q is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -54\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -3, 5*j = -q + 27. Suppose 8663 = 5*z - 4*d - 174, -8816 = -j*z - 3*d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -250487, -500930, -751343, -1001732, -1252103, -1502462, -1752815?\n\"Answer: -x**3 + 21*x**2 - 250499*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 3 - 11193*m - 2*m**3 + 4*m**3 + 11193*m.\nAnswer: m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 - 1.86. Let d = c - -0.34. Are 1\/2 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (4*-1*sqrt(405))**2.\nAnswer: 9*sqrt(5) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35882369.\nAnswer: 23, 479, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*a*f**3 + 6*a*f**2 + 295*a + 12*f**3 - f wrt f.\nAnswer: 1290*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Suppose -2*a = 36 + 42. Let x(r) be the third derivative of -7*r**5\/60 + 4*r**2. What is a*s(t) + 6*x(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 3. Let z(v) = -v + 1. Suppose -3*m = -5*m - 6. Let o(l) = m*z(l) - b(l). Let f(w) = -6*w. Determine f(o(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161663079*-3.\nAnswer: 484989237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.8 and -35.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 + -487.9. Which is the biggest value? (a) -2\/9 (b) z (c) -5 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*q**2 + 346*q**2 - 324*q**2 + 637*q**2)*(-2 + 2 - 1).\nAnswer: -1068*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157231051 to the nearest integer?\nAnswer: 12539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.263726 to three decimal places.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let b(p) = -49*p. Let q(c) = -1 + 0*c + 1 - 5*c. Let m(n) = 2*b(n) - 21*q(n). What is l(m(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 60*a**2 - 4*a + 152. List the prime factors of r(-19).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*i**2*n - 3*d*i*n + 2*d - 406*i**2*n + 41*n wrt i.\nAnswer: -2*d*n - 812*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 122, 172, 206, 218?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2781, 5561, 8341, 11121?\n\"Answer: 2780*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423050*l**2 + 2110*l**3 - 423050*l**2.\nAnswer: 2110*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 845036 + 8?\nAnswer: 845044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 516018 and 1371.\nAnswer: 235820226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44562.3 - 1650972.34.\nAnswer: -1606410.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-255)\/(-9) + 4\/6. Suppose -3*f = 2*f + 3*g - 43, -3*g = -4*f + d. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -18, 105 in descending order.\nAnswer: 105, 4, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/11))**(-6\/5)*c*c\/c**(5\/2)*c*c*c**(-11))**(1\/28))**(2\/13) assuming c is positive.\nAnswer: c**(-1021\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5568642 nanograms in milligrams?\nAnswer: 0.0000005568642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 1 x when three letters picked without replacement from {v: 2, r: 1, x: 3, i: 2, s: 3, h: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i + 237 = 1023 + 302. Let f(v) = 3*v + 2. Let k be f(-3). Let r be (-10)\/(-1 - k\/8). Calculate the highest common divisor of r and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*x + 0*x = -351, 471 = 4*l + 3*x. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29013.29 millennia in years?\nAnswer: 29013290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/657 - 65039\/1314. Find the common denominator of 81\/44 + 1\/4 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**2 + 0 + 5\/42*b**7 + 8*b + 2\/3*b**4 + 0*b**6 + 0*b**5 + 0*b**3. What is the third derivative of i(r) wrt r?\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*v - 3 = 0, -3*w + 4*v = 2*v - 8. Let c(q) = w*q**2 + q - q**2 - 2 - 2*q. Calculate c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 89 = -3*q, -94 = -5*a + 4*q + 17. Solve o - a + 18 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:27 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*x - m - 19, 3*m = 5*x + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196913.48 rounded to the nearest 10000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101673842 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226226, 452451, 678676?\nAnswer: 904901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2928119151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52235 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 3*t**2 - 5*t - 4*t**4 + 0*t - 6135 + 6132 in the form q*t**2 + x*t**3 + u*t + r + j*t**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1661 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-42)*(11 - (-880)\/(-32)) + 1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5232*t + 5230*t + j - 9, j - 11 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 824773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s**3 + s**2 + 4*s + 4. Give g(-2).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*(1 - 0). Suppose -5*s + 2*v = -60, 4*s - 2*s - 24 = 2*v. Suppose 0 = i + w*i - s. Solve i*m + 13 = 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144 + -172. Let x = u + 96. Calculate the remainder when 407 is divided by x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*v - 6 = 0, -j + 4*v + 223 = 6*v + 216 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351022.6 minus -0.1?\nAnswer: 1351022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 66 + 66. Let y(m) = -4 + 3*m + 4. Give -4*v(c) - 3*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 2. Let j be (20\/7)\/(d\/28). What is the greatest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292348 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/4590*5)*3*(-10)\/(-45)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/588*1 - (-16)\/1050 - 36720\/375\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3983 and -19.\nAnswer: -4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -369*u - 4. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)\/(d*d\/d**5))**(-14\/3) assuming d is positive.\nAnswer: d**(-658\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 469 + -343. What is the lowest common multiple of c and 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1296\/5 + (-1)\/5. Suppose -4*u + 209 = -5*k, -5*u + b - 34 = k. Suppose -14 = -3*l + u. Solve 3*q - 8*q = z - l, -3*z + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m + 213*m = -120*m + 5632770. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, 1, 4 in descending order.\nAnswer: 25, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-1)\/(-144)). Let w = 670\/7 + q. Let d be (-7)\/(-10)*(-10)\/4. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -954006*r - 6 + 1908014*r - 954008*r - 3*r**2.\nAnswer: -3*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. Suppose 0 = -l - u + 5*u + 142, -l - q*u = -156. Suppose -5*d + 0*d + l = 0. Calculate the remainder when 87 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.2? (a) 0.26 (b) -0.6 (c) 5 (d) 14\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -551 + 581. List the prime factors of ((-4812)\/v)\/(4\/(-20)).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*p = 230*p + 563*p + 35326 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/2808*-18)\/(2\/40)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {v: 1, h: 2, x: 1, y: 1, q: 1, n: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikik when four letters picked without replacement from kekiiiiieiiii?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = 0. Let m be 0 - (-1 + -2)\/(-1). Let c = n - m. Solve 0 = 5*o - x + c - 2, 2*o = x + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/4 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6944 and 51429.\nAnswer: 1645728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241*f**5 - 551895*f**4 + 2*f**3 - 89*f**2 - f + 695227 wrt f?\nAnswer: -14460*f**2 - 13245480*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -332, -302, -236, -128, 28, 238?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/37545 and 137\/350420.\nAnswer: 1051260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-42 + -28 - -27).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6802 or -6801?\nAnswer: -6802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a. Suppose -2*t + a*t - 2 = 0. Let g = -662 + 13904\/21. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 2*u**4 + 4756*u**3 - 77328*u**2 + 72576*u = 0. Calculate u.\nAnswer: -56, 0, 1, 18, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79414 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) -7 (b) -2\/7 (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/22 and 9\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -3*c + 16*c. What is the greatest common divisor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*o**3 + 146*f*o - 172*o**3 - o**2 - 2 wrt o.\nAnswer: 18*f - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - 5 - (1 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253654 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41430 <= 1\/126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*v - 165 = 0, 4*p + 2*v - 684 = -2*v. Let f = p - 1215\/7. Solve 0*m - 3\/7*m**4 + 0 + 3\/7*m**5 + 3\/7*m**2 - f*m**3 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose 4*w + 1 - 9 = 0. Suppose -16 = -w*y + 44. Solve -2*b - 2*p + 13 - 33 = 0, 0 = c*b + 2*p + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 5. Let t = d - -158. Suppose -t = -8*z + 4*z. What is the smallest common multiple of z and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 18. Which is smaller: -2\/13 or s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/21*(22\/143 + (-29)\/(-65)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68985 plus 4.05?\nAnswer: 4.73985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -25*y**2 - 2*y + 2. Let q be z(2). Let a be -18*-1*(-3)\/(-6). Let k = a - q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26358 and 1242?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*m + 68, 0*m - 4*m + 62 = -z. Suppose 0 = 5*v + 2*d + 3970, -2*v - 863 - 704 = 5*d. Let y = v - -800. Solve m = 5*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9798 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 578490189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -2415, -3651, -4895, -6147, -7407, -8675?\nAnswer: -9951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feft when four letters picked without replacement from {j: 1, h: 1, t: 1, e: 1, l: 1, f: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 128*a**5\/11 + 37948*a**4\/11 + 493598*a**3\/11 - 733554*a**2 + 4150044*a\/11 - 121824\/11 = 0.\nAnswer: -282, -24, 1\/32, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 - -1) + 3 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r. Suppose r*u - 5*u = -20. Let b = -2 + u. Do b and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.8 + -15. Which is the closest to -1? (a) -5 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 65*s - 7 + 17*s + 3 + 23*s.\nAnswer: -6*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 9*h - 65, -3*w - 3116*h - 2 = -3118*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 + a - 40 - 5*a**2 + 39 as d*a**2 + o + c*a and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**4 + 3*f**4 + 4*f**4 + (-2 + 0 + 0)*(5 - f**4 - 5))*(4 - 1 - 2) as y*f**3 + i*f**2 + z*f**4 + n + m*f and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 15 + 13 + (-3 - 2 + 4)*(3 - 1 - 3) + 2 - 1 + 1)*(-2*c + 4*c + c)*(-14*c + 5*c + 6*c).\nAnswer: 531*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - ((-17 - (-8 - -24)) + 68)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(320) + -5 - 2*sqrt(320)*3.\nAnswer: -72*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*p**3*z - 1706*p**3 - p*z with respect to z.\nAnswer: 70*p**3 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*p**5 + 10*p**2 + p?\nAnswer: -4440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 + (-8 - -13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 - 143. Differentiate 4*r**f - 34 - 383*r**4 - 4*r**3 + 323*r**4 with respect to r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + (-165)\/(-35). Let d = 313 + -315. Which is the third smallest value? (a) r (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*j = 2*k - 3951, -k + 2*j = -3956. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-8)\/8*(-30)\/(-55)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -279.0883*17\nAnswer: -4744.5011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i. Let f(c) = c**2 + 8*c + 2. Let d be f(-8). Let l = d + 4. Let o(q) = 4*q**2 - 8*q - 2. Calculate l*u(x) + o(x).\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let i be -3 + 3 - (-2)\/1. Solve -b = u - i*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (333\/52 + 7\/(-28)). Which is the smallest value? (a) 0.381 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**4 + 20*t**3 - 23*t**2 + 7*t + 5. Let d(c) = 8*c**4 - 20*c**3 + 24*c**2 - 8*c - 4. Let m(a) = 5*d(a) + 4*u(a). Find g such that m(g) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/525)\/((3*2)\/((-870)\/3364))\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32057 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k. Let n(u) = -2 + 2 + 12*u. Let f(g) = g**3 + 2*g**2 - 24*g - 39. Let t be f(-5). What is t*c(m) - 17*n(m)?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - 9 - 4 - 12 - 12 + 30 to g*c + 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 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676374205?\nAnswer: 5, 13, 163, 63839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1586 - 1554 - (2 - -37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 15 - 1)*(-3 + 3 - 2) - 4 + 2 + 0 + 3 - 7 - 2 + (-3 + 1 + 3)*(5 + 0 - 3) + 2 + 5 - 4)*(4*t - 4*t - 3*t)*(-4 + 4 - 4) to b*t + w and give b.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506062 is divided by 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -327565 divided by 9359?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100 and 1458300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4733 = -6*v - 1519. Let g = 1497 + v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*g**3\/11 - 1850*g**2\/11 - 10056*g\/11 + 1080 = 0. Calculate g.\nAnswer: -6, 1, 990\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - s + 5 = -3*s, 3*z = 4*s + 1. Suppose 3*b - 4*c = 2*b + 13, 3*b - 30 = 3*c. Suppose z*t - b = 132. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11223 - 11223.8413. Round d to two dps.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(6\/(-4) - -1). Suppose 0 = -5*o + 3*r + 57, o - 1 = -4*r + 15. Suppose 2*w = 5*x - 0*w - 52, -x + b*w + o = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 163061238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 17. Let x = f + 13. Suppose 4*t + 1 - 41 = x. Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoyo when four letters picked without replacement from {w: 2, o: 8, y: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.259 - 4.741. Let g = -0.1 + 0.6. Let x = g + -0.4. What is the second biggest value in x, z, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87183 + -107?\nAnswer: 87078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 224, 230, 238, 248, 260?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*r**4 + 45537*r**2 - 3281046*r wrt r.\nAnswer: 576*r**2 + 91074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 - 55*c - 24*c**3 + 48*c + 25 + 4*c to f*c**3 + d*c**2 + o*c + n and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 10*u + 5*u + 5*u. Let b(t) = -t**2 - t. Let w(m) = 2*b(m) + k(m). Find the second derivative of w(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/30 - 3*g**4\/4 + g**3\/3 - 43*g**2. Let d be n(12). Let y = d - 44. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/85)\/(((-3)\/5)\/((-123)\/(-41)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1267, -2614, -3961, -5308?\n\"Answer: -1347*d + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*o**4 + g*o**3 + g*o**2 + 4*g + 3*o**4 - 377*o**3 - 5*o**2 - 86*o wrt o?\nAnswer: -96*g*o + 6*g + 72*o - 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**4 - 5*k**3 + 5*k**2 + 2*k + 3. Let d(u) = 6*u**4 + 6*u**3 - 6*u**2 - 2*u - 4. Let s(v) = 3*d(v) + 4*j(v). Solve s(q) = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by ((-20)\/120)\/(1\/(-294)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 118, 159, 218, 301, 414, 563?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.094053*0.5.\nAnswer: -6.0470265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1356685 (base 11) to base 16\nAnswer: 23a7d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 5120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 242*v**2. Let r(q) = -2*q + 10. What is c(r(x))?\nAnswer: 968*x**2 - 9680*x + 24200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - d**2)*(4 + 2 - 5).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 946611546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 3. Let k be o(0). What is the units digit of (-108)\/(-15)*(-10)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.06 - 0.66. Put -3\/7, 3, 1, g in decreasing order.\nAnswer: 3, 1, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)\/(w*w**(1\/3)))\/((w\/(w**(-5\/2)*w)*w)\/(w\/w**(-3))))**(-9) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v - 4*v)*(3*v**3 - 9 + 9)*(1 + 4*v - 1).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1235, 377, 8 in decreasing order.\nAnswer: 1235, 377, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 3*h)*(2*h**2 + 3*h**2 - 6*h**2) + (-7*h + 8*h + 2 + h)*(4*h - 4*h - h**2).\nAnswer: -7*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134498 divided by -1.\nAnswer: -134498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = -o + 10, 18 = 5*o + 4*t. Let c be 5 + 0 - o - 3. Solve -2*k + 5 - 15 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189040?\nAnswer: 2, 5, 89, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*s + 2*s**2 + 23340010052 - 23340010052.\nAnswer: 2*s**2 + 344*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**30*q)**20 assuming q is positive.\nAnswer: q**620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let q = 3 - 0. Let v(b) = -b**2 + 4*b - 3. Let a be v(q). Let c(h) = -h + 0*h + a*h. Give w(c(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:18 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b - 7. Give x(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:12 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8155, 32611, 73371, 130435, 203803, 293475, 399451?\nAnswer: 521731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 29. Let a = 24 + w. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 1, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**2 + 1707*y - 2950*y**6 + 1 - 1708*y - 3*y**2 - 1045*y**6 wrt y.\nAnswer: -479400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52984 by 17.\nAnswer: -52984\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, -1, -2\/1185, -5\/2, -228, 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -79?\nAnswer: 11\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*f = 4*d - 1200, 5*d = -5*f + 1160. Let p = d + -88. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392215, -784317, -1176419?\nAnswer: -1568521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112998*d*k - 18*d - 1528578*k with respect to d.\nAnswer: 112998*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hqqhhqhhqh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -0.1, 6853, 0.06, -9\/2 in descending order.\nAnswer: 6853, 0.06, -0.1, -2, -3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 5*v = 79, 0 = 5*k + 5*v - 105. Let q = -10 + k. Let n = -31 - -55. What is the remainder when n is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 + 8*x - 16. What is c(7)?\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:06 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + 8. Round l to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -11 - 10. Suppose m*y - 2*y + 3*j = 4, -5*y = 4*j - 2. Calculate the highest common divisor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/8)\/(2\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = -0*q. Sort -2, q, 5, -0.05.\nAnswer: q, -2, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172\/7 - 2594\/105. Suppose 5*n = -5*s + 15, n + 1 = 5*s + 16. Let c be (n\/(-1 + -4))\/1. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3863*t**2 - 3862*t**2 - 237 + 7723*t**2.\nAnswer: -2*t**2 - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/216 and -1\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -159, -150, -139, -126, -111, -94, -75?\n\"Answer: j**2 + 6*j - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 28 = 7*a, -3*a - 16535*n + 16531*n + 31 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -20. Let u = -6 - j. Is 2\/3 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8537 + 8536.5. Suppose 5*t = -4*i + 3*i + 16, 0 = i + 4*t - 13. Put i, -1\/5, -1, m in descending order.\nAnswer: i, -1\/5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-12 + 11 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*r + 136*r = -35. Put 1, r, -6, -5 in decreasing order.\nAnswer: r, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -24 - (20 + 7 + -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -10238\/110995 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4 + 286*z**3 + 21363*z**2 + 137502*z + 116424 = 0.\nAnswer: -147, -132, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/31 (b) -4 (c) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 0.05.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**6 - 5*u**3 - 2*u**2. Let s(t) = 2*t**6 + 4*t**3 + t**2. Let x(c) = -4*m(c) - 5*s(c). What is the third derivative of x(d) wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-7)\/(-4)*2. Let r(u) = -7 + u + u + l. Let p(f) = 3*f. Let b = -20 - -13. Give b*r(i) + 5*p(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a76 - 3059?\nAnswer: 14a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1030 (b) 3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -85.7, -36, -91?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-20) + 1\/5. Let q be (2 - d)*(2 - 1). List the prime factors of (9 - (q - 1)) + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5043 + -11473. Let l be n*(-4)\/20*2. Is -2*(l\/(-8) - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(-1) + -2)\/1. Suppose -8 - 47 = u*z. Calculate the lowest common multiple of 4 and (z*1)\/(-5 + 4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.353, -4, 2?\nAnswer: 0.353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -1) + 10 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 11*q + 24. Let h be j(7). What is the tens digit of 3 - (-1644)\/33 - h\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + (5934\/(-20))\/23. Which is the third biggest value? (a) v (b) 105\/8 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56.7 * 12.1046\nAnswer: 686.33082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42356?\nAnswer: 2, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10948138 by 8207.\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637884 to the power of 1\/2, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 4)*(24\/36)\/(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:19 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2414034 - -4?\nAnswer: -2414030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317618718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4476 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: Suppose -4*j + 0*l - 3*l - 15 = 0, 0 = -4*l - 20. Is 1 + (j - (-5 + 1)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, -5, 1.7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*b + 380, -i + 415 = 4*i - 3*b. Suppose o - i = -s - 24, -5*s + 20 = 0. Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1))*m)\/m)**10*m*m*m**(1\/14)\/m*m*m**(-10) assuming m is positive.\nAnswer: m**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 + 7*v - 12. Let z be j(6). Let n be 7\/z + 1\/6. Solve 2*c = -2*s + 7*s + 24, n = -s - 2*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*o + 8, -3*d + 4*o + 25 = 0. Suppose -x = x + 3*s - 53, -x = d*s - 25. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/1559 in -8\/9, -1\/44, -2\/9?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 - h + 3. Let x(d) = 3*d**3 - 8*d**2 - 2*d + 16. Let t(w) = -x(w) + 4*z(w). Let f be -8 - (3 + -6 - 1). Give t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-2)\/4)*-2. Suppose 5*h = -9*o + 4*o + 25, -5*h - v*o = -25. Solve 0*q + 21 = 3*w - 3*q, 0 = h*w - q - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.951 + -4. Let h = 4.049 + m. What is the nearest to -1\/2 in 0.3, h, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (29 - 39) - -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-24)\/64)\/((-2)\/4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170 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: Suppose 4*a = -a + 20. Suppose l = a*l - 9, 0 = -3*t - 5*l + 60. Let x = t - 10. Put x, 8, -0.1 in decreasing order.\nAnswer: 8, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l - 6. Let i be n(-4). Suppose 2 - 6 = -i*d. Let k be (12\/(-9))\/(d\/(-6)). Is 1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4\/5 - 2298*p**3\/5 + 4574*p**2\/5 + 3210*p + 9176\/5 = 0.\nAnswer: -1, 4, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(-2 + 1 + 2)*(3 - 4 - 2)*(-2 + 1 + 0).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 2269*g - 4413*g + 2463*g.\nAnswer: 319*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3 = -3*r, 6*r - 10*r = 6*m + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*b + 437 = 0, -3*b = 2*i + 9 - 193. Find the second derivative of -23*s + s**3 - 16*s + i*s**2 + 3*s - 3 + 2 wrt s.\nAnswer: 6*s + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87518100 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 125.1. Let h = -475 + 473. What is the closest to o in h, 4, 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 520047738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2*d)\/d*d**(3\/2))\/(d**(-1\/7)*d**1) assuming d is positive.\nAnswer: d**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x**2 - 14*x**2 + 2 - 6*x**2 - 7*x - 11*x**2 to the form l*x**2 + b*x + i and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2084, 1933, 1674, 1301, 808, 189, -562, -1451?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -5. Let n = 3 + t. Let w(o) = -3*o - 1. List the prime factors of w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1290204.623 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 36*g - 3*x - 15 = 0, 0 = -11*g - 3*x + 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -239, -780, -1839, -3590, -6207, -9864?\nAnswer: -14735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0*c + 80 = -13*o, 0 = 50*o - 53*o - c - 20 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -8*z + 502. Calculate the highest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 12. Let z = w - -7. Let m = 2\/121 - -478\/363. Which is the nearest to z? (a) -0.1 (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733967367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 115*a + 11 = -118*a, 5*x - 1 = 2*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - s**3 - 2*s**3)*(-47634 + 85*s + 47634)*(-1 - 2 - 1).\nAnswer: -340*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 - 12*w. Let t(o) = o**3 + 2*o**2. Give -2*h(y) - 4*t(y).\nAnswer: -6*y**3 + 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 3176.\nAnswer: 28584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -2\/5, 0.346, 55, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 5*g + g)*(3*g - 5*g + 0*g - 3*g + 6*g - g + (-2 + 3 - 3)*(g + g - g) - 1 + g + 1).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 26529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1011180)\/15966*12\/10.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - 4.7. Let o = 1.4 + w. Let h be 1*3 + (-5 - (-36)\/15). What is the second biggest value in o, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 8.8. Sort u, -2\/3, -0.5.\nAnswer: -2\/3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5582041 and 127833?\nAnswer: 16746123","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -7510 (base 8) to base 9\nAnswer: -5326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15945721417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105969687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 3*p - 23, 2*p + 5*v - 2 = 0. Suppose 5*t = p - 6. Solve -7*z + 3*s - 13 = -2*z, -z - 3*s + t = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.747 and 11242.8.\nAnswer: 11260.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/((-4)\/(-8)) - -588) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o + 1. Let l(v) = -11354*v**2 - 4414*v + 1. Let b(h) = 2*g(h) - l(h). Find the second derivative of b(n) wrt n.\nAnswer: 22704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -4.07, 1203, 2\/11?\nAnswer: -4.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y + 5*y - 21*y - y + 6*y. Let g(b) = 47*b**2 - 5. Determine v(g(j)).\nAnswer: 188*j**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((8 - 2) + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13214301 + 5?\nAnswer: -13214252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1078 divided by 9.\nAnswer: -1078\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**32\/(c**(1\/6)*((c*c*c\/c**12*c)\/c)\/c))**36 assuming c is positive.\nAnswer: c**930","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q - 2*z + 22, 13 = q + 2*z. Suppose -5*l - q - 2 = 0. Put -5, 2, l in ascending order.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001222722 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = 0. Find the first derivative of o*m**3 - m**3 + 1 - 2 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92*17\/(-68)*(2\/(-6))\/(22\/66)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-3)**2 - sqrt(13) - sqrt(26)\/(sqrt(72) - sqrt(2)))*-2.\nAnswer: -5850 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57831 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c**3 + 2 + 2 - 4.\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) -20 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y + 61. Let t be p(3). Let w be 2\/1 + -1 - 1. Solve f - t = -w*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-57)\/(-190))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 11\/2*k**4 + 0*k**2 + 38 + 0*k**3 + 4*k. Let j(o) = 6*o**2. Give j(y(w)).\nAnswer: 26136*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10111011001100010 (base 2) to base 15\nAnswer: 1d5e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3 = 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/12 + f**2. Let v be j(-4). Suppose -3*g = -v*g + 5. Solve 3*n - g = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2356 and -109\/21204?\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1381 + 7?\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:51 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let n be (51\/g)\/((-2)\/(-4)). Let d = n + -33. Solve -2*p - d = 4*q, -16 = 4*q - 0*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - 0.27. Suppose 1 = 3*v + 7. Let x = -1.7 - -1.8. Sort j, v, x in decreasing order.\nAnswer: x, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-20)\/(-8))*-6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 7*r**3\/3 + 13*r**2\/2 - 6. What is the second derivative of v(o) wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 40583?\nAnswer: 5\/40583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/5*(-90)\/9. Let p = 21 - m. What is the second derivative of -2*c + 7*c**5 - 10*c**5 - p*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, z: 2, p: 7}. Give prob of sequence fpf.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*l + 4 = 0, -t + l = t - 9. What are the prime factors of (70\/7 + -107)*(-10)\/t?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*i + 3*h**3*i - 303*h**3 - 15056*h**2*i + i wrt h?\nAnswer: 48*h*i + 18*i - 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f + 20 - 20.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvou when four letters picked without replacement from {t: 1, u: 4, c: 5, v: 4, o: 5}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 502 and 172939?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*l - 24 = -k - 325*l, l + 32 = 3*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:24 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81696 and 26196.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**3 - 611*u**2 + 2 + 17*u**3 + 839*u**2 + 19*u**3.\nAnswer: -u**3 + 228*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 3234488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 20 = -19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 2*q. Give v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2463 is divided by 351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.674156 rounded to 3 decimal places?\nAnswer: -0.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549cc (base 13) in base 11?\nAnswer: a5188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 812386701.856 take away 1?\nAnswer: 812386700.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - p + 993 = 3*f, -331 = -f - p. Calculate the remainder when f is divided by 79.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/4 + 727*q\/2 + 1453\/4 = 0?\nAnswer: -1453, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17095 is divided by 1141?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((1\/1)\/(-1)). Suppose -l + 4*l - 12 = v. Let o(u) = u**2 + 2*u - 6. Is 7 a factor of o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose -g + 5 = -2*g. What are the prime factors of g\/((-9)\/(-5) - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 6 (c) 0.6368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322938 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from snzooooodhonos.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 3*r - 16 = 34, -3*n - 36 = 4*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rosrkrosskooodod. What is prob of sequence dkd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43273?\nAnswer: 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 2, -40, 4.\nAnswer: -40, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381473, 762949, 1144425?\nAnswer: 1525901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -42.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5*h - 5. Let t be g(5). Let j = 14129 - 14127. What is the nearest to j in 0.06, t, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 9) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 56) + -25 + (11 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.480519ml in litres?\nAnswer: 0.007480519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {t: 2, g: 2, b: 11}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13926225802 + 0.351.\nAnswer: 13926225802.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(4\/25))**(9\/4)\/(h*(h\/h**(-4))\/h*h\/(h**(-1)*h)*h\/(h**(3\/5)*h)*h*h\/h**(1\/5)) assuming h is positive.\nAnswer: h**(-171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 59*m**2 - 1 + 12 - 4.\nAnswer: 59*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:13 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 3*q + 3. Let j be c(3). Let v be j*(0 - -1)*1. Calculate the greatest common factor of v and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 - 37*r**4\/24 + 64*r**3\/3 - r**2 + 6*r. Let c be t(30). Which is greater: c or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + 0*b**3 + 3*b**3)*((1 - 1 + 2*b)*(3 - 10 + 0) + 0*b + 0*b - b) in the form l*b + r*b**4 + a + x*b**3 + g*b**2 and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-3*(-4)\/(-6). Let k be -3 + p + (-2 - -6). Does 9 divide (-2)\/(5\/(-135)*k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 4769?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y + 2. Let d be b(0). Suppose n = -2*a + 64, d*n + a = 69 + 50. Suppose 0*m + m = n. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 84096?\nAnswer: 84096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.47107 nanograms in kilograms?\nAnswer: 0.00000000009447107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8529 to the nearest one hundred.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 189 in increasing order.\nAnswer: -1, 4, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = -102. Let j = k + 71\/2. Let u = -1 + 3. Which is the biggest value? (a) j (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:55 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.259, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 >= -2665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 - 2 + 2 + 1 + (0 + 0 - 1)*(7 - 3 - 2) + 0 - 1 + 2)*(3 - 1 - 1)*(4 + 5*u - 3 + 2*u).\nAnswer: 14*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 times -0.09?\nAnswer: 26.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(156) + sqrt(156)) + sqrt(156))\/(sqrt(144)\/sqrt(3)) + ((2*sqrt(78))\/sqrt(2) + sqrt(39))\/(sqrt(3) + sqrt(192)\/sqrt(4) + sqrt(3) + sqrt(3)).\nAnswer: -46*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 36\/11, -2?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 + 44.3. Let z = l - 58. What is the closest to 0 in z, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u. Let m = 4 - 7. Let f(g) be the first derivative of g**2 - 31. Determine m*v(q) - 7*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 32. Suppose 3*d - i = -3*h + 61, 5*h = 3*d - 37. Suppose -t - 5*x = 8, -t + 3*x = t - 23. What is the remainder when d is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 3*m + 2. Let c be g(4). Let f = c - -20. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14438656.\nAnswer: 2, 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-5)*14)\/((24\/60)\/(-1)). What is the highest common factor of 11991 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 2}. What is prob of picking 2 s and 1 u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26973 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 3*t - 2. Suppose 115*n + 82 = -27 - 6. Let w(p) = -7*p**2 + p - 1 + 13*p**2 - 7*p**2. Give n*r(d) - 3*w(d).\nAnswer: -2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 49. Let y = -30 - r. Suppose h + 2*h - 2*s = -8, -5*s + 5 = -5*h. Which is the third biggest value? (a) h (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-128 + -7)*1\/2. Let h(l) be the third derivative of 0 + 0*l + 1\/360*l**6 + l**2 + 0*l**3 + 1\/72*l**4 + p*l**5. What is b in h(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -983900 (base 12) to base 8.\nAnswer: -11146520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 4849?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58\/3 + 10. What is the common denominator of q and (2\/5 - 712\/1880)*38?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47272 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)\/o*(o\/o**3)\/o*(o\/o**(-2\/5))\/(o*o\/(o*o**(3\/5))*o) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -7 - ((-1 - 8) + 15)) + -1 + 111\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.229676 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqqqweaqaqwqaaqqq. Give prob of sequence wq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16644058231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((2 - -7 - 7) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195, 786, 1771, 3150, 4923?\n\"Answer: 197*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-2574)\/(-63))*12\/7\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:22 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*h - 4*a + 4 = 611*h, 16 = -2*h - 5*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1, -62864 in increasing order.\nAnswer: -62864, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/973 (b) 0.1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*w - 696*w + 228*w + 235*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -18*f**2 - 131*f + 8. Let g(s) = 27*s**2 + 190*s - 12. What is 5*g(i) + 7*r(i)?\nAnswer: 9*i**2 + 33*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 + 5*t - 9. Let d be o(3). What are the prime factors of 8\/d*1776\/(-64)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.115 and -665?\nAnswer: -76.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 171513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -969, -977, -985, -993, -1001, -1009?\n\"Answer: -8*w - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u. Let p be x(-3). Let h(w) = 3*w - w - 4*w + p + 5*w. Is 41 a factor of h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k*t**3 + 2*k*t**2 + 3*k*t + 2*k - 2*t**3 + 3*t wrt t?\nAnswer: -42*k*t + 4*k - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -147, -223?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2 - 22. Let d(q) = -7*q + 2*q + 3*q. Determine v(d(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -164 - -171 - -1*(3 - 4)*5. Find f, given that 1\/3*f**a + f + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d02b7 (base 14) to base 3\nAnswer: 1221201120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/3)\/(40\/(-660)). Suppose g = -28*q + 20*q. Let k be q\/198 - ((-110)\/9)\/1. Solve 2*s + k = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -12, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4674)\/(-532))\/(12\/7) - (-5 + -5 + 15)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.1513 millilitres in litres?\nAnswer: 0.2131513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7518 + 15782. What is c rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -15*f**3 + 41705*f**2 + 1851090*f - 3868880 = 0.\nAnswer: -137\/3, 2, 2824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 570636460 a multiple of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose -4*w + 176 = 16. Suppose -4*m = -2*j - w, 3*m - 5*j = 12 + 11. What is the remainder when m is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -725.\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.85041 (b) -0.5 (c) -2\/3 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614 - 681 - (4 + -1 + 0 + 30 + -34).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 786850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let h(r) = 2*r. Let n(j) = -4*h(j) + 9*m(j). Let i(f) = 3*f + f + 3*f. Determine n(i(b)).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 37 - 35*k - 18 - 15. Let b be s(-11). Suppose 7*u = -b + 1838. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((2*sqrt(1584) + -4 - sqrt(1584))**2 + (sqrt(1584) + (1 + sqrt(1584))*-1 + sqrt(1584) - sqrt(1584))**2)*-5)*-5.\nAnswer: -2400*sqrt(11) + 40040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 201?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 1 + 40*j**3 + 21*j**3 + 14*j**3)*(28 + 21 - 38 + (2 - 5 + 1)*(0 + 1 + 1)).\nAnswer: 525*j**3 + 7*j - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-808)\/702 + 1 + 8\/104\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 767*s**2. Let x(o) be the first derivative of -o**3\/3 - 845. Give p(x(w)).\nAnswer: 767*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -8. Let r be (-5 + (-42)\/2)\/(-2). Suppose -1 = 6*g - r. Solve -g*f - c = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 497 - 1793 = 0. Suppose 137*k = r*k - 65520000. What is k rounded to the nearest one hundred thousand?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -127. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -12 - (2 - (-7 + 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -489131692, -489131691, -489131690, -489131689?\n\"Answer: n - 489131693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p + 3*f, 2*p - 3*f + 5 - 16 = 0. Which is greater: 14 or p?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345 = -39*k - 76*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8179 (base 10) to base 5.\nAnswer: -230204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*v = -8616, 5*j = 4*v + 8871 + 12636. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k + 5*v = 30, -v + 4 = 0. Let c(u) = 8*u + 5. Let d be c(k). Let m = d - -17. Calculate the highest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3107 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(5\/2))\/f**(6\/5))\/(f**(2\/31)*f*f**(-4\/3)) assuming f is positive.\nAnswer: f**(-1331\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 13*u = -25*u + 130, -29 = -4*a - 3*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 24*n**2 - 82*n + 282. What is l(-19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78230, 78231, 78232, 78233, 78234?\nAnswer: 78235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {v: 1, k: 1, p: 1, j: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffmffmfmmfmf?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, 36, 138, 332, 648, 1116, 1766?\n\"Answer: 5*m**3 + m**2 + 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/5))**(5\/8)*t**0\/t**(2\/3) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, m: 7}. Give prob of sequence mttt.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*((-495)\/(-44))\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5786 is divided by 250?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3778\/11 + 344. Let t = k - 76\/99. What is the second biggest value in -0.1, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959210\/966 + 56\/1932 is divided by 197.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -791*w - 9028. Determine g(-15).\nAnswer: 2837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.35 - 1.45. Let m = -0.9 + s. Let t = -14 + m. Sort -5, 2, t, 1.\nAnswer: t, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614\/71557 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 - (4 - (-2 - -7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4a1c (base 14) to base 9\nAnswer: -18702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:21 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8389128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.8. Let c = -0.41 + 0.01. Let v = -3.4 - c. What is the third biggest value in -2\/3, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 18*k - 138. Let b(q) = q**2 + 6*q + 6. Let v(p) = -7*p - 7. Give k*v(m) + 7*b(m).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 6*s**2 - 35. Let c(r) = -4*r**3 - 13*r**2 + 70. What is 6*c(l) + 13*f(l)?\nAnswer: 2*l**3 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-267*j + 130*j + 129*j)*(-j**3 + 4*j**3 + 3*j**3) as r*j**3 + i*j + q*j**2 + f*j**4 + t and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 0.67. Let p = v - 0.719939. What is p rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 5*x**2 - 3*x + 4. Let d(t) = t + 4. Let m be d(-4). Let q(h) = 0 + 1 - h**2 + m - h + 0*h**2. Let r(y) = -3*q(y) + w(y). What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u - 9*u - 1 + 32*u. Let q be 10\/(-1)*(-1)\/2. Suppose -q*p + 6 = 1. Calculate f(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -14. Let h = -911 - -912. Which is greater: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15886 (base 9) to base 2\nAnswer: -10101010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8328 divided by -3\nAnswer: -2776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = 4*x - 91. Let d = x + 99. Let n = d + 77. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*1 + sqrt(100) + sqrt(100))\/sqrt(2))**2 + 0.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = -5*j, 5 = 2*g + 14*j - 13*j. Solve 3*k + 6 = -g*w, 4*k - 32 = -0*k + 4*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1 + -3)**2 + 1*sqrt(847).\nAnswer: 16 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 197 = -5*j, 0 = -3*y - j + 74 - 337. Let f = -42 - y. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1083*g**6*n**3 + 16*g**3*n**3 + 182*g**2*n**3 - 6*g*n - n**3 wrt g.\nAnswer: -129960*g**3*n**3 + 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145732 less than or equal to 145730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 133, 3\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231099216.\nAnswer: 2, 3, 23, 353, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -555 + 491. What is the remainder when 123 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 3931436.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1996313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 22*s + 5. Let p be k(3). Let y = -18 + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20245\/12 - 1686. Let v = -1963\/6 + 328. Let z = v - h. What is the closest to -1 in -1, z, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7 + 6 + 4*u - 5*u**2 + 0 + u**2. Let d(x) = -4*x**2 + 3*x. Let s(j) = 4*d(j) - 3*g(j). What is the derivative of s(n) wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12*p + 10*p - 6, 4*p + 12 = -m. Put 83, m, -5 in decreasing order.\nAnswer: 83, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k**2 + 11*k**2)*(3 - 2 - 3) - 14 - 3*k**2 + 14.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 15*a. Let h be (-4)\/(-18) - 301\/(-63). Let c be q(h). Suppose -14*p + 12*p + 578000 = c. What is p rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(1\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llelel. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-1*(3 + -1 + sqrt(1539) + -3)*1)**2*-4.\nAnswer: -30795 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fdf + 62f?\nAnswer: -9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*a - 10*a + 15, -6 = 4*z - 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 19*j. Let l(q) = q**3 - 17*q**2 + 19*q - 48. Let c be l(16). Let n(d) be the second derivative of c + 0*d**2 - 1\/2*d**3 + 11*d. Give n(g(x)).\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 14*i - 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.5. Let n = -54 + 37. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 109, 263, 479, 757?\n\"Answer: 31*m**2 - m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**6\/1620 - a**5\/540 + 5*a**3 - 23. Let h(o) be the third derivative of y(o). What is i in h(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 20*r + 22. Let t be c(17). Suppose 0 = 4*g - t + 60. What is the remainder when g is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615321 is divided by 5701?\nAnswer: 5314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-54212.239\nAnswer: -2168.48956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13 + 2 = 5*l, 4*l - 29 = -5*w. Let u = 23 - 18. Let i(c) = -c**2 + 2*c + 10. Let n be i(u). Put l, -1, n in descending order.\nAnswer: l, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 125?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let h = 10 - q. Let a(u) = -u + 3. Let w be a(h). Let j(t) = 4*t + 1. Determine j(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38 and -3\/11233?\nAnswer: 11233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 14*n + 20. Let l(x) be the second derivative of 1\/120*x**n + 0*x**4 + 0*x**2 + 0 - 4*x - 1\/36*x**3. Determine r so that l(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i - 8. Let y be s(-2). Solve y = 3*w + 2*p + 17, -2*w - 2*w = p + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x + 210. Suppose x + 3 = z. Let r = 60 + -51. What is the greatest common factor of z and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 852486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 19. Suppose 0 = -5*n + l + 13, -s*n + 5*l + 18 = l. Solve -6 = 4*v - n*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.052 + 0.252. Suppose 5 = -5*o - 5. Let n = -3.1 - -3. Sort n, i, o in ascending order.\nAnswer: o, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:16 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*j, 3921 = -3*w + j + 7847 - 3924 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4334 and 22770442?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 3, 11, 0.\nAnswer: 0, 3, 11, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 138005 = 2*f. Let s be (-4)\/12 - f\/3. What is s rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 65, 0.4, 3, 666?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:06 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 0.296067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 4. Let k(c) = -2*c - 2. Let g(z) = -14*k(z) - 6*q(z). Give g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h + 132*h = -221*h + 271*h - 11390 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4611\/7 + 659. What is the nearest to -2 in 0.1, f, 1\/6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 57 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**4 + 0*l - l**2 + 0 - 1\/180*l**5 + 1\/540*l**6 - 1\/6*l**3. Let j(x) be the first derivative of f(x). Factor j(s).\nAnswer: 2*s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 119140*s**3 + 1768803546*s**2 + 163487005640*s + 3766008390152.\nAnswer: 2*(s - 29831)**2*(s + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1980748 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322111153 is divided by 964?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9812 = -38*q + 27*q. Let t = 895 + q. Suppose -2*c**2 + 6\/5*c**t - 32\/5*c + 24\/5 = 0. Calculate c.\nAnswer: -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004633 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.018? (a) -1\/6 (b) 2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w - 14. Suppose 2*a - 26 = -3*x, 9*x - 6 = -a + 4*x. Suppose -5*v = -61 + a. What is the tens digit of f(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -86277 + 11836386.3?\nAnswer: 11750109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 = k, 0 = k + 2*c - 5. Let m be -1 - -10*k\/2. What is the third derivative of -2*o**4 - 4*o**2 + 9 - 9 + 5*o**m wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 567913, 2271692, 5111323, 9086806, 14198141, 20445328?\n\"Answer: 567926*x**2 + x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -15, 3, -1 in increasing order.\nAnswer: -15, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(-6)\/(f*f*f*(f\/(f\/((f*f**0*f)\/f)*f))\/f*f\/f**(1\/4))*(f**(2\/3))**6\/(f**(-2))**(-26) assuming f is positive.\nAnswer: f**(-227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*y + 29, 2 = -k + y - 2*y. Let f(g) = -3*g**2 + 8*g - 5. Let z(x) = -3*x**2 + 9*x - 6. Let h(r) = k*z(r) + 6*f(r). Factor h(t).\nAnswer: -3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let x be 6\/(-21) + (-16)\/(-7). Let y = x + l. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1326372365 and -9.1?\nAnswer: 1326372374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359 + -355. Let z be ((-2)\/(-8))\/(6\/(-40)). Let c = 26.2 - 30.2. What is the third biggest value in c, m, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, e: 4, h: 4, l: 3}. What is prob of picking 2 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -65. Suppose 0 = -6*q + 3*q - 5*o + 13, -4*q + 3*o + z = 0. Find the third derivative of i**2 - 11*i + q*i - i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -311078700 to the nearest 100000.\nAnswer: -311100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*b + 1. Let h(p) = p**3 + 7*p**2 + 8*p + 3. Determine h(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m - 16. Let f be -7 - (18\/(-1))\/((-12)\/3)*-2. Sort f, -3, -5, m.\nAnswer: -5, m, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 + 3*b - 7. Let v(z) = -2*z**2 + 2*z - 3. Suppose 5*j - 7 = -4*h, -93*h = -3*j - 96*h. Calculate j*v(y) - 4*r(y).\nAnswer: 2*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -5 + 3*sqrt(175)*-1 + 0)**2.\nAnswer: 210*sqrt(7) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3273899, 6547939, 9821979, 13096019, 16370059, 19644099?\n\"Answer: 3274040*h - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from {g: 4, k: 3, o: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*o + 15, -3*h + 3 = -7*h - o. Let y be (h - (2 + 0)) + -1. Calculate the common denominator of -57\/16 and 95\/15*y\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4800))**2 + 2.\nAnswer: 19202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let m(s) = 35*s + 10. Let l(k) = 3*d(k) - m(k). Is l(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.6 + 57. Let g = b + 1.6. Suppose -4*l = -9*l. What is the nearest to l in -3\/2, -4, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.5 and 224611061.\nAnswer: 224611051.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240.935 * 864.\nAnswer: -208167.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 c when three letters picked without replacement from ikiijrjjciic.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*n + 2*x, -3*x - 3 = -n + 2. Calculate the lowest common multiple of n and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/143 (b) -3\/4 (c) -7 (d) 334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -905 or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 16. Let z(t) = -d + 10 + t + 28*t**2. Is 17 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50\/237 in -3\/4, 2\/17, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9040 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10041.5927742163 and 4.\nAnswer: 10045.5927742163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -28 - 5\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -9, -5, 11, 45, 103, 191?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -2*d, 3*d = -s - 4*s + 10. Suppose -13 = -s*f + 9. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53564 (base 10) to base 11.\nAnswer: 37275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140743 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 193. Let v = h + -190. Solve -d - v*d + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/72 - (0\/(-2))\/(-3) and -83\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, 51, -2\/13 in increasing order.\nAnswer: -4, -2\/13, 4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432432?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = 12*a - 240. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845994027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 4, r: 7, h: 5}. What is prob of sequence ir?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3118, 3111, 3106, 3103, 3102, 3103?\n\"Answer: v**2 - 10*v + 3127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*f + 13 - 1, -4*f = -w + 21. Let p(l) = -l**3 - 5*l - l**3 + 4*l**3 + 5*l**2 - l**3 + 6. Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:26 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + sqrt(3))*1 + sqrt(432)*2 + sqrt(3))**2.\nAnswer: -54*sqrt(3) + 2188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a63b3 (base 12) to base 5.\nAnswer: 221333131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89666358 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65581.12mm in kilometers?\nAnswer: 0.06558112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126959 is divided by 375653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4, -10 = -4*d + 2*d + g. Suppose 0 = -d*c - 5*y + 3*y + 259, -5*c + 395 = -4*y. List the prime factors of c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120084 is divided by 403?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 38*y**2 - 7*y - 13. Let d(a) = -13*a**2 + 2*a + 4. Determine -7*d(o) - 2*r(o).\nAnswer: 15*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/6 - (-26)\/6. What is the closest to d in 4\/3, 2, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 29. Let q be d(-10). Suppose -27 = 3*y - 3*a, -q + 49 = -4*y + 2*a. Calculate the remainder when 10 is divided by y\/(-3) + 22\/(-6) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564 or 2826\/5?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1941\/(-2588))\/((-12)\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/408 and 149\/4584?\nAnswer: 77928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2. Let i(f) = -615*f**2. What is b(i(y))?\nAnswer: 1134675*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.5675 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0. Let q(z) = z**3 + 13*z**2 + z + 8. Suppose 4 = 2*y + 30. Let p be q(y). What is the nearest to 0 in 1\/7, p, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3760\/7 + 536. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890836 is divided by 890774?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(102))\/(sqrt(864)*1).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2 + 0 + 5*(sqrt(208))**2.\nAnswer: -2*sqrt(13) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565321, 2261295, 5087919, 9045193?\nAnswer: 14133117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 80 = 3*n - 3*i, n = 3*i + 50. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -93. Let s = y - 41. Solve -8 = -t + 3*g, 3*g + s = -t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z - 20*z - 13*z + 55*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108) - sqrt(108)) + -1 + -4)**2 + -5*(sqrt(108) - sqrt(108)*-2*-4 - sqrt(108))**2.\nAnswer: -34427 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1446.\nAnswer: -1445.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 809, -2, -29 in ascending order.\nAnswer: -29, -2, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/463 - -2291\/2778. Sort w, 2, 1\/3.\nAnswer: 1\/3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/20 - g**4\/12 + 14*g**2. Let a = 4 - 2. Give x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 21. Calculate the common denominator of ((-1)\/d)\/(14*(-2)\/(-360)) and -61\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 626.87 - 594.877. Let q = a - 32. Round q to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -23, -37, -53, -71, -91?\n\"Answer: -q**2 - 9*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139145 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, y: 5, c: 2}. What is prob of picking 4 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 8, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53485*j**2 + j - 53136*j**2 - 572 + j with respect to j.\nAnswer: 698*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 3. Let d(o) = -251*o + 13. Determine d(i) + 2*z(i).\nAnswer: -239*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 29*t - 54. Let s(v) = -3*v**2 - 44*v - 81. Let y(o) = -7*j(o) + 5*s(o). What is the remainder when 131 is divided by y(-12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.371 + 0.371. Let v = -4.06 + 0.06. Let s = v + 6. Put q, -5, s in decreasing order.\nAnswer: s, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.97 - 311.03. Let p = x - -312.3. What is the fourth smallest value in 0.5, -2, p, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c - 4*z, 5*z + 31 = -8068*c + 8071*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12668.\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -4, 6, -1.\nAnswer: -4, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 71000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21e975 (base 15) in base 6?\nAnswer: 54410132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 - 5577*j**2 - 192219*j - 1641231 = 0. What is j?\nAnswer: -17, 1893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1527 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c**3 + 17*c**2 + 3*c + 11. Let w(z) = -5*z**3 - 6*z**2 - z - 4. Let b be 5\/(-10)*(-22)\/(-1). Let g(y) = b*w(y) - 4*x(y). Factor g(v).\nAnswer: -v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - t + 507, 3*u + 185*t - 188*t - 507 = 0. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2527\/4 - 645. Suppose 0 = n + 1, -2*r - 3*n - 607 = -6*r. Calculate the common denominator of h and 2\/(-6)*r\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2195 - 2035. Calculate the highest common divisor of y and 2320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 10*s**2 + 16616*s - 33206. Calculate c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 613 + 613 + 5*s**2 as x*s + b + i*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10502, -11335, -12724, -14669?\nAnswer: -17170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36633183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 19. Let o = -6 - h. Suppose -j = -f - 5, 3*j - 6 - 14 = 4*f. Solve 3*c = -o - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 - 18*a + 27 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*j**5 + 20*j**2 + 40*j + 19.\nAnswer: -320*j**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4967738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-60)\/(-100) + (-3 - -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 1\/6*w**3 - 9*w + 0 - 2*w**2 + 1\/12*w**4. What is h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 31. What is the common denominator of -157\/42 and 589\/1953*-1*h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 6*k**2 - 5*k + 30. Let j be i(0). Which is the smallest value? (a) -0.5 (b) 3 (c) 0.14 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 - 7*c**3\/3 + 7*c**2\/2 + 11. Let o be f(6). Suppose 0 = o*k - 778 + 112. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 0.15. Which is the nearest to -1? (a) y (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuuuuuusuuu. Give prob of picking 3 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9339 - -9367. Suppose -2*l + 5*h = -27, -8 = -l - 3*h + 22. What is the greatest common divisor of l and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/756 - 4\/(-7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*r + 0*r + 0*r) - 3*r + r + r + (-10*r + r + 2*r)*(4 + 0 - 6) + 3*r - r + 0*r + (4 - 2 - 1)*(4*r - r - 5*r) + 2*r + r - 5*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1564*-47\nAnswer: 73508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -41.777, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -503?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/7 - 288*l**2\/7 - 780*l - 1400.\nAnswer: -4*(l + 2)*(l + 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159793.83 - -158589. Let i = -1212 - z. Round i to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -685631 or -685616?\nAnswer: -685631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 212997 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -164289 and -164695 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38911\/668 + 312\/(-6).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*l + 4*l + 2*l)*(2 - 2 + l) + 2*l**2 + 0*l + 0*l - 2*l**2 + 5*l**2 - 2*l**2)*(-3 + l + 3)*(-2 + 5 - 1) to y + o*l + q*l**3 + u*l**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.1 - -32. Which is greater: w or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293360000 rounded to the nearest one million?\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4128 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(51)\/sqrt(3) - sqrt(17)*1*-1)**2*-5 - (1*sqrt(187)*-1)\/(sqrt(11) + (2*sqrt(132))\/sqrt(12)).\nAnswer: -340 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/5))**(1\/27)*(k**0)**42)**(-49) assuming k is positive.\nAnswer: k**(-49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:59 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*i - 22 = 0, 73 = 5*h - 2*i - 6. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + z**2 + 2 - 9*z**2)*(3*z + 1 - 1)*(0*z - z + 3*z).\nAnswer: -24*z**4 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 4\/3*q**3 + 0 - 9\/2*q**2 + q. What is the first derivative of d(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/21 - 0) + (-84)\/(-49). Let x be (3\/u + -2)*(-308)\/(-22). Let y(c) = -c - 3. Calculate y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and -15034.138955317.\nAnswer: -15078.138955317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13a23 (base 15) to base 12\nAnswer: -30589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -180849*k + 180824*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + -14.69. Let f = k - -15.1. Let a = -2.8 - -3. What is the third smallest value in a, -0.1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*d = -2 - 14, 2*g + 5*d + 50 = 0. Let z be (((-104)\/g)\/(-13))\/(1\/(-1000)). What is z rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 = 2*f + 2, -2*y - 5*f + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*x - 82*i**3 + 1243*i**2*x wrt i.\nAnswer: -6*x - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2468 + -9)*(2 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.136862726 minus 5343?\nAnswer: -5343.136862726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddxd. What is prob of picking 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tstttttstata. Give prob of sequence tst.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(-3)\/((-9)\/2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -17*l**8\/336 + 4*l**5\/15 + 16*l**2. Find the third derivative of q(f) wrt f.\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(2)))\/(sqrt(576)\/sqrt(9)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/(c**(-2\/11)*c*c)*((c*c**1\/c*c)\/c)\/c*c**(-6\/5)*(c**(4\/5)*c**0)**9 assuming c is positive.\nAnswer: c**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 267, 5, -4.\nAnswer: -4, -1, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/18 - q**3\/3 - 6*q**2 + 3*q - 10. Suppose a(j) = 0. What is j?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/164, -66, -5\/4 in ascending order.\nAnswer: -66, -5\/4, -5\/164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((7 - 27) + 9 - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -91. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 7333?\nAnswer: -732a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 9978?\nAnswer: 9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-7 + 7 - 6*d)*(-1 + 1 - 1)*(-3 + 4 + 0)*(10*d - 67 + 67).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162 + 174. Is k\/(-2) - -6 - -5489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 g, and 1 o when four letters picked without replacement from opgg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1702 + 556*l - 848 - 854 to x + q*l and give q.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49891, 49988, 50095, 50218, 50363?\nAnswer: 50536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -435 and -18.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4418*l**5\/11 + 16732*l**4\/11 - 21382*l**3\/11 - 66728*l**2\/11 + 14840*l\/11 - 800\/11 = 0. What is l?\nAnswer: -4, -2, 5\/47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 + 17 = 0, 0 = 2*l - 2*i - 76. Calculate the lowest common multiple of 84 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 2. Let d be c(-3). Let l = d + 11. Let y = -35 - -45. What is the remainder when y is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**6 + 2917*c**4 - 16*c**3 + 9370685*c**2 wrt c.\nAnswer: 360*c**3 + 70008*c - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53130 (base 8) in base 5?\nAnswer: -1201404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11180\/3, -38, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217026485.\nAnswer: 5, 727, 609911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-26)*(-24)\/21)\/((-3)\/2)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 51 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -1. Let w be (2 + (-11)\/5)*1. What is the closest to t in 2\/17, 1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15588675*b. Let p(h) = -h. Give o(p(a)).\nAnswer: 15588675*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12325 in 0.1, -2, 2\/7, -0.03?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/48*-3)\/((-8)\/(-64)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*n = -2*n - 1531, -n = -3*f + 2313. Calculate the greatest common factor of f and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6051150 + 5997588 = 678*q for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*m = 11 + 29, -h = -2*m - 16. Suppose -9 = -2*k - v, -3*k + h*k + v - 13 = 0. Let n(j) = 10*j**2 - 1. Let i be n(-1). Solve k*a = i*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -2*i, -3*x - 2*x + 19 = 4*i. Suppose x*w = 10*w - 616. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001814802 rounded to seven decimal places?\nAnswer: 0.0001815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 1\/7 (b) -6\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(-2 - 2 + 3) - 10 - 9 + 8)*(17*v**2 + 58*v**2 - 15*v**2 + 5*v**2).\nAnswer: -585*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102\/211 - -4872\/17935. What is the common denominator of z and 74\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-2 - (-2 - -11)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 2\/5 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/5)*b)\/b)**(-2))**2 assuming b is positive.\nAnswer: b**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160106, 159961, 159816?\nAnswer: 159671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*m + 627, -2000 = -2*v - 2*m - 716. Let w(b) = 49*b**2. Let q be w(-1). Calculate the greatest common factor of q and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -74. Let s(h) = -6*h**2 + h**2 + 3*h**u. Let t(v) = -2*v + 9. Determine s(t(a)).\nAnswer: -8*a**2 + 72*a - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16013*n**2 + 2114*n**2 + 4527*n**2 + 6383*n**2.\nAnswer: 29037*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669.328 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 5*q - 5. Let w(f) = 2*f**2 + 4*f + 5. Suppose 0 = 2*l - 4, -15 = 3*v - 2*l + 1. Calculate v*x(k) - 5*w(k).\nAnswer: -2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21626296 a multiple of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 11077.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 10*l - 1. Let y = -262 + 267. Calculate n(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10650555197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 u when three letters picked without replacement from {s: 1, o: 1, u: 1, i: 1, c: 2, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1010000 (base 2) to base 10\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*m = -14, -2*c + 2*m + 8 = -12. Let p be 3\/(c\/234*-9). Let q(f) = f**2 + 12*f - 14. Determine q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 - n**4\/8 - 3*n**2. Find the second derivative of m(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6153?\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -132013640 (base 7) to base 4\nAnswer: -200110331300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*i. What is z in 3*z**4 + 0*z**i - 3*z**3 + 15*z**2 - 2*z - 9*z**3 - 4*z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3669946*s**2 - 59*s - 7818 wrt s.\nAnswer: 7339892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 3*m**3 - 7*m**3 - 35*m**3.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.471 times 134428\nAnswer: -63315.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - 19.2. Let o = a - -12. Let t = -9.00015 - o. What is t rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 29*o**2 + 2*o**3 - 275139479666 + 275139479666.\nAnswer: 2*o**3 + 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 + 123*r**2 + 3*r**3 - 96*r**2)*(-5*r + 3*r + 0*r) in the form z*r**2 + c*r + b + y*r**3 + x*r**4 and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-248)\/8*(7 - 2). Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 49\/(-5 + 4)*1. Let v = 76 + b. Let l = v - 25. Solve -8 = -l*h, h - 3 + 14 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 a factor of 660277926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576811170.\nAnswer: 2, 3, 5, 13, 493001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5662123 years to millennia.\nAnswer: 0.0005662123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-60))\/((-16)\/10). Suppose 7 = 2*n + 3*b, 2*b + 3*b = -2*n + 17. Let d = 19.58 + 0.42. What is the closest to 1 in d, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33743 is divided by 624.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**2 + 1699808*y - 180584202304 = 0.\nAnswer: 212476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 154551.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*1 + 6\/2. Let g be 92 + p + -4 + 4. Suppose u - 22 = -g. Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k - 3 - 3*k - 2 + 2. Let x(i) be the first derivative of i**2 - 4*i - 452. Determine 4*w(p) - 3*x(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2968\/15 - -593\/3. Let r = 3.3 + -3. Let l = -0.2 + r. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 6*n + 5. Suppose -5*z = -55 - 0. Let g(r) = 13*r**2 - 11*r + 9. Give z*y(w) - 6*g(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3113806 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 10*m + 11. Let z be g(4). Suppose 0 = -p - 3*w + 8, -p + z*p + 3*w = 4. Which is the nearest to -1\/3? (a) p (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15 + 8 - 3*i**2 + 7. Let x(d) = 0*d**2 + d**2 + 2*d**2 + 0*d**2. Calculate x(t(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4625 and 21090?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(1 + 0 + 0)*(0 + o**2 + 0)*(-273*o - 737*o + 247*o).\nAnswer: -763*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4 - 5 - 0) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1270867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-1\/21)))*q**(5\/6)\/q)**(17\/6)\/(q\/(q*q*q**(-1\/6))*q**(1\/10)\/q*(q\/(q*(((q**(2\/7)\/q*q)\/q)\/q)\/q))\/q*(q*q\/q**7)\/q*q) assuming q is positive.\nAnswer: q**(3043\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 34272990.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 26 + 67 - 2290*u)*(-2 + 2 + 1).\nAnswer: -2290*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*i + 19 = 0, -5*i - 2 + 7 = 0. Let k(v) = -v + 1. Let g be k(1). Suppose -5*a + 64 - 14 = g. What is the remainder when a is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-42)*6*(-2)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1\/2, 41, -0.0591, -0.1?\nAnswer: -0.0591","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/17 + 3998*s**3\/17 + 1728414*s**2\/17 - 279083318*s\/17 - 1143732536\/17 = 0.\nAnswer: -1061, -4, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001100110 - 1001000000?\nAnswer: -111010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 14*q - 7. Let u be m(-10). Let w(l) = -5*l + 4*l - 16 + u + 2*l. Let g be w(-15). Solve -g*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 69*t + 539. Give y(52).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 3*w - 9. Let d be v(4). Let n be -3 - 0 - (-351)\/d. Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 36 - 767*n + 5063*n.\nAnswer: 4296*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/180 and -79\/1360.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/13, 1\/8, 31 in ascending order.\nAnswer: 1\/8, 18\/13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4514734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1470))\/(5*sqrt(250)).\nAnswer: -21*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48583788 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 t when three letters picked without replacement from {m: 1, t: 1, i: 5, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 6359, 4, 7.\nAnswer: -18, 1, 4, 7, 6359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2. Suppose v + 5*m + 24 = 0, 3*v + 4*m = 2*m - 7. Let d be 3 + v + -7 + 5. Calculate the remainder when w(d) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 3)*(-19 + 15 + 13)*(-7*o**3 + o**3 + 3*o**3).\nAnswer: -243*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*o - 19 = 4*q, o - 32 = -4*q. Let y = -5 + q. Suppose 50 = y*c + 3*v - 30, -3*c - v + 106 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -51 - 19\/3*h**4 - 5\/3*h**3 - 2*h + 3\/2*h**2. What is the second derivative of m(w) wrt w?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.702 - -1.002. What is the nearest to 0.4 in -1\/2, p, 2\/5, 1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 199 - 134 = 0. Suppose 33*x - j*x = -2984. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3020 + -2242453?\nAnswer: -2235433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, -2*t = 5*s - 697 + 214. Suppose 3*c - 4*y = 155, 0 = -4*c + y - 5*y + t. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2.213.\nAnswer: 6.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 462 + -241. Calculate the greatest common factor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/((-1)\/(2\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -5, 0.\nAnswer: -113, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 + 11*p**2 + 3*p**2 + (2 - 3*p - 2)*(-40 + 16*p + 40).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 13*w**2 - 174*w - 1176. What is l(-19)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2655 + -2669. Which is the second smallest value? (a) y (b) -0.5 (c) 0.2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/21 and 4\/637?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -40.012. Let g = m + 1.872. What is g rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 1, -2, -0.3 in decreasing order.\nAnswer: 1, -0.3, -12\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 174\/(-22)*38\/6. Let l = b - -50. Calculate the common denominator of -32\/3 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-13)\/(-65)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 - s**5\/10 + s**4\/12 - 3*s**3\/2 + 12*s**2. Give z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-10))\/((-46)\/69*(-9)\/(-30)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20791, 41671, 62553, 83437, 104323?\nAnswer: 125211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 896*q + 2541 - 2541 - 3*q + 3*q + q + (1 - 3 + 3)*(0 + 2*q + 0) + 8*q + q - 5*q - 4*q + 0*q + 0*q.\nAnswer: 899*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134222 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2*q + 1 - 1) - 4*q - 5*q + 3*q + (-1 + 1 + 3*q)*(2 + 1 - 4).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1563490*t**4 + 1448*t**2 + 3.\nAnswer: -37523760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 426564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2)**27*k**(-4)\/k**(3\/10) assuming k is positive.\nAnswer: k**(-313\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/49 (b) -9 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 132753 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28864 + -28869. Let r(v) = -5*v**3 - 3*v + 2. Let h(l) = -10*l**3 - 6*l + 5. What is g*r(j) + 2*h(j)?\nAnswer: 5*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 336506.\nAnswer: 3365060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 8*v - 26. Suppose 3*m - 16*t + v*t - 6 = 0, -4*m + t = -23. What is the lowest common multiple of 9 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -k + 53, -5*k + 6*k = 3*m - 151. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ezeetttztzt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -373*p + 11551. Determine s(31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*q + 9 - 1 = 0, 0 = 2*t - 5*q + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648110 divided by 1824055?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3636 and 12524?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/43 (b) -0.1 (c) -0.1256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 2. Let x(r) = -39*r - 13. Let g(j) = 6*w(j) + x(j). Let d be (-2)\/7 + 52\/(-14). Is g(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m - 143. Let y be x(13). What is the highest common divisor of 299 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -171*i**2 - 51*i - 49. What is k(-1)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 10:51 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1001020?\nAnswer: -1001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*-3*57\/(-342). Which is the nearest to -1? (a) 0.5 (b) 3\/7 (c) 0.067 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -68.000065. What is p rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 5, -2\/5, -0.1, 0.5, 1492?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20688940357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from tvyvyyfvthftvyvvvf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 476*a**3*w**2 - 5*a**3*w + 878*a**3 - a**2*w**2 - 2*a**2 + 11*a*w**2 + 28109*w wrt a?\nAnswer: 2856*w**2 - 30*w + 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 0*d**2 - d**2)*(-5 - 5*d**2 - 8 + 3*d**2) - 3*d + 51 - d**2 + 2*d**4 - 84 - 35 to z*d + o*d**2 + l*d**3 + c*d**4 + b and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/19 + (-55751)\/(-3743). Let b be (3 - -9)\/(2\/20). What is the highest common factor of b and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 13, h: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) + 164\/9. Let t be (a\/(-3))\/((-4)\/(-30)). Let g be ((-6)\/(-15) + -2)\/(18\/t). Solve -3*z + 3 = -g*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2758819 and 67\/1330.\nAnswer: 27588190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v + 9. Let t be w(7). Find the third derivative of 43*d**2 + 5*d**6 + 0*d**6 - 51*d**t wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 201152?\nAnswer: 201156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -194 or -200?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135030 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -3 + 4*o**2 - 7*o + 2\/3*o**3. Is x(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*s + 99, s = -2*j - 0*s + 40. Suppose -3*c + 4*b + 122 = -9, 5*b + 136 = 3*c. What is the remainder when c is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6054)\/8)\/(105\/(-24) + 4). Suppose 3*x + 5*k = 4*k + 1210, -t = -5*x - 3*k. What are the prime factors of x?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1118 + -1117.7. What is the third smallest value in -3, -1.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 0*q + q**2 + 6*q**2 + 0*q. Let j(c) = 766 - 766 + 3*c. Calculate u(j(b)).\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3 + 0 + 0 + 2 + (1 + 2 - 2)*(3 - 2 + 0) + 4 + 0 - 2 - 3 + 3 - 2 + 0 + 0 - 5)*(354 - 94*a - 502 + 56*a) in the form b*a + t and give t.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*18\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991713.6 kilometers in millimeters?\nAnswer: 991713600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 529, 0.266, 5?\nAnswer: 529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2852 (b) -4\/5 (c) 41 (d) -2\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 692087 and 507037.\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12124*h - 6586*h - 5542*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 8:22 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99516 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -12 - (1 - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose 4*j = -3*m + 358, 5*m - 388 = 2*m + g*j. Let v = -80 + m. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2747 - 586. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2028*o - 280*o + 494*o + 447*o - 1580*o + o + o - o + 3*o + 0*o - 4*o + (4*o + o - 4*o)*(1 - 3 + 1) - 2*o + 0*o + o as s + n*o and give n.\nAnswer: -2949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, 5, -3, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(2\/27)))\/v)\/v)**(-2\/43) assuming v is positive.\nAnswer: v**(112\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -24. Suppose c + 3*x = u, -4*x - 25 = -4*c - 9*x. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0 + 8 - 4 + h. Let k be (4\/(-2))\/(4\/6). What is j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/654 and 5\/436.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/(2268\/1296*(-30)\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185860*d**2 - 3*d**3 + 189362*d**2 - 375222*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**20)\/j**0)\/(j**(-1\/15)*j**16))**(-2\/3) assuming j is positive.\nAnswer: j**(1048\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxfltttftfcltk. What is prob of picking 1 f, 1 c, 1 l, and 1 k?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 + 23 + -1 + -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let w = 4.96 + 0.04. What is the third smallest value in -2, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:21 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 t when four letters picked without replacement from {u: 4, a: 1, t: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -73 - -9) + (0 - (-4 + -11 + 23))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12\/121, 364, 4, -3 in increasing order.\nAnswer: -3, -1, 12\/121, 4, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1260\/31457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -2*m. Let f = -118.6 - -7.6. Let b = 106 + f. What is the closest to m in 4, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 4*v, 0*v + 3*v + 3 = 0. What are the prime factors of k*(-2 + (0 - 21\/(-3)))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(882\/28)*21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 2. Let n be l(5). Solve -n = 4*v - 5*m, -m = -4 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -694149 divided by 6\nAnswer: -231383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 32 = 2*a - s, 5*s - 25 = 0. Let u be (-4)\/(a\/40 - 4). Solve -2\/13*m**4 - u*m - 24\/13*m**2 + 0 - 12\/13*m**3 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*l - 344*l + 1044*l - 345*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 5*w + 236. Calculate b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m - 192 = -5*r, -4*r + 2*m = -152. Suppose 0 = -167*v + 170*v. Suppose v = 3*t + 393 - 693. Calculate the highest common factor of t and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose y - 24 = -2*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.1826 - -0.0926. What is j rounded to 1 decimal place?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1856 and 43\/2.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*z + 120, 885*q = -3*z + 890*q - 78. Let m(x) = -5*x - 140. Determine m(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = 58*p - 194*p. Suppose -7\/2*g - 2*g**p + 3 + 5\/2*g**3 = 0. Calculate g.\nAnswer: -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52713 is divided by 268?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 32\/(-14))*(-270)\/20. Let y = -250\/63 + f. Which is the smallest value? (a) y (b) 0.5 (c) -5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 3) in base 2?\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.06 - -12.56. What is the nearest to -4 in 2\/9, -1, -3\/2, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 + 88484*k**3 + 1423753514*k**2 + 9845531328072*k + 24761606536414728 = 0?\nAnswer: -14387, -7734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 434 = -248 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca862 + -2?\nAnswer: ca860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 3*c**4 - c**4 + (-3*c**3 - 2*c**3 + 4*c**3)*(-c - c + c) - 3*c**4 + 4*c**4 + c**4 - 2*c**4 + c - c + 2*c**4 - 2*c**2 + 2*c**2.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 55 = -13*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -10\/13, -1.3?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5274, -21886, -49832, -89112?\nAnswer: -139726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.6. Let t = -92 + 91.6. Which is the smallest value? (a) u (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 48. Suppose 7*o = 8*o - r - 168, 0 = -4*o + b*r + 670. Suppose f - 228 = -5*c, -2*f - c = -578 + o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 893*z + 0 + 0.\nAnswer: 893*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11617264 to the power of 1\/2, to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 9) to base 2\nAnswer: 10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1026 and 3420?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(363)*-1 + 2) - (-2 + sqrt(363)*3)*5)**2.\nAnswer: -2464*sqrt(3) + 71212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a + 222 + 196 = 2368 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 3*z + z)*(2*z + 2*z**2 - 2*z + (-2 + z**2 + 2)*(0 + 1 + 1) + 2*z**2 - 3*z**2 - z**2) + z**3 + 0*z**2 + 0*z**2.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 8*t. Let j = 7 - 11. Let h be ((-2)\/j)\/(1*(-5)\/(-60)). Determine z(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4250309?\nAnswer: 7, 127, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 12 = -2*x, -58*x + 38*x = -98*m + 110*m - 152 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -1 (c) -2\/315 (d) 5 (e) 5\/2 (f) 423\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o + 1949. Let s be r(0). Let c = s + -1282. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*r = 290*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 5.4\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11380.73235 to zero dps.\nAnswer: 11381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (143 - 63 + 4*s - 60)*(10*s - 9*s + 7*s) in the form g*s**2 + j*s + m and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6144 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = u - 40, -4*l + 7277*u - 7275*u = -18 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41049053.\nAnswer: 31, 149, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) + sqrt(88)*2))\/(sqrt(256)\/sqrt(8)).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 1. Let l(d) = 5*d - 4. Let v(f) = -4*f + 3. Let c(h) = 5*l(h) + 6*v(h). Let x be c(9). Suppose -4*u - 4 = 0, -2*u = -5*q - x*u + 20. Give w(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + (44 - 60) + (1 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + -1)*3\/9. Suppose -2*z + 148 = 5*k - 92, 3*k - 144 = -v*z. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) -0.5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 30. Suppose q - 6*q + z = 0. Suppose s - q*s = -13. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 9*s. Let z(t) be the second derivative of t**4\/12 + t**3\/3 - 52*t. Determine -2*x(m) + 9*z(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*r - 226 - 190, 3*k - 418 = -5*r. What is the smallest common multiple of 11 and r?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12871815 and 14223.\nAnswer: 12871815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 96. Let h be 0\/c + 6\/1 + -1. Calculate the greatest common divisor of 20 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.3. Let i(n) = n**3 - 18*n**2 - 40*n + 4. Let u be i(20). Which is the third smallest value? (a) u (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -d1e09?\nAnswer: -d1e0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8273318 and 41747?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 72\/(-20))*10. Suppose 5*w = -4*s + 30, -2*s + 0*s = 4*w - 18. Solve -4*y + 32 = -4*a - a, -4*y - w*a = -i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 101, -10, -123?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1006\/7 + 144. Let t = -27 - -26.75. Let l = 0.25 + t. What is the second biggest value in -2\/17, -0.5, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993.09*-9.24.\nAnswer: 9176.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 282*y**2 + 8*y + 471*y**2.\nAnswer: 753*y**2 + 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.33 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + 5*q. What is the fourth biggest value in -1, 4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 + x - 1. Let t(o) = -3 + 0*o + 2 - 1 + o. Let j be t(3). What is h(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a63 - 206?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = 5*r. Suppose 2*k + 2*j - 17612 = 0, r*k - 26 - 35207 = 5*j. Let v = 87991\/10 - k. Calculate the common denominator of v and -127\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(-1)*99\/627.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3206\/(-4)*-1)\/((-21)\/(-42)). Let f = m + -312. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19012 + -19013. Sort -74, -2, y.\nAnswer: -74, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 + 1562*o + 20706. Calculate r(-13).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20772.13mm in micrometers?\nAnswer: 20772130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60780.78ml?\nAnswer: 60.78078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**3 + u. Let f(g) = g**2 - 9*g - 9. Let x be f(10). Let j be p(x). Suppose 4*z - j = 0, 3*c + z + 3*z - 25 = 0. Solve 0 + c = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*((-51)\/(-6) - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 42 + b - 37 - 44 + 94.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.49 + -0.09. Let h = q - -0.6. Which is the nearest to 0? (a) -5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426988 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2 + c - 1. Let x be j(1). Suppose -5*l - 2*f + 6 = 0, 3*l - f - x = 2*f. Is 2 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58288, 58862, 59820, 61162, 62888?\n\"Answer: 192*v**2 - 2*v + 58098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52577909?\nAnswer: 59, 891151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 24. Let k be (r\/15)\/(8\/20). Let f(p) = p + k - 2*p - 8. What is f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from kgggkmtgmggm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388212?\nAnswer: 2, 3, 11, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 801986.241007.\nAnswer: -801985.741007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 281413831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -14, 9929.\nAnswer: -195, -14, 9929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8336\/(-416) + 20 - 1360\/(-13728)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1. Let r(i) = i + 6. Let p be r(-5). Let t(s) = s**2 + s + 3. Let w be (0 - 2) + (-1 - 2). Determine p*t(q) + w*c(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from bbfbfbfffffb.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-48)*3 + 27\/12. Suppose -5*h + 2323 = 3*j - 2984, -z*h + 3*j + 2106 = 0. What are the prime factors of h?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-4)*8\/24)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -60231\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -312 in -3, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -28, 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 25. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 36*p**2 + 3*p + 41. Suppose -5*i - 76 + 136 = 0. Is u(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/15 - 14722*u**2\/5 + 838468*u\/15 - 264768\/5 = 0. Calculate u.\nAnswer: 1, 18, 22064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 27245801927812.\nAnswer: 27245801927812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12366121*g + 17972589 wrt g?\nAnswer: 12366121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*n + 10*n - 255*n**2 - 106*n - 159*n wrt n?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -564?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoou when four letters picked without replacement from {g: 3, y: 2, o: 1, u: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and 3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1223477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0*a**4 + 1\/21*a**7 + 0*a**6 + 0*a**5 + 4*a + 0*a**2 + 1\/3*a**3 + 0. What is the second derivative of h(q) wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b = 68*b - 196. Let t = b - -138\/5. Sort 0.01, -0.3, t, 0.1 in increasing order.\nAnswer: t, -0.3, 0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8841\/14385 + (3\/10)\/((-6)\/12).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 69 = 3*j + 21, -22*f + 5*j + 144 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 924 divided by -154\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b9b9 - 4?\nAnswer: 5b9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 2. Let o(c) = -c + 1. Let p be 8\/10*(-35)\/14. Let i(n) = n - 5. Let g be i(4). Let b(h) = g*t(h) + p*o(h). Let q(s) = -s**2. Give b(q(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17286 = 1363*o - 3474*o + 16490 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x + 10 = 0. Suppose -2*t = -o - 5*t + 14, -x*o - 2*t + 16 = 0. What is the greatest common divisor of o and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d. Let s(r) = -4236 - 68*r + 4236. What is s(m(b))?\nAnswer: 340*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 0*o**2 - 3*o**2 - 20*o**2 + 232 - 232 + (5*o - 9*o + 5*o + 4*o**2)*(-2 - 4 + 4).\nAnswer: -29*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Suppose -2*s + x = 0, -3*s + 574 - 8 = u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in -3, -4, 0.2, -51?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*x + 14, 89*w - 2 = 4*x + 86*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(51) + (sqrt(51) - sqrt(306)\/sqrt(6))))\/sqrt(3).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -7)*(-1)\/2. Suppose j - 5*t - 6 = 5, 0 = -t - 2. Suppose 2*o - j = 9. Which is the smallest value? (a) 0.1 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -733 + 28583\/39. Let d = 23\/156 - i. Which is the nearest to d? (a) -2 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 1016. Let l be x(20). Let r(w) = 69*w. Let k be r(-6). Let z = l - k. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -147 (b) 114 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 - 178.1. Suppose 2*g - 2 = 2. Suppose 3*x - 16 = -4. Which is the fourth smallest value? (a) 1 (b) r (c) g (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40941.7725 rounded to the nearest 100?\nAnswer: -40900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -898.\nAnswer: 22\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 797*c - 685*c - 224 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21853 divided by -21\nAnswer: 21853\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1352\/19 + 104\/19*y - 2\/19*y**2.\nAnswer: -2*(y - 26)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/144 and -53\/4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -370, -807, -1386, -2095, -2922, -3855?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*5*((sqrt(720) + sqrt(720) + 1)*-2 + -4*((sqrt(720) - sqrt(720)*1) + sqrt(720)))*1*-5)**2.\nAnswer: 6096000*sqrt(5) + 720064516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157534159?\nAnswer: 29, 37, 659, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*t - 7*t + 19*t)*(19 - 6 - 140*t**2 - 13) to the form o + d*t**2 + h*t + s*t**3 and give s.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 34 = -11*k. Determine b so that 6*b**2 + 4*b**4 + 30*b**k - 2*b**2 - 24*b + 5*b**4 + 8*b**2 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135754 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 27 + 83. Suppose 12 = g*y - 19*y. Sort -7, y, 2 in ascending order.\nAnswer: -7, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 16. Let k be y(0). Let f(o) = -o**2 + 18*o - 24. What is f(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4580189975 to the nearest integer?\nAnswer: 67677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 11}. What is prob of sequence ch?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 13 - o - 16 - 8*o. Let u(r) = 11*r + 7. Give 14*i(t) + 6*u(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9966 - -10088. Solve -64*x - 134 = m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19768 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40660 is divided by 271.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23780846065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 3. Let m be x(3). Let r be -1 + (-96)\/(-2) - m. Let b = r + -1147. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/17)\/(12415\/32470).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -11 - (477 + -510)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3695 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, w: 6, u: 1}. Give prob of sequence twtu.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2 - 3. Let x = -4 - -6. Let i(z) = -6*z**3 - 2 + z**x + 0*z**3 + 1. What is i(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + c)*(-3 - 2*c + 3) + (2*c + 0*c - c)*(11*c - 97*c - 10*c).\nAnswer: -92*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 33*v + 102 = 0. Let k(h) be the first derivative of 3\/2*h**2 + v*h + 5. What is the derivative of k(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60541 and -0.2?\nAnswer: 12108.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 5*i + 0*i - 32 - 4*i to n + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 6 + -3 - -14. Let h be 3\/9 - 100\/r. Let n be h\/20 + 4\/10. Solve n = 2*j - 0*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 - 110. Calculate the highest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/5 (c) -236 (d) -3\/11 (e) 2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 13*t + 20 = 14*t + 2, 3*b + 6*t = 111 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6081 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - ((-79 - -174) + -165).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117) + sqrt(117) + (sqrt(117) - sqrt(117)*1 - sqrt(117))*6)**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 7. Let j be l(-21). Let n be j\/(-3)*18\/(-21). Suppose 3*v - 6*v + 24 = 3*b, 5*b - 40 = v. Calculate the greatest common divisor of n and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/12 + (-3760)\/(-96). Suppose -17 = r + p. Let l = r + 104. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - 34\/(-4). Suppose o + 16 = 5*q + 2*o, -2*q - 3*o = -r. Solve 0 = q*x - 6*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = -5*g - 32, 0 = -3*i + 4*g + 20. Solve -5*y + 2*j + 17 = i, -4*y + 7*j = 3*j - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -333, 26, 0.171, 0.3, -2?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*a - 12 = 801*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -12) + -12 - -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1992 >= -2000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 7*f**2 - 9*f. Let t be m(-6). Factor p**4 + 7*p - 16*p**2 + t - 3*p**4 + 0*p + 5*p - 12*p**3.\nAnswer: -2*(p - 1)*(p + 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s*t**4 - 3*s*t**3 + 34925*s + 11*t**2 with respect to t.\nAnswer: -20*s*t**3 - 9*s*t**2 + 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from paippiixva.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5548786 (base 9) to base 10\nAnswer: -2985171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11701*v**3 + 35036*v wrt v?\nAnswer: -70206*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1470)\/(-245))\/(1 - (-190)\/(-192)). Let y = 582 - a. Find p such that -21*p**3 + 21\/2*p**5 + 21\/2*p - 3*p**4 + y*p**2 - 3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312131 (base 6) in base 11?\nAnswer: -49a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10 + y + 10. Let i be f(-6). Let q(j) = -j**3 - 7*j**2 - 5*j + 2. Give q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 25*f + 17. Calculate x(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 197\/4. Which is greater: j or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111694207769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -20323332212020?\nAnswer: -20323332212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 173*g**2 + 89*g**2 + 87*g**2 to the form o + a*g**2 + m*g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 1334046?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314209 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218346*a**3 + 24*a**2 + 49*a - 21.\nAnswer: 1310076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/7 and -27\/541918.\nAnswer: 3793426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h - 1. Let u(t) = t. Let l(o) = n(o) - 5*u(o). Calculate l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150588091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97\/2 + (-15)\/10?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532575 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4698*h**2 - 4763*h**2 - 8*h + 14151*h**2 - 4755*h**2.\nAnswer: -65*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*g**4 - 172*g**4 + 193 + 3*g**2 + 327*g**4 to the form a*g + k*g**2 + u + r*g**4 + f*g**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1108360 and -51\/2662.\nAnswer: 12191960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-11) - 2010\/17864. Let f = -1\/116 - a. What is w in -2\/7*w**2 + 0 - f*w = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 46. Let p = o - -52. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -6154800\nAnswer: 6154800.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -45*k - 70. Let v be d(-6). Suppose 2*w + v = 200. Solve w = -7*t - 4*t + 44 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -824.2 + 824. Which is the third biggest value? (a) q (b) 6 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 + 18*i**2 - 29*i + 19. Let d(c) = -5*c**3 - 9*c**2 + 14*c - 9. Let n(f) = 9*d(f) + 4*t(f). Let a be n(-10). Is a at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p**2 - 28*p + 207. Let j be r(7). Suppose 4*k = z + j, -8*k + 7*k + 4*z + 227 = 0. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 752 + 2*f - 13*f**2 - 22*f**3 + 24*f**3 - 759 - f**4 to j*f**2 + m*f + g*f**3 + v + a*f**4 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.485492 to the nearest integer.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 674*s**3 - 4020*s**2 - 8024*s - 5344.\nAnswer: -(s + 2)**3*(s + 668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 20 + -18 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/34 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*m + 45*f*o + 2*f - 199*m*o - 5*o with respect to m.\nAnswer: f - 199*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and ((-11)\/(385\/(-170)))\/(168528\/84).\nAnswer: 28088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8300 times -4\nAnswer: -33200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125852*k**3 + 228*k - 377521843 with respect to k.\nAnswer: 377556*k**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5009 divided by 6?\nAnswer: 5009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 80.087. Let s = 0.087 + o. What is the closest to -0.1 in -0.3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187064, 374129, 561198, 748271, 935348, 1122429, 1309514?\nAnswer: 1496603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29109*h**2 - 30393*h**2 - 8818*h + 1489*h wrt h?\nAnswer: -2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35062283 is divided by 349.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 5268.\nAnswer: -13\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + 3 + (9 + -4 + -4 - -30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 2*o + 10. Let f(s) = -s**2 + s - 2. Let l = 137 - 135. Let j(c) = l*f(c) + k(c). Suppose -h + 1 = v, 0*h = -2*v - 3*h - 3. Give j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72496090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 85. Let f be q(0). Let p be ((-4)\/185)\/(6\/f). Let d = p + 1\/37. What is the nearest to 1 in 3\/5, d, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920 divided by -240?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4 + 2*q - 3 + 0. Suppose -2*c - 11 = 5*j, 0 = -5*c + 10*c + 4*j + 2. Let y be m(c). Solve 33 = -y*u + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46521 = 8*u + 4*v - 74487, -v - 30260 = -2*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 21, 16, -7, -54, -131?\n\"Answer: -b**3 + 14*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 130. Let l(n) = -2*n**2. What is l(w(t))?\nAnswer: -200*t**2 - 5200*t - 33800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619599426 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6749*j + 7 - 6749*j + 3*j**4)*(1 + 3 - 7 + 4) in the form f*j**4 + q*j**2 + p*j**3 + b + s*j and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from aedqyedt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32036 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = 75. Let y = 14 + -10. Let g be (60\/k)\/(y\/(-30)). What is the highest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*b + 2*q - 28, 5*b - 4*q + 53 = 0. Let n(w) = w**3 + 8*w**2 + 14*w + 11. Let z be n(-6). What is the tens digit of ((-147)\/b)\/(z\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6531 - -6534. Sort x, -4\/21, -2.3, 1, 0 in ascending order.\nAnswer: -2.3, -4\/21, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -103068?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1 + -1)*6. Let r(v) = -v**3 - v**2 - 2*v - 1. Let d be r(-1). Let w(l) = -d - l + 2*l**2 - l + 5*l. Calculate w(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/117 and -45\/17963257?\nAnswer: 161669313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30036842?\nAnswer: 2, 11, 1365311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.156 and -0.2?\nAnswer: 0.4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -3 (c) -4 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 7, 1 in descending order.\nAnswer: 7, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 12*x + (-1 - 1155*x - 6 + 6 + 1)*(3 - 5 + 3).\nAnswer: -1143*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6955340241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 1 + 1)*(-2*q**3 - 3*q**3 + 55*q + 12 - 53*q).\nAnswer: -5*q**4 + 2*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 10. Let a(u) = -f - 4 - u**2 - 4*u - 7*u - u. What is the units digit of a(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k - k - 4*k - 97*k**2 + 3 + 3*k wrt k.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 267\/(-2) - 1\/10*5. Let p = s + 234. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let v = 179\/28 + -50\/7. Which is the nearest to i? (a) v (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gngnggg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-47)*(k**(2\/15)\/k)\/k)\/((k\/(k\/(k\/k**15)))\/k*k*k\/(k\/k**2*k)) assuming k is positive.\nAnswer: k**(-538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 2, h: 1, a: 1, x: 1, t: 1}. What is prob of sequence ahu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6896 = 32*h - 31*h - 2*t, -2*t = -2*h + 13800. List the prime factors of h.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*f**2 - 1250*f**2 + 2503*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 8*f**2 + 10*f - 9. Let p be n(-9). Let t = p + -2. Let u = 20 + t. Let g(x) = -x**3 - x - 4. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -4 - (26 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*t - 4*y, -22 + 4 = -4*t - 2*y. Let z be (-84)\/40*-2 - 4. Is t not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18) + 4\/((-108)\/21))\/((-6295)\/(-396585)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 24.9, -0.4, 2, -12\/11, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34340378 is divided by 1374?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/5))**(-34)\/((u**(2\/13)\/u)\/u*u**18*u))**(1\/2) assuming u is positive.\nAnswer: u**(-2883\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(44)\/sqrt(4) + 5 - sqrt(704)\/sqrt(4))*4)**2.\nAnswer: -51840*sqrt(11) + 214272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*1\/10)\/(8 - 102\/12). Let g be 0\/(-4 + 1) - -4. Factor 2\/5*p**5 + 2\/5*p**g - r*p**2 - 2\/5*p**3 + 0*p + 0.\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 61. What are the prime factors of z?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261273 is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 1841150*v\/7.\nAnswer: 2*v*(v + 920575)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 41a680 (base 13) to base 3\nAnswer: 2220002010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2)\/sqrt(11))\/(2*sqrt(72)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {u: 3, g: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 1, -29 in increasing order.\nAnswer: -29, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135776401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 67*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2750112, 2750107, 2750098, 2750085?\n\"Answer: -2*t**2 + t + 2750113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3 + 7*d**2\/2 + 6*d + 7. What are the prime factors of w(-5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 4. Let v be r(-5). Let n(t) be the third derivative of 11*t**6\/60 - t**5\/60 - t**4\/24 + t**3\/6 + 3*t**2. Does 21 divide n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371066*v**2 + 0*v + 8*v + 9*v - 20*v + 4*v.\nAnswer: -371066*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 23*j - 122. Calculate x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 + 4*x - 4. Let s(v) = 15*v**2 - 5*v + 5. Let u(t) = 5*o(t) + 4*s(t). Let j(d) = -21*d**2. What is u(j(n))?\nAnswer: -2205*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -354468357?\nAnswer: -354468358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*j + 10. Suppose -y + 3*m = 6*m - 2, -j*y - m = -19. Let o = y - 4. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 2606653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/13203 and -67\/507582?\nAnswer: 4568238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:07 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * 7\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132 + 32*a**3 + 228 + 63*a**3 + 0*a**3 wrt a.\nAnswer: 285*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 339, 521, 721, 945, 1199, 1489, 1821?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = t - 26 + 40, 5*v = -5*t - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -945*x + 2. Let v(s) be the second derivative of -5*s**4\/12 - 1748*s. Calculate v(k(p)).\nAnswer: -4465125*p**2 + 18900*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.321034451 rounded to 3 decimal places?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.83 + -1.13. Let m = -14 - -10. Which is the third smallest value? (a) -1 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-20) + 658\/1260. Let m = -50 - -54. Let o = -2.8 - -3. Sort w, m, 5, o.\nAnswer: o, w, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 184307429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 1\/4 (c) 24124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5971796.7 from -1.\nAnswer: -5971797.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16516 and -3.\nAnswer: -49548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 194?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 211.2. Let u = -14.7 + d. Which is smaller: u or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p. Let c = p - -1. Let j be (1 - (c + 1))\/1. Let d(f) = -f**3 + f**2 + f + 1. Determine d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5 = n - 2*v, -4*v + 4 = -4*n. Let b = -8 + n. Suppose 0 = -0*u - 3*u - 6. Put u, 5, b in increasing order.\nAnswer: b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) 0 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33169 divided by -16.\nAnswer: -33169\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 4) to base 11.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l. Let k(c) = -c**3 + 18*c**2 + 4*c - 1. Let u(n) = 4*i(n) - k(n). Let w be u(22). What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 2*l**2 - 5*l**2 + 3*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/96*2\/312*2.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Let r = -61.52 + 61.12. What is the fourth smallest value in q, r, 20, -0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185407\/23 - 8063. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9248*i**3\/3 - 37128*i**2 + 3267*i\/2 - 18 = 0. Calculate i.\nAnswer: 3\/136, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 16 = -3*i. Put i, 9, 1 in descending order.\nAnswer: 9, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a + 117*a = 352. What is the remainder when 221 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n**3 - 168\/5 + 20*n + 80*n**2 + 8\/5*n**4 = 0 for n.\nAnswer: -14, -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2502, 5004, 7504, 10002, 12498, 14992, 17484?\n\"Answer: -y**2 + 2505*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, -135, -193, -251?\n\"Answer: -58*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265 + 315?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 11*w - 5. Let k(v) = v**2 - 9*v - 10. Let z be k(9). Let n be f(z). What is the units digit of 2*(-28)\/(-8)*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, n + 0*u = 5*u - 23. Suppose 4*b - 482 = -n*l, -b + 2*l + 358 = 2*b. Let i = -106 + b. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 - 720 = 143*n - 389 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 705436*g**2*z**3 - 4*g**2*z**2 - 3197*g**2 + 2*g*z + z**2 wrt z.\nAnswer: 4232616*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -136, 133, -94?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*v**2 - 6121*v**2 - 3463*v**2 - 6472*v**2 - 3622*v**2.\nAnswer: -18442*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -9. Let d(r) be the second derivative of r**2 + 0 - 1\/6*r**4 + 0*r**q - r. Differentiate d(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + 3 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*g - 291*g + 4*g**3 - 320*g.\nAnswer: 4*g**3 - 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 5, d: 9, v: 2, t: 1}. What is prob of sequence ytdd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -348 + -2059716.\nAnswer: -2060064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*g - 8899 - 21729 = 0, -2*g = 5*a - 76591. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2*(-3)\/6). Suppose 0 = -l*x + 2*x. Differentiate y**3 - 6 + 2*y**3 + 7*y**3 + x*y**3 with respect to y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/135 and 19896\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13083945*j**4 + 2589476*j**2 + 2*j - 1?\nAnswer: -314014680*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554219 is divided by 1554191.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 6 - 17*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341455 is divided by 341453.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101900 and 4076.\nAnswer: 101900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.33 - 4.33. Let j = -1 + 0.9. Let p = 0 - 0. What is the closest to j in p, x, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/4 + 173*d**3\/4 - 7329*d**2\/4 + 38767*d\/4 - 15805\/2 = 0.\nAnswer: 1, 5, 58, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4487979276?\nAnswer: 2, 3, 11, 809, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8, -5*g + 7*j = 3*j - 408. Suppose 9*o = 25*o - g. Solve 38 - 58 = -o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*i = -14*i. Is i at least as big as 6\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 134 - 4746 = -2*g, 2312 = -2*q - 2*g. Let b = q - -1710. List the prime factors of b.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1 - -1) + (9 - 6). Suppose 6 - 86 = -w*y. Suppose -j + 4 = -f, j = -f - 4*j + y. Solve -8*k + 4*k - 16 = f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g)*(3 + 0 - 1) - 4*g + 2*g + g - 2*g - 3*g + 3*g + 0 + 0 + g + 14 + g + 9 - 12.\nAnswer: 3*g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:56 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/2 + -1*1. Let k(f) be the second derivative of -f**5\/20 - 2*f**4\/3 - f**3 + 6*f**2 - 24*f. Is k(r) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 3. Let b(m) = 4*m - 1. What is -7*b(u) + 2*d(u)?\nAnswer: -6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.92 + -4.6. Let k = h + -0.62. Let q = 3 - 4. Is q less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 7*j + 0*j**4 + 0*j)*(-37*j + 3*j - 38*j + (-5 + 4 - 1)*(2 - 2*j - 2)).\nAnswer: 136*j**5 + 476*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3 + 818244*p**2 - 41832517056*p - 1297594480384 = 0.\nAnswer: -31, 102296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2*16) - (-295810)\/(-16). What is the tens digit of (-4)\/22 - y\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4180553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 3*u - 5. Let d(x) = -21*x**3 - x**2 + 1. Let o be d(1). Let f be 37\/(-7) + (-6)\/o. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -g - k + 50, -108 = -2*g + 2*k. Suppose -4*m + g = -2*m - 2*w, 5*w + 95 = 3*m. What is the lowest common multiple of m + -3 + 0\/3 and 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94473, 189074, 283675, 378276?\n\"Answer: 94601*h - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 73. Suppose 191 = -4*b + 5*l, -326*b + 328*b - 14*l + 130 = 0. Which is smaller: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 22*l**2 - 11*l**2 - 16*l**2 + 35*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -102022101 (base 3) to base 8\nAnswer: -20065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(1422\/(-632))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 254, 2, 7, -0.1.\nAnswer: -0.1, 2, 7, 22, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -4 (b) 2\/23 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101\/808)\/(80\/(-37120))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(594)\/sqrt(11))\/sqrt(3))\/sqrt(9).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 - 71. Let u = p + -278. Calculate the remainder when u is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 15*o + 13. Calculate w(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15*((x\/(x\/(x\/(x**(2\/3)\/x))*x*x*x))\/x)\/x*x)\/((x**2*x*x)\/x)**(1\/4) assuming x is positive.\nAnswer: x**(139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141736171 a multiple of 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*5*5 + sqrt(33))\/((sqrt(165)\/sqrt(5))\/sqrt(3)).\nAnswer: 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*l - 3 = 0, -2*l + 3*l - 9 = -2*x. Suppose 0*s + x*s - 255 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 37 + 85. Let q be i*(-20)\/9*(-48)\/40. Which is smaller: 30 or q?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.479 + 310.479. Let y = 307.77 - n. Round y to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 divided by -11?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**15*u)\/((u*u\/(u*u**(-13\/5)))\/u))\/(u**(2\/81)*u\/u**(-12\/11)))**(-47) assuming u is positive.\nAnswer: u**(-2781554\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (0 - 66\/12). Suppose 243 = 5*k + 5*y + 63, -t*k = -4*y - 153. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h*y**2 + 15*h*y - 4*h - 38*y**2 - 7*y + 2 wrt h?\nAnswer: 5*y**2 + 15*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133, 167, 199, 229, 257, 283, 307?\n\"Answer: -y**2 + 37*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 38. Solve -p - 12 = 2*o, -14 - l = 4*p + 2*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 9) to base 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 320*k**2 - 8104*k + 49280. Let q(z) = -12*z**3 + 963*z**2 - 24321*z + 147841. Let y(v) = -4*q(v) + 11*s(v). Determine t so that y(t) = 0.\nAnswer: 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from yxxaxxylxxlxxlxlxyx?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57298298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/7)\/(g*g**(6\/11)) assuming g is positive.\nAnswer: g**(-174\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 12 + -32 + (0 - 0 - 6) + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -300.1 - -319. Let b = -19 + k. What is the second smallest value in 4, 2\/19, b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223343 (base 10) to base 12\nAnswer: a92bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:57 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 4 - 5*c**2 + 3*c**4 + 9*c**4 - 11*c**4 + 2*c to b*c**4 + a + r*c + n*c**3 + u*c**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/4 - s**3\/3 + s**2 - 4. Let m(l) be the second derivative of x(l). Give m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 54876*s + 132. Let x be a(-7). What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148749, -148675, -148601, -148527?\n\"Answer: 74*k - 148823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.098 and 22\/469 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 27714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 232?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, -2659, -4630, -7389, -10936, -15271, -20394?\nAnswer: -26305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -126122\/3 at least -42041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/24 + 2*m**3\/9 - m**2\/3 + 3. Factor x(h).\nAnswer: -h*(h - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000325921589 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 2, u: 2, e: 1, p: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.302776 millilitres in litres?\nAnswer: 0.000302776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/31 - -280\/93. Suppose 2*j - 5*f - 16 = 0, 0 = 3*j - 5*f + f - 17. What is the smallest value in 1\/2, j, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, -2, -21 in ascending order.\nAnswer: -21, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -14. Let q be j\/(-1) - (-1 - -1). Suppose -r - q*v + 12 = -5*v, 3*v + 14 = r. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011902 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.99999898. What is x rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 37*i - 5*i**2 + 5*i**2.\nAnswer: 3*i**3 - 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q + 4. Let y be o(-3). Let g be (-52)\/78*(-150)\/(-4). Let u be 57 - (-5 - g\/(25\/5)). What is the highest common factor of u and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9950 divided by 39\nAnswer: 9950\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - f3b?\nAnswer: -f4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 44*a**2 - 6*a + 279. Let j be n(44). Solve -2*p - b = -p, 0 = p + 4*b + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17381567?\nAnswer: 7, 233, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*1)\/(sqrt(4) - sqrt(8)\/(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 5*k**2 - 4*k + 1. Suppose -4*g + 2*a + 42 = 0, 2*a - 38 = g - 5*g. Let c = -27 + 14. Let b = c + g. Give s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let y = j - 1. Sort -4\/9, y, 4.\nAnswer: y, -4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -17*g - 3*g. Let q be (-4)\/((-10)\/15*g). Suppose -14\/17*r**q + 4\/17 + 10\/17*r = 0. What is r?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*p + 5*s = -224*p + s + 9, -5*p + 2*s = -13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (65\/(-10))\/(1\/(-2)). Suppose -4*v = -7 - s. Which is the second biggest value? (a) 1 (b) v (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50797, -101573, -152349, -203125, -253901, -304677?\n\"Answer: -50776*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/2 (c) 3 (d) -1\/51 (e) -2 (f) -0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -2*m. Let p = 0.06 - 2.06. Suppose 8*h + 125 = 33*h. Which is the closest to m? (a) 0 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60259.84 litres in millilitres?\nAnswer: 60259840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -18?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 914137439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 1.24. Which is the smallest value? (a) -1 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**3 + 9*i + 9. Let q(f) = -5*f**3 - 4*f - 4. Let a be ((-81)\/2)\/3*8\/(-12). Calculate a*q(h) + 4*b(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159*-199.\nAnswer: -31641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 1\/895, -2430\/37?\nAnswer: -2430\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/520 + (-46)\/(-1904) and -79\/170.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 1100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 75063?\nAnswer: 600504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c + z + 23 = 0, 0 = -4*z - 4. Is (3 + c\/2)*-298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 2) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.07, -1\/2, 8.8, 2\/13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -32*y - 2. Let s(z) = 365942*z**2. Give v(s(f)).\nAnswer: -11710144*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -1\/21*g**7 + 0*g**5 - 1\/12*g**4 + 7*g + 0 + 0*g**2 + 0*g**6 + 0*g**3. What is the third derivative of y(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -711469*d**2 - 101*d + 301483865?\nAnswer: -1422938*d - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 1187214820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(12\/3 + -5). Let r(l) = l**3 - 3*l**2 + 4*l. Let v(b) = -b**3 + b**2 - b. What is m*r(a) - 2*v(a)?\nAnswer: a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 6*i + 11. Let s(j) = 9*j - 82. Let q be (52 - 51)\/(2\/20). Let r be s(q). Give t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 21978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7997 = 10288. Suppose q = 9*n - 2361. Suppose a + a = n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-14))\/(3\/(-1266)). Let w = 219 + g. What is the least common multiple of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1495164, 2990330, 4485496, 5980662, 7475828, 8970994?\nAnswer: 10466160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3\/9 + 116*p**2\/9 - 4*p\/9 - 116\/9 = 0.\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**5*m*m**1)**4*(m\/m**(2\/5)*m\/(m*m*(((m\/(m\/(m*m**(-2)*m)))\/m*m)\/m)\/m*m)*m*m)\/(((m*(m**(-2\/5)*m)\/m*m*m*m)\/m)\/m**(2\/3)) assuming m is positive.\nAnswer: m**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*l + 26, -13*b + 14*b - 3 = -4*l for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8714 (base 9) to base 7.\nAnswer: -24460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 15*d - 14. Let h(w) = 6*w**2 + 2*w. Let x(i) = -29*i**2 - 11*i. Give d*x(u) + 11*h(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 10) in base 12?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44977.\nAnswer: 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 8) to base 9.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1144718.\nAnswer: 1144717.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 96*g + 574.\nAnswer: 2*(g + 7)*(g + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = -5*u + 40, 0 = 5*j + 3*u - 44. Suppose 3*m + 5 = -4. What is the remainder when j is divided by m\/(-12) + 30\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172*c**4 + 2*c**3 + 50.\nAnswer: -688*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -26 + (-3)\/(-1). What is the units digit of l*((-5)\/3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/440 and -3\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, o: 1, p: 8, h: 1, s: 4, c: 4}. What is prob of sequence ssph?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121\/4 or -29?\nAnswer: -121\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 38*m**4 + 2*m**2 - 32*m - 90*m - 24*m**4 - 16*m**4 to the form r*m**3 + l*m**4 + q + s*m + d*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2 and 55\/11586.\nAnswer: 11586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20095?\nAnswer: 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116819433 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 551 + -497. Suppose -9*d = 18*d - j. Solve v - 8 = 2*i + d, 5*v - 5*i = 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623249 is divided by 118?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90157\/2 + 46074. Let y = h + -1033. Let q = 2\/1343 - 4069\/26860. Calculate the common denominator of q and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 66\/(-14). Suppose 4*x + 4*m + 58 = 3*m, -r*x - 85 = -5*m. Let o be (2\/x)\/(4\/(-18)). What is the second biggest value in 0.1, o, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 15*m**2 - 34*m - 6. Let z be n(-14). What is the third derivative of 126*b**3 - z*b**3 + 74*b**3 - 58*b**2 wrt b?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020338 rounded to four dps?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 15 = 5*z. Let o be 0\/(3\/z) + 0. Let d = 128\/3 - 43. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583115 is divided by 583068?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65132, 260497, 586106, 1041959?\nAnswer: 1628056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33909.\nAnswer: 3, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 24*b = -18*b + 2146. Solve -52 = -87*y + b*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12021 + 1014224?\nAnswer: 1002203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228*f**2 - 224*f wrt f.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/((m*m**(1\/3))\/m)*m*m)\/(m\/(m**7*m)))**(-16\/3))**21 assuming m is positive.\nAnswer: m**(-3584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 2*x)*(-2 + 0 + 0 - 2*x).\nAnswer: 4*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450922 minus 233?\nAnswer: -2451155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -56. Let v = q - 56.4. Let s = v + -1.6. Is -2\/5 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1737 and 5211?\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -963 or -941?\nAnswer: -941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*l - 5*o, -84*l - 3*o + 80 = -30*l - 50*l - 0*o for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*i + 5*p, 94*i - 6*p + 27 = 97*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 43*u + 46. Let a be b(-27). Let d = 476 - a. Sort d, 10, -1 in descending order.\nAnswer: 10, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-948)\/(-12166)*(0 - -11))\/((-6)\/(-112)). Determine o, given that -5\/2*o**3 + 16*o - 1\/2*o**4 - i + 3*o**2 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6166650 divided by 246666\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 637553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 9*l + 8. Let w be f(-7). Let a be (2 - -10)\/(1 + -2). Let h = a + w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 193.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*z**2 - 3 - 80*z + 40*z + 2 + 39*z as o + s*z**2 + u*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2366 + 4144. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 25*j - 7*j to c*j + u and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6))\/(y**(2\/11)*y) assuming y is positive.\nAnswer: y**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 0*j**2 + j + 2*j + 2. Is z(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945038 is divided by 315012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 - -1098. Suppose -c = -4*l - 3*l. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13049512.\nAnswer: 2, 7, 31, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7705757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1019 + 1012 + 0 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174\/7*p - 2\/7*p**2 + 1940\/7.\nAnswer: -2*(p - 10)*(p + 97)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 0*b**4 - 2*b**4)*(-3*b + 4*b - 4*b + 0*b - 4*b + 14*b + (-2*b - b + 4*b)*(-1 - 2 + 7) + 2*b - b + 6*b).\nAnswer: -54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 6\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*f - 4, -4*h - 5*f + 3*f = 2. Sort 2, -5, -7, h in decreasing order.\nAnswer: 2, h, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(14)\/sqrt(7)*-5 + -5 + 5*((5*(sqrt(2) + -2) + sqrt(2))*4)**2 + -3.\nAnswer: -9620*sqrt(2) + 13752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (0 + 4\/(-12))*-30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7185*j + 15363*j - 6057*j)*(3*j - 3*j + j**2) to the form i*j**3 + q*j + y*j**2 + n and give i.\nAnswer: 2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c)**12\/(c*(c\/((c*(c*c\/c**(1\/18))\/c*c)\/c)*c)\/c*(c\/(c*c**(1\/3)*c))\/c*c*c) assuming c is positive.\nAnswer: c**(2165\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 128290000 to the nearest 1000000.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k*k*(k\/(k*(k\/(k**(-1\/2)\/k))\/k))\/k*k))**(-27)\/(k\/k**(2\/7))**(4\/9))\/((k**(1\/5)*k*k\/(k\/(k**(-3)\/k)))\/(k**(-2\/11)\/k**6)) assuming k is positive.\nAnswer: k**(255029\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-414)\/14 + (1 - 18\/42). Let p be a - -36 - (1 + 3). Solve -3*r = -p + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -165. Suppose -10*h + x + 63 = 0. What is the first derivative of -3 + 3 - h*k + 2 + 0 wrt k?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose 4*w + u = 3*w. What is the least common multiple of 6 - (-1 - -1) - w and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -19\/6*m**3 + 0*m + 0 - 1\/8*m**4 + 12*m**2. Let f(u) = u - 7 - 7 + 20. Give -7*f(p) - 2*r(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 5*q**4\/12 + 20*q**3 + 675*q**2\/2 - 130*q - 3. Solve r(a) = 0 for a.\nAnswer: -15, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 309700*l**2 - 4844872500*l + 1518809760000.\nAnswer: -5*(l - 30810)**2*(l - 320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (104\/16 - 6)*4. Suppose 3*t + q*t = -5. Is t less than or equal to -4\/177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99)\/45 - (-2)\/10. Let l be -1 - (q - -1 - 3). Suppose -136*w - 125 = -76*w - 85*w. Solve 22 = -w*y - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) + (-1 - 63\/(-15)). Solve -k*p + 9*p = 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 410. Let s(l) = 26*l**2. Determine s(k(p)).\nAnswer: 26*p**2 + 21320*p + 4370600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -21*i - 5. Let g be y(-1). What is the first derivative of -10 - 15 - 5 + g*p**4 wrt p?\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113421113 (base 5) in base 13?\nAnswer: 68c039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70424676 divided by 126.\nAnswer: -558926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*d**2 + 103 + 31*d**2 + 41*d**2 - 117 - d to i*d**2 + p + k*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 35 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*45\/18. Solve -n*j = 5*c + 15, 3*j + 0*c + 3 = 3*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 893\/8 + -111. Let l = 1\/4 - w. Let x = 0.046 + 0.954. Is l at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154385 by 4.\nAnswer: 154385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246686 - 246686 + 2635*u to the form h + a*u and give a.\nAnswer: 2635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:54 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -27*s - 868*s**2 + 0*s**3 + 884*s**2 - s**3 + 3. Suppose 0 = -4*p - 77 + 265. Calculate the remainder when p is divided by a(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127544227*u + 127544381*u = -12474 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.0525l to millilitres.\nAnswer: 135052.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/((g*g\/g**(-35)*g)\/g*g))\/g*g**(-39) assuming g is positive.\nAnswer: g**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -5*v**4\/4 - v**2\/2 - v - 7. Let o be l(-1). Solve -2 = 2*b, -4*r - r - 25 = o*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 9*f - 3*f)*(3 + 2 - 6)*(22*f - 28*f + 6 + 13*f).\nAnswer: 84*f**2 + 72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5413\/435 + -212\/15. Suppose 45*n + 6 = 46*n. What is the common denominator of k and 1\/(n - 764\/124)?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 11092*a - 11091.\nAnswer: -(a + 1)*(a + 11091)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 356\/24 - 1\/(-6). Suppose -2*d + 2*h = d + 5, 0 = 5*d - 2*h + s. Let f(n) = 3*n + 16. Let x be f(d). Is 0 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 136.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 854 = -4*b, 7*b - 3365 = -4*j + 6*b. What are the prime factors of j?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/5 + 39852*o**3\/5 - 23417192*o**2\/5 + 23377344*o\/5 = 0 for o.\nAnswer: 0, 1, 626, 9336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 22. Let j be ((0 - 0) + -1)*-2 + l. List the prime factors of (191 - 0) + 70\/j.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-77))\/(((-69)\/1932)\/((-1)\/(-12))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.7, -930, -0.5?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*j**4 + 989*j**5 - 487*j**5 - 504*j**5 - 866*j**2 wrt j?\nAnswer: -120*j**2 - 2088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-561 - 34*l + 561)*(-2*l - 2*l + 3*l) - l**2 - 1 + 1.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.5, -8, 4, 2\/7 in increasing order.\nAnswer: -8, -0.5, 2\/7, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 29 = -j. Suppose 4 = -i, j = -4*v + 3*i + 249. Suppose -5*b + v - 22 = 5*s, -3*s = -2*b + 32. Solve 3*c + 1 = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/66 + (-1)\/(6\/(-2644)). Let f be (252\/s)\/(((-3)\/14)\/(-3)). Solve 9*q + f = -28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + 0 + (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 507 = 129. Suppose -3*u + 3*a = -153, 6*u - 2*u = -4*a + l. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.2363772 weeks?\nAnswer: 1.6546404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -24. Let p be (32\/(-480))\/(1\/(-3)). What is the closest to 0.1 in -2, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 241*p**2 + 0*p + 0 - 1\/60*p**5 - 1\/2*p**3 - 5\/24*p**4. Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 4. Let r(o) = -3*o**2 + 3. Suppose 4 = 4*x + 24. Let b = x + 8. Suppose -20 = -b*s + 7*s. Give s*g(h) - 7*r(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 56 = 44. Let y(j) = -j**3 + 9*j**2 - 8*j + 5. Let f be y(8). Let m be (-2)\/((f\/(-2))\/5). Calculate the greatest common divisor of m and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 52 - 12 - 4*z + 20.\nAnswer: -4*z - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630 a factor of 13734896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:53 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/72*(64\/(-6))\/(-4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -9 - 2) + (-4 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 456*l + 455*l = 21, 36 = m - 2*l. Let s(z) = 4*z**2 - 3*z + 3. Let n(k) = 0 + k - k**2 - 3 + 2. Determine m*n(g) + 2*s(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12109979729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-95)\/10 + (-2)\/(-4). Let z = p - -10. Find the first derivative of -z + 3*r**4 + 2 - r**4 wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722678 by -1177.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i - 12. Let c be s(8). Let k = -37 + c. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Let p = h + 0. What is the first derivative of 4 - 2*m**4 + p - 3 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -3 (c) 5 (d) -1.6 (e) 25724\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -125, -251, -441, -707, -1061?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6751*z - 46708. Determine k(7).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 - k + 1. Let o = 2 - -30. Let c = o + -30. What is the remainder when m(c) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*t**5 + 2*t**2 - 46*t - 2.\nAnswer: -600*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -4 (c) 59693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433008 by -72168.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 263*v**2 - 17 - 393*v**2.\nAnswer: -130*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263120*o**3 - 2526175*o**3 + 1263122*o**3.\nAnswer: 67*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*u - 90 + 556*u - 247*u + 20 + u**2 = 0. What is u?\nAnswer: -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**5\/5 - 1446*f**4\/5 + 31982*f**3\/5 + 57486*f**2 - 16940*f = 0 for f.\nAnswer: -7, 0, 2\/7, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 3}. Give prob of sequence lle.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117485502 divided by -6.\nAnswer: -19580917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(38)\/((sqrt(32)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 + -355. What is the highest common divisor of a and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 17 = -8*p - 12*n, 18*n - 46 - 28 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1245376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -18*m**2. Let n(l) = 11*l - 15. Give k(n(s)).\nAnswer: -2178*s**2 + 5940*s - 4050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**(-2))*s*s*s)\/s**5)\/(s**0)**17)\/((s*(s\/s**(-2\/5)*s*s)\/s*s)\/(s\/(s\/s**(-2))))**(-23\/4) assuming s is positive.\nAnswer: s**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 145\/92?\nAnswer: 145\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*11226447\nAnswer: -5613223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -4*((2*sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117))) + sqrt(117) + sqrt(117))\/(sqrt(243)\/sqrt(3)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/13, -4, 629 in descending order.\nAnswer: 629, 16\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 6*n = -190. Solve 5*v = -9*c + 13*c - 6, -2*c = -n*v + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 3. Let v(n) = -n**2 + 4*n - 6. Let g(w) = w - 1. Let a(s) = -5*g(s) + v(s). Suppose 4*y = -m - 9, 0*y - 4*y = -2*m + 6. Determine m*a(r) + u(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -691267 * 0.06.\nAnswer: -41476.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2 + 4 + 145*g**3 - 156*g**3 + 6*g**2 - g. What is the hundreds digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:15 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 3) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*u*y**2 - 2*u*y - 2*u + 3*y**2 + 12*y wrt y.\nAnswer: 46*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t + 14*t + 26*t**2)*(-2*t - 2*t + 2*t + t - t - 2*t + (4 - 4 + t)*(1 + 2 - 4) - 4*t + 3*t - t + 4 - 2*t - 4).\nAnswer: -234*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 319, 455?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132299519*a**2*p + 89374864*a**2 wrt p.\nAnswer: -132299519*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29694 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4495 is divided by 4475.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 669 + 29*g - 365 - 388. What is the remainder when 11 is divided by h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6211.111399 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 14*l - 1. Let a(h) = -5*h + 11. Let r be a(3). Let x(s) = -s**3 - 15*s + 1. Give r*x(g) - 3*k(g).\nAnswer: g**3 + 18*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2594)\/(-6))\/((-62)\/(-2046)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -42. What is the remainder when 39 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 92517*k + 832657. Calculate u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 42713.1\nAnswer: 384417.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 + 4*p**3 - 259*p**2 + 4*p**3 + 52*p**2 - 6*p**3 as l + d*p + a*p**2 + z*p**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 42, 60, 78, 96?\n\"Answer: 18*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 less than 562036\/195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/40*4*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.04, -452, 2, 0.2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 8. Let b be -2 - (z + 16)*-2. Let m = -8 + b. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 1964 + 521. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 + 2*b**2 + (2*b - 4*b + 5*b)*(-b + 2*b - 3*b) - 2*b - 7 + 7 + 8*b**2)*(-b + 2*b - 4*b).\nAnswer: -9*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173828 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/264)\/(51\/32). Let v be (-3*16\/(-36))\/((-17)\/(-5)). Let o = v + g. Are 1 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3668, -7317, -10966?\n\"Answer: -3649*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 121330203 (base 4) to base 7\nAnswer: 621561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 439*b - 286665. What is w(653)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94132960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 1611*d**3 - 6455*d**2 - 8073*d - 3230.\nAnswer: (d - 1615)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/24 + 517*m**2. Let a(g) be the second derivative of -1\/12*g**4 + 0*g**3 - g + 0*g**2 + 0. What is a(s(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -8 + 678 + -653\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 67. Let p be k(11). Let t = -5 + 10. Suppose -5*o - 3*d - 5 = 0, t*o + 6*d + 15 = d. Solve y + o = -p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 3\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145656?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65769?\nAnswer: 3, 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.756ug in milligrams?\nAnswer: 0.687756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 3*x**2 - 2*x. Suppose g = 4*u + 140, -20 = -4*g - g. Let m = u + 48. Calculate the remainder when m is divided by c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 1, 12, -7, 17 in increasing order.\nAnswer: -7, -3, 1, 12, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 22*z - 39. Let k be v(23). Let c be -6 - (k\/3 + (-22)\/33). Let y be -3*(0 + -1)\/67. Is y smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 + 29*n + 11. What is the remainder when t(7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 - 10905*g**3 - 342710*g**2 - 331800*g = 0. Calculate g.\nAnswer: -30, -1, 0, 2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*f**2 - 125 + 125)*(2 + 0 - 1)*(-1 - 3 + 2).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 0.07. Do l and 1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -77b50?\nAnswer: 77b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864, -1727, -2590, -3453?\nAnswer: -4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.08 (c) 1\/17 (d) -15 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 40*y + 505. Let o be r(-21). What is the highest common divisor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 + 10*u + 19. Determine x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*p - 2400 = 0, -2*r + 4824 = 2*r + 2*p. List the prime factors of r.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4) + 15\/(-10) + 1. Factor 0*u - 1\/3*u**4 - 1\/3*u**3 + 0*u**s + 0.\nAnswer: -u**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117281 by -6.\nAnswer: -117281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -190 + 3910?\nAnswer: 3770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -17100000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/28)\/(18\/(-7)). Let m(k) be the second derivative of s*k**3 - 2*k - 1\/6*k**4 - 1\/4*k**2 + 0. Suppose m(z) = 0. Calculate z.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 bigger than -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 + 170 - 344 = 79*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3 + 5, 0 = -2*f + 2*c + 10. Let w(n) = -f + 42*n**3 - 2*n + 4 - 41*n**3 + n**2. Calculate w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 8 - 19022*j - 1.\nAnswer: -19022*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9*g)\/(g\/g**(-4))*(g\/g**(-8)*g)\/(g*g**10*g) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(0 + 3 - 7). Suppose -3*a = -z*r + 9 - 21, -r - 3 = 2*a. Suppose -5*m + 15 = -a, -24 = -5*n - 3*m. Solve n*l + 0 - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:13 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19474, -153, -5 in descending order.\nAnswer: -5, -153, -19474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.204 - -0.204. Let u = j - -80.3. What is u rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, a: 3, s: 9}. What is prob of sequence saas?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10341904 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -10 + 1 + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -549*h**2 - 543*h. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*h - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4\/5 + 52*t**3\/5 + 184*t**2\/5 + 192*t\/5 = 0. What is t?\nAnswer: -8, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021*2825.\nAnswer: 59.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2647627 (base 10) to base 3.\nAnswer: -11222111212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r. Let c(u) = 7*u**2 + 5*u - 4. Let i(q) = c(q) - 6*p(q). What is the remainder when 15 is divided by i(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(245) + -1 + sqrt(245))*2*2 + -2)**2.\nAnswer: -672*sqrt(5) + 15711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37301, -149190, -335669, -596738?\nAnswer: -932397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 9:19 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2 + 3*f + f)*(-2*f - 8*f - 24*f) as v + x*f**2 + d*f and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 241*d - 638. Determine x(-81).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**2 - 113*u + 1258. What is w(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 368828*p**2 - 2*p + 3. Let z = 18 + -12. Let k be c(z). Suppose 0 = -8*o - 8642201 - k. Round o to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189309 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*a = -214*a + 135. Let m be a\/(495\/121) + (3 - 0). Determine g so that 20\/3*g**2 - 4\/3*g**3 + 4\/3*g - m = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6099497 is divided by 264.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -2449, -3684, -4935, -6208, -7509, -8844, -10219?\nAnswer: -11640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 780 = 0. Let b = -172 + a. Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1009876 and 14?\nAnswer: 1009876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14299 divided by 20076?\nAnswer: 14299\/20076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421041 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 3, 7, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5664 + -5662. Let l(h) = 85*h**3 + 9*h - 9. Let d(v) = 21*v**3 + 2*v - 2. What is w*l(k) - 9*d(k)?\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - d + 1252489 = 0, 48*d - 313101 = -w + 52*d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*y**3 - 163*a**3*y**2 + 26482*a**3 + 2*a**2*y**3 + 5*a**2*y**2 - 43184*a**2*y + 6*a**2 + 3*y**3 + 3 wrt a.\nAnswer: 12*y**3 - 978*y**2 + 158892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-10))\/(p*p*p**(-5)))**(-19) assuming p is positive.\nAnswer: p**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 1421 = -11*i + 1265 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8)*64\/((-80)\/10). Let f be 10\/15*(-6)\/4. Let j be 1\/((u\/(-44)*f)\/(-1)). What is the highest common factor of 198 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 393182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 25*f**6\/6 + 8*f**5 + 5*f**4\/4 - 10*f**3\/3 + 3. Find b, given that y(b) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 24*g + 360. Let r(u) = -10*u**2 - 352*u + 3890. Let s(b) = -2*b**2 - 88*b + 972. Let i(k) = g*s(k) + 4*r(k). Solve i(l) = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -523\nAnswer: -47.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 - -1178\/5. Factor -8\/5*u - 12\/5*u**2 - 2\/5*u**4 - 2\/5 - d*u**3.\nAnswer: -2*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2 + 8. Suppose x = i*x. Suppose l + x*l = 8. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 20009*z + 419744. Determine o(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1643372212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.191 + -0.409. Let v = -0.2 - -0.3. Let s = 103 + -105. Which is the biggest value? (a) k (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**3 + 126*s**2 + 7*s + 121214.\nAnswer: -3*s**2 + 252*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + u**2 + 2*u**3 + 7*u**3 + 80 - 80.\nAnswer: 5*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 338239 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 5. Let v be r(4). Suppose 2 = -4*o + 14. Suppose -v*h - o = -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: What is the second biggest value in 2, 5, 1\/9, 27, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2013287 - 3?\nAnswer: -2013290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12959, 51508, 115765, 205736, 321427?\nAnswer: 462844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. What is the derivative of 4*d - 3*d - k - 3*d wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 562186425 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936757 take away 99.545?\nAnswer: 3936657.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -0*h + h, 0 = 5*x - 4*h - 39. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 453, 659, 865, 1071, 1277?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwqsqqlwswgwqw. What is prob of sequence qq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Suppose 0 = -r*l + 5*l - 15000. Let y be (l\/3)\/((-2)\/(-252)). Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-7)\/(-2) - 1. Suppose 2*v - z - 62 = 0. What is the remainder when v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13986 divided by 126\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.5, -3.5, 4, -1, -0.5, -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -46*q**2 + 21039*q + 42073. Give r(-2).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293100391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2. Let m be 1\/6 + (-88)\/(-48). Let h(f) = f**2 - 2*f + f**2 - f**2. Let k(t) = 3*t**2 - 5*t. Let n(l) = m*k(l) - 5*h(l). What is n(v(z))?\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/28)\/(-25)*8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 1 (c) -44 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40456 and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2. Let n be g(-6). Suppose -5*i = 4*f + 8 - 33, 5*i = 2*f + 25. Let x = -2108\/9 + 234. Which is the nearest to n? (a) -5\/4 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3\/4, 3, 6.4, 0.06, -0.5 in descending order.\nAnswer: 6.4, 3, 3\/4, 0.06, -0.5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((825\/(-25))\/(-11))\/(((-6)\/(-26))\/1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -28*c**3 - c**2 + 2*c + 1. Let l be q(-1). Let t be (-3 - (-45)\/6)\/((-1)\/6). Let g = t - -92. What is the highest common factor of g and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4122, 32955, 111216, 263619, 514878, 889707, 1412820, 2108931?\n\"Answer: 4119*r**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 550984853*d**2*k**3*m + 106886301*d**2*k**3 - 2*d*k**3 + 2*k**3 wrt m?\nAnswer: 550984853*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*q + 168, -71300039*r - 174 = -71300036*r - 3*q for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105554 (base 6) to base 14.\nAnswer: 343c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose -3*r + 18 = 2*g, b*r - 3*r = 5*g - 26. Solve -d + 1 = g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*u**2 - 14 + 139*u**2 + 14.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = d - 1053, 0 = s - 3*s + d + 417. Calculate the greatest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 42*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (217 - 193) + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 26 = k - 5*k, -5*v - 34 = -2*k. Let m(i) = -i - 1. Let u(s) = 183 + 32*s - 181 - 27*s. Determine v*m(l) - u(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/9 + 8*y**2\/3 + 86*y\/9 + 20\/3 = 0. What is y?\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 64 = -379. Let u(i) = -3*i. Calculate the remainder when h is divided by u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32046 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93 - bd?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 245 = -a + 3*w, -w + 1 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/70642171 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*y**2 + 17*y**2 - 9*y**2.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k**2 + 115*k**2 + 111*k**2 - 325*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 34 = -28*y - 150, -y + 3*n = 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 672078116 to the nearest one hundred thousand.\nAnswer: 672100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3685979, -3685980, -3685981?\n\"Answer: -k - 3685978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 19. Let i = r + -5.1. Which is the closest to i? (a) 0 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 - -139)*((-693)\/(-55) - 14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15624 * 272.62.\nAnswer: 4259414.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 394*u**2\/3 + 29546*u\/9 - 100\/9 = 0?\nAnswer: -25, 2\/591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 19*l**2 + 20*l + 28. What are the prime factors of f(-13)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31957.2 + 31957. Let x = -28 - -40. Which is the nearest to x? (a) -1 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -20, -1, 141, 0, 4, 64 in increasing order.\nAnswer: -20, -1, 0, 4, 5, 64, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 511955 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 + -25.8570119.\nAnswer: -25.7270119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 327649*p**4 + 26838630624*p**3 - 26838302976*p**2.\nAnswer: p**2*(p - 163824)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-4))\/((-52)\/16). Let f = -10432.4 + 10432. What is the second smallest value in f, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 - 753*q + 758*q + 3 - 14)*(-1 - 7*q**3 + 5*q**3 - q**3).\nAnswer: -15*q**4 + 279*q**3 - 5*q + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*d - 56*d - 614. What are the prime factors of d?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.9, 0.4, 6\/11, -0.06, 0.3, -1 in descending order.\nAnswer: 3.9, 6\/11, 0.4, 0.3, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*w*z**2 - 6*m*w*z - 2*m*w + 121*m*z**2 - 9*w*z**2 + w*z - z**2 - 11*z wrt z?\nAnswer: 2*m*w + 242*m - 18*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - o. Suppose -10*m + 483 + 1557 = o. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 - 26133525\nAnswer: -26133526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 14 - 2. Let w be (-4)\/(16\/p)*-1. Let d be (17 - 5) + 0\/w. Calculate the highest common factor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -49, 1183\/15?\nAnswer: 1183\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*n + 215*n + 16473 = -61*n - 138*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 516 - 187 + 884 + 1633*s + 1067*s wrt s.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2304) + (sqrt(2304) - -2*sqrt(2304)))\/(sqrt(128)*-2 - sqrt(128)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/12)\/(6\/108). Suppose x - 4*g = 29, 5*x - 131 = -s*g + 14. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430.6744 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 2*w + 1 = 10*y, 2 = 2*y - 2*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 1 - 6*z**2 + 8*z**2 - 4*z**4 + 7*z**4 to the form r*z + s*z**2 + l*z**4 + o*z**3 + t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-2)*880\/(-198)*(-234)\/130\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.728 + -0.272. What is the second smallest value in v, -9\/2, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14452 and 40.\nAnswer: 144520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156049359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*h**2 - 504*h - 10*h + 48*h**2 - 484*h - 3*h in the form m*h + n + s*h**2 and give m.\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*a - 21, -7*y + 1 = 3*a - 3*y. Suppose 25 - 35*q - 43*q + 14 - a*q**2 + 42 = 0. Calculate q.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r - 7\/5*r**5 + 0*r**4 + 0*r**3 - 4 - 9\/2*r**2. What is the second derivative of a(f) wrt f?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 176 = 5*k + 4*m, 3*k = -2*m + 112. What is the highest common factor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f + 3*o, 4*f = o - 0*o - 13. List the prime factors of f\/(-6) - 1\/((-6)\/1575).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -v - 41, 2*c - 7*c = 0. Let d = 91 + v. Let w = d - 24. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, j: 2, h: 1, s: 1}. What is prob of sequence hjc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1180 = 5*q, -5*q + 4*q = -5*z + 1184. Let k be -2 - (6\/(-33) - (-233)\/11). Let j = z + k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 103*t**3 - 10*t**2 + 11*t - 4. Let c(l) = l**3 - 8*l**2 + 9*l - 3. Let z be c(7). Let s be d(z). What is s rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9713*b + 7 - 5 - 5.\nAnswer: -9713*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 50*f**4 - 750*f**3 + 5000*f**2 - 15625*f + 18750.\nAnswer: -(f - 30)*(f - 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -140*u**3 + 2*u**2 + 3*u + 1. Suppose 101 + 15 = 4*s. Suppose -s = -r - 30. List the prime factors of i(r).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - -18*20\/8. Solve -30*s = -18*s + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3356 - -2?\nAnswer: -3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-40)\/5*-19. Suppose 3*b + b = t. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112184016.\nAnswer: 2, 3, 7, 59, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-15)*(0 - 54\/(-12)). What is the fourth smallest value in 104, -3, 0.3, h?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(2730\/(-104)))\/((-12)\/(-35))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101100 - -111010101110011100?\nAnswer: 111011000001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - g**4 + 3*g**4)*(10 + 4*g - 10).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11411850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = -u, u - 3*u - s = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 2. Let f be a(7). Let m(r) = -3*r + 7*r + f*r. Let x(y) = -2*y. Give x(m(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (-12 + 75)) + 22 + -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65009723 to the nearest integer?\nAnswer: 8063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26980\/3 + 8993. What is the nearest to 1837 in -1\/2, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 - 86*c\/9 + 80\/3 = 0. Calculate c.\nAnswer: 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:24 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 37*w = -1122, -5850*v - 5*w = -5848*v - 144 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1267300 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243 - 277) + (-15 - -32).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*109\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/2 + 4*q**3\/3 + 18*q**2 + 26. Let a(o) be the second derivative of t(o). What is the first derivative of a(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.87 - 89.3397. Round a to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-23*g - 13*g + 23*g).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-210)*462\/11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*6\/(-3)*(-510)\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**5\/120 - 9*z**4\/8 - 3*z**3 - z. Let x(g) be the second derivative of h(g). What is the tens digit of x(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 8. Let k be l(-8). Suppose -2*q - 25 + 1 = k. Let f = 7.9 - 8. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 179 and -70.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 100317 and -0.2.\nAnswer: -20063.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 82, 0, 5.\nAnswer: 0, 5, 10, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/24581 and -58\/98847?\nAnswer: 4645809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 3*h = 17*m + 10, 6 = -4*m - 5*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*r + 4*i - i, 0 = 3*r + i - 27. Calculate the least common multiple of r and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -48. What is the units digit of o*(-1)\/(28\/312)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 2, x: 5, b: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and -33.4?\nAnswer: -96.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-12) + -4)\/((-4)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 2*q + 1. Let y be h(1). Suppose 0 = 4*z + 5*m - y, 4*z + 3*m + 5 = 10. Factor 2\/7*x**z + 0 - 2\/7*x.\nAnswer: 2*x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 81*w + 495 + 81*w - 495.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 31, 49, 89, 157, 259?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 149590?\nAnswer: -149569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b. Let y(u) be the first derivative of u**2 + 39. Calculate a(y(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*a + a + 10, 4 = -3*a + 4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 50, -40 in increasing order.\nAnswer: -40, -8, -4, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 50 = 3*v, 3*d - 11 = 2*v - 42. Let o = -6 + v. Suppose 3*a + 5*n = 38, n + 47 = 4*a + 4*n. Calculate the greatest common divisor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v - 3. Let j be y(-2). Let w = j - 11. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 7. Let y(a) = 2*a + 8. Let k(c) = -4*j(c) - 3*y(c). List the prime factors of k(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*i - i - 17, -5*i = -3*z - 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -127*h - 882. Calculate the lowest common multiple of i(-8) and 1.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 16*c - 60 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54147\/25 + -10829\/5. Factor 14\/25 - 16\/25*w + t*w**2.\nAnswer: 2*(w - 7)*(w - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -65014596015 + 65014595702.687920136. Let v = f + 312.18208. Let a = v - -0.13. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 123 = -5*f, 4*h - 1 = 3. Suppose -24*p + 865 = 289. Calculate the lowest common multiple of p and 0 + f - (3 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 52 + 14*f)*(7 - 7 - 8)*(-1 - 9 - 1) in the form k + q*f and give q.\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1056140 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**7\/840 + z**6\/90 - z**5\/40 - z**4\/8 - z**3 - z. Let r(v) be the second derivative of u(v). Calculate r(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288 + 639 + 449 - 662*x - 3 + 469 wrt x?\nAnswer: -662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -112, -284, -534, -862?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n**3 + 13*n**2 - 42*n + 28. Let g(t) = 7*t**3 + 7*t**2 - 21*t + 14. Let i(u) = -13*g(u) + 6*m(u). Does 26 divide i(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-3)\/(-45)). Suppose -y*j + 5 = -5. Suppose -l - 2 = -4. Solve -j*b - 4*s = 22, 6*b - 2*b - l*s + 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (8722\/1470 - 1\/3). Let m = 8 - 7.9. What is the nearest to n in -0.26, m, 5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628581*y - 628614*y - 1518 = 0 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 12 + 2. Suppose o*c = -5*l + 3*l + 6, 2*c + 4*l = 6. Solve -2*h + k = c*h + 22, 2*k + 11 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227140278.\nAnswer: 2, 3, 37856713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117) + 4*sqrt(52)\/sqrt(4))*6*-4.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y. Let n(v) = -v + 0*v - 2*v + 15*v + 7*v. Determine n(f(o)).\nAnswer: -133*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x + 6*x - t, 4*t + 4 = -5*x. Which is the nearest to 1? (a) -0.1 (b) x (c) -0.135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34340103 (base 5) to base 2.\nAnswer: 1001011011000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/sqrt(396)*4)\/(sqrt(8)*-1 + sqrt(4)\/(sqrt(2) - sqrt(8))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u\/(u**(5\/3)\/u))\/u)\/u))**(-1\/40)\/(u**(-14\/9))**(1\/73) assuming u is positive.\nAnswer: u**(-149\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 591461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23557000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629422219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-3)\/(-2))*-8. Let l(b) = b**3 - 12*b**2 - 1. Let j be l(a). What is the units digit of j\/4 + (-20)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5606369 decades in centuries?\nAnswer: 0.05606369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 3.1245?\nAnswer: 2.8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.246 + -2.754. Let h = 4.9 - -0.1. Sort 4, h, d, -1 in descending order.\nAnswer: h, 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = 8. Suppose 2*d = -g*d - h + 28, d = -h + 10. Calculate the remainder when 17 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))\/o**(-1\/7))\/(o*o*(o*o\/(o\/(o\/(o**(-2\/7)\/o))))\/o*o)**(6\/13) assuming o is positive.\nAnswer: o**(-391\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 27 + 32 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 73*o + 30 = 70*o, 0 = 5*h - 5*o - 40 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 28*j**2 + 2*j + 62. Let p be c(-28). Suppose -4*w - 2 - p = 0, -4*a = -4*w - 17772. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/3, -1\/3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3134 - 740 = 19*b. What is the greatest common divisor of 266 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 - -4162?\nAnswer: 5018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 - -309. What is b rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 - 2*s + 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546184 and 45606364.\nAnswer: 91212728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325299 at least as big as 325244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3543\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004132 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 7) in base 11?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3427 take away -0.1?\nAnswer: 0.4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -1855*w + 1834*w - 103. What is the nearest to -2 in -2, 180, w, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 16*a + 3. Let i(x) be the third derivative of 0*x + 9*x**2 + 0 + 1\/3*x**3 - 1\/8*x**4. Give i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 17. Let r = -1 + c. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -68*h**2 - 4*h - 6. Let k be u(-6). Let i = -3169 + k. Let z = 4301 - i. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31972611?\nAnswer: 3, 11, 19, 50993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*o - 30*o + 57*o + 107*o + 8*o + 14*o - 15*o + 0*o - 3*o + o + (0*o + 5*o - 3*o)*(-4 - 1 + 4).\nAnswer: 238*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 36*z - 3147. Give i(87).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.8 + -240. Let j = -7 - -4.98. Let h = -0.02 - j. Which is the nearest to h? (a) -4 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 461*w**2 - 2082*w + 115584. What is d(-466)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/19 (b) 37285 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(6))\/sqrt(10) + (sqrt(48)\/sqrt(8))\/sqrt(2))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 131391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - -2. What is the common denominator of v and 3\/(-123)*18*9*13\/234?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -26.5. Suppose 0 = -x + 1, i + 4*x = 2*i + 2. Put 0.5, i, f in descending order.\nAnswer: i, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6)\/9*15\/(-10)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + a - 202 = 0, 2*g - 286 + 94 = 4*a. Suppose -3*s + 88 + 8 = -3*f, 3*f - g = -4*s. Calculate the highest common factor of 70 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 0*w**3 - 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -4*y + 2*l, 42*y - 27 = 38*y + 5*l for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 44 = 10*g + 3*w, 0 = 4*g - w - 44. Solve 3*m - z - 3*z = 25, 5*z + g = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -280, -562, -854, -1162, -1492, -1850?\n\"Answer: -n**3 + n**2 - 278*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-2\/5))\/a)\/(a\/(a*a**(-4))*a)*a\/(a**(-6)\/a)*a*a\/(a**5*a)*((a\/(a*a**(3\/5)))\/((a*a**1\/a)\/a))**(-19) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(-18) - 2\/(-12). Suppose -i + 116 = -0*i + 2*d, -x*d = 5*i - 556. Suppose 2*a - 3*f = i, f = -a - 4*f + 28. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**7\/21 + f**6\/15 - 4*f**5\/5 - 4*f**4\/3 + 16*f**3\/3 + 16*f**2 + 6*f. Determine h so that i(h) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17026 or -5014?\nAnswer: 17026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 121 = 4*n. Let k = n + 179. Suppose 2*f + k = 4*j, -j + 2*f - 77 = -6*j. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = 0, -3*c + 8016 = 3*r - 2*c. Suppose -r = 5*j - 386. Let b = -220 - j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-3))\/((-3)\/18 - 13\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = -13*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a - 23*a - 101*a + 143*a + 48637*a**2)*(4*a**2 - a**2 - 4*a**2).\nAnswer: -48637*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 2*q**2 + 2*q**2)*(-6*q - 6*q + 0*q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 92*f**2 - 3*f - 1. Let n(x) = -x**2. Let l(w) = g(w) - 3*n(w). Let u be (2 + 2)*36\/(-144). Is l(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h**2)*(2 - h - 2) - 6518*h**3 + 3179*h**3 + 3257*h**3.\nAnswer: -84*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 18 = 2*l. Solve -l*n + 2*n = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2261 - 607 - 6*z**3 + z**3.\nAnswer: -5*z**3 - 2868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134 or -146?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u - 1\/60*u**5 + 0 + 1\/24*u**4 + 1\/2*u**3 + 21*u**2. Suppose 0 = -2*z - 2 - 6. Give t(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78\/91 + (-257640)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.8029 rounded to 0 decimal places?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001111111111000 + 0?\nAnswer: -100001111111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 345 - 12?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 - 4*w - w + 2 - 2 + (3*w - 4*w - w)*(5 - 3 - 1) - 1 + 2*w + 1 + 890 - 890 - 3*w)*(1 - 1 + 2)*(3*w**3 + 0*w**3 - 4*w**3).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.5 + 29. Which is the fourth biggest value? (a) -2 (b) r (c) -1\/4 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1614, 6519, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 0.0559, -131.\nAnswer: -146, -131, 0.0559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103394.9165 + 0.1.\nAnswer: 103395.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -956 - -960. Solve 5 = -3*q + 4*t, 9*q - s*t = 7*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663307247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 - -302. Let r(t) = -4*t**3 - 57*t**2 - 13*t + 14. Let k be r(h). Solve 2*b = -k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130581?\nAnswer: 2130581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/20)\/(2\/6). Let s = -0.1 + 0.6. What is the closest to 2\/5 in n, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 62*a - 114. Let b be c(2). Let o(i) = i + 3. Let p(x) = -x - 7. Let f = -44 + 30. What is b*p(k) + f*o(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*3)\/sqrt(6) - sqrt(24))\/(sqrt(88)\/sqrt(44)))**2 - ((sqrt(3888) + 1)*-3 + -5)**2.\nAnswer: -35008 - 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:16 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + o**2 + 1)*(-1283*o - 2567*o + 1304*o)*(-4 - 2*o + 4)*(4 - 4 + 3) to v + s*o**4 + t*o + g*o**2 + h*o**3 and give s.\nAnswer: 15276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:55 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 87730 + -1855\nAnswer: 85875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109930 by 5.\nAnswer: -21986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 35 - 28*m - m - 10*m + 0*m + (m + 3 - 3)*(-2 + 0 + 0).\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102125 + -2?\nAnswer: 102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 6:05 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*n - 3*n - 5, -2*w + 2 = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325969*3.\nAnswer: 977907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 323507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5766 = -34*p. Calculate the greatest common factor of 3627 and p.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1, -82, 33.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 614262*u + 12286440 = 0. Calculate u.\nAnswer: -204774, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.005.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15768)\/17374 + 6*(-22)\/561\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/(-3240))\/(22\/18)*(-18 + 28).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 222*v**2 + 669*v + 2631. Give j(-219).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -28*n - 76. Let i(l) = 62*l + 167. Let a(g) = -10*i(g) - 22*k(g). Suppose -2*c = -0 - 4. Suppose -6 = -0*x - c*x. Calculate a(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(60)*-1)\/sqrt(12))**2 + sqrt(50)\/(sqrt(20)\/sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 486540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1054269 by 4.\nAnswer: 1054269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165*(-27)\/18*47\/141*(-6)\/5.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1100) - 4*sqrt(1100)) + 1)**2 + -1 + sqrt(704) + -2 + (((sqrt(132) - (-4*sqrt(132) - sqrt(132))) + sqrt(132))\/sqrt(12))**2 + sqrt(11).\nAnswer: -51*sqrt(11) + 10438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 11264, 4, -3, -4 in increasing order.\nAnswer: -159, -4, -3, 4, 11264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 - 5*y**3\/3 + y**2 + 2*y + 5. Let k be v(4). Let m(s) be the first derivative of -s**2 - 9*s + 45. What is m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6034 = -3*z, 4392 = 5*j - 5*z - 1638. What is the least common multiple of j and 2?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 53*o - 53*o. Let m(q) = -4*q**2 + 12*q - 4*q - 22*q. Calculate j(m(t)).\nAnswer: 32*t**4 + 224*t**3 + 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -337 - -381. What is the remainder when 263 is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0 - a**2 + 1\/3*a**3 - 1\/30*a**5 + 0*a**4 + 0*a. Determine u, given that n(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -1.5 (d) 0 (e) 1\/2 (f) 6296 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274920 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -9*t**2 + 17*t**3 - 4*t**4 - 3*t**4 + 0*t**4 - 561*t + 561*t - t**5 = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3*(-3150)\/33075?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.39 in -2, -1\/5, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9724988 times -5\nAnswer: 48624940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 39*a - 8. What is the remainder when (18 - 1) + (1 - (-4 + 6)) is divided by z(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30039658 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3308 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.7 + -14. What is the closest to 0.2 in -5, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30048891, -30048882, -30048873, -30048864, -30048855, -30048846?\n\"Answer: 9*j - 30048900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(15\/(-2)) - (33\/(-15) + 4). Which is the second biggest value? (a) j (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82901 and 80808.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 13. Let j be g(-6). Suppose -3*f = -j*z - 17 + 11, 3*z + f - 2 = 0. Factor 0*s**4 + 2\/7*s**5 - 4\/7*s**3 + 0*s**2 + z + 2\/7*s.\nAnswer: 2*s*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(j + 4 - 4) + 4*j - 3*j + 11*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/210 - w**6\/90 + 29*w**3\/6 + 103*w**2. Let x(f) be the first derivative of y(f). Determine s, given that x(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -4 (c) -0.05 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 + u**2 - 3 - u**2 - 15*u**2 with respect to u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*t - 1638 = 169*t + 152*t. What is the greatest common factor of 7371 and t?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2381, 2, -4, 0.4, 4, 14 in ascending order.\nAnswer: -4, 2\/2381, 0.4, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7007, -7557, -8107, -8657, -9207?\nAnswer: -9757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-12)*b)\/b)\/b)\/((b*b*b\/b**(1\/31))\/b*b))**(4\/7) assuming b is positive.\nAnswer: b**(-1980\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 7*b + 20, -4*b = -3*u - 692. Let c = -194 - u. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((15\/(-6))\/(-5)). Suppose -5*g = -4*x + 3, 5*g - 13 = -x - 3*x. Let j = w - x. Solve 4*y = 5*i + 31, -4*i - 6 = y + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 11*k - 2*t + 2, 3*t = 2*k - 13. What is the hundreds digit of ((-8)\/16)\/(k\/(-4)) + 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4895 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:38 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 694739 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 16) to base 14\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**3 - 3\/5*j**5 - 1\/14*j**7 + 0*j**4 + 0*j**2 + 0 - 2\/5*j**6 + 3*j. What is d in i(d) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = -2*m - 237. Let g be m\/25 + 2\/5*1. Let n = 27 - g. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/2)\/(66 + -67). Is -62\/57 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 1?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553433570?\nAnswer: 2, 3, 5, 7, 21683017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/12 + 7*c**3\/6 - 3*c**2 - 12*c + 2. Let f be h(1). Solve 0 = d - f*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, 1749, 0 in descending order.\nAnswer: 1749, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20297 by 1.\nAnswer: 20297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i + 4. Let a be q(-6). Suppose -3*x + 6 = 0, 0 = 2*b + 3*b - 3*x + 6. Suppose 8*k - 8 - 8 = b. Solve l - c - a = k*c, -c + 1 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134966632?\nAnswer: 2, 83, 181, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1725917, -1725860, -1725773, -1725662, -1725533, -1725392, -1725245, -1725098?\n\"Answer: -m**3 + 21*m**2 + m - 1725938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21 - -1)*7\/(-4). Let x = 34 + k. Calculate the common denominator of x and -75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.41337, 0.5, 1\/3, -3, -2?\nAnswer: -0.41337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 4. Suppose r + 9 = 3*b - b, -r = y. Calculate the remainder when 3 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 * 0.3\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 8:56 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 380168, 760334, 1140500, 1520666, 1900832, 2280998?\n\"Answer: 380166*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b1 (base 16) to base 9.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448225217?\nAnswer: 11, 40747747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3 + 181*j**2 - 564*j + 380 = 0.\nAnswer: -190\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-24)\/(-36))\/(0 - 4\/(-366)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 0*o**2 - 2*o**2 + 6*o**2 + o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 1634114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.45 and -0.356?\nAnswer: -10.1282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/50 and 41\/156478325.\nAnswer: 312956650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211020 (base 3) in base 6?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2524*k**5\/5 - 5279*k - 5134. Differentiate x(r) wrt r.\nAnswer: -10096*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 76 = -2*d, -350*q + 4*d - 84 = -348*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 + 10 = 0, 2*c = 2*p + 84. Let h = c + -36. Factor -1\/4*r**h - r + r**2 + 0.\nAnswer: -r*(r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmgegn. What is prob of picking 1 e and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21899.0000457 - -21899. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -81?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x - 18. Let h be m(2). Let u be (-3)\/(2 - h\/(-2)). Which is the closest to -5? (a) -1\/3 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 40 = -15 + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 243, 955, 2141, 3801, 5935, 8543, 11625?\n\"Answer: 237*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + 100. Let c = -233 + d. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 4*a - 21*a to d*a + l and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -85. Let s be (j - -1)\/(102\/(-153)). Let m(i) = i**2 + 19*i + 26. Calculate m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 41 = o, 4*o - 20 = 3*i - 54. Let a(z) = z - 1. Let y(j) be the first derivative of -j**2 + 2*j + 6. Determine i*a(u) + 4*y(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4045, -8087, -12129?\n\"Answer: -4042*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 3:02 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c63eb5 - 5?\nAnswer: -c63eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let v be (-2)\/(-3)*3\/2. Let b = 0 + v. Solve 5 = o*z + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*n = -809*n - 1166 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 13*l. Let b be d(12). Let a(w) = w**2 + 9*w + 17. List the prime factors of a(b).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**3\/6 + 3*o**2 - 2*o. Let a(u) = -199*u**3 - u**2 + 3 + 19*u**2 + 200*u**3 + 17*u. Let h be a(-17). What is q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f**2)*(9860*f**2 - 972*f**2 + 7567*f**2).\nAnswer: 32910*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(35\/(-15)) - 2)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*((-11 + 47 + 8)*(17*i + 0*i + 10*i) - i - 5*i + 3*i).\nAnswer: -1185*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147226 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 51 + 79 = 0, 7*o + 5*v - 146 = -174 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6913733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 7*y + 3, -5*t - 3*y = 137. Let a be (-10)\/(-35)*t\/(-1). Solve -1 = -h, -5*h + a = -i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549674 is divided by 1093.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, d: 1, u: 1, p: 1}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13952 is divided by 388?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 2. Let c(y) = -1 + 0*y - 6*y + 5 - y**z. Let u be (-45)\/8 - ((-9)\/(-24))\/1. What is c(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*f - 27, 5*f = 2*v - 3*v + 17. Suppose 4*n + 0*n - 8 = 0. Let l = 5 - n. Solve 2 = -l*a - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4538 + -3328. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 18*x - x - 10*x to t*x + f and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 5, q: 1, o: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1258529 and 21\/362627?\nAnswer: 21394993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 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: Calculate -124311216 divided by -15538902.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(266\/12))\/(738\/1722).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2380700 to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1545 (base 6) to base 14.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.7, -0.11, -142, 0.1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4942 and 20?\nAnswer: 49420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/26628 and -85\/1512.\nAnswer: 479304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6214.09 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 327655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**5\/20 + r**4\/3 - 2*r**3\/3 + 2*r + 3. Let b(t) be the first derivative of a(t). Factor b(l).\nAnswer: -l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 5:45 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 8\/3 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let u(g) = 13*g - 13. Suppose a - 2*j - 19 = 0, -2*a + j + 29 = -0*j. Let w(x) = 1. Let b(r) = a*w(r) + u(r). Determine b(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c + 3. Let q be p(-3). Suppose 252*a + 2496 - 13632 = -212*a. Calculate the greatest common factor of q and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434, 328, 60, -454, -1298, -2556, -4312, -6650?\n\"Answer: -14*z**3 + 3*z**2 - 17*z + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.082 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -339*k**2 + 8*k - 6. Let q be i(1). Let f = 1706 + q. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) 0.08 (c) 4 (d) -0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 6.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 607173, 607174, 607175, 607176?\n\"Answer: k + 607172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 22*f - 6 = -9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -84. Which is greater: g or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 1, w: 3}. Give prob of sequence wmw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 193 - 7409*d + 100.\nAnswer: -7409*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1539 by 27.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from btbutlbububbltuttub.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 63*w + 691. Let z be n(-12). Is -82 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = 16. Suppose q = -3*z + 7*z. Let z - 1\/2*o**2 - 1\/2*o = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:43 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + h - 2*h**4 + 39 + 8*h**2 - 39 in the form j*h**2 + a*h + p*h**4 + n + i*h**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + o + 2*o - 18, 4*o = 12. Let z(a) = -13*a**3 - 5*a**2 - 5*a - 3. Let u be z(q). Suppose 5*s - 1599 = -3*x - x, -s + u = -x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a + 9. Let l be g(5). Let y = -38 + 94. What is the greatest common divisor of l and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -6. Solve -5*x + 5 = n - 2, -b = -3*x + 3*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(7))*5 + sqrt(77)\/(4*sqrt(11)))*-3)**2.\nAnswer: 1890*sqrt(7) + 85383\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -12*y + 27. Calculate the least common multiple of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531682*s = -531638*s - 1188 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171335582?\nAnswer: 2, 11, 7787981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 208*t**2 + 48*t + 191. What is the units digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7*h - 1976 = -6*h, -m + 322 = -2*h. Solve 14*i - m = -288 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -157 in increasing order.\nAnswer: -157, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618380 by -107.\nAnswer: 618380\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 18*j - 38. Suppose w - 15 + 4 = 0. What is the tens digit of g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -325, -484, -643, -796?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6727624 divided by -34\nAnswer: 3363812\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24463519 + -2177320918\/89. Let c = 761 + v. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**7\/11340 - r**6\/810 - r**5\/180 + 7*r**4\/24 + 5*r**2. Let x(n) be the second derivative of v(n). Factor x(y).\nAnswer: -2*(y + 1)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 28.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*b - 28 = 74 - 438 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13640 by -5.\nAnswer: -2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1662579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 3. Let r(w) = 3*w**3 + 3. Give 3*r(l) + 2*s(l).\nAnswer: 5*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*4)\/(sqrt(605)*4 - sqrt(605)).\nAnswer: 28*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1) + (-45)\/10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 13. Let z = -2208 - -2204. Let x(o) = o**3. Let g be x(-1). Which is the fourth biggest value? (a) g (b) 1\/6 (c) n (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:25 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*g = -201*g + 3237. Calculate the remainder when g is divided by 71.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 45*d**3 + 791940*d**2 - 2640175*d + 2200250 = 0.\nAnswer: -17602, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoahhhlhohlhha. Give prob of picking 2 a and 1 o.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*((sqrt(162) - (sqrt(162) - (-3 + (sqrt(162) - (-4 + sqrt(162)))))) + 3 + sqrt(162)*2)*-1)**2.\nAnswer: -1328 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*t - 32 = 0, -4*c - 4*t = -4 - 4. Suppose 3*g - 2*g = 5*p + 29, 3*p = c*g - 35. Put g, 0, 1 in descending order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.05, 2.3, -3\/112?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -6.\nAnswer: -6, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 3:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -117*y + 114. Let v be b(1). Let j be -4*1*7\/4. Let o = j + 3. Put v, o, 5 in increasing order.\nAnswer: o, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61482*a + 49182*a - 70542*a.\nAnswer: -82842*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-12 + (1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 162379*n**3 - 3*n**2 - 3*n + 1. Let m be g(2). Suppose 0 = -0*w + 4*w + 2556060. Let u = m + w. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3355730870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*w + 36 - 21 - 17)*(0 + w + 0).\nAnswer: -29*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = o - 27, -5 = 5*x + o - 50. Let z(s) = 2*s + 9. Is 9 a factor of z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:28 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 130625*k - 5233000.\nAnswer: 5*(k - 26165)*(k + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -680917*g**4 - g**2 - 149915*g?\nAnswer: -16342008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let d = -13 - -25. Let m be 10\/(-4)*d\/(-15). Let j(o) = -2*o**2 + 4*o**m - o**2. Determine c(j(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = -3*f, 3*p + 0*f - 2*f = 14. Let h(i) = i**3 - 8*i**2 + 13*i - 3. Let b be h(6). Solve 0 = -p*l + b*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*k - 10*k - 7*k + 7 - 10*k to the form c*k + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281320 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 3*h. Suppose 5*a - 13 = h. Suppose -a*y + 7 = 1. Solve 2 = -y*w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/55220 and 52\/165.\nAnswer: 165660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 21. Let b(q) = -6 - 2*q**2 - 14*q**y + 8*q**2 + q + 15*q**3. Determine b(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206546 divided by -10?\nAnswer: -103273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfllflffffffllf. Give prob of picking 3 l and 1 f.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*t**3 - 153\/4*t + 225\/4 - 73\/4*t**2.\nAnswer: (t - 75)*(t - 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - 12*q - 20. Calculate the remainder when o(-8) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f - 20*f + 47*f - 14*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 31 + 4)*(-3*m**5 + 6*m**5 - m**2 + 0*m**5).\nAnswer: 105*m**5 - 35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (47\/2 + 0)*(-8)\/12 and -38\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/162 and 101\/4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281*n - 19926 = 10636 + 78926 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -53. Suppose -5*i - 465 = -5*c, -h*i + 265 = 3*c - 2. Suppose -2*p - x + 291 = 0, p + 2*x = c + 62. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/16 + -2 - 9\/(-72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i - i)*(i - 2*i - 4*i + (4*i - 3*i + i)*(-4 + 3 + 4)) + 3*i**2 + 0*i**2 + 0*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1543307\/5 + -299682. Which is greater: 8980 or i?\nAnswer: 8980","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 10*x**2 + 11*x + 10. Let d be y(-8). Let z = d - 28. Calculate the remainder when 43 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8656\/70330)\/((-2)\/45).\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w + 0*w)*(0*w - 3*w - 2*w**2 + 4*w).\nAnswer: -6*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 26. Let p(n) = -n**3 + 3*n**2 + 4*n + 2. Let c be p(4). Calculate the common denominator of ((-86)\/(-22) - c) + 0 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/16)\/((-3)\/(-8)). Let l = -4.1 + 3.6. Which is the closest to l? (a) 0 (b) s (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4114 a factor of 413241349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*h - 16*h + 110 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*z**5 - 6*z**4 + 1112*z**2?\nAnswer: 1260*z**2 - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + 70\/15. Suppose -l + x*b + 296 = 3*l, 3*b = 4*l - 304. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2391 + 2390.6. What is the third biggest value in -4, w, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-30) + (-2)\/10. Let a be ((-20)\/(-15))\/(j\/3). Solve 5*m = -3*i - 7, -m - 3*m - 6 = a*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g = -60 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3159))\/((sqrt(3) + sqrt(27))*4).\nAnswer: 9*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:03 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10656 and 56.\nAnswer: 74592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.97 or 0.1?\nAnswer: 4.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - r - 2 - 54*r**3 - 3*r**4 + 0*r**4 - 14*r + 53*r**3 as t*r**3 + u*r + k*r**2 + j + o*r**4 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 770 - 770. Suppose 4*k + 5*o - 2114 = 0, k - 2*o - 19 - 516 = q. Calculate the greatest common factor of k and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**2\/2 + 7*o - 8. Let b = -18 + 13. Give r(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 69 in descending order.\nAnswer: 69, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1968 - 1215. Let d = b + -698.76. Round d to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/12 - 5*f**3\/3 - 3*f**2 - 3*f. Calculate the remainder when 74 is divided by b(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from kkrcrcrrrkrr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 + 18045*r + 54162 = 0.\nAnswer: -3, 6018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 8) to base 16\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 6*m + 45. Is 41 a factor of (-1 + m\/15)*-972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*k - 2*w, -3*k = 3*w - 15 - 0. Calculate the remainder when 15 is divided by 50\/6 - 2\/k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 192 = 63*o. What is the greatest common factor of o and 1870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -31*q + 3. Let i be g(-4). Suppose -5*j + 3*b = -i, -3*j - b = 2*b - 57. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -19*d**2 - 11*d - 22. Let g(r) = -6*r**2 - 4*r - 8. Let j(l) = 4*c(l) - 11*g(l). Let i(o) be the first derivative of -2*o**3\/3 - 104. Give i(j(y)).\nAnswer: -200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*d = 2032, -419 = -4*a - 5*d + 2287. Suppose f + 2 - a = n, -2*f + 3*n + 1339 = 0. List the prime factors of f.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -48, -57, -66, -75?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**2 + 9. Let x(m) = m. Calculate x(v(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 7, -3, -0.3, 62, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15132649 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -14*h + 17*h. Calculate the remainder when 43 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-11)\/(-1))*(-138)\/(-46). Let g be 3*(4\/i)\/(5\/(-6)). What is the second biggest value in -4, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702566?\nAnswer: 2, 7, 17, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1280 and 280.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.08 + -0.08. What is the second biggest value in 2\/17, p, 25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -354*((-2)\/(-10))\/(57\/(-95)) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -650*42026*3\/(-4). Suppose -5*n - h = 69999998, 0 = -2*n + 2*h - 7512329 - a. Round n to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6614 + -6614. Let t = -9.7 - -0.7. Which is the biggest value? (a) t (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 131 (b) -3\/4 (c) -4 (d) 0 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.240633.\nAnswer: 0.0481266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 - 13. Suppose -j + 35 = 4*j. Let t(p) = 3*p**3 - 9. Suppose -3*l - 4*x - 31 = 0, -l + 37*x = 33*x - 11. Give j*t(u) + l*z(u).\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 3. Let z be a(5). Let x be (-6)\/(-12)*0\/1. Solve 5*k + h = -24, 5*k + x*k + z = 3*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 142579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + -1 + (53 - 50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 1133.\nAnswer: -312\/1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*a = 10, 27*a = 2*u + 24*a + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 12. Let m = -4.99953 - y. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 - 43995*u - 87970 = 0. Calculate u.\nAnswer: -8797, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -3, -27188 in increasing order.\nAnswer: -27188, -3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 3*x**2 + 2*x + 2. Let a(o) = -4*o**3 + 7*o**2 + 5*o + 5. Let n(v) = 2*a(v) - 5*k(v). Find the third derivative of n(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-28 - -31) - -40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*m + 380*m + 2 - 114*m + 646*m in the form h + d*m and give d.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 335 (c) 106 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/5))\/k)**30*(k*k**(-4\/3)\/k*k*k)\/k**8 assuming k is positive.\nAnswer: k**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (22 - 2) - (1 + 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 5) to base 13\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g - 55*g**2 - 20*g**3 - 37*g + 55*g**2.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 37 + 22 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/60)\/((-2)\/(-28)). Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*m - 487*k**2 - 13*k + m - 1 wrt k.\nAnswer: -2*m - 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(40\/(-15) - -2). Let c(y) = -5 - a*y + 4*y - 1 - 2. Let n be c(-2). Solve 6 = 3*o - n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) + sqrt(150)*-2 + sqrt(6)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -15 - -15) + -31.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3992, 3\/5, 0.4, -0.4 in descending order.\nAnswer: 4, 3\/5, 0.4, -0.3992, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10502081.\nAnswer: 101, 103981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*o - 39 = -14, 2*o = -2*g + 2. Let r be ((-40)\/(-15))\/(g\/186). Suppose -3 = 3*i + 6, -j + 3*i = -r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-35) - 3009\/30*2. Let x = w - -373. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**9\/63 + 2*b**5\/15 + 5*b**2\/2 + 6. Let i(f) be the second derivative of t(f). Find the third derivative of i(k) wrt k.\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492856*d + 492678*d = -4272 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f - 58. What is the hundreds digit of b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467.370617 times -5?\nAnswer: -7336.853085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (2 - (-14)\/8)\/(126\/840).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 3 = 10*u + 3*q, -251*u + 4*q - 13 = -250*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 + 7 + -3 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/10 + 367\/130. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 6:36 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qta. What is prob of sequence atq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32490143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20910 (base 13) in base 4?\nAnswer: -32110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937 divided by 94520.\nAnswer: 2937\/94520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 72 (b) 4 (c) 5 (d) -8 (e) 9\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046356.\nAnswer: 2, 383, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1836)*1)\/(sqrt(12)\/(sqrt(12)\/sqrt(3))).\nAnswer: 4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 22*y**2 + 12*y - 30. Let m(t) = -7*t**2 - 4*t + 11. Determine 4*i(g) + 11*m(g).\nAnswer: 11*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7509 - 4270. Is o a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -54. Suppose -5*b = -4*n - 18, -3*n - 2*b = -5*n - 10. Let g = n + v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -29, 3, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9060464451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhp when three letters picked without replacement from qqqqoqhhqhquqqopuqu.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vioiivoi. What is prob of sequence ovv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 432\/5 (b) -57 (c) 1 (d) -0.0337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1387 - -1386.8. Suppose 2*n - 3 = -3*x - 2, 0 = 4*x + 4*n. What is the closest to x in 1\/6, -3\/7, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 5.06. Let h = 9\/220 - -79\/220. Let k = 13 - 13.3. What is the closest to -0.1 in h, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.653 - -65. Let g = -0.153 - j. Put -13, 3\/5, g in descending order.\nAnswer: 3\/5, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5029 and 1177?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/4)*u**1*(u\/((u*u*u\/u**(-2\/3)*u)\/u*u)*u)**17 assuming u is positive.\nAnswer: u**(-523\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:48 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380 - 365. Solve -18*r = -d*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441984?\nAnswer: 2, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1646 = -3*q + 1446, -628 = -x - 3*q. What is the lowest common multiple of x and 504?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 4*d + 2. Let q be l(-2). Let u be (-2)\/6 + 32\/q. Suppose -n + u*z = -47, -2*n = 2*n - z - 150. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1252349, 1252333, 1252315, 1252295, 1252273?\nAnswer: 1252249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 49*a**2 - 5*a + 1. Calculate the remainder when p(-1) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - (7 + -12)) - (-14 + (-40 - -32))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*z. Let u(a) = -4*a**2 + a**3 + 2*a**2 + 164 - 2*a + z. Is u(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/457 (c) 2\/5531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.91782 rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 68*x**2 + 547*x + 950. Calculate s(-59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*0\/(-5). Let k(d) = -4 + l*d**2 + 4 + 5*d**2. Let f(v) = -v. Give f(k(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 614*f**2 - 49766*f - 399618.\nAnswer: -2*(f + 9)*(f + 149)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*m + 2*m + 246 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376556, -752917, -1129276, -1505633, -1881988, -2258341, -2634692?\nAnswer: -3011041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 2 = 0. Let s(o) = -4*o**2 - 2*o**x + 4*o**2. Let l(z) = z**2 + 2*z. Let r(f) = 3*f**2 + 9*f. Let j(q) = 9*l(q) - 2*r(q). What is s(j(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**0*a)\/a)\/(a*a\/a**1))\/(a**(-2\/7)\/a)**(11\/3)*((a*a**(1\/4)*a*a)**46)**6 assuming a is positive.\nAnswer: a**(6312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 364792420 divided by -230\nAnswer: -1586054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 2}. What is prob of picking 2 u and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = 4. Let i = -6 + v. Determine c so that 0 - c**i + 1\/3*c = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**3 - 2*r**2 + 2*r - 1. Let g be (4\/(-8))\/(1\/(-12)). Suppose 0 = c - g*c + 5. Let j be q(c). What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 - 2?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -145, -148, -151, -154?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 46. Let z be 1\/((-3)\/(-2)*(-6)\/r). Let a be (z + 10 - 1) + 12\/(-6). Solve -a = u + 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -18784359182.1\nAnswer: 18784359180.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1674610?\nAnswer: 1674613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 356*p**4 + 9066*p**3 + 62896*p**2 - 46424*p - 700896 = 0. What is p?\nAnswer: -149, -14, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 293807 = 1069393. Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*b = 1163*b + 779*b + 1301*b - 375438 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 320 = -b - 12*c, 3*b + c - 925 = 0. Suppose b*k - 12 = 304*k. Sort -3, 6, 0, k in increasing order.\nAnswer: -3, 0, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2. Suppose 5*i - a = -3*a - 14, 2*a + 12 = -4*i. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22825000 divided by 2075?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, 8*h - 4*h + 6 = 2*y. Suppose 2*l = -j - 6, -j - 8 = -y*l - 22. Solve -j*a - 9 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.9 - -8. What is the third biggest value in 0.3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11650000 + 226?\nAnswer: -11646441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, t: 4}. What is prob of picking 3 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2873 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 14*r - 29. Let y be s(-16). Solve -y*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1016 - 996. Are r and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 453 and -23525.5277.\nAnswer: -23072.5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 3696?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/30 and -37\/416.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, m: 13}. Give prob of picking 3 m.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 7*m**2 - m + 10. Suppose 4*i + 3 = 2*b + 1, 4*i + 7 = 3*b. Let o be k(b). Let n = o - 16. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*p - 21. Does 15 divide p\/10 + 228\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w - 33 + 18 + 14. List the prime factors of f(-8).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + 6*k**2 + 2*k + 5. Let w be t(4). Let s = w - -150. Put s, 2, 0, 4 in decreasing order.\nAnswer: 4, s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 49. Let a = d - 2. Let z be (-1)\/(1 + 0)*12. Sort -2, -3, a, z in decreasing order.\nAnswer: a, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v = -48*v + 3*f - 26344, 5*f = -35. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592747.\nAnswer: 3592747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 234053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from mzhlu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (0 - 1) + 3\/(-3). Suppose u = 7*m - 98 - 49. Suppose -q + 6*q = 3*j - m, 13 = 2*j - 3*q. Solve -i - j = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 3. Let k = -2.5579 + 0.5579. What is the third smallest value in h, k, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -4376?\nAnswer: 4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -418 * 27053.6.\nAnswer: -11308404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - v + 3*v + v - 3 + 3 - 3 - 4*v + 3 + (0 + 5 - 3)*(v - v + v))*((-4*v + 0*v + 2*v)*(-4 + 2 + 0) + 3*v - 3*v - 3*v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 8*g - 48*g - 903 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 374\/3 - 2\/12*-2. Let u = a + -113. Solve 0 = 5*s - s - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnnpvkcvkvpvnkcpkv. What is prob of picking 2 c, 1 v, and 1 n?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 53\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/19 - 557774*a**4\/19 - 8924866*a**3\/19 - 8367090*a**2\/19 = 0. Calculate a.\nAnswer: -15, -1, 0, 278903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s + 9. Let i(g) = -5*g - 3. What is -17*i(o) - 6*l(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 8. Let x(t) = 3*t**2 + 62*t + 32. Let w be x(-20). Determine n(w).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27979 - -43609. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.086 days in minutes?\nAnswer: 1445883.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6486553, 12973106, 19459659, 25946212, 32432765, 38919318?\n\"Answer: 6486553*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = n - 0*n + 1, -i = n - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -760*k + 1514*k - 758*k - 22*k**2 + 29*k**5 - k**4 wrt k?\nAnswer: 1740*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1156, -2, -1, 316, -3?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n + 5. Let k(c) be the third derivative of c**5\/15 + c**4\/8 - 5*c**3\/6 + 20*c**2. Let y(q) = -3*q**2 - 2*q + 4. Determine n*y(o) - 2*k(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -310?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 46.23. Let r = -0.07 - i. What is the third biggest value in r, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*s**2 - 93*s**2 + 38*s**2 - 242*s**2.\nAnswer: -418*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4\/6 + 5 + 3430\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 22 = 3*z. Suppose 3*p + 67 - 39 = s, -3*s - 4*p = -84. Let y = s + z. Solve -3*d = -3*k - 2*d + 7, -y*d = -4*k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let d(g) = 3131*g - 3137*g + 8 + 0. What is d(v(y))?\nAnswer: 12*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13103991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15122300 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/2 - 3*d**2\/2 + 5*d + 10. Let s(j) = 1. Determine -2*q(p) - 6*s(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-672)\/32 + 21)\/(0 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 0.2, -52, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 13 in increasing order.\nAnswer: -5, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0 + 3\/2*a**2 - 13\/6*a**3 - a. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3637\/6 + 604. Let r = 3\/2 + x. Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 3*r - 27, 5*u + 4*r = -34. Let c be 8\/u*18\/(-12). What is the second derivative of 0*a + c*a - 4*a**2 - 4*a + 3*a**2 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*d + 11826 = 0, 15787 = 4*t - 4*d + 3*d. Let z = t + -2205818\/559. Let y = -45359\/11180 - z. What is the common denominator of -35\/2 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 10:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 8. Let y(f) = -f + 6. Let b be y(5). Let q = -1 + b. Is 8 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*z - 3*n, 5*n - 30 = 2*z + 3*n. Let y = 30 + z. What is the remainder when 37 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 4*b**4 + 4*b**4 + (-12*b - 9 + 9)*(-b**3 + 4*b**3 - 4*b**3) + b**4 - 3*b**4 + 3*b**4.\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197191966624105 + 2*k - 1197191966624105.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*c + 3822 - 1910 - 1912.\nAnswer: 103*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(3\/(-2)))\/(-1). Let p(f) = 7*f + 112. Let m be p(-16). Put j, 1, m in decreasing order.\nAnswer: j, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 2 = 16*l. What is the lowest common multiple of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -6*i + 63. Suppose -5*k - d = -721, -5*k - 3*d = -5*d - 718. Calculate the greatest common factor of i and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806 = 19*p - 711 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3413015, -11, 1.\nAnswer: -3413015, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813820 is divided by 101692.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 407 - 0?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:23 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (-7 - (-5 + -8 + 16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007484 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o - 1102 = 377 + 1682 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-5)\/8)\/(48\/(-448)). Let h(g) be the first derivative of -g - 4 + 1\/3*g**3 + y*g**2. Determine h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.067 + -0.033. Let q = 5.1 + k. Let a = q - -27.999948. Round a to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.9. Let z = 1.28 - 2.28. Which is the closest to -0.1? (a) o (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*i - 16 = -0*i, 8 = 4*r - 2*i. Let d(v) = v**3 - 5*v**2 - 5*v + 9. Let z be d(6). Solve 0 = -3*j - r*j + z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 894 divided by -62.\nAnswer: -447\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1527*c**2 + 127*c - 716. Let f(q) = -q**2. Calculate k(f(v)).\nAnswer: -1527*v**4 - 127*v**2 - 716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 1220 + 418 + 396 - 10*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*j + 12, j + 15 = 5*q - 3*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 514770 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71, -141, -211, -281, -351, -421?\n\"Answer: -70*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in 1\/4, 1, -3\/4, -0.06, 5\/2, 8\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrxzxrzzrrrzrrrr. Give prob of picking 1 r and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + (2 - (4 - 2)). Which is the smallest value? (a) -3 (b) w (c) -0.3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*y = 257, 5 = y - 0*y. Let a = 64 + q. Let t = a - -107. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-3) - (-19 + 20)*(-14)\/7. What is the nearest to -5 in z, -2, 2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 times 1?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -9*w**4 + 23514*w**3 + 172824*w**2 + 251616*w - 251520 = 0.\nAnswer: -4, 2\/3, 2620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**31*y**7)\/(y\/(y**(-2\/3)\/y))**29 assuming y is positive.\nAnswer: y**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 2. Let j be 4\/3*6\/z. Is j <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3988 + 3982. Let w(o) = -13*o**2 - 3*o + 3. Let l(h) = -285*h**2 - 65*h + 65. Calculate q*l(g) + 130*w(g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/7695*3\/(-4))\/(4*15\/1200).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f + 2 - 2\/3*f**6 + 0*f**4 + 8\/3*f**3 - 8\/5*f**5 + 2*f**2. Find s such that u(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r + 52 = -228 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*r = -14 - 18, 3*b + 44 = -5*r. Let g(c) be the third derivative of -c**6\/120 - c**5\/10 + 5*c**4\/12 + 5*c**3\/6 - 4*c**2. Is g(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1821127*j**2 - 381800*j?\nAnswer: 3642254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/((-78)\/(-936)). Let f(v) be the third derivative of 1\/1260*v**7 - 1\/360*v**5 + 0 + 0*v**4 + a*v**2 + 0*v**3 + 0*v**6 + 0*v. Factor f(h).\nAnswer: h**2*(h - 1)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 - 7*h. Let r(f) = 6*f**2 + 6*f. Let x(i) = 3*g(i) + 2*r(i). Factor x(b).\nAnswer: 3*b*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.73 - 5. Let t = y + 0.249. What is t rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h + 10. Let n(t) = 2*t**2 + 2*t - 7. Is n(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (3 - 10)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 + 42*i**4 - 198*i**3 + 408*i**2 - 375*i + 126 = 0. Calculate i.\nAnswer: 1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-12)*c)\/(((c\/c**(-3\/8))\/c)\/c*c))\/(c\/(c**(-20)*c)*c**14*c) assuming c is positive.\nAnswer: c**(-171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2379.2313, 0.3, -1.\nAnswer: -2379.2313, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1654 (c) -16 (d) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661275972.\nAnswer: 2, 3, 7, 229, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/3 + 6. Let w(j) = -7*j. What is w(n(u))?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 26 = 30. Suppose 8 = 4*z, t*z - 216 = 2*a - 4*a. Is a a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -24. Let b(r) = -3*r**2 - 111*r - 855. Let c be b(-11). Sort c, q, 2 in increasing order.\nAnswer: q, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -1\/60*k**5 - 1\/120*k**6 + 1\/3*k**3 - 88*k**2 + 0 + 1\/3*k**4 + 0*k. Give j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 19.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -18. Let l = w + 18.8. Which is the closest to 2\/7? (a) 4 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45.04882 milliseconds?\nAnswer: 0.04504882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 4 + 35*g + 8*g + 9*g - 64. What is the units digit of v(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 22 + -3 - ((-3 - -5) + -3 - -27)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127719, 127723, 127739, 127773, 127831, 127919?\nAnswer: 128043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -10 + 19 - 45 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 m when three letters picked without replacement from gmbbmbbgmmg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*s - 220*s - 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 - 45*r**2 - 6*r + 212. Is p(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314924673.\nAnswer: 3, 7, 1453, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.290240772 rounded to 5 dps?\nAnswer: 0.29024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*s**2 + 21883*a**2*s - 2*a**2 - a*s**3 + 266*s**2 - s wrt s.\nAnswer: 10*a**2 - 6*a*s + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 538 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*g + 4*w, -3 + 12 = g + 3*w. Let v(t) = -12*t + 139. Let b be v(g). Let c(u) = u**2 + 7*u + 6. What is c(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-1\/12)))\/(s**(2\/23)\/s))**31 assuming s is positive.\nAnswer: s**(7099\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.8. Let y(s) = -2*s - 7. Let z be y(0). Let t be z - -8 - (-10)\/(-4). Sort -0.2, t, r in descending order.\nAnswer: r, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let u = -90 + 53.5. Let g = -37 - u. What is the closest to 2\/5 in 2, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {k: 1, j: 4, f: 1, a: 1, n: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15864 is divided by 2386?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let w be 7\/(-6) + 2 - q\/(-2). Let m be (-1)\/3 - (-2)\/6. Which is the nearest to -0.02? (a) m (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.3293 litres to millilitres.\nAnswer: 795329.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.956, -6\/7, 66\/7.\nAnswer: -6\/7, 6.956, 66\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363 - -363. What is the nearest to 0 in z, -0.1, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/20 - q**4\/3 - q**3\/2 - 7*q. Let p be (2 - 1)\/(3\/(-9)). What is g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:01 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.109 - 0.461. What is h rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 25 + 8 + -20 + -28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/5 at least -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 0*d + d + (0*d + d + d)*(0 + 4 - 2))*(4*d - 4*d - d)*(-8*d - 6*d + 13*d) as b*d + z + t*d**2 + a*d**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(18))\/(sqrt(6)\/(sqrt(3) + sqrt(48))).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 283392223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 7. Let h(y) = -2*y + 8. Suppose 5*r + 5 = -3*g, -r + g = 2*r + 17. Let t(i) = r*x(i) - 3*h(i). Let o = 1 - -3. Calculate t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 = 4*k, -3*p = -2*k + k + 7. Suppose 0*o + 5*o + 2*r = 5, 4*o = -2*r + 2. Let a(m) = m - 2. Let l be a(o). Solve k*h = -3 - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/120 and 71\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 + 7*h**2 + 2*h**2)*((-4*h**3 + 0*h**3 + 0*h**3)*(5 - 3 + 1) + (2 - 4 + 0)*(3*h**3 - 2*h**3 + h**3)) - 2*h**2 + 2*h**2 + 4*h**5.\nAnswer: -28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250275363 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.86418 micrograms in grams?\nAnswer: 0.00004086418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100110001010101?\nAnswer: 100110001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(18)\/sqrt(3)) + sqrt(121)\/(sqrt(99) + sqrt(11)))*-4 + 2*((sqrt(1331) - (sqrt(1331)*-4)**2)*-2 + sqrt(1331)).\nAnswer: -27*sqrt(11) + 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2222, -2074, -1830, -1490, -1054, -522?\n\"Answer: 48*y**2 + 4*y - 2274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881956000 rounded to the nearest 1000000?\nAnswer: 2882000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*u*v**4 - 2*u*v**3 - 9*u*v**2 - 23*v**2 wrt v.\nAnswer: -360*u*v - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**4\/4 - h**3 + h**2\/2 + 2*h - 4. Let f be q(3). Solve 0 = -2*d + 6, 0 = -2*m + f*d - 8 - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, q: 4, x: 2, p: 2, d: 1, f: 3}. Give prob of picking 2 f and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101 (base 4) to base 6.\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 64. Let l = o - 20. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 4\/9, -12, -21\/4, -2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7222, 14425, 21624, 28819, 36010, 43197?\n\"Answer: -2*h**2 + 7209*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l + 48 = 0. Let v(x) = -19*x - l*x + 37*x - 14*x. Let w(s) = s. What is v(w(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose q*m = 4 + 80. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4)\/28 + (816\/(-224))\/(-17). Let 0 - c**4 + c**2 - 1\/2*c**5 + n*c + 0*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 10 = -5*h + 5*j, 0 = 4*h + 2*j - 8. Suppose p + 3*a = 40, a - 15 = -h*p + 40. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 1, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-870)\/(-6954) + (-654)\/4142.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47129, 5, -9 in descending order.\nAnswer: 47129, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005182349 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 399149\nAnswer: -5\/399149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhg. What is 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: Collect the terms in 6*m + 7*m + 5*m - 7*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 2. Let u(v) = 1. Let b(h) = -j(h) - 4*u(h). Let x = -2 - -1. Let g(o) = -1. Calculate x*b(i) + 6*g(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -272 (c) -0.1 (d) -1\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6554 is divided by 73?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and -4?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(21\/18)*20. Let p = -82 + k. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2 + (4 - 5). Suppose 3*o = -t*c + 83, 4*o = -c - 0 + 20. Calculate the smallest common multiple of c and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 11*j - 65. Solve o + 3*h = j*h - 4, 0 = -5*h + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73\/6 - 85\/2. Let s = -30 - h. What is the biggest value in 0.1, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40363000 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44744 is divided by 410.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 957975 + -957984.00018. Let d = -19 - -10. Let i = d - j. What is i rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 greater than 105211\/504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 3*i - 6. Let c(h) = -11*h**2 + 9*h + 17. Let q(f) = 3*c(f) + 8*d(f). Calculate q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-220))\/((-102)\/(-48246))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*f + 4*q, 16*q + 139 = 91 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100011 - 111000111110?\nAnswer: -100110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 41 = -p, -5*y - 19 = 2*p - 67. Suppose 2*l = -4*v + y, -2*v + 4 = -l + 5. Solve 4*h - l + 1 = -5*t, 2*t - 14 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 - 181. Solve -w*r + 1 = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {m: 1, a: 3, k: 4, b: 1, s: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 9}. What is prob of sequence llr?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -92*v**2 - 478*v - 76. Give r(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 2. Let z be ((-2)\/(-15))\/(n\/10). Put 0.5, 0.2, z in decreasing order.\nAnswer: 0.5, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -22001?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0, -5, 12, -3, 6, 470 in ascending order.\nAnswer: -5, -3, 0, 6, 12, 16, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:55 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34887*d + 37805*d + 215932 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 158, 207, 240?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 222.\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-14)\/2 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**4 - 276*j**3 + 1728*j**2 - 3888*j + 1296.\nAnswer: 3*(j - 6)**3*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.12 (b) 0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose m + s*g - 4 = 4*m, 3*g = -3*m + 36. Suppose -5*u + 2 = f, -1 = 3*u - 4*f + m. Solve 2*a - 4 - 6 = u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7568*f**5 - 7*f**4*y + 5*f**2*y - 3*f**2 - 97*f*y + 1 wrt f?\nAnswer: 454080*f**2 - 168*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or 348841?\nAnswer: 348841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-14) + 0 + 1. Let z(k) = k**3 - 3*k + 2. Let v be z(2). Sort v, -4\/3, q in descending order.\nAnswer: v, q, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/(-75) - (-2044)\/20. Calculate the greatest common divisor of j and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2817.1751 and -7581?\nAnswer: 10398.1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1515046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 13*q**2 + 4. Suppose r = 3*w + 3*r + 36, -2*w + 5*r = 43. What is the tens digit of f(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -71*h**4\/12 + h**3\/3 - 70*h**2 - 274*h - 1. Find the second derivative of r(i) wrt i.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 5*n - 16, -4*t - 8 = -2*n. Put 10, t, -1 in decreasing order.\nAnswer: 10, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -10*f + 194. Find k such that 791*k + 10 - 60*k**f - 53*k**2 - 806*k - 25*k**2 - 7*k**2 = 0.\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, d: 2, w: 1}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131103233 (base 4) to base 11.\nAnswer: -82214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 307314 and 168?\nAnswer: 1229256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 36*t - 1. Is k(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 50*w**2 + 2987*w - 5980. Determine k(2).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76\/17481 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 0. Let m = y - 3. Suppose -m*l - k = -38, 0*l + 2*l - 30 = -3*k. What is the highest common divisor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.18\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueiwege. Give prob of picking 1 g and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1091*m**2 - 19*m - 20. What is the tens digit of g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - y - 3*y + y + y + (2*y - 1 + 1)*(2 - 1 - 3) - 3*y - 2*y + 4*y - 3*y + 0 + 0 + 6 - 6 - 3*y)*(2*y**2 + 0*y + 0*y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3336 - -3368. Solve 104*m - i = 112*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 91?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 908 - 1467 - 8*g + 12528. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 2*z**2 + 4*z - 2 + (-2*z + 4*z + z)*(-2*z + 13*z - 2*z).\nAnswer: 25*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 115357025?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 813, 3, 4, -2, 2 in ascending order.\nAnswer: -4, -2, 2, 3, 4, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 5*f - 188. Suppose -12*c + f*c + 3082 = 2*l, 0 = -5*c - 15. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 243\/36 + (-21)\/28. Which is bigger: 278 or w?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/7 - 5928*j = 0. What is j?\nAnswer: -10374, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 4*a - 6. Suppose -z + 2*z + v + 5 = 0, 0 = -5*z + 5*v + 5. Let b be 0 + z - (-42)\/(-14). Calculate w(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 - 3 = 0. Sort 10, 3, r.\nAnswer: 3, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/770 and -157\/2646.\nAnswer: 145530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lssollbl. Give prob of sequence lls.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-246755)\/(-290300))\/(17\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022067 take away -16.9?\nAnswer: 16.877933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(288) - (-4 + sqrt(100)\/sqrt(2))) + 0)**2.\nAnswer: 98*sqrt(2) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + 9*k**4 + (0*k - 4*k + 5*k)*(k**2 - 2*k**3 - k**2) - 4*k**4 + 2*k**4 + k**4 + (3*k**3 - 2*k**3 + 0*k**3)*(-k + 4*k - k).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 13*s + 1. Let h be m(-7). Let f(o) = -15*o + 12. Let d be f(h). Let u = -19 + d. What is the remainder when u is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*j - 7 - 129*j - 10.\nAnswer: -253*j - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheyzzzyqzyzyyqqhyz. What is prob of picking 1 y and 1 h?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10896179 + -11?\nAnswer: 10896168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/25, -4\/3, 3\/2, 1\/7, 0, -0.429, 1?\nAnswer: -0.429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3806.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + u = -3*v + 26, -3*u - 42 = -5*v. Let r(j) = -j + 4. What is r(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(363) - -6*(4 + sqrt(363))) + 3) - -5*(sqrt(363) + (sqrt(363) - (sqrt(363) + -4)))*-1*4)**2.\nAnswer: 39688*sqrt(3) + 182416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 10. Let s be u(5). Let r(j) = -64*j + 2654. Let o be r(41). Solve -5*g = 5*w, -5*w = -s*g - 0*g + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/574)\/(2\/(-72))*1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198457440 divided by 71285.\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)*z**(3\/8)*z)\/(z**(-2))**28)**(-2))**(-17) assuming z is positive.\nAnswer: z**(7531\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t - 13*t**5 - 9*t - 3*t**5 + 4*t wrt t?\nAnswer: -320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 6*a**2 - 2*a**2 - 7*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/8*2\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8829 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374114*v**5 - 2*v**2 + 1210*v - v**3 + v**3 + 369345*v**5 wrt v?\nAnswer: -286140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2404\/114190*(-38)\/(-6))\/(2\/36)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let g(t) = -3*t**2 - 25*t + 49. What is g(o(v))?\nAnswer: -3*v**2 + 25*v + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54483\/(-88) + (-1)\/(-8). What are the prime factors of -8 + (7 - (n - -2))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 35208 = 3*g + 3*q, 2*g + 4*q - 23472 = 0. Suppose -10*w = -6*w + 3*h - g, -11728 = -4*w - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*i**2 + 13*i + 682.\nAnswer: -14*i + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 32*z - 231. What are the prime factors of o(21)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -193307 and -2.58463135?\nAnswer: 193304.41536865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2411*w = 2364*w - 235 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 2*j**2 + 10*j**3 - 9*j**3 + 6*j**2 + 7. Give y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/15 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**(-5\/2)*f)))**(19\/5)*(f\/(f**(-3)\/f))**(1\/23))**27 assuming f is positive.\nAnswer: f**(-10449\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 3, y: 5}. What is prob of picking 1 y and 2 a?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z - 8. Let n(k) = k - 1. Let l be ((-6)\/5)\/((-9)\/30). Let b = 3 - l. Let t(u) = b*d(u) + 4*n(u). Determine t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 55.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (0 - -6) - (-4 + 2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 - 5 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 7*k**3 + 3*k**2 - 3 + 3.\nAnswer: 7*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2873 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9838)\/(-10) + 8\/(-10). Let a = -588 + v. Calculate the remainder when a is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 740\/17 in -1, 0.059, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - 12. Let l = -58 - o. What is the biggest value in 0.5, l, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593328193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/3)*r)\/r)**(-36)*(r*r**(-3\/7))\/r*r**(-3))**(1\/9) assuming r is positive.\nAnswer: r**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1636 + 1013 + v - 1555 to the form i*v + q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239974, 239912, 239848, 239782, 239714?\nAnswer: 239644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13473277?\nAnswer: 151, 89227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 3*y**2 + 16*y - 75. Calculate j(0).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*l**5 + 16584*l**2 - 20487439*l wrt l?\nAnswer: -10820*l**3 + 33168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**3 - 82*m**2 - 70*m - 101. What is a(-10)?\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.923830973 - 5.\nAnswer: -45.923830973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -46. Let c = h + 71. Suppose 0*z - 3*z = -c. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -46*z + 78. Which is smaller: 88\/31 or z?\nAnswer: 88\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2356.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67527578*n - 37693903?\nAnswer: -67527578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j. Let v be s(0). Let r(i) = -i + 10*i - 2 - i**2 + v. Is r(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 313 - -105122?\nAnswer: 105435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9798 - 9788. Which is the nearest to 2\/5? (a) -95 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6821*j - 6944*j = 246 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1323981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:20 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/16, -1, 55?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 2*z - 5*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1484*h - 9. Let b be z(2). What is the common denominator of 2\/9 - b\/(-936) and -53\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1199790 and 999825.\nAnswer: 5998950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.009, 20?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:59 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 - 218 = -7*j. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o + 4*o + 3 + o**3 - 2 + 5 - 5 as s*o + i*o**3 + b*o**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccyfyycfcccyy. What is prob of sequence yyff?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-276)\/16)\/(-1)*-46*(-888)\/7659.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2 - f - 1. Suppose 2*z + 9 = 7. Let c be m(z). Suppose 3*l - c = 2*l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 36 - 73)*(-r + 0*r + 0*r + (-1 + 1 + r)*(-3 + 0 + 2) + 4 - 2*r - 4 - 3 + r + 3 + (3*r + r - 2*r)*(0 - 1 - 1)).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 46*f**3 + 28*f**2 + 17*f - 12. Give k(-3).\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 2586068?\nAnswer: 7758204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 7*n + 5. Let q(w) = 2*w**2 - 13*w + 9. Let o(x) = 11*a(x) - 6*q(x). Let b(f) = 0*f - 8*f + 62 - 18*f**2 - 57 + 13*f. What is b(g) - 5*o(g)?\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64006.\nAnswer: 2, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - w + 3, 549*t = 550*t + 7*w - 53 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-9)\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d + 12. Let h(v) = v - 1. Let j = 2018 - 2019. Calculate j*b(x) - 12*h(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171689\/1222 + -1\/611. Let s = m - -110. Calculate the common denominator of (198\/(-240))\/(12\/(-50)) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 + s + 1. Let v(l) = -3*l**3 + 2*l**2 - 5*l - 6. Let q(x) = -4*g(x) - v(x). Calculate q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-64)*-6)\/((-6)\/2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 579 - 481. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652.5041 rounded to the nearest integer?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 3*y + 3. Let d be h(-4). Suppose -3 = -5*s + d. Let k = s - -1. Solve 2*p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose k*n = 5*i + 23, -2*n - 4*i + 0 - 8 = 0. Suppose 3*d + n = -4. Which is smaller: -13\/6 or d?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2656 = -86*s + 212*s - 3392. Let u(w) be the first derivative of 40\/3*w**3 + 45 - s*w + 0*w**2. What is the derivative of u(z) wrt z?\nAnswer: 80*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966 is divided by 783?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1404, 0, 1181, 2\/13?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 491.1235t in grams?\nAnswer: 491123500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 3 - 2 + 8*w - 3 + w**2. What is b(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + x - 6. Let n be g(0). Let m = 8 + n. Suppose -m*h - 5*w = 13, -h + 4*w + 8 = -3*h. What is the remainder when 21 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 71 = -n, 2*s + 21*n - 20*n = 46. Which is bigger: s or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {m: 3, y: 10, r: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 446*a + 2676. Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (2 + 3 + 7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 390049 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*l + 20, 2*l + 15 = 2*r + r. Suppose 12*s - 10 = 7*s. Suppose -s*b + 266 = -l*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**3 - 4*v + v + 5*v + 1. Let t(g) = -g**3 - g + 1. Let m(s) = q(s) + 2*t(s). Find the first derivative of m(u) wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8910 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223231321 (base 4) to base 10.\nAnswer: -441209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/7 + 6*l**3 + 2322*l**2\/7 - 7290*l\/7 = 0. Calculate l.\nAnswer: -27, 0, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/8, 0, 9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 22*k - 4. Calculate v(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125 - (72 - -42)) + (1 - -72).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 7*c - 8. Let f be y(-5). Factor 1\/5*r**5 + 0*r + 0 + 0*r**f + 1\/5*r**4 + 0*r**3.\nAnswer: r**4*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 2, e: 2, t: 1, r: 1, s: 2}. What is prob of sequence ssrt?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812608730 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234 - 1074. Is g a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 2. Let h be n(5). Let b(v) = -v**2 - 9*v - 10. Let r be b(h). Let a be r\/5 + 44\/10. Let k(j) = 2*j - 2. Determine k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*o - 70 = -47*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/7*m**2 + 1\/7*m**3 - 16\/7*m.\nAnswer: m*(m - 2)*(m + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + 2 = 0. Let y = 90 - 70. What is the lowest common multiple of v and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -498, -17, 3 in descending order.\nAnswer: 3, 1, -17, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13722688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*d = -384*d - 1534 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 3*q + 1. Let v(o) = -o - 8*o - 1 + 7*o**2 - o + 4*o. Let j(t) = -10*r(t) - 6*v(t). Let j(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61 and 26.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -427, -873?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1781 - 905. What is m rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 10. Let f be h(5). Solve -t + f = -4*u, 0 = -4*t - u - 4 - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -204, -680, -1606, -3132?\nAnswer: -5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195169051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 - 18*u**4 - 6*u**4)*(-2*u - u + 2*u).\nAnswer: 26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2096 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p**4 + 13*p**4 - 2*p**2 - 2*p + 5*p + 5*p**3 as i*p**4 + g*p + t*p**3 + z + j*p**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(-3*o - 3*o**2 + 3*o)*(6 - 4 + 8).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 + -55. Let o(h) = h**3 - 5*h**2 - 3*h - 17. Let t be o(8). Suppose -t = -3*k - u. Solve 2*y = 4*l + 4, y + k = -2*y - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Suppose -3*a = -2*t + 4*t + r, 3*a = -3*t - 9. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922 (base 11) to base 5.\nAnswer: 13423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + -1 + 16. Let w = -1920 - -1914. Let n = w + l. Solve 0 = c - 0*j - 2*j + 8, c - 3*j + n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.4 * -0.2\nAnswer: -7.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c, 3*f + 5*c - 21 = 0. Suppose -2*q = 4*u - 3*q - 2750, -q + 2059 = 3*u. Suppose -f*v + u = -384. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-950)\/15*3\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -701\/11 > -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(11)) - sqrt(11)) + 2*sqrt(99).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 100. Let l be -47 - (2 + -2)\/(-1). Let m = 331\/7 + l. Which is the smallest value? (a) 3 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77212 != 77214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**3 - r**2 + (-2 + 2 + 2*r**3)*(-4 - 2 + 4))*(-184 - 258 + 208).\nAnswer: 702*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1 - 5 + 7 + d**2. Let p be 21\/14 + (-2 - 10\/(-4)). Let h be f(p). Solve 5 = h*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168564.\nAnswer: 2, 542141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2 + 5151\/68 + 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/33)\/b)\/(b\/b**(13\/5)))\/((((b**(-4\/21)*b)\/b)\/b)\/(b*((b\/b**(1\/12))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(12227\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97920 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12271?\nAnswer: 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (390\/12)\/(-13)*4\/(-2). Calculate the greatest common factor of i and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677*h - 1221 = 1727*h + 629 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + 1 + -2 + sqrt(1620) + 0 + -5 + 1 + sqrt(1620))*-3)**2*4.\nAnswer: -470088 + 36288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/84*(-1536)\/288.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w - 27*w - 2 + 3.\nAnswer: 17*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmq when four letters picked without replacement from {m: 9, u: 1, d: 5, q: 5}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 2*k - 10. Let u be g(6). Find the common denominator of 3 + (-65)\/u + 12\/6 and 59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/2 - 6*a**3 - 10*a**2 - 248. Let f(o) = 0. Calculate o.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27682 + -17297. List the prime factors of p.\nAnswer: 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4821, 5269, 5729, 6207, 6709, 7241, 7809, 8419?\nAnswer: 9077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, u: 2, r: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -3061731?\nAnswer: -3061731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1286694 and 12204?\nAnswer: 872378532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536052068.\nAnswer: 2, 11, 5239777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a + 44*a + 33*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 308?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, m: 1, z: 6}. Give prob of picking 4 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -22, -11.\nAnswer: -22, -11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213391151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 73*u**3 - 22*u**2 + 97*u**3 to j + f*u**2 + s*u**3 + g*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + 2*v + 3. Let y(h) = 7 + 22*h - 8*h - 11*h - 5*h - h**2. Let a be y(2). Let n(o) = 1. Determine a*i(p) + 2*n(p).\nAnswer: 3*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (-2 + -1) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 72?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/49)\/9*(-392)\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 + 49.6. Let s = 64.0000002 - y. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1282 + -359. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a + 4. Let p be z(5). Let v(l) = -182 - 176 - 10*l**3 + 24*l**3 + 357. Determine v(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(10\/11))\/(374\/68))\/(8\/(-22))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + sqrt(637)*-2)*4*-6)**2.\nAnswer: 366912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f\/(f**(8\/5)*f)))\/f))**50 assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10*v - 15. Let m be (-2)\/18*v*-3. Is 152 + (-3)\/(-1)*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8665, -17322, -25979, -34636, -43293?\nAnswer: -51950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 114?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*s - 24365 = -5*b + 67*s, -4*b = -s - 19492. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d. Let u(j) be the first derivative of 3*j**2 + 31. Give u(n(g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17812 - -17809. What is the third smallest value in -7, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3457*k**2*t**2*y + 3*k**2*t*y**2 + 4*k**2*t*y + 2*k*y**3 + t**2*y**3 - 16*t wrt t?\nAnswer: 6914*k**2*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 950.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*y + 3*n, n - 7 = y + 2*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19299, 38617, 57969, 77373, 96847, 116409, 136077, 155869?\nAnswer: 175803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 1155*p + 2764*p - 1396*p to d + m*p and give m.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45570 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -472, -420, -338, -226?\n\"Answer: 15*i**2 + 7*i - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v**3 - 14*v**2 - 10*v + 12 = 0. What is v?\nAnswer: -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, 8, 3\/2, -0.5, -31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-4 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11242714?\nAnswer: 2, 7, 101, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 230880929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1404091 to the nearest one thousand.\nAnswer: 1404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 424*j**2 - 5366*j + 1601. Calculate s(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2039303, 4078608, 6117913, 8157218, 10196523, 12235828?\n\"Answer: 2039305*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/26? (a) -3\/4 (b) -46 (c) 6\/5 (d) 0 (e) -5\/6 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 524992777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1552, 1542, 1532, 1522?\n\"Answer: -10*n + 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.16 (b) 2 (c) -9 (d) 6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 968405 divided by -5\nAnswer: -193681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 51.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 9. Suppose -215978 = -4*g - c*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 493 = u, 4*u = -5*r - 0*r - 630. Let z = r + 386. Suppose -2*j - j = -z. Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 0, j = 4*s - 2*s - 2. Let k be (-3)\/6 - 81\/j. Suppose 39 = 3*p + 5*i, p - 2*p = -2*i - k. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.3. Let r = 10 + -37. Let h = -26.7 - r. Which is the nearest to 0? (a) z (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 7. Let h(p) = -p - 3. Let s(t) = -5*h(t) - 2*o(t). Let d(v) = 1. Let n(l) = 4. Let b(w) = 7*d(w) - 2*n(w). What is 3*b(z) + 3*s(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 121. What is the least common multiple of 105 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-86 + 0)*19\/(76\/(-30)). Suppose -14*l = -17*l - o. Is l greater than or equal to -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 27 = -3*s + 149, -138*z - 230 = 5*s - 147*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*h + 1512 = 221*h. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4*h + 2 + 23 + 7*h.\nAnswer: 3*h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**4 + 140*i**3 + 395*i**2 + 210*i - 360 = 0. Calculate i.\nAnswer: -4, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*z + 6686 + 1058 = 1210 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*j = -147, 5*d + 600*j = 597*j - 177 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7974019.\nAnswer: 251, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535995*y**4 + y**2 - 2*y - 230853?\nAnswer: -12863880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-41)\/2*(7 + -5). Calculate the common denominator of x\/(-1)*3\/24 and (-1 - (-30)\/(-33)) + (1 - 3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 3 - 3 - p**2 + 11*p**2 + 48*p**2 + (0*p**2 + 2*p**2 - 4*p**2)*(2 + 3 - 3) + 4*p + 11*p - 84*p**2 + 83*p**2 as j*p**2 + t*p + h and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -42. Let w = r + -23. What are the prime factors of (16 - -3) + w + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 333*w**2 + 12960*w.\nAnswer: w*(w + 45)*(w + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60483*h**3*y**2 - 7*h**3*y - h**3 - 2*h**2*y + 1026*y wrt y.\nAnswer: -120966*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6407 + -0.0593. What is the nearest to 3\/2 in a, 9, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-44) + (-918)\/1944)*-108?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = -2*y + 99, -4*p + 63 = y. Calculate the greatest common divisor of 68 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(1\/10)\/j)\/j)**(18\/5) assuming j is positive.\nAnswer: j**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 3*h + 10, 0 = -2*p - 5*h + 4. Find the first derivative of -2 + 5*m**3 + 11 - p - 1 wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 34. Let c = 18 + d. Let o = c + 18. Solve 4*m - 4*z = o, 1 - 13 = -4*m - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/(-3)*(-3476)\/632.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 9*f + 10. Let c be h(10). Suppose -5*v + 61 + 4 = c. What is the remainder when 49 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-3)\/268). Let q = v + -45. Let b = 1.98 - -0.02. What is the nearest to q in -1, b, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 + -5?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/34539 and -1\/319.\nAnswer: 379929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14688 by 1.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 152*a**2\/3 - 566*a\/3 - 240.\nAnswer: -2*(a - 72)*(a - 5)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32082 divided by -15.\nAnswer: -10694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*2 - 462\/36 and -57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 20. Solve -r*z = -4*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1815.7 and 52?\nAnswer: -94416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*n = 14, 4*l + n - 5*n = 28. Let x = -13 + 24. Calculate the lowest common multiple of l and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let r(c) = 0 - 19*c**3 - 1 + 2*c**2 + 6*c**3. Let h be r(w). What is the highest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 3.8. Suppose 2*k - 10 = k. Let t be 24\/(-35) - (-4)\/k. Put t, -1, c in descending order.\nAnswer: t, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-224)\/12))\/((20\/2)\/(154\/22))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.2, 33\/4, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8836 rounded to 1 dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c - 1. Let a(n) = 2*n**3 + 2*n**2 + 7*n + 1. Let w(q) = -3*q**3 - 3*q**2 - 10*q - 2. Let u(t) = -7*a(t) - 5*w(t). Calculate -d(l) - u(l).\nAnswer: -l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnssszg. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5)**(-6\/31))**39*(n\/(n**0\/n))**15*n*n\/n**(3\/5)*n*n\/(n*(n**(-1\/4)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-2537\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 47 = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/4) + 2. Suppose 0 = x - 13 + 15 - 6. Solve u*k = 5*q + 26, x*k = -q + 5*q + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**12\/(w\/(w\/(w\/w**12*w)))*(w\/(w\/w**8*w))\/((w*w**(-10))\/w))**(-6\/7))**(7\/4) assuming w is positive.\nAnswer: w**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82517092556 and -0.1868.\nAnswer: 82517092555.8132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*i + 261*i = 3252. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 3*p + 3*p + 5 - 3*p in the form j*p + c and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30128126*s**4 - 3769694 with respect to s.\nAnswer: 120512504*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4408 - -9045. Is 49 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141226701 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: What is 236 minutes after 5:36 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxrr when four letters picked without replacement from rrxrrxrrr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let r = -1\/2 + p. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641281269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c + 2*x = 32*c + 7, 4*c - 3*x - 1 = 0. Calculate the least common multiple of 971 and c.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9473000 to the nearest 100000.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 2*f - 2. Let j be t(3). Let z be -2*2*(-21)\/j. Suppose 2*v - 3*u - 16 = 0, v - z*u - 14 = -0*v. Solve -1 = 3*y + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**4 - d**4 - 2*d**4)*(-149 - 282 + 2399) in the form u*d**2 + l + a*d**3 + o*d**4 + n*d and give o.\nAnswer: -3936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 82520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 5 (c) 0.08 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-15)*23\/((-23)\/30). Let y be (j + -53)\/((6\/(-4))\/(-3)). Solve y*t = 4*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/9666 and 19\/21838?\nAnswer: 589626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 0*a = 27126. Is 47 a factor of 4*(-3)\/16 - a\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/1949999 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*1)\/((23\/230*-30)\/(-12)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 + (12 + -3 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -5 (c) 1 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -161516, -161315, -161114, -160913, -160712?\n\"Answer: 201*i - 161717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2073 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 + 8*o + 8. Let n = 9 + -15. What is g(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 75931, 151860, 227789, 303718, 379647, 455576?\n\"Answer: 75929*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h + 64. Let l be (-10)\/(-36) - h\/72. Suppose -1\/2*s - 1\/3*s**2 + 1\/3*s**3 + l*s**4 + 1\/6*s**5 - 1\/6 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i**(-2)*i)\/i*i)\/(i**(-2\/19)\/i))\/((i**4\/i*i)\/(i*i**(1\/13))))**(-4\/13) assuming i is positive.\nAnswer: i**(808\/3211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/12 - u**3\/2 - 6*u**2. Determine b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 - c + 5. Let u be i(5). Suppose s = -u*s + 17. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u. Suppose -3*d = -5*x + 974, -4*d - 188 = -x - u*d. Suppose 2*q = 6*q - x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-16)*y*y**(2\/3))\/(y\/y**8)**10)**(-24\/11) assuming y is positive.\nAnswer: y**(-1360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*y + 21, -5*m + 0*y + 5*y + 25 = 0. Suppose -5*q + 4*f = 10, m*f = 4*q - 1 + 8. Is 3 - 4 - q - -146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 11 - 2)*(2*i - 3*i + 4*i) + 39*i + 7 + 50*i - 67*i)*(0 - 1 + 3).\nAnswer: -16*i + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 110.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/520 - 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, 0.4, -3, 1.5.\nAnswer: -246, -3, 0.4, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 9 - (-2812)\/4 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8017.089975 + -8017. Let r = 0.09 - g. What is r rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let h(l) = -10*l**2 + 1418*l + 54. Let m(u) = -15*u**2 + 2126*u + 86. Let a(r) = -8*h(r) + 5*m(r). What is a(i(s))?\nAnswer: 5*s**2 + 714*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 23*a + 4. Let j(x) = -23*x - 3. Let v(q) = -5*j(q) - 4*k(q). Let o be v(7). Suppose 115 = 5*c - o. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 8. Let s be m(6). Suppose -4*c = -s - 6. Suppose 3*d + 143 = 4*t + 108, -t = 4*d + 15. Solve -c*y = -7*y + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/8, -2\/11, -0.2, -2\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3700 - 3704. Suppose 0 = 2*c - 8 + 2. Let h(u) = 3*u - c*u - 2*u + 11. Let w(x) = -x + 6. What is m*h(k) + 7*w(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -119*x + 7. Determine w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + p)*(29*p**4 + p**4 - 151*p**4).\nAnswer: -121*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Let x be (4\/a)\/(4\/(-30)). Does 17 divide (-5)\/(x\/64) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-9) - 0) + 42\/270. Let q = -20.4 - -20. What is the fourth biggest value in q, s, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660798983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10 = 6*d. Let t(g) = 10*g**2 - 8*g + 1. Is t(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q**4\/7 - 249*q**3\/7 + 419*q**2\/7 + 2081*q\/7 + 638\/7 = 0. Calculate q.\nAnswer: -29, -2, -1\/3, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 814396.1 millilitres?\nAnswer: 814.3961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:39 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-16305)\/2331)\/((-306)\/(-27) + -12)\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.272 - 6.34. What is p rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -27*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39481675*-0.5.\nAnswer: 19740837.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -24. Suppose -4*b + 3*g + 6 = -9, 2*g + t = 0. Solve 0 = -b*l - 2*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51252*u + 608 = -51176*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 - 7 = -4*v, 20 = 5*u + 3*v. Suppose u*d + 5*m - 4 = -33, -3*m = d + 9. Suppose -5*k + 4*i - 9 = 8, k - 6*i - 33 = 0. Is k at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttetrgrrnnrrnnn. Give prob of picking 1 e and 1 n.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/19 + 1277286*y\/19 + 3831876\/19 = 0.\nAnswer: -3, 638646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 11*s + 31. Let d be x(-7). Suppose -d*p - p = 5*l - 65, 5*l + 55 = 2*p. Suppose -p*j = -14*j - 4458. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l + 1. Let x(q) = -3*q**3 + 12*q**2 + 12*q - 12. Let f = 160 + -148. Give f*o(p) + x(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*((r*r**2)\/r)\/r*r)\/r)\/r*r)**(-1\/7)*r**13\/(r*r**(-14)))**(25\/4) assuming r is positive.\nAnswer: r**(1125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 155937879 a multiple of 669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*k - 2430377 = -2*j, 0 = -2*j - 3*k + 1620253. Let u = j - -119875. Round u to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 64 = -4*h. Let m be ((-1)\/(-2))\/((-1)\/2). Is 7 a factor of (m + 0)\/(2\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1012?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.263 in 0.6, -0.2, 2\/107, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.2. Let v = 1.07 - 0.07. What is the nearest to v in u, -2, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 + 3 = 0. Let i be (-6 + a)\/(-2) - -6. What is the greatest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145037778*t**3 + 11747*t**2 + 5171*t?\nAnswer: -870226668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/18 - (-2)\/3. Suppose 4*h + 30 = 5*s, -3*s + 5*h = c*h - 15. Solve -s = 3*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4 and 59\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.029584 to two dps.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -r - 35 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/52 - 30\/8. Put 3\/2, -0.3, c in decreasing order.\nAnswer: 3\/2, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32022848 and 128.\nAnswer: 64045696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2. Let u(v) be the second derivative of -2*v**4 - 80*v - 2. Calculate s(u(x)).\nAnswer: 5760*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2 - 2)*(2*h**2 - h**2 + h**2) - 37*h**5 + 2743*h**3 - 2743*h**3 - 3*h**5 + 2*h**5 - 2*h**5.\nAnswer: -44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -745281.5 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 49 = 2*j - 14*j. Calculate the greatest common factor of 24787 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (50 - 35 - (3 - -5))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 0. Suppose y*l + 39 = 9*l. Let i(a) be the second derivative of a**3\/3 - 3*a**2\/2 - 2*a. Determine i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20\/9 - 71\/36. Let x = -0.08 - -0.38. Which is the nearest to 1? (a) x (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48385 - 8021 - 40915 = 1918*r - 5257 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 189187535 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -8. Let s = 4 - 2. Calculate the smallest common multiple of b and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-50)*((-16)\/15)\/8.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1. Let p(c) = -8*c + 10. Let v(b) = -7*b + 8. Let l(f) = 3*p(f) - 4*v(f). Let o(j) = l(j) + 2*w(j). Let n(u) = -17*u. Give n(o(s)).\nAnswer: -68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3497*j = 14875 + 9604 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*c = -19668 + 24156 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 45*u + 1. Suppose -z - 3*j = -2*z + 16, z - 20 = 4*j. Let l be s(z). Suppose 145 = 2*n - l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -2*x - 182, -g + 382 = -4*x. Let n be (x\/(-20))\/((-1)\/(-5)). What is the tens digit of n - (1 + 1) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*z - 76*z - 74*z)*(0 + 1 + 0) - 2*z + 0*z + 4*z + (-2*z + 3 - 3)*(0 + 2 - 4) + 0*z - z + 0*z - z + 1 - 1 - 3*z + 4*z + 2*z.\nAnswer: -234*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*x + 28715 + 23969, x = -4*o + 52678. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**3 + 13*o**2 - 15*o. Let p(k) = 5*k**3 - 6*k**2 + 7*k. Let l(n) = -13*p(n) - 6*q(n). Let i(f) = 2*f - 1. Let z be i(0). Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/112*1 + (-4)\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*q**3 - 582*q**3 + 1133*q**3 - 2.\nAnswer: -22*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -559.49 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4004101189?\nAnswer: 11, 83, 89, 49277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 241410512 (base 6) to base 5\nAnswer: 2131330340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 10216630, -3.\nAnswer: -3, 8, 10216630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 + 5*p - 15. Let f be b(-7). Calculate the common denominator of 14\/33 and f + 35\/45 + 452\/(-126).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12 = -r + 3, f = r - 17. What is the smallest common multiple of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 - 1) + -20 + 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 1638*z**2 + 229032*z - 889728.\nAnswer: -3*(z - 112)*(z - 4)*(z + 662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -20*c**2 - 4*c + 5. Let z(n) = -2*n - 9265 + n + 18529 - 9263. Give -t(d) + 5*z(d).\nAnswer: 20*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 2. Suppose 2 = 3*k - d. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = -0*q. What is the highest common divisor of q and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 180, 1875, 6742, 16431, 32592, 56875, 90930, 136407?\n\"Answer: 275*k**3 - 64*k**2 - 38*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(425) + -1)*5 - (3 + sqrt(425)*2))**2 + ((sqrt(425) + -1 + 1 - sqrt(425) - sqrt(425)) + -3)**2).\nAnswer: -12969 + 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 8 - (498 - 533 - (1 + -21)) - -42?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (5 - 2) - (-32 + -1 + 31).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24, 0, 214.2, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/1735 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64718 - 64687.701. Round t to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Suppose -z*q = 4*r - 152, -r + 220 = 3*q - 3*r. What is the remainder when q is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 4\/(-3). Let q(s) = -s**3 + s**2 - 2*s. Let j(m) = -2*m**3 + m**2 - 3*m. Let y(n) = g*j(n) - 3*q(n). Factor y(v).\nAnswer: -v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1344 + -1459. Which is the third smallest value? (a) -0.2 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 0 = -5*q - t + 39, 2*q - m*q = 5*t - 3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-3))\/(2\/278). Let t = -81 + n. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 11 = 5*j - 2, 4*j = -5*c - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -21 - 16) + (-2 - (2 - 11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by 126\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d36d9 - -56?\nAnswer: 1d3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 841*d**3 + 30*d**2 - 54*d + 966. Let u(c) = 421*c**3 + 16*c**2 - 29*c + 484. Let f(x) = 7*m(x) - 13*u(x). Find the first derivative of f(y) wrt y.\nAnswer: 1242*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -207. Calculate the greatest common divisor of 60 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzz when four letters picked without replacement from {e: 2, z: 4, f: 2, h: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*93*(-2)\/3. Let l = g + 623\/10. Put l, 0.1, 1 in increasing order.\nAnswer: 0.1, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 225*j**3 - 13813*j**2 - 128079*j - 114490 = 0.\nAnswer: -107, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 648\/729*((-3)\/4)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/420 and -73\/78.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241 - -259. Let y(w) = -2*w**2 + 37*w - 19. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 - 35*q - 91. Let k be l(-8). Which is the closest to k? (a) 2 (b) 6 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3 - 4 + 5*x + 7*x. Let w be p(-3). What is the tens digit of w\/(-2) - (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 20*r = -5*b - 20, -2*b - 3*r = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 + 1122?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-542*v**3 - 1092 + 1092)*(2*v + v + 10*v).\nAnswer: -7046*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*g**5*x**2 + 33529*g**4*x**2 + 335*g**2*x**2 - 2*g*x**2 + 2*g - x**2 + 6143 wrt g.\nAnswer: 8820*g**2*x**2 + 804696*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48319, 193351, 435105, 773593, 1208827, 1740819, 2369581, 3095125?\nAnswer: 3917463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 5647441?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43392, 5, 4, -2, -1 in increasing order.\nAnswer: -43392, -2, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*l - 1014*l - 66 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(5*a - 6*a**2 - a - 2*a).\nAnswer: 6*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-10 + -714 + 705.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2666, -2154, -1304, -116, 1410, 3274?\n\"Answer: 169*w**2 + 5*w - 2840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*3*1\/(-9))\/(43\/(45279\/13))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 1. Let v(f) = 4*f - 3. Let r(d) = 3*n(d) - v(d). Let u be r(-2). What is the third derivative of 7*w**2 + u*w**5 - 6*w**2 - 4*w**5 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698046838 a multiple of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -9*5\/60. Let d = 13 - 19. Which is the second smallest value? (a) 0 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/(-21)*3\/2. Let a be ((-8)\/6)\/(c\/75). What is the units digit of -3 + 3 + -2 + a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:41 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = 2*w, -97*w = -92*w + 30. Let d be (6\/4)\/(2\/4). Suppose 2*g = -d*g + 10. Solve q = 4*t + 3*x - x - 6, -15 = g*t - 5*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 595 + -566.3. What is w rounded to 0 dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 8930160?\nAnswer: 17860320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeey when four letters picked without replacement from {z: 1, e: 5, y: 1, a: 4}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11070 and 188805?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14503.\nAnswer: 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = 3*h + f - 1839, -4*h - 4*f = -2000. Let m be 3*-10*(-3)\/2. Calculate the greatest common factor of h and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -178\/9*r + 52\/9 - 14\/9*r**2.\nAnswer: -2*(r + 13)*(7*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/276279 or 1?\nAnswer: -53\/276279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*z - 22 = 8, a = -5*z + 30. Solve a*d - 3*o = o - 11, 3*d + 17 = 5*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -104 (b) 0.4 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjgb when four letters picked without replacement from jbrabtjgrrtrrjrarrrj?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-1 + sqrt(1872) + sqrt(13) + 1 + 1 + sqrt(13).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 9*j**4\/4 - 13*j**3\/3 + 5*j**2\/2 + 2*j - 27. Let o be a(13). What is o rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -1048.741 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 719 + -1199. What is c rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -0.19, 2\/5, 3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/120 + m**5\/30 - m**4\/4 - m**3\/2 + 2*m**2. Give x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 2\/5 (d) -0.16 (e) -5 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9936 + 9940. Solve -4*w - b = 8, -d*w + 6 = 5*b - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 3. Let r(a) = -a**3 - a**2 + 3*a. Is r(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -22003310113?\nAnswer: -22003310033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 937 + -342. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + 5*(sqrt(720) + -1) - (4 + sqrt(720)*-2 - 2*sqrt(720)*2)) + 1)**2 + 5.\nAnswer: -1056*sqrt(5) + 87144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*z - 9*z - 2*z)*(-43*z + 32*z - 42*z) - 3*z**2 - 3*z**2 + 4*z**2 to the form m + j*z + k*z**2 and give k.\nAnswer: 1217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2988536*t**3 + 3*t + 0*t.\nAnswer: 2988536*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 161787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -28bd94?\nAnswer: 28bd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/4 + b**3 + b**2\/2 - 3*b + 2. Suppose -4*k + 2*l = 8, -3*k + 4*k = -4*l - 11. What is s(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 315\/28)*0 + (-6)\/(-11)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/145, -1\/4, 0.4 in decreasing order.\nAnswer: 0.4, -2\/145, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 82, -5, -11, -33, -4 in ascending order.\nAnswer: -33, -11, -5, -4, 1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -2\/19, -0.2, 6761, -6, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m - 1\/15*m**3 + 0 + 2\/5*m**2 - 1\/30*m**4. Factor b(s).\nAnswer: -2*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 105?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 30. Let x(s) = s - 10. Let w(q) = -4*j(q) - 11*x(q). Let b be w(12). Factor -2*n - b*n**2 + 4*n + 0*n.\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501505 (base 13) to base 4.\nAnswer: 13011332320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(-3)\/(-6))\/(4\/(-96)). Let b be 675\/(-81)*i\/(-10). What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 143. Let r(c) = -15*c - 6. Let m(n) = -42*n - 17. Let p(h) = -6*m(h) + 17*r(h). Give p(l(q)).\nAnswer: -3*q + 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13380 and 138126200.\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -0.8, -8, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 8424*m**5\/5 - 263238*m**4\/5 - 1120767*m**3\/5 + 489102*m**2\/5 + 885219*m\/5 + 252 = 0.\nAnswer: -4, -3\/4, -1\/702, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2*q + 156*q**2 + 6*q + 0.\nAnswer: 156*q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.8 and 2373.\nAnswer: 2410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17240 + 32518. Let g = f + -76633\/5. Which is smaller: g or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1 + f**2 + 3*f**2 + 3. Let z(o) = -1 - 265*o**2 + 256*o**2 - 5 + 2 - o. Give -5*d(a) - 2*z(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, l: 1, z: 2, r: 2}. What is prob of sequence ar?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00249352 rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51854*l**3 + 2*l**2 + l + 35927 wrt l.\nAnswer: -311124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-4))\/1*(3 + -1). Suppose 11*l + w + 15 = 0. Let k(c) = -6*c - 2. What is k(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990\/(-796) + (-70)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226317 is divided by 1000.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 + 3*a + 37. Let i be k(7). Find the common denominator of 79\/46 and (-150)\/(-1000)*i\/12.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33021 - 1?\nAnswer: -33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10370 is divided by 314.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18364250.\nAnswer: 2, 5, 17, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77521489?\nAnswer: 967, 80167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*-3*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + (-171 - -80) - 2*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y**2 - 12*y - 4. Let m(k) = 14*k**2 + 18*k + 6. Determine -5*m(x) - 8*q(x).\nAnswer: 2*x**2 + 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 49*p = -88. Let l(m) = -2*m + 2. Let w(r) = r - 3. Let u(a) = 6*l(a) + 5*w(a). Let h(x) = 11*x + 5. Determine p*u(q) + 5*h(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41080861 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 10*o**2 + o - 22. Calculate the remainder when w(7) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/741 and -41\/312.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1008 - 1007.5. Suppose 1 = a + 4*k - 4, 0 = 2*a + 3*k. What is the second biggest value in a, -0.02, g?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 + -100. Calculate the least common multiple of 840 and q.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 220b196?\nAnswer: -220b18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 9. Let y(c) = 2*c**2 + 24*c + 16. Let f be y(-11). What is the third biggest value in 3, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 1464895075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:54 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 774 - 349 + 699.\nAnswer: 6*a + 1124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((-2100)\/(-2037)) - 19.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 24758.7ng?\nAnswer: 0.0000000247587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2716412927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 56. Solve 0 = 2*s - p*f + 7 + 1, -5*s - 4*f = 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 18*a + 277. Determine h(-25).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -13*s. Suppose -3*w + 9*p = 12*p + 6, 5*w + 4*p + 5 = s. Suppose -8 = -w*f + 13. Solve -f = 3*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6636 times -475\nAnswer: -3152100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 + 264. What is the smallest common multiple of b and 40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m = 0. Sort m, 2, 4.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 836 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**2 - 3639*b + 1458.\nAnswer: -3*(b + 243)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 27*i**2 + 18*i - 111. Calculate x(-28).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:34 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:53 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 less than or equal to -1311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/49875 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5152\/126)\/(-92)*15\/(-100)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 5112 = -99190. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(28)\/sqrt(4)*-6 + sqrt(70)\/(sqrt(10) - sqrt(30)\/sqrt(3) - sqrt(10)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14947884 divided by 138.\nAnswer: -108318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3*h**6\/5 + 19*h**5\/5 + h**4\/6 - 6919*h**3\/6 + 3126*h. Find the second derivative of o(t) wrt t.\nAnswer: -216*t**2 + 456*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*4\/(-216))\/((3 + 5)\/(-32))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/3*-6. Let n(r) = -307*r + 599*r - 299*r. What is the tens digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -1539, -2307, -3073, -3837, -4599, -5359?\nAnswer: -6117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237102830, 237102829, 237102828, 237102827, 237102826?\nAnswer: 237102825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) - 6\/15*5. Determine u so that 2\/5*u**4 + j*u - 2\/5*u**2 + 0 + 0*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n. Let f(b) = -3668*b**2. Determine f(p(y)).\nAnswer: -132048*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -310, -1000, -2340, -4546, -7834?\nAnswer: -12420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/9)*h)**(4\/17))**(-33) assuming h is positive.\nAnswer: h**(-176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210088617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 3\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + a. Let m be (-12)\/(-8) + (-1)\/2. Let c be b(m). Factor 0 - 2\/7*q**3 + 0*q - 2\/7*q**c + 4\/7*q**2.\nAnswer: -2*q**2*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489664?\nAnswer: 2, 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 15244 = -109*b. Solve -b = -5*k - 78 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 23*r - 2*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 - 32*z**4 - 112*z**3 + 320*z**2 = 0. What is z?\nAnswer: -4, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -72. Let h be 1\/4 + j\/(-4). Let c = h - -14. Solve 5*d + 10 = -q, 2*q = 5*d + c*q - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-0.03067.\nAnswer: 1.19613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1330*u**2 + 5108*u*x - 6*u - 17819*x + 7288 with respect to u.\nAnswer: -2660*u + 5108*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2212 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*g = -5*b - 201, 0 = -4*g + 20. Let a = b - -64. Suppose 5*k + a = 55. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1450 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1299 + -1296. Which is the biggest value? (a) 2\/11 (b) -0.1 (c) m (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10076, -10256, -10450, -10664, -10904, -11176, -11486?\n\"Answer: -t**3 - t**2 - 170*t - 9904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169 + -170. Which is the second smallest value? (a) -1\/4 (b) 5 (c) 3.4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -43*p**3 - 5*p**2 + 10*p - 6. Let c(w) = -44*w**3 - 4*w**2 + 8*w - 4. What is 4*b(u) - 5*c(u)?\nAnswer: 48*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003396202 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-42)*(-8)\/(-12).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/7 + 6*u**2\/7 - 8\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442585 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -641, -4982, -16753, -39674, -77465, -133846, -212537?\n\"Answer: -620*w**3 + 5*w**2 - 16*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -871 + 1226. Suppose -g + w = -4*z, -621 = -2*g + 3*z + 79. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11622, -46599, -104922, -186585, -291582?\n\"Answer: l**3 - 11679*l**2 + 53*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44292\/1092 + (-4)\/(-26). Let y = t + -41. Sort -3\/4, 0.3, y in ascending order.\nAnswer: -3\/4, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 232 = -2*h. Let j = 45 + h. Let b = 94 + j. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28478987?\nAnswer: 31, 918677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 47039*j - 846689. What is i(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5*v + 2*v)*(0*v + 32*v**2 + 0*v)*(-4 - 8*v + 8 - 2) - 3*v + v + 3*v**4 - 2*v**4.\nAnswer: -1279*v**4 + 320*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -1\/8, 2\/121, -0.5, -1268?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3373 times -8412?\nAnswer: 28373676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 27. Suppose 3*r - 3*a = 189, -5*r - i*a - a = -324. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**5\/4 - 620825*g**4\/4 + 4345595*g**3\/4 - 8070255*g**2\/4 - 465615*g + 2793555 = 0.\nAnswer: -1, 2, 3, 124158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.952 - -0.048. What is the closest to 0 in 1\/5, 8\/3, y, -5\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 3*r**2 + 0*r**2. Let l(d) = 0*d + 5*d - d. What is y(l(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8603 = -43*w - 8302 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/20 - s**2. Let y = -49 - -53. Let j(b) = y*b + 5 - 5*b - 5. What is a(j(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2975, 5954, 8935, 11918, 14903?\n\"Answer: d**2 + 2976*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/5, 0.34, -5 in ascending order.\nAnswer: -5, -2\/5, -2\/9, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2 + 2, 5*b = -s + 373. Let t be ((-2)\/6)\/((-5)\/b). What is the highest common factor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 25 = y + 2*o, 0 = 3*o + 15. Let p = -1.06 - -0.06. Let w(i) = -i**2 - 2*i + 5. Let r be w(-4). Which is the nearest to y? (a) r (b) p (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5242598 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - g - 23941 = 0, 0 = -a + 2*g + 4714 + 3273. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. What is the closest to -1.5 in d, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = 6, 0 = 3*o - 4*z + 58. Let k = -10 - o. Calculate the remainder when 6 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 107\/20, 3, -5, -0.01 in decreasing order.\nAnswer: 107\/20, 3, -0.01, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 15. Let s be (1\/(-1))\/(5\/40). Let b be o(s). Let g(c) = 2 + 2*c + b - 3. Let u(h) = 19*h. Determine g(u(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93436 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*0.042.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 251316 divided by 27924\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -17 - (24 - (27 + 2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0451435 * 4.\nAnswer: -0.180574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m - 15 = 0. Let p(u) be the second derivative of -u**5\/20 - u**4\/2 - 5*u**3\/6 + 3*u**2 - 3*u. Does 4 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 * -0.13\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ggggrguugguggggg?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -409, -790, -1173, -1558, -1945, -2334, -2725?\n\"Answer: -k**2 - 378*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -4 (c) -0.316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.769 or 2\/5?\nAnswer: -13.769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a + 40. Let s be x(4). Is 2\/923 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269, 2404, 4293, 6936, 10333, 14484, 19389?\nAnswer: 25048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -23. What are the prime factors of (0 + -3)\/(6\/u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 10*u**2 - 11*u - 8. Let x be h(-9). Let k be (0 - 1)\/(x\/(-600)). Solve k*m**3 - 39 + 80*m**3 + 23 + 156*m**2 = 0 for m.\nAnswer: -1, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 22*u + 104. Let k be u\/((-1)\/(-297500)*2). What is k rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y + 89. Determine b(17).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 6)*(5 - 1). Let l be (-9)\/2*x\/(-4). Let b = l + 17. What is the remainder when 23 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 32 - -27 - -7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**5 - 5*n**3 - 13*n**2 - 5*n. Let t(b) = -7*b**5 + 6*b**3 + 14*b**2 + 6*b. Let k(a) = 6*q(a) + 5*t(a). Find the third derivative of k(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 - -718. Calculate the remainder when 231 is divided by i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.1, -1\/2, 1, 3, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*m**3 - 22*m**3 + 3 - 27*m**3 - 19 wrt m?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, g: 6}. Give prob of picking 3 v.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26698460 divided by 2.\nAnswer: 13349230","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 375*o - 394. Calculate w(3).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 0*p + 7*p)*(-2*p + 4*p - 7*p) + (0*p + 9*p + 0*p)*(4 + 0 - 5)*(-25*p + 43*p - 38*p) in the form y*p**2 + w + k*p and give y.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25*y**2 + 17*y**2 + y**3 + 9*y**2 + 0 + 8. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3. Let c(g) = g + 6. Give -4*c(r) - 7*i(r).\nAnswer: -4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 645684889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66838763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-585)\/(-12) + (-1)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuuusss. What is prob of picking 1 u and 3 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 9*f + 3*n = 3061, -5*f - 8*n + 15284 = 0. Calculate the greatest common factor of f and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.079 - 0.221. Which is the biggest value? (a) p (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/96575670 and -81\/380?\nAnswer: 193151340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.8005 less than 143?\nAnswer: -275.8005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b + 2*b - 10*b + (26*b + 18*b - 12*b)*(-4 + 1 + 4)*(-1 + 0 + 3)*(1 - 2 - 1) as k + h*b and give h.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4 = -36. Solve -10 = -o*y + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -51, -118, -223, -372, -571, -826?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 7*w**2 + 6. Let l be y(-7). Let b be 2\/(-4) - (-9)\/l. What is the derivative of b - 5*n**3 + 8*n**3 + 1 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23540, 23106, 22676, 22250?\n\"Answer: 2*g**2 - 440*g + 23978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2786670204 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 17 = -5*z + 32*n, -2*n = 2*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*i + 34*i + 354. Let m = i - -149. Calculate the remainder when 59 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/((-4)\/5384))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2\/7, -7, -0.4, 21263?\nAnswer: 21263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -926, -8.\nAnswer: -926, -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:49 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Suppose 0 = -17*q - 24*q - 8*q. Let c(y) be the third derivative of 1\/12*y**4 + q + 0*y - 14*y**2 + 0*y**3. What is h(c(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97.8 + 98. Which is greater: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97841894 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6631 and -0.22?\nAnswer: 6630.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 6*s**2 + s - 2. Suppose -2*b - 2 = -3*b. Suppose o - 10 = -4*o, -b*z + 6 = -2*o. Is 14 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9)*h)\/(h**8\/h*h)*(h*h\/h**(1\/10))\/(h**(-1\/3)\/h) assuming h is positive.\nAnswer: h**(-299\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1210157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*b - 28*b - 22*b in the form x + h*b and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let s be (-5)\/(1*(-4)\/(-4)). Sort s, i, 0.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cczcjzjc. What is prob of picking 1 c and 2 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237 by 82.\nAnswer: 237\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2350506137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*2 + sqrt(88))*-4)\/(2*sqrt(648)) + (-1*(sqrt(110)*-1 - sqrt(110)))\/(sqrt(20)\/sqrt(50)))*1.\nAnswer: 28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 919626.9 nanograms?\nAnswer: 919.6269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474127397 to the nearest integer?\nAnswer: 21774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 2*b**5 - 3*b**5 + (b**4 + b**4 + 0*b**4)*(-4*b - 2*b + 5*b) + (2*b**4 - 3*b**4 + 2*b**4)*(0*b + b + 0*b) + 34*b**5 - 23*b**3 + 23*b**3.\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185576.60018 - -185526.6. Let x = 50 + q. Round x to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u - 24*u - 642 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**4 - 4*w**3 + w**2 + 3. Let g(m) = -205*m**3 + 11023*m**2 - 10816*m - 3. Let n(s) = -b(s) - g(s). Factor n(p).\nAnswer: -p*(p - 104)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 125. Solve i = 6*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -2.97. Let d be (-6)\/(-14)*((-348)\/36 - -9). Let s = 2.7 + -2.7. What is the nearest to s in q, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 4*j + 16 = -32*o, 0 = 2*o + j - 11 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d. Let t be (24\/(-18))\/((-2)\/6). Let u(r) = 2*r. Determine t*u(l) - 3*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12621)\/3005 - 2\/(-10) - -10 - (-74)\/(-5)\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 413909, 415642, 418523, 422546, 427705, 433994, 441407?\n\"Answer: -k**3 + 580*k**2 + 413330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39 - 719*p**6 - 84*p**6 + 0*p**2 - p**2 + 18 wrt p.\nAnswer: -96360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.082 + -0.482. Let k = 2 - -1. Let w = k + -2.6. Which is the nearest to q? (a) 2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57a0150 (base 11) in base 6?\nAnswer: 1001054124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*z + 40 = 32, 5*c - 16 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 2. Let b be p(-6). Suppose -b*j = 58 + 10. Let v(d) = d - 6. Let c(q) = -3*q + 17. Give j*v(n) - 6*c(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19318 (base 11) to base 13\nAnswer: c3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4. Let t be u(3). Let l(j) = 4*j + 9. Let k be l(t). Put -1, 0, k in decreasing order.\nAnswer: 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14820*r**2 - 4946*r**2 - 4949*r**2 - 4931*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 35. Let d = -8 - v. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 35*m + 145. Let i(u) = 2*u. Let n(w) = g(w) + 6*i(w). Let a be n(-3). Solve a*q - 5 = 2*y + 11, 0 = -5*y - 3*q + 25 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849762699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 - 103.2. Let p = -18 + j. Let a = p - -3.2. What is the second biggest value in -2\/7, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8720.05 and -1?\nAnswer: 8719.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3*y - 12. Let b be m(5). Let i(c) = c**3 + 4*c**2 + 3*c. Give i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 1. Let w = 4.7 + x. Suppose 0 = 4*s - 2*h + 18, -s + 6*s + h = -12. Put 0.2, w, s in decreasing order.\nAnswer: w, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 805099409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23.54, 2\/61, -4?\nAnswer: -23.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 674\/18 + (-152)\/342. Suppose -s*t = -328877 - 428624. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 + 8)*(0*g**4 - g**4 - g**4).\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/8)\/((-2)\/(-16)). Let n = j - -66. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 6*x**3 - x - 5 - 55*x**3 + 47*x**3 to the form w + d*x + h*x**2 + v*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 77*w**2 + 36 + 17 in the form k + m*w + y*w**2 and give y.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414967*d**3 - 414947*d**3 - 414962*d**3 + 1244870*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 - 171. Let j = 24 - 14. What is the highest common divisor of r and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.0409.\nAnswer: -0.1227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35200 (base 7) in base 4?\nAnswer: -2030320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/3, -2.7, -8\/9, 8, 1.8, 4\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 214\/8 + (-4)\/(-16). Let g = f + -31. Let j(l) = -2*l**3 - 2*l**2 + l + 3. Is j(g) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4846463\/5 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2135000630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {x: 2, k: 1, d: 2, i: 6, g: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 s when three letters picked without replacement from {s: 3, k: 1, w: 2, v: 5, z: 8, t: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6501185*n**2 + 516524*n?\nAnswer: 13002370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 952, 151, -646, -1439, -2228, -3013, -3794?\n\"Answer: 2*g**2 - 807*g + 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:21 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/430 and -16\/9073.\nAnswer: 90730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzzzcccllzzcz. What is prob of picking 1 l and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 + 16*d - 15. Let p be k(-5). Solve p*o = 3*b - 10, -5*b + 0 = -o - 24 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = o - 363 + 119, 2*o + n = 509. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 208 = 0. Let w be 6\/39 - (-1240)\/o. List the prime factors of 198\/8 + (-18)\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.214, 9, 0.16, 20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c9 + -2?\nAnswer: -2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**10)\/g**3)**9 assuming g is positive.\nAnswer: g**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l - 3. Let m be d(-5). Let g(b) = 2*b**3 - b**2 + 2*b - 1. Calculate g(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*s - 92*s + 520 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310133 + -31022200?\nAnswer: -31332333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (15 - ((-2 - (-6 + -5)) + -5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 11) to base 6.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 1:56 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (-136)\/(-11322)*4833?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-20) - (-604)\/20. Let o = v - 31. Is (81 - o)\/((-6)\/(-33)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50755408 is divided by 4229615.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s - 9. Let g be p(5). Let d = -27 - -23. Is d\/(-18) + (-2354)\/g - -3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**4 - 5\/3*p**3 + 8*p + 0*p**5 + 0*p**2 + 1\/3*p**6 + 0. What is the second derivative of v(x) wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -78 - (25 - (-1 + (-4 - -5 - 4)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, -k = -4*z - 3*k - 2. What is the derivative of 6*f**2 + 31 - 3*f**2 + 5*f**2 + z*f**2 wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5494342*c - 5494465*c - 12054 = 0 for c.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 7*s + 60 - 28 - 37 - 3*s.\nAnswer: -11*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 3*m**2 + 4*m**2 - 3*m**2 + (0*m + 3*m - 2*m)*(0*m - m**2 + 0*m) - 18*m**3 - 51*m + 51*m to h + s*m + p*m**3 + y*m**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 44395 + 2*d + 44401 + d**3 + 133*d**2 - 2*d**3 + 3*d**3 in the form g*d + c*d**3 + y + u*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107615? (a) 3 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/69 and -30\/23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2. Suppose -2*w - 5*w = -7. Let j(n) = n**2. Let d(g) = g**2 - g. Let b be d(-1). Calculate b*j(x) + w*z(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (2 + 1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 427 (b) -0.08 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112979576 divided by -4\nAnswer: 28244894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-3)\/(-6)). What is the common denominator of (-23)\/(-12) - (-3)\/(-4 - -3) and (15 - a)\/(20\/(-17))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3855990 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 93*z = -0*d - 465, 2*d - 83*z - 10 = -85*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:17 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -4826.5092?\nAnswer: 24132.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2216.8 - 2217. Let m be 2\/5 + 14\/(-10). Let t be (-8)\/(-3) + m\/(-3). What is the biggest value in g, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/2))**26*y**(-1\/6)\/((y\/((y\/(y**(3\/4)*y))\/y))\/y) assuming y is positive.\nAnswer: y**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -625, -1040, -1455?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5972768 by 2.\nAnswer: 2986384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/39 - 1544\/104. What is the tens digit of (k\/30)\/(2\/(-184))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4490075, 8980150, 13470225, 17960300, 22450375?\nAnswer: 26940450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47807680 and 640.\nAnswer: 95615360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**7\/f))\/f*f**12\/f*(f*f**(5\/6))\/(f\/(f*f*f**0*f)) assuming f is positive.\nAnswer: f**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1167*z + 257*z + 267*z.\nAnswer: 1691*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4 and ((-5)\/30)\/(224\/10).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/74 and -66\/85.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(128) - -1*sqrt(128)*-5)).\nAnswer: 10 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 442\/(-1896) + 0 + 67\/268. Suppose 2*t - 4*z - 6 = 0, -5*t + 2 = -8*t - 5*z. Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*-3 + 26. Let k = y - 11. Let w = -110 + 124. Calculate the smallest common multiple of k and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -19. Suppose 3*k - r = -h, 2*k - 4 = h + 4. Let g be h + 16\/4 - 2. Solve 3*i - 1 + 4 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:06 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.507 - -0.007. Let j = -15.499618 - q. Round j to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 70595.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/5 + 175332*p**2\/5 + 2560898967*p\/5 - 5125305174 = 0. Calculate p.\nAnswer: -29227, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/(h*h**4))\/(h*h**(-3\/7)\/h*h\/(h\/((h\/((h**2*h)\/h))\/h))) assuming h is positive.\nAnswer: h**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*p**2 - 7*p**2 to the form o*p + z*p**2 + m and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 12:47 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 1 - 2*q**2 + 27*q**3 + 2 + 3427*q**4 - 3428*q**4 as r*q**2 + x + l*q + w*q**4 + g*q**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-28)\/7 - -1). Suppose -j = 2*f - 2*j - 40, f = -3*j + 34. What is the second derivative of -f*l**5 - 13*l + 0*l - 3*l + 0*l**d wrt l?\nAnswer: -440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410025889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2. Let o(y) = -4*y**2. What is i(o(t))?\nAnswer: -224*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.637 + -0.363. Which is the nearest to -2? (a) j (b) -0.4 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 4*g + 290. Let v be j(14). Suppose 2*m + 20 = 41*k - v*k, 0 = -k + 5*m - 2. Factor 40 + k*b + 2\/5*b**2.\nAnswer: 2*(b + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*1\/(-7). Let a(m) be the third derivative of 0 + 0*m - 1\/28*m**4 + p*m**3 + m**2 + 1\/210*m**5. Factor a(i).\nAnswer: 2*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-184)\/18 - 4\/(-18). Let o(g) = 4*g - 59. Let n be o(18). Let i = r + n. Solve -i*l - l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ad2 (base 14) in base 9?\nAnswer: -40732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 2*x - 28, l - 5*x = 0. Let j be l\/110 - 326\/(-22). Let d = j - 11. Solve -q - 2 = -2*v + d*v, -5*q = -4*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131 - 4?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - -2*(-8 - (-54)\/6). Let u(z) = 2*z**2 + 5*z. Let k(a) = -3*a**2 - 4*a. Give i*k(g) + 4*u(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50140 (base 15) in base 5?\nAnswer: -31102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(2) + -3*sqrt(2) + 5).\nAnswer: -15 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93211, -93217, -93225, -93235, -93247, -93261, -93277?\n\"Answer: -k**2 - 3*k - 93207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4 - 2 + m**2 - 2*m)*(-2*m**2 - m**2 + m**2).\nAnswer: -2*m**4 + 16*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7 and 122519203992077.\nAnswer: 122519203992077.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*b**2 - 17*b**4 + 147*b**2 + (-b + 4*b**2 + b)*(0*b**2 + 2*b**2 + 3*b**2) in the form t*b**4 + c + h*b + u*b**3 + l*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 2 (c) 1\/2 (d) -142\/5 (e) -2 (f) -5\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-2 - (-6 + 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033429 to six dps.\nAnswer: -0.000334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249, -5354, -12733, -23824, -39065, -58894?\nAnswer: -83749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76055893*n**4 + n**3 + 67390106*n**2 wrt n.\nAnswer: -1825341432*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -449194648 - -0.2.\nAnswer: -449194647.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7705589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 471 + -274. Let r = y + -83. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 4*y + 5. Let p be f(4). Solve m - u - 2 = u, -p*m = -u + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215744, -215591, -215334, -214973, -214508, -213939, -213266?\nAnswer: -212489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/5)\/((-30)\/75). Let f(h) be the second derivative of 3*h**v - 11*h - h - 3*h**3 - 7*h**2 + 4*h**3. Find the first derivative of f(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3438 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3093378 = -21505*u - 147193 for u.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20) + 1.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2175201*j**6 + 2*j**2 - 2381826*j wrt j?\nAnswer: 261024120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 718853738 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6259 - -6297. Calculate the remainder when 173 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -876 - (4\/4 + 0). Let p = d + 1464. What is the common denominator of p\/(-90) - (-56)\/70 and -79\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = 35*z - 39*z + 29520. Solve 0 = 53*v + 29*v + z for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/42*0)\/(1*(0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4911 times -61?\nAnswer: -456.9571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 21 = -5. Let o be (0\/(-4))\/j - 4200. Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c**3*q*x + 110*c**3*x**3 - c**3*x - c*q*x - 7*q*x**3 wrt x?\nAnswer: 660*c**3*x - 42*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360197073?\nAnswer: 3, 2309, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146231*t + 187036 wrt t.\nAnswer: 146231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -19. Let g(o) = -2*o**3 + 2*o**2 - 1. Let n be g(t). Suppose -z + n*a = -13, 4*z + 4*a - 37 = a. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-120))\/(2\/5). Let w(u) = -934*u**3 + u**2 - 3*u - 3. Is 41 a factor of w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 285764459 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 309*f - 5120. Give s(17).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 3*g + 3*g + 0*g - 2*g + g + (-1 + 6 - 1)*(-2*g - 3 + 3) - 2*g + 1 - 1 + (1 + 1 + 0)*(-5*g + g + 2*g).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1469 or -1024?\nAnswer: -1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8090279.21 from -64.\nAnswer: 8090215.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73224 divided by 36612?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2493803853 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 55*p - 470 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 34*b**3 + 7*b + 3 + 63*b**3 - 30*b**3 - b**2 in the form k + w*b**3 + o*b**2 + s*b and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 - -382.9. Let a = -1 - -0.99. What is the closest to a in -0.3, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5) + -2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-13 - -4 - -2)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (130\/6)\/(((9766\/(-456))\/257)\/(1\/(-5)))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28494*p - 28155*p - 15933 = 0 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 44*u**2 - 444*u + 720 = 0 for u.\nAnswer: 2, 12, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 67*i - 31. Let z be o(-23). Solve 10*y - 15*y + z = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26616 + -5?\nAnswer: -26621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98 - 80*m + m**3 - 88*m - 2*m + 98 + 277*m**2 wrt m.\nAnswer: 6*m + 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/68))\/(11\/((-66)\/6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**4\/24 + 7*s**3\/2 - 22*s**2. Let a be n(-5). Let y = a + -26. Let o(u) = -u + 10. Determine o(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 91*f - 9 + 83*f)*(f**2 - 2*f**2 - 4*f**2) in the form j*f + t + n*f**3 + q*f**2 and give q.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*h + 807 = 4908, 4*h = 5*s - 20568. Is s a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754980 is divided by 1476?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2)*0)\/1. Let g = -6.40258 + 1.40258. Which is the nearest to f? (a) g (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081047033 to the power of 1\/2, to the nearest integer?\nAnswer: 32879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 205670 divided by -1310\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + 88 - 161 + 338*a to the form l + u*a and give u.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18124276?\nAnswer: 2, 23, 197003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56515289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 6 - 93*l - 107*l - 6 in the form q + d*l and give d.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t - 175. Let j be b(-9). Solve -9*f = -8*f, -j*f = 4*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - -82. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - 1719*(-76)\/3762.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 2}. What is prob of sequence gg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/113 (b) -1770 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -82\/5. Let s be 20 - (7 + -3 + -2). Let u be 6\/s*5\/10. What is the closest to -2 in u, -3\/7, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and -7\/53451268?\nAnswer: 53451268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 50018\/4215 - 4\/(-30)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 23*p**2 + 21*p + 7. Let a be g(-22). Solve -75 = 44*v - a*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 + 114.7. Let i = 354 - 357.975. Let c = i + -0.025. What is the biggest value in 5, c, u, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v. Let p be w(-3). Let f(z) = 0*z - z**2 + 8*z - 2 - 3*z. Is f(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 0, -3, -0.2, 0.4 in decreasing order.\nAnswer: 179, 0.4, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 162 = -3*c. Let l(p) = 8*p**2 + 2*p - 1. Let f be l(1). Calculate the greatest common divisor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 122. Let r be (-2)\/(-4) - v*(-5)\/(-30). Which is smaller: -11 or r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 6. Calculate b(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26518 - 26520. Let h(x) = 14*x**2 + 17*x - 7. Give h(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -70*n**3 + n**2 - 2. Let y be h(-1). Let j = -42 + y. Suppose -3*v - 5*m = -j, -5*v = -3*m - 48 + 3. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 146, -3.8.\nAnswer: -3.8, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*m - 2*m - 2 + (-4*m + 2*m + 3*m)*(-1 - 4 + 3) + 6*m + 2*m - 2*m)*(262 - 573 + 240) in the form i + k*m and give i.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m - 15 + m**3 - 8*m**2 + 54*m - 3*m**3 in the form o + w*m**2 + b*m + v*m**3 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 36*g + 21*g - 110*g + 51 - 27 in the form l + h*g and give h.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.5616ml to litres.\nAnswer: 0.8805616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/5 (b) -196 (c) 24 (d) 1\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gro when three letters picked without replacement from ornoooroooojgororo?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/10*s - 1\/10*s**3 + 29\/10*s**2 - 3249\/10.\nAnswer: -(s - 19)**2*(s + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2 + sqrt(500) + sqrt(5) + sqrt(500))**2.\nAnswer: 8405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/11*v**2 - 36\/11 + 2\/11*v**3 - 18\/11*v = 0. What is v?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1790073 and 15197?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 539 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f = -45, -186 = -5*w + 4*f + 42. Let s = -46 + 52. Calculate the highest common divisor of w and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqucqydqyqqjycyy. Give prob of sequence yjc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 17. Let u be p(-4). Solve 5*k = -5*m - 15, 3*m - 2*k - u*k - 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/(h\/(h*h**(1\/4)\/h*h*h)))\/h)\/h)\/h)**21)**(-1\/20))**(20\/11) assuming h is positive.\nAnswer: h**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120387*l**3 - 2*l**2 - 103*l - 38 wrt l?\nAnswer: -722322*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeaq when four letters picked without replacement from {q: 6, e: 3, x: 2, a: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -43 + -2 - 109\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142808456?\nAnswer: 2, 7, 37, 157, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 2*a**4 + 0*a**2 + (-a**2 + 0 + 0)*(0*a + 0*a + a**2) + (-5*a - 3*a**3 + 5*a)*(82*a - 43*a - 27*a).\nAnswer: -35*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 7\/(-1)) + 9 + -1. Solve -b = -4*k + 5*m, -3*m + 3 - 9 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13*a. Let f(d) = -1. Let i(k) = -6*k + 4. Let p(j) = -4*f(j) - i(j). Give q(p(s)).\nAnswer: -78*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s*v**2 - 5*s*z**3 - 15*s*z + v**2*z**3 + 3*z**2 wrt z?\nAnswer: -30*s + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 8*p**2 - 14 - p**3 - 2*p**2 + 0*p**3 + 12. Give u(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + 11*c + 4. Suppose 37*t + 0 + 11 = -63. Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137396 is divided by 477.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3)*n*n*n*n\/n**2*n\/n**(-1\/4)*n**(-4\/5))**(3\/13) assuming n is positive.\nAnswer: n**(387\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 14*u**2\/9 + 2*u\/9 + 14\/9.\nAnswer: -2*(u - 1)*(u + 1)*(u + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.48134 hours in minutes?\nAnswer: 148.8804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493026930 to the power of 1\/3, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i + 5. Let q(s) = -29*s + 9. What is -6*q(l) + 11*u(l)?\nAnswer: 9*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let t(n) = -2*n**2 + 3*n**2 + n**2. Let q(x) = 4*i(x) + 5*t(x). Let a(v) = -7*v**2. What is q(a(s))?\nAnswer: 98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.37 - 3?\nAnswer: -409.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1) - 2)\/(-6)*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - h - 3*h + 6 + 1 to the form q + n*h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 91*x.\nAnswer: -x*(x - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382\/15 - -74\/3. Are -3 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82*-1.1\nAnswer: 90.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6662, -26625, -59888, -106445, -166290, -239417?\n\"Answer: y**3 - 6656*y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -0.044, 741, 4, -1\/2, 3?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -729, -1816, -3849, -7140?\nAnswer: -12001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -2, -86, 2 in increasing order.\nAnswer: -157, -86, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -654*-2.1898\nAnswer: 1432.1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2 - sqrt(204))\/sqrt(12)*2 - ((sqrt(17) + -2)*2 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350 - 126 + q - 778 - 5*q + 2*q + 2*q + (2*q - 4*q + 4*q)*(-3 + 2 + 0).\nAnswer: -2*q - 554","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 13) to base 16.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 63 = -4*i. Let w(x) = -x**2 - 11*x + 7. Let m be w(-5). Let k = i - m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625310 to the power of 1\/2, to the nearest integer?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {f: 2, s: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 78*b**2 - 1523*b - 121. Calculate p(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 7*f + 3 + 7*f. Let a(s) = -s - 1. Calculate 7*a(r) + 3*j(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14875622.6 rounded to the nearest 10000?\nAnswer: 14880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30674?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let c = 0.1 - y. Let o = 2.1 - c. Sort 4, o, -3.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:11 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 5*f - 29, 4*f = -4*u + 28. Let k be (-3 - -6) + -6*f. Let g = k + 68. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174078961.\nAnswer: 11, 79, 1351069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -193*v**3\/2 + 33*v**2\/2 - v + 37. What is the units digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - w = 5, 3*g = -5*w + 14. Let c(q) be the first derivative of q**2\/2 + 2*q - 11. What is the smallest common multiple of c(4) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(304) - (-3 + -2*sqrt(304))) + -3)**2.\nAnswer: -13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 103*w**2 - 12. Let j = -278 + 285. Let x(q) = -308*q**2 + q + 35. Let h(b) = j*d(b) + 2*x(b). Find the second derivative of h(k) wrt k.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534.871 millennia in months?\nAnswer: 18418452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -420627*a**3 - 4*a**2 - 4*a - 8. Let i be k(-2). What is i rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78+0.5551522394\nAnswer: -77.4448477606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 248*h**7\/7 + 58*h**3\/3 - h**2 - 24. Find the third derivative of f(r) wrt r.\nAnswer: 29760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -311 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*b + 5*b - 33, 4 = 3*t + 2*b. Let w be (2 + t*2)*-51000. Round w to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*y - 3 = -b, -3*y - 12 = -4*b. Suppose y = 6*x + 9*x - 20985. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1) + (1 - -106). Suppose -4*k - n = -294. Calculate the remainder when k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5\/4)\/n)\/n)\/((n\/(n\/n**(2\/5))*n)\/n)*(n**(-1\/5)\/n)**32)\/((n\/n**5)\/(n\/(n*n\/(n\/n**(4\/11))))*(n*n**(-1)*n)**(5\/7)) assuming n is positive.\nAnswer: n**(-60257\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -45. Solve 5*t + k*d + 17 = 0, 0 = d - 4 + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l - 1. Let c(p) = 3*p**3 + 2*p. Suppose -5*k = -20*y + 19*y - 10, 2*k + y + 3 = 0. Let b = -437 + 433. What is b*g(d) + k*c(d)?\nAnswer: -d**3 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 57. Determine u(-9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 6. Let f(d) = -22*d - 26. Let q(b) = 6*f(b) - 26*x(b). Let j(u) = -20 - 22 - 14*u + 9*u. What is q(j(p))?\nAnswer: 10*p + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.629470024 and -640.5.\nAnswer: -639.870529976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 17531.7.\nAnswer: 876.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(2\/9)))**(1\/18)*(o*(o*o**(-29)*o)\/o)\/(o*o*o**(4\/17)) assuming o is positive.\nAnswer: o**(-80395\/2754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 4856 in decreasing order.\nAnswer: 4856, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j. What is the closest to j in -5, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t - 5*b + 253 = -3*b, -5*t + 4*b = 5*b + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rodd when four letters picked without replacement from {o: 1, r: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 608\/147 (b) 1\/7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3672 and -751.\nAnswer: 275.7672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -1, 398025 in descending order.\nAnswer: 398025, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-567)*(-2)\/10.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68)*2 + 3*-1*sqrt(68))\/(sqrt(48)\/(sqrt(12) + sqrt(192) + sqrt(12)) - -2*(sqrt(4) - (sqrt(4) - 2*sqrt(4)))).\nAnswer: -78*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.20474ml?\nAnswer: 0.04620474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066419 = 45*n - 2689164. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13329523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21698890*k**3 + 485310372*k wrt k.\nAnswer: -130193340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5*o - 58. Give n(-14).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.514 - 0.014. Let z = -20 + 35. Let i = p - z. Which is the nearest to -2\/5? (a) i (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 181*l - 177*l + 29, -5*l = 5*t + 70. Let x = 11.96 - 16. Let q = x + 0.04. What is the fourth smallest value in t, q, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 5 + -4 - (-359 + 344)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42490 by 800.\nAnswer: 4249\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -0.1, -0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*y**2 - 34 + 34)*(1 + 2*y - 1) + 0*y**3 + 422 + 9*y**3 - y**3 + 3*y**3 - 497 to z*y**2 + t + p*y + c*y**3 and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f - 261. Let m be v(11). Let o be ((-2)\/4)\/((-3)\/186). Suppose c - 12 = 3*z, 3*z - 77 = -4*c + o. Calculate the highest common factor of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7601085 or 7601083?\nAnswer: 7601083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1290 and 142330?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - 2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 170786268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {w: 5, g: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 10 - 2)*(7*t + 0 + 0) - t - t + 0*t + (3 - 3 - 1)*(-4 + 4 + 2*t) - 3*t - t + 2*t to the form r + j*t and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19177 - 3?\nAnswer: -1917a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**8\/b)\/(b\/(b*b\/(b**(-7)*b))))**(-2\/7))**(15\/8))**(-1\/45) assuming b is positive.\nAnswer: b**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32574 and 25254?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 12 = 0. Suppose -5*p + 0*d + 5*d = 230, -2*p = -5*d + 80. Let l be (6\/(-5))\/(20\/p). Solve -w*h + l*h = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9560000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 11*g + 462. Suppose 4*t = 3*h + 457, 2*t + 0*h = 3*h + 221. What is the least common multiple of g and t?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 <= 11394316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2963 and 2846?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, 58, -8, 1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630820086*k + 65*k**2 + 2 - 630820086*k - 2.\nAnswer: 65*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 307 + -802. Let m = s + 494. Let j be 1\/9 - 0\/(-2). What is the third biggest value in j, 5\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.29 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-15) - 2\/(-15). Let q(o) be the first derivative of o**3\/3 - 6*o + 1. Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 7. Let w = -23.89 - h. Let z = 0.19 + w. Which is smaller: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -794, -1962, -3596, -5696?\nAnswer: -8262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267108 and 786.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8074226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 989 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -22*g + 3*g**2 - 2*g**2 + 22*g. Let x(c) = 2*c**2 - 94. Determine x(t(b)).\nAnswer: 2*b**4 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1737*z. Let h(j) = -j + 42. Let t(u) = 2*u - 77. Let s(p) = -11*h(p) - 6*t(p). Give c(s(i)).\nAnswer: 1737*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7.9. Put 0, 4, z, 0.3 in increasing order.\nAnswer: z, 0, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4268, 8514, 12736, 16934, 21108?\nAnswer: 25258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13106, 13465, 14064, 14903, 15982?\n\"Answer: 120*d**2 - d + 12987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*h + 26*h - 37 + 37.\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + ((-39)\/(-6) - (-4)\/8). Let d be ((-2)\/6)\/(w\/(-45)). Solve -3 = d*n - 4*c, 2*n = -2*n + 5*c + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43169*f**4*g - f**4 - f**3*g + 39342*f**2*g - 3*f*g wrt f.\nAnswer: 1036056*f*g - 24*f - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34477, 1, 5, 3, -11, 4, -5 in ascending order.\nAnswer: -11, -5, 1, 3, 4, 5, 34477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/(-4))\/(6\/8)*3. Let h be r\/2*272\/85. Suppose 0 = -4*j - 6*j + h. What is the remainder when 6 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**3 - 6*k**2 - 38*k - 1. Let l(c) = 15*c**3 + 13*c**2 + 77*c + 2. Let q(f) = 6*l(f) + 13*v(f). What is the derivative of q(t) wrt t?\nAnswer: -3*t**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1389809\/14287 + -16\/2041. Let g = -97 - z. What is the nearest to 1 in -4, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 - 236. Suppose -3*k + o*k - 34 = 0. Is 86\/5 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/243)\/((500\/3)\/50)?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89621*g**2*k**2 + 20*g**2*m**2 + g*k*m**2 + 2*g*k - 12*k**2*m + 29*m**2 + 66 wrt g?\nAnswer: -179242*k**2 + 40*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -22*s. Let m(c) = 5*c. Suppose -z - t = -3*t + 14, -5*t = -z - 29. Let a(f) = -126*f. Let w(p) = z*a(p) - 99*m(p). Give w(j(u)).\nAnswer: -198*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1253*s**2 + 8*s + 101. Let n be p(-11). What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*y**4 - 6*y**4 + 3*y**4) + y**4 - 11*y**4 - 18*y**4 - y**4 - 2*y**4 + 0*y**4.\nAnswer: -26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(14\/(-5))*2. List the prime factors of 1854\/14 - -6*h\/70.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(15)\/sqrt(3)*-4)**2 - (sqrt(720)*-1 - sqrt(720) - sqrt(720))).\nAnswer: 36*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.8 - -0.2. Suppose r = -12 + 10. Let x be ((-116)\/87)\/(7\/(-3) - r). What is the third biggest value in s, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 198, 304, 410?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 65912.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 32*n - 4. Let k be w(0). Which is the nearest to -13? (a) 0.3 (b) -1 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204455, 204011, 203271, 202235, 200903, 199275?\nAnswer: 197351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 15. Let y be u(-15). Suppose y = 5*g - 7 - 18. Solve -4*o - g = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - n**2)*(0 - 2 - 4)*(n**2 - n**2 + 2*n**2).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153)*-1 - sqrt(153))*-5)\/(1*sqrt(324) + sqrt(9) - sqrt(9)))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -243\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23*g - 2. Let r be p(2). Suppose 2*a + 2*a = r. Suppose l = -3*d + 38, 9 = -5*l - a. What is the lowest common multiple of d and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5867 + -1.590655. Round w to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3192 + 3672. Calculate the lowest common multiple of q and 228.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.07723\nAnswer: -0.061784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 130. Let k = r + -21. Suppose q + j = 28, -j = k*q + 72 - 208. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132135 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 27*l + 274. Let k be z(-10). Let q = -272 - -472. Suppose -3*d - q = -k*t + d, -2*d = -2. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11232 (base 5) to base 8\nAnswer: -1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12*q**2 + 5*q - 5. Let s be l(5). Which is smaller: 333 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - 4 + 4)*(6 + 0 - 4) + 2*z + z - 2*z - 3 + 2*z + 3)*(14 - 11 - 16).\nAnswer: -65*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - 20 + 13 - a**5 + 3)*(5 - 1 - 2).\nAnswer: -2*a**5 - 2*a**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07508 - -0.0113. Let l = 36.32622 - p. Let d = -36 + l. What is d rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4, 2*t - 6*t + 4*v = 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13996998*k**3 + 66803034*k wrt k?\nAnswer: 83981988*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*t - 0*c, -t - 4*c + 3 = 0. Is -4\/37 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*v + v - 29*v)*(1 - 5 + 2).\nAnswer: 198*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 + 134. Let q(l) = l + 27. What is the remainder when 193 is divided by q(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) + (-62)\/(-4). What are the prime factors of c\/49 - 110\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x + 0*x - 214*x**3 + 194*x**2 - 30*x**3 wrt x?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 960364130 divided by -2\nAnswer: -480182065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 5, s: 2}. Give prob of sequence ms.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from ooooottvtovo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-21) - (-8 - 477\/(-27))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 + 5 = 0. Let t = -0.57936 - -0.71936. Sort 0, w, t in descending order.\nAnswer: w, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150))\/sqrt(10))\/sqrt(3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114512 + -220431?\nAnswer: -335343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -22*a + 25*a. What is the lowest common multiple of a and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.231 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 76328?\nAnswer: 763280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 2*j + 1. Let y be f(-1). Find the second derivative of -3*u + u + 2*u**2 + y*u - 6*u**2 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -1 (b) -1\/7 (c) -3\/5 (d) -1392 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvmlmmlvlvvllllvl. Give prob of picking 1 l and 3 m.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 18*q**2 + 41*q + 10. Calculate y(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = 12*q - 83*q + 493 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 124130001 (base 5) to base 15\nAnswer: c2086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -4) + 27 + -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/38 less than 6390485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 14 = -2*q. Suppose -2*p - 6*o - 8 = 0, -2*p = p - o - 8. What is the third derivative of w**4 - w**4 - 12*w**p + q*w**2 + 3*w**5 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 63 = -10*b. Suppose b = -0*s + 7*s. Solve s*c = -1 + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, g: 2, q: 1, x: 3}. Give prob of picking 1 x, 1 s, and 1 g.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16758553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 2 = 0. Let k = 0.07 - -3.93. Suppose 2*t + 3*t = -5. Sort n, t, k in ascending order.\nAnswer: t, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 971?\nAnswer: -5826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-14)\/6 - -1). Suppose 121*k - 5*g = 124*k - 20, -4*g + 16 = 0. What is the second derivative of -m - m**4 + 6*m**p + k*m**4 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 545*l - 22682 + 882 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30399700 to the nearest 100000.\nAnswer: 30400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -923459 - 147?\nAnswer: -9235a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16*((-1)\/5)\/((-8)\/(-10)). Solve 9 = h - 5*f, -t*h + 3*f + 6 = -2*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1*(-32)\/48. Let y(k) = -3*k - 2*k + 10 - i*k + 3*k. List the prime factors of y(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-2))\/((-5)\/235). Let r = -274 + h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v - 51. Let b(c) = 21*c + 76. Let f(g) = 5*b(g) + 7*l(g). Let m = -449 + 445. What is f(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48998037 by -6501.\nAnswer: 7537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 13*n**2 + 13*n - 9. Let x be g(13). Suppose 3*y + 4*f = x, -2*y = f - 111 + 1. Suppose y = 10*i - 9*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let u(p) = p + 51735. Calculate u(z(t)).\nAnswer: 3*t + 51735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 58. Suppose f = -8*z + 11*z - 102. Find the first derivative of -z - 15*i + 7 + 10 wrt i.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcppcscpppc. Give prob of sequence pcsc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-1*sqrt(12))\/sqrt(6)) + 2 + sqrt(6)\/sqrt(3) + 5 + sqrt(2) + (sqrt(18) + (sqrt(18) - (sqrt(18) + -1*sqrt(18))))\/sqrt(9).\nAnswer: 7 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(168) + sqrt(42))\/(sqrt(600) + (sqrt(600) - -2*sqrt(600)) + sqrt(600) - sqrt(600)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 19*x**2 - 11*x - 4. Let s = 24 + -43. Let l be n(s). Calculate the highest common factor of l and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27563489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30212 (base 10) to base 7\nAnswer: 154040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + u + 3. Let f be a(4). Let g be (-2)\/5 - (-490)\/f. Is (-1 - 1)*4490\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2. Let s be (-47)\/9 - 2\/(-9). Let g(d) = 3*d**2 + d**2 + d**2. Let t(l) = s*g(l) + 4*y(l). Let z(x) = -3*x**2. What is t(z(a))?\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 6*b - 5. Let h be c(5). Let w(d) = -d**3 + d + 2. Let f be w(h). Suppose f*v - 3*v + 9 = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41987?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 11*m - 463770 = 0. Suppose -6*a = -m - 1215. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 4*t. Suppose 3*x - 6 = -t*x + 3*b, 12 = -x + 5*b. Solve -2*u - 13 = -0*u + x*f, 2*f + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 2*w + w**2 + 2*w**2 - 6. Suppose 4*p + 2 - 18 = 0. Does 9 divide d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431196357 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**4 + 3*x**3 + 42*x**2 + 2*x. Let v(z) = z**4 + z**3 + z**2 + 1. Let c(a) = k(a) - 3*v(a). What is the second derivative of c(r) wrt r?\nAnswer: -24*r**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -11*m - 240. Calculate the highest common divisor of 48 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 58*z + 2*z**2 - 3*z**2 - 26*z - 23*z + 103*z.\nAnswer: 3*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1011359, -1011288, -1011169, -1011002?\n\"Answer: 24*v**2 - v - 1011382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202112662 to the power of 1\/2, to the nearest integer?\nAnswer: 14217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 593228192, 593228193, 593228194?\n\"Answer: o + 593228191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + 3*c. Let x be (1\/(-1))\/(c\/(-9)). Let k be 12\/4 + 306\/6. What is the highest common factor of k and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 3 - d**3 - 3 + 9 - 1. Calculate g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-3\/7))*l\/(l**(3\/7)\/l))\/(l*l**1*l)**30*((l\/l**(-2\/5))\/l)**25\/(l**(-4\/3)*l**3\/l) assuming l is positive.\nAnswer: l**(-233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -1\/2*q**4 - 7\/3*q**3 + 18 - q - 7*q**2. Let k(x) = 5*x + 4 + 2*x**2 - 5 - 2 + 8. Determine -14*k(m) - 5*p(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypyvjvpjpgpy. Give prob of picking 1 g and 3 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*175 - (6\/15)\/((-5)\/(-50)). What is the greatest common factor of 114 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 40749640160556.\nAnswer: 40749640160556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 0.4 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 4*c - 1. Suppose 0*x = 2*x + 2. Suppose -26*p + 1428 = -73738. Let s(o) = 2888*o - 5778*o - o**2 + p*o. What is x*q(b) - 4*s(b)?\nAnswer: 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -93*(36 - 1) + -5. Is (-14)\/(-42) - f\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 4 + 4*n**2 - 5*n**2 + 0*n - 3. Let i = 83 - 92. Let b(z) = -3*z**2 + 9*z + 4. Determine i*v(u) + 2*b(u).\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1162*v + 407*v - 1289*v.\nAnswer: -2044*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55020793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.83 - 0.17. Is h <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 1:05 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) -4 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2773831 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b = -7241 + 6163 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(-1)\/(-4 + 0). Solve -7 = -w*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnjjppsjjjjpjjspjps. Give prob of picking 2 p.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/14 and 10\/16*(-582)\/105?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31327\/6 - 5205. Calculate the common denominator of (14\/6)\/(3\/(-15)) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 30, 45, 60, 75?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -2*g - 263 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**2 + 5*k - 21. Let v(z) = 3*z + 0*z**2 - 2*z + 0*z**2 - 2*z**2 - 4. Let b(o) = -2*o - 4. Let j be b(-3). Determine j*c(h) - 11*v(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - x + 4*x + (2*x - 3*x + 8*x)*(-5 + 3 + 1) to the form s + f*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17583 = 3*f - 3*h, -3*f + 11*h + 17579 = 12*h. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 + 6 + -8 - (2 - 24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3822110 - -4?\nAnswer: -3822109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 0.01227971?\nAnswer: 3.01227971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23621 - 23516. What is the highest common factor of 2505 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87959569, -175919138, -263878707, -351838276?\n\"Answer: -87959569*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*m + 1355 = 1275, 1634*f - 3*m + 32680 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-70))\/(819\/2340*(-2)\/(-7))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5\/8 - 501*l**4 + 12057*l**3\/8 + 3999*l**2\/4 - 12045*l\/2 + 4017 = 0.\nAnswer: -1339, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -954*t**2 - 282*t + 7. Let y(s) = 1905*s**2 + 565*s - 15. Let u(w) = 5*v(w) + 3*y(w). Factor u(j).\nAnswer: 5*(3*j + 1)*(63*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19269 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 10 + -12 - (-4 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q + 1\/360*q**6 + 0 + 63*q**2 - 1\/9*q**4 - 1\/90*q**5 + 0*q**3. Suppose k(n) = 0. Calculate n.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-7 - 1)) + (-221 - -185) + 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 35. Suppose d = -r*d + 12. Let g(c) = 6*c + 13. Is 11 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 1914409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 3246660551.\nAnswer: 3246660550.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64609 - 28689. Suppose -29*h + m = 11*h. What are the prime factors of h?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 39, -220, -1 in ascending order.\nAnswer: -220, -1, 3, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o - 15 = 0. Suppose -3*n - 8 = n. Sort 3, n, o in decreasing order.\nAnswer: 3, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 8*i**2 + 2*i**2 + i**3 - 3*i**2 in the form a + r*i**2 + f*i + u*i**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + 3 + 2 + sqrt(363)*-2 + sqrt(363))*-6 + 2).\nAnswer: -170 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 1, g: 2, i: 8, y: 1, a: 1}. What is prob of sequence hy?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103937944*m**2 - 68492040 wrt m?\nAnswer: 207875888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.79 - -0.09. Which is greater: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 327 - 273. What is the smallest common multiple of 6 and (-48)\/(-10) + y\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3020870452 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 6*h + 44. Determine w(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 7}. What is prob of picking 1 y and 1 h?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083983 times -0.1?\nAnswer: -0.0083983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*z - 2 - 890*z + 470*z to the form r*z + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -490, -493, -496, -499?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230240709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 734 - 733.9556. Let n = a + 0.2556. Let w = -1.94 - 0.06. What is the smallest value in n, w, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 21*k - 19*k. Suppose -k*o + 5831 = -6*q, 3521 = 6*o - 3*o + 2*q. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10252 + -10250. What is the highest common divisor of 74 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2705\/4 - 18939\/28. Let l = -6 + 4.1. Let j = l - -1.4. Put j, q, -0.1, 0.08 in decreasing order.\nAnswer: 0.08, -0.1, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2079 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:20 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(-4)\/(-21). Let k = -8 + 7. Which is the closest to k? (a) 0.5 (b) -3\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efqqefftefnqefff. What is prob of picking 1 q, 2 f, and 1 e?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.453714ml in litres?\nAnswer: 0.004453714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007055 to 4 decimal places.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.596 - 1.7.\nAnswer: -20.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -472 divided by -1\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in 0.5, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1940 by -143164.\nAnswer: 485\/35791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-24)*6\/(-3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 617117674 and 978.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 1274*s + 19136. Give k(-15).\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**27\/f*f*f\/f**(-3\/16))\/(f\/((f**(-9\/7)\/f)\/f)*f**(-39)*f) assuming f is positive.\nAnswer: f**(6933\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -563, -846, -1131, -1418, -1707, -1998?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1210, 9596, 32302, 76474, 149258, 257800, 409246?\n\"Answer: 1191*w**3 + 14*w**2 + 7*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 4*v = v - 0*v - 750, 3*v - 89 = -5*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(-1 + 3 + 3)*(-24*s - 347*s - 263*s) in the form r*s + p and give r.\nAnswer: -6340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*u - 39 - 13, 4*b - 5*u = 113. Calculate the least common multiple of 210 and b.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*t - 6, -k - 2 = -5*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-95)\/30)*-2 + 384890\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2398\/(-7848))\/((-3)\/(-36)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27337 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -773213731?\nAnswer: -773213736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275339?\nAnswer: 275339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 + 4*w + 20. Let u be z(7). Let c = 22 + -32. List the prime factors of (u - (-482)\/4)\/(c\/(-20)).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let n be 7 + 0 + (-3)\/1. Let h be (-23)\/(-14) + n\/(-28). Put d, -0.4, h in descending order.\nAnswer: d, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((312480\/882)\/155)\/((-4)\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gia when three letters picked without replacement from yffigka.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + d**4\/12 - 7*d**3\/6 - 20*d**2 + 2. Suppose s + 1 = -4*z - 4, z + 10 = -2*s. Calculate x(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/14 - -107\/126. Put 0, j, 1\/4 in increasing order.\nAnswer: j, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -1, 4, -381, -299 in increasing order.\nAnswer: -381, -299, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-4)*z))\/(z**5\/z)*z**(-5\/3)*z**(2\/13) assuming z is positive.\nAnswer: z**(-371\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74 + 4 - 38*x**2 + 34 wrt x.\nAnswer: -76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:24 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a (base 14) in base 5?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o - 3. Let y be b(-5). Let p = -19 + y. Suppose p + 7 = 5*f. What is the second biggest value in -1\/4, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2658284 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -580912*a. Let s(p) = -5*p**2. What is s(t(k))?\nAnswer: -1687293758720*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*o = -550, 7*m - 5*o = 2*m + 500. Solve m = -3*q + 117 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*z - 6*z - 29, -131 = -3*i - 2*z. Let v = 228 - 1819\/8. Calculate the common denominator of v and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r + 18 - 18 - 27*r)*(-3 + 0 + 2).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 142. Let t(b) be the second derivative of 0*b**g + 0 + 0*b**2 + 1\/84*b**4 + b. Find q, given that t(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91190443, -91190460, -91190487, -91190524, -91190571, -91190628, -91190695?\nAnswer: -91190772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -458 + 455. Calculate the remainder when 1960\/28*h\/(-6) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 1 + 1 - 3*j. Let u(z) = -2*z**2. Give u(h(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/105 + 311\/210. Which is the biggest value? (a) 5 (b) f (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, f: 2, s: 1, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*1*2\/(-4). Let j be 1 + -2 + 0 + d. Let k = 4 - j. Solve c = -k*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-70083)\/8)\/(-3) - 1. Let j = 2923 - g. What is the common denominator of (3*(-13)\/(-2))\/5 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*372136.\nAnswer: 1488544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 40 = -3*n + 2*n, 4*n - 2*m - 158 = 0. Let r(b) = 118*b - 8. What is the remainder when r(1) is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, -4, 0.022?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6194 + 6434. Which is the biggest value? (a) -5 (b) f (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.926752964 to two decimal places.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -977 * 0.5\nAnswer: -488.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 21, 60, 135, 258?\n\"Answer: 2*t**3 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21929583 > 21929582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -469c5c (base 14) to base 7.\nAnswer: -26322045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Let k = -1 - d. What is the biggest value in 5, k, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8954\nAnswer: -1\/8954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 - 3*v**2 - v**3 + 2*v**2 + (v + 2 - 2)*(0*v - v**2 + 0*v) - 3*v + 3*v**3 + 3*v to the form u*v**2 + g*v**3 + a + z*v and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {f: 1, c: 1, t: 1, d: 2, h: 1, g: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22496 + 68905\/3. Let b = -465 + o. Find the common denominator of -7\/11 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -36. Suppose 64 = -2*t + 3*x, -4*t - 135 = 3*x - 43. Let d = t - u. Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**2\/2 + 16*m + 1426. Calculate w(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40289803 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 53*n - 11*n**3 + n**3 - 51*n - 7 - 6*n**2. Let m(c) = -3*c**3 - 2*c**2 + c - 2. Calculate -2*j(v) + 7*m(v).\nAnswer: -v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/(-90) + 6\/9. What is the nearest to 1 in -0.4, -0.07, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -90, 403, 884, 1353, 1810?\nAnswer: 2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + z**3 + 2*z**3)*(0*z**2 + 2*z**2 + z**2) + (2*z**4 + z**3 - z**3)*(z - 5*z - 6*z).\nAnswer: -23*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**(-1\/13)\/r))\/r))\/r**(-15\/8) assuming r is positive.\nAnswer: r**(291\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*l - 0*o, -3*l = -2*o - 5. Suppose -5 = -l*w + 4, -363 = -5*q - w. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d3 - 0?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -54131, 5 in ascending order.\nAnswer: -54131, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9147592\/3*x - 1000\/3*x**3 - 2\/3*x**4 + 9314926\/3 - 55444*x**2 = 0. What is x?\nAnswer: -167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-4)\/8)\/(6\/(-816)))\/((-8)\/(-8)) is divided by 50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3440, -3450, -3424, -3344, -3192?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 30)*(0 + 1 + 2 + (3 - 2 - 5)*(1 + 0 - 2))*(0 - 2 - 1 + (0 - 3 + 1)*(2 + 0 - 4))*(-2*f + f + 3*f).\nAnswer: -490*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40659.\nAnswer: 3, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6738 = 4*m, 5*h - 2646 = -m + 4107. Suppose 0*c = -3*c - h. Round c to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (56\/(-24) + 3)*(-3519)\/138?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 162 = 4*x - 2646, -2811 = -3*m - 5*x. List the prime factors of m.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*(u*u**(2\/3)*u)\/u)\/(u**(1\/3)\/(u*u**4)) assuming u is positive.\nAnswer: u**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1793788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 30. Let g = -32 + z. Is -7 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 14. Let f = 44 - u. Calculate the remainder when 89 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 18. Let v(t) = t**2 + 3*t - 4. Let b be v(c). Solve a + r + 6 = -1, 2*r = -b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372629, -372756, -372967, -373262, -373641?\nAnswer: -374104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(720) + sqrt(720))**2 + 3.\nAnswer: -288*sqrt(5) + 2919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*j**3 - 29*j**2 + 21*j**2 - 36*j**2 - 48*j**2 - 71*j**3 - 68*j**3.\nAnswer: 2*j**3 - 92*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 76, 74, 72, 70, 68?\n\"Answer: -2*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-2)*-1*10. Suppose q - 19 - k = 0. Suppose i = 2*x + 19, 3*i - i - 37 = 3*x. Calculate the remainder when q is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 12082 = 11956 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -539*d**2*f**3 - d**2*f - 2*d - 2*f**2 wrt f.\nAnswer: -3234*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25.386*0.02\nAnswer: 0.50772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 18 = -3*j, -558*q = 3*j - 553*q - 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, 5, 432, 877, 1346?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1)*-7*(-9)\/6. Solve 6 = -3*i + g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46147 is divided by 7688.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(3 + 2)*309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 198*g**2 - 13660*g - 136. What is x(69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/11972 and -77\/2050.\nAnswer: 299300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -102. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/20 + q**3\/2 - q**2 + 37*q. Let c be m(1). Solve -2*p + 4*r - 11 + 3 = c, -3*r = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/4 + z**2 - 14*z. Differentiate s(j) wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10*(-50)\/(-2). Suppose -a - v = -4*t, -3*t + t + 16 = 5*a. Suppose a - 1 = w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(112) - ((1*sqrt(112))**2 + 4)) - -3*(sqrt(112) + sqrt(112) + -3)**2*2.\nAnswer: -284*sqrt(7) + 2623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-85)\/17 + -3 + 17*4 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -357 + 562. Suppose -6*w = -5 - u. Suppose 4*x - w = -x - 5*n, 3*n = 12. Solve 5 = -x*l - 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Let z(k) = -2*k - 7. Let j(s) = 4*c(s) - z(s). Let p be j(12). Let i = -13 - p. Solve t = -i*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 529.5, -3673\/5, -1\/7.\nAnswer: -3673\/5, -1\/7, 529.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 299\/46*128\/(-32448)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12941 or 15838?\nAnswer: 15838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265634 and 634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4 - 12*t + 8 + 3*t**2 + 3*t - 2*t**2. Let m be q(8). What is the greatest common factor of 36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402325 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c. Let q be x(1). Let t be -15*(2 - 32)\/5. Let n = -93 + t. Is q > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)*4 - (1264\/(-4) + 12). Is z >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 5*y**2 - 3*y - 74. Give s(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 2 + sqrt(7) - (sqrt(28) + -2) - ((2*sqrt(847) + sqrt(7) + sqrt(7) - sqrt(7)) + sqrt(700) + -2).\nAnswer: -30*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 + 7*o + 7. Let j be 84 - ((-38)\/(-9) + (-20)\/90). Let w = j - 87. Calculate q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-14\/3))**(2\/99) assuming b is positive.\nAnswer: b**(-56\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t - 20 = -66*t - 3*v, -18*t - 3*v + 356 = 7*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**(1\/5)\/l))))**(1\/14)\/((l\/(l*l**(-5\/6)))\/l**(-4)) assuming l is positive.\nAnswer: l**(-494\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/69 in -65\/6, 34, -2\/17, 11\/32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 9*l + 9. Let j be x(6). Let n = j - -55. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68396 to three dps.\nAnswer: 0.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 61167 - -2*(5 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*x + 75, 8*x - 30 = -2*v + 7*x. Let d(p) = -104*p**3 + 2*p**2 - 4*p - 5. Let o be d(-1). Calculate the highest common divisor of o and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6757285 divided by 4385.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 26706 + 7914 = 41*s. Calculate the remainder when s is divided by 193.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 40 = 5*j, s + 5*j - 7*j - 10 = 0. Let i(w) = 10 + 0 + 2*w - w. Let l be i(s). Is 17 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19844 rounded to three decimal places?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1230, -1231, -1232, -1233, -1234?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -83, -205, -387, -635, -955, -1353, -1835?\n\"Answer: -p**3 - 21*p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 806*h**3 + 74 + 352*h**3 + 42 + 551*h**3 wrt h?\nAnswer: 5127*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812411242 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a + 3. Suppose -19*q - 320 = -1099. Suppose -26*s - 345 = -q*s. What is the remainder when s is divided by p(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(3*f - 2*f - 3*f)*(-2 + f + 2 + 1 - 1 + 2*f + (-5*f + 3*f + 4*f)*(1 + 0 + 3)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 10*h**2 - 8*h + 10. Let v be d(4). Calculate the greatest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 - 167*l - 492. Give f(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19519751?\nAnswer: 19519751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*u + 123*u + 21 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -535143202 (base 6) to base 2\nAnswer: -100100001011101000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 (base 12) in base 15?\nAnswer: -4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -4*k, -3*k + 16 = -k - 5*c. List the prime factors of 135 + (k\/(-3) - -2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720012507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*i + 237*i + 196*i + 47*i)*(24*i + 19*i - 16*i)*(-3 + 3 + 4).\nAnswer: 41040*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 568, 853, 1138, 1423, 1708?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -352, -614, -878, -1144?\n\"Answer: -i**2 - 259*i - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 0 - 24\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 2\/17 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8.416976+-2.8\nAnswer: 5.616976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -381d - 19d?\nAnswer: -39bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 201\/(-268) + (-2294)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368256\/1805 bigger than -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -178, -1, -634?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414575*c**2*f**3 + 54*c*f**2 + 14*c*f - 107*f**3 wrt c?\nAnswer: -829150*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 2:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.99159 years in months?\nAnswer: 935.89908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 270?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1427*d - 64225. Calculate v(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and -79\/3506410.\nAnswer: 14025640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 4. Suppose l - 3*c = -4*c + 100, c = -1. Suppose d - l = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -23961566?\nAnswer: 23961566.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 15. What is the units digit of v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6, x = 56*o - 60*o + 512591. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.104, 2\/7, -5, -0.1, 19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 36 = -6*w. Solve 2*o = -w*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 6*x - 2. What is o(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2105 - 116 = -24*v + 443. What is the highest common factor of v and 7363?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1788*c - 1790*c + 16 = 3*r, 4*c + r - 42 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 494.9978 millimeters?\nAnswer: 494997.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwww. What is prob of picking 2 w and 1 c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 50, 132, 242, 374, 522?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106763 is divided by 193?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-28)*((28\/7)\/(-4))\/(153\/(-3))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 138142 - 88164?\nAnswer: 49978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i**4 + 22*i**3 - 270*i**2 + 434*i - 196 = 0. What is i?\nAnswer: -7, 1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1456 - -1456. Solve 2*t + 5*v + 33 = c, -2*v - 2*v = t + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 9160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 9*j - k*j = 230. Let u = -5 + j. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 10*s = -134, 4*s + 1153 - 1125 = -u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9965244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60415 or 60414?\nAnswer: 60415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 21. Let h = 37.7 + -38. Which is the biggest value? (a) h (b) m (c) 2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16412 + -1546?\nAnswer: 14533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9218 and -402455132.\nAnswer: -402464350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - i + 1. Let t be v(3). Suppose -5*h + 2*n + t = 0, -2*h - 13 = 4*n - 5. Solve h = 2*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 333171100, 666342200, 999513300, 1332684400?\n\"Answer: 333171100*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23897 and -3.\nAnswer: -0.71691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9) + (-3 - -5 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038115 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from eggnngeeegnnne?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-8))\/(3\/(-2)))\/((-185)\/5550)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.21, 4363, -1\/5, 30?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 0 = -2*z, -20 - 16 = -4*w + q*z. Suppose -3*m + 3 = 2*h - w, -h + 13 = 5*m. Solve -4 = -0*f - m*f - d, -3*f = 4*d + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010111101110011 (base 2) in base 6?\nAnswer: 14443443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1269176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-4)*(-6)\/(-4). Let j = 13 + i. Factor -8*u**4 + 231*u**3 + 7*u - 55*u**2 - 41*u**2 + 5*u - 139*u**j.\nAnswer: -3*u*(u - 1)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 - 2357114*g**2 + 330881542*g.\nAnswer: -12*g - 4714228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-7)*((-21)\/6 - -1). Let h be -3 - -5 - -145 - v. What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -162 in increasing order.\nAnswer: -162, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.65 - 235.65. Let b = -232.3 - p. What is the nearest to -2 in 5, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/13, 5, -5.\nAnswer: -5, 47\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 - 6825\/2160. Let v = s - -2\/9. Let u = -2\/181 - -3443\/362. Find the common denominator of u and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + (-42)\/(-15). Let f = g - -25. Suppose 0 = -3*p - 1 + f. Solve -4*h + 5*h - p = 5*n, -2*h + 3*n + 11 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1350 divided by -18\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445243 divided by 11?\nAnswer: -2445243\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/464 and 79\/24?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502*z + 1479*z + 1498*z - 4482*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9842 - 11459.8. Round n to the nearest 10.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37286 and 15928.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40868 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16578 or 271\/10?\nAnswer: -16578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1 + 19*k + 9*k + 12*k - 37*k. Let g(f) be the first derivative of -f**3\/3 + 36. Calculate q(g(t)).\nAnswer: -3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 160, 96, 32, -32?\n\"Answer: -64*y + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 4*c**2 + 3. Let r be u(4). Suppose -2*z - 4*n = -2*n - 10, 4*n - 16 = -r*z. Calculate the highest common divisor of z and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, 13, -25\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 22*w + 201. Determine a(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8250\/17 - -485. Which is the second smallest value? (a) f (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 5*k = -12*f - 54, -4*k = 20. Calculate the remainder when f is divided by 129\/12 - 1*2\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 3, -7, 5, 97 in descending order.\nAnswer: 97, 9, 5, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -848 * -2\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {j: 1, d: 11, q: 1}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 2840 = -2*t. Find the common denominator of -103\/70 and (74\/1184)\/(10\/t).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3\/2 - 3*j - 9\/8*j**4 + 3\/4*j**3 + 39\/8*j**2 = 0.\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -6\/5, 4.1, 2, -328682, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0073 take away 10?\nAnswer: -9.9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2201 and 16259?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849*v = -743*v - 106. Sort v, -155, 2, -5, 7 in decreasing order.\nAnswer: 7, 2, v, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26\/3)\/(8\/24). Suppose 21*k - b*k = -100. Calculate the least common multiple of k and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -401*v + 419*v. Let w be (2\/(-10))\/((-8)\/20). What is the second smallest value in v, -7, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*x**2 + 0*x**3 - 32 + 36 - 4 + 6*x**3.\nAnswer: 6*x**3 + 196*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406 and 2552.\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -116, 0.\nAnswer: -116, -27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754751121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**2 - 14889*v - 112290.\nAnswer: -3*(v + 985)*(5*v + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/16)\/9 + (-3216)\/(-192). Solve 25*k + 158 = -q for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16856, 33712, 50568, 67424, 84280, 101136?\n\"Answer: 16856*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, h: 6}. Give prob of picking 2 u.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*((-1)\/1 - 77). Suppose -2*a = -i + 34. Let j(w) be the first derivative of w**3\/3 + 4*w**2 + 6*w + 2. What is j(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044 (base 5) to base 8.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -91, -99, -109, -121?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1294517*v**5 + 154*v**2 - 2179940*v + 104.\nAnswer: 25890340*v**3 + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 222976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**3 - 7*q**2 + 25*q**3 + 8*q**2 to k + g*q + o*q**3 + p*q**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = n - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*l**2 - 5*l - 9*l - 126*l**2 + 43*l**2 - 324 + 5*l to t + g*l + v*l**2 and give t.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.2 - -25.9. Which is the nearest to 3\/11? (a) 0.4 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 117*z**2 + 240*z - 28344. Give y(117).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 + 2 - (6 + -16 - -2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 17 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.925566 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824784.\nAnswer: 2, 176549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4252 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l + 21. Let h(g) = -3*g - 5. Let o(t) = a(t) + 4*h(t). Let w(u) = 12*u - 2. Calculate -22*o(c) - 2*w(c).\nAnswer: -2*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 4. Determine r(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4915278 and 41\/24.\nAnswer: 19661112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61458*v - 61457*v + 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*v = v + 1, 4*f = 3*v - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171)*-1 - ((sqrt(1216) - (-2 + sqrt(1216) - sqrt(1216))) + 4))*4 + -5 + 1)**2.\nAnswer: 448*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/9 + 230*l**4\/9 - 940*l**3\/9 + 1420*l**2\/9 - 950*l\/9 + 238\/9.\nAnswer: 2*(l - 1)**4*(l + 119)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 642 + -1306. Let o = a - -1988\/3. What is the closest to -1\/3 in 0.1, o, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -485 + 496. Calculate the remainder when 184 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10) - (-23)\/2. Calculate the remainder when 4\/(-22) + 343\/h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((25 - 36) + 12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7413840 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 6*r = 28. Let q = -3\/2 + 2. Suppose 0 - v**2 + v**r + q*v - 2*v**3 + 3\/2*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59302, -63, 5, 4 in descending order.\nAnswer: 5, 4, -63, -59302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 2*q**2 - 2*q. Let v be i(-2). Suppose 2*d = v*d + 6*d. Solve 0*j - 4*j + 4 = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10927*w + 10959*w - 673 + 97 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f**3 + 7*f**2 + 5*f - 52. List the prime factors of v(-6).\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106 - -1) + 631210\/3995?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1216) + sqrt(1216)*-2)**2 - (2*sqrt(76)\/sqrt(4))**2)*-4*6 + -1.\nAnswer: -27358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257920784?\nAnswer: 2, 11, 37, 39607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/245 - -107\/245. What is the biggest value in -3, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/20 - 2*i**3\/3 - 24*i**2 - 59. Let c(l) be the second derivative of r(l). Differentiate c(a) wrt a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u + 72 - 39 - 56. Let n = 18 - 7. Let s(x) = 2*x - 8. Let m(d) = n*s(d) - 4*y(d). Find the first derivative of m(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/3))**49*(t*t**(-6\/5)*t)\/(t\/(t\/(t\/t**12))) assuming t is positive.\nAnswer: t**(667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 76, 111, 130, 127, 96?\n\"Answer: -z**3 + z**2 + 49*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**4 - 4*z**3 + 4*z**2 + 6*z. Let y(o) = -o**4 + o**3 - o**2 - o. Let h(s) = -a(s) - 4*y(s). What is the second derivative of h(r) wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 672?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10721 + -128527\/12. What is the common denominator of -1 - (9\/(-40))\/((-95)\/(55575\/(-108))) and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzz when three letters picked without replacement from zzrzrzzpzzzzzz.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - 2)\/(-1) - -119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43485141?\nAnswer: 3, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108\/7 in 0.3, 0.4, 3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) -3 (c) 1\/35 (d) 3\/2 (e) -1\/24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/56)\/r**29*(r**(-2\/23)\/r)\/(r\/r**(-46)*r) assuming r is positive.\nAnswer: r**(-100553\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182168 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: Calculate prob of picking 2 x, 1 u, and 1 s when four letters picked without replacement from {s: 1, u: 3, x: 12}.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-2380206)\/(-132) - 6) - -5. Let z = 18023 + u. Find the common denominator of z and -101\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.202 and -0.6.\nAnswer: -20.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2488558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.076 + 2168932355144.\nAnswer: 2168932355143.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -322, -667, -980, -1255, -1486, -1667, -1792, -1855?\n\"Answer: p**3 + 10*p**2 - 382*p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*h - 15, h - m - 232 + 229 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by -197*(-2 - (0 + -4 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 4 - (-11 + 27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o + 1102. Let r(s) = 55*s + 2206. Let g(m) = 6*r(m) - 13*t(m). Find the first derivative of g(d) wrt d.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2764 = -12*k + 122296. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4\/5 + 24612*p**3\/5 + 109241284*p**2\/5 + 109216668*p\/5 = 0.\nAnswer: -2987, -1, 0, 9141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnnnno. What is prob of sequence noo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39564560?\nAnswer: 2, 5, 7, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 31604 to the nearest 100.\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 22*v**2\/5 + 41*v\/5 + 4.\nAnswer: (v + 1)**2*(v + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3348 - 2255091646.\nAnswer: -2255091641.6652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -501 - -521. Solve -4*g - 5*j + 28 = 0, -g + 3*j = -5*g + r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 60*i**4 + 44 - 2*i**4 + 0*i**4 + 3*i**4 + (-4*i**2 + 2*i**2 + i**2)*(-3*i - i**2 + 3*i).\nAnswer: 62*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*u - 44300 = 6288*u + 409*u + 44092 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6477 + -6469. Let t(m) = -8*m + 19. Determine t(i).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -300*y**3 - 341*y**2 - 2 wrt y.\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11562611 (base 7) in base 10?\nAnswer: -1040621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*38*(-5207)\/(-35834)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -42\/19, 2, -1, -1.65, -2\/7, 1 in increasing order.\nAnswer: -42\/19, -1.65, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335631631 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93736, 187542, 281348, 375154?\n\"Answer: 93806*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -133, 3, -2.\nAnswer: -133, -23, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 + n - 1. Let p(c) = 199*c**3 + 14*c**2 + 7*c - 7. What is -6*p(l) + 42*v(l)?\nAnswer: -1152*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 7*w**4\/4 + 14*w**3\/3 - 7*w**2 - 41. Let j(y) = y**3 + y**2 - y. Calculate 14*j(s) - v(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -0.3 (c) 0.3 (d) 1390\/13 (e) 13\/7 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -7510171850880 and -0.4.\nAnswer: -7510171850880.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let y(n) = -4459*n + 79. Let p(c) = 4*h(c) + y(c). Let x be p(-13). Round x to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 788 = -4*x, -2*x = -4 - 6. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*j = 97, -44 = -3*x + x - j. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 11. Let o = 54.999933 - t. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5 + 2*u - u**2 + 3*u**2 - 8 - u**2. What are the prime factors of k(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*b - 7 - 5, 12 = 2*w - 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = j - 221 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*z**3 - 202*z**3 - 16*z + 2*z**2 + 2*z**2 - 5*z**2 + 56*z**3.\nAnswer: -683*z**3 - z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 7. What is u(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.00565?\nAnswer: -0.01695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 647569\/6 > 107927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199\/17 or 13?\nAnswer: 199\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.05944378 less than -0.2?\nAnswer: -426.25944378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092008 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1525 and 15.\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*h + 11. Let y(n) = n - 3. Let c be y(h). Let r be ((-24)\/20 - 4\/10) + (-195)\/(-75). Sort 9, c, 5, r in descending order.\nAnswer: 9, 5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54893489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a1 - -56?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1205 - 5?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 13. Let x be p(-9). Solve x*t = -j + 12, 0 = 4*t - 3*j + 2*j - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-6))\/(-5*(-5)\/(-30)). Let f(t) = 4*t**3 + 4*t**2 - 7*t - 6. Let b(c) = 2*c**3 + 2*c**2 - 4*c - 3. What is q*f(r) + 5*b(r)?\nAnswer: -2*r**3 - 2*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -201011303 (base 4) in base 13?\nAnswer: -49901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Suppose -2*l - f = 3, -3*f - 2*f + 11 = -3*l. Let v be o(l). What is the biggest value in 4, v, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let r(j) = -4*j - 4. Suppose -14*w + 19*w = -10. Determine w*r(z) - 6*h(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(175)*2)**2*1.\nAnswer: -2103 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-175))\/((-27)\/18)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 212*g - 1. Let h(f) be the first derivative of f**2\/2 + 8*f + 2. Let b be h(-7). Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((159\/1325)\/(18\/(-15)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q, w + 4*q = 45. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 70*o**2 + 175*o + 110.\nAnswer: 5*(o + 1)*(o + 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -2743896.\nAnswer: 49390128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.095 + 0.005. What is the biggest value in b, 1, 1\/5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j - 2*s - 9, 0 = -4*j + 3*s + 2. Let b(w) = -1 - 2*w**2 - 10*w**3 + 6*w + 3*w**3 - 8*w. What is b(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 140*l. Let c(i) = 23 - 4 - 8 - 11 + 2*i. Determine b(c(t)).\nAnswer: 280*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 2)*(-54*j - 30*j - 54*j).\nAnswer: 828*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3807793312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 9. Let y be h(6). Let m be (20 - (1 + y))\/2. Let a = m - 10. Solve -4*j - u + 5 = -3, -4*u - a = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 76, -1904, 9 in ascending order.\nAnswer: -1904, 9, 47, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -4*t - 5*w, 5*t - 26 = -5*w + 3*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129296205 and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 3, j: 1, c: 6, y: 5, v: 2, k: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(170))\/sqrt(10).\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 300400?\nAnswer: -300404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1133, -1771, -2405, -3035, -3661, -4283, -4901?\n\"Answer: 2*d**2 - 644*d - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68389 is divided by 341.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.6. Which is the nearest to 1? (a) -2 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Suppose -3*h = 5*a - h + 6, 0 = -5*a + p*h + 15. Solve -3*u + 2*u - 2 = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.1, 5, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 - (6 - (-17 - -46 - 8)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6090418 and 23\/2?\nAnswer: 6090418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 6, -690299*w + 690297*w + 4*a + 14 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/(-2) - 3\/(-6). Let v(k) = k + 19. Let a be v(q). Solve -a*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 60096321.\nAnswer: 18028896.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 534343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-15)*90\/81\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 - 2*g - 5. Let u be a(-5). Suppose u*b - 8 = 2. Find the third derivative of -12*i**2 + 4*i**6 + 8*i**b + 0*i**6 wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 - 81*o**2 + 1512*o - 8208 = 0. What is o?\nAnswer: 12, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2))\/q**8)\/((q**10\/q)\/q*q\/((q*q*q**(2\/15)*q)\/q)*q*q*q) assuming q is positive.\nAnswer: q**(-223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14996633 divided by 1?\nAnswer: -14996633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -578*x**7\/105 - 34*x**6\/15 - 4*x**5\/15 - 16*x**2 + 2. Factor y(a).\nAnswer: -4*a**2*(17*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/33 and 76\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*f + 3*c, 4*c - 2*c = -f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 2 - 50*x**2 - 10*x**2 - 5 + 73*x**2.\nAnswer: 10*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/6)\/16)\/(2*5\/9600*8)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222501206?\nAnswer: 2, 127, 509, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -197, -4 in descending order.\nAnswer: 0, -4, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*x - 27, 3*o + 23 = -o - x. Suppose 5*p - 45 = -5*t, t = -t + 5*p - 17. Suppose 3*w - t = -10. Sort w, 5, o.\nAnswer: o, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168239.3 rounded to the nearest one hundred?\nAnswer: 168200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1600 divided by 1\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1053874.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-115))\/(5\/(-525)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -803 - -1607\/2. Factor 1\/6*i**2 + 0 - z*i.\nAnswer: i*(i - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1040810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + a = -0*a - 17, -4*q - 5*a + 27 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14*i + 12*i = 7, 0 = -3*h - 2*i - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-18) - 13\/(-3)*1. Suppose 34 + 34 = h*j. Suppose 0 = 11*w + 173 - 1086. What is the remainder when w is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 15*b**3 - 360*b**2 + 1460*b - 1440.\nAnswer: 5*(b - 8)*(b - 2)**2*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*k**5 + 23 - 11*k**5 - 13*k + 41*k - 21 wrt k?\nAnswer: -1120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6943855?\nAnswer: 5, 43, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 35, 59, 81, 101, 119?\n\"Answer: -r**2 + 29*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 32*w**2 + 97*w + 38. Determine b(26).\nAnswer: -1496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(2\/3)*y)**45*y\/y**(3\/10)*y**0*y)\/((y*y**(-1\/2)\/y)**(-2\/123)*(y\/(y**8\/y))\/y**8) assuming y is positive.\nAnswer: y**(148451\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 83*d**2\/3 + 1606*d\/3 + 2000.\nAnswer: -(d + 6)*(d + 8)*(3*d - 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 22 - 66. Let n = -16 + s. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25916599610 rounded to the nearest 1000000?\nAnswer: -25917000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(10\/(-40))\/(2\/40). Solve 0 = 2*u - 0*x - 3*x + q, 5*x = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(4\/(-16)). Let k = -5 + w. Let i(s) = -23*s**2 - 4 + 22*s**2 + 7 + 2*s. Let p(n) = n**2 - n - 2. What is k*i(u) - 4*p(u)?\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782133719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2402\/3984 - 48\/384. Let r = y + -12\/83. Factor 2\/3*d**3 - 1\/6*d**4 + 0 + r*d - 5\/6*d**2.\nAnswer: -d*(d - 2)*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 597*v + 538*v - 1731*v + 597*v.\nAnswer: v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2329, -3613, -4879, -6127, -7357, -8569, -9763?\n\"Answer: 9*j**2 - 1311*j - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00082227285 rounded to 7 dps?\nAnswer: 0.0008223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2 = -z, -1237*z + 29 = -1233*z + 5*l for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.658359 to 0 dps.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5\/2*p**4 + 21 + 0*p**2 + 0*p**3 - 26*p. What is the first derivative of l(v) wrt v?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/447 and 91\/47868?\nAnswer: 7132332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022*m = -1025*m + 29*l + 55, -4*l - 4 = -6*m + 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 57 + 17. Calculate the least common multiple of (-5 + 4)\/2*r and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58749\/5800 - 3\/725. Find the common denominator of k and 89\/254.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.20007 + 0.2. Round f to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/88*(-12)\/(-15)*(-1500)\/(-8). What is the third smallest value in -3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 490*i**2 - i - 21. Let a be k(-20). Suppose -3*w + 9 = -0. Suppose 2*r - w = -r, -r - a = -c. Round c to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 35 + -12 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*3 - -7. Suppose -4 - 8 = -2*i. Suppose -5*q + 9 = s, b*q - 2*s - 21 = -i*s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 11735717*d + 11735717*d.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12203522 is divided by 26880.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -878*b + 252843. Calculate q(288).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.49 + -0.01. Let n be (-11)\/12 - 6\/(-9). Which is the closest to n? (a) v (b) -0.05 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -4*n, 0 = -0*q - 4*q. Let f = n - 5. Solve -o + 2*k = 5, -2*o - 4 = k - f*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02395327 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 616, 935, 1254, 1573?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 7.1, -448, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 2, x: 1, m: 1, r: 2}. What is prob of sequence runu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*y - 36 + 124, 0 = -3*q - 3*y + 72. Calculate the least common multiple of 1032 and q.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 10400, 35053, 83062, 162215?\nAnswer: 280300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 + 21*q - 5 + 7. Suppose n + 0 - 11 = -4*p, -2*n - p = -8. Is l(n) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604 = 147*q + 2512 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.5 (b) 14 (c) -1\/3 (d) 8 (e) 2 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) 19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 7*o - 8*o - 605, 470 = 4*k + 2*o. Let s = -48 - -48.1. Is s less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37984 and 2208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1239, -393, 451, 1293, 2133, 2971?\n\"Answer: -q**2 + 849*q - 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 4*r**2 + r**3 + r**3 + 3 - 3 + (4*r - 4*r - r)*(-2*r**2 + r - r) + (0*r - 3*r + r)*(-6*r**2 - 2*r**2 + 12*r**2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 360 = -11*l + 50*l - 26*l for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -5145, 2.3, -5, 1\/3, 0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25457837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46958 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -3, 1\/37, -1\/2, -12\/5?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4 + 2. Let r(h) = h**3 + 3*h**2 - 1. Let f be r(p). Are f and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + -736 + 723?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12268, -24532, -36806, -49090, -61384?\nAnswer: -73688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 4*y - 1. Let m be u(-3). Suppose -2*x + 3*x = -2*i + 15, -x + 20 = 3*i. Suppose -2 = -w + i*z, 3*z = -m*w - 0*z + 66. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*p + 3 + 4)*(-5*p + 5*p + p)*(775*p**3 + 1419*p**3 - 2885*p**3).\nAnswer: 1382*p**5 - 4146*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 13. Let h be v(10). Suppose -10 = g - 5*z, -h*g + z + z = -22. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182930107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 251, -4\/5, 2\/7, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 7382624*p - 3406446070336 = 0. Calculate p.\nAnswer: -922828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008745 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 at most 4307\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 166500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l - 160*l - 211*l.\nAnswer: -267*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 3 + (4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2064 divided by -258\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15349215*m**5 - 6769812*m?\nAnswer: 306984300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13913 > -41735\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 446707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-123)\/(-12)*37 + 7\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27145148 to the power of 1\/2, to the nearest integer?\nAnswer: 5210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 32 - 24 = 0. Solve 18 = z*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 250?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 = -5. Let h be (-8)\/((-2)\/p) + 1. Suppose -h + 2*u**2 + 5 - 2*u = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871138095.\nAnswer: 3, 5, 58075873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 10:30 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/3 - 574*n**2\/3 - 1151*n\/3 - 192 = 0. Calculate n.\nAnswer: -1, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:01 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0. Suppose -v = -d, 3*v - 8 = 4*d + 7*v. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -4.139.\nAnswer: -15.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 3186?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(110) + -6*(sqrt(110) + -2*sqrt(110) - sqrt(110)))\/((sqrt(250) + sqrt(250) + (sqrt(250) - 2*sqrt(250)*1))*5).\nAnswer: 24*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 72. Solve -x - 1 = -i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (2 - -1)) + 88 + -53 + (-18 - 2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 21*d**3 - 6*d. Let p(b) = -507*b - 3*b**3 - 507*b + 1015*b. What is -15*p(k) - 2*x(k)?\nAnswer: 3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4456316*b*q**2*u**2 - 8*b*q - 2*q*u**2 - 297*q - 140*u wrt q?\nAnswer: 8912632*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.52 + 0.02. Let w = -5.2 - 0.8. Put c, w, 0.3 in increasing order.\nAnswer: w, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (4 + -3 + sqrt(343)*-3 + -5)**2).\nAnswer: -15535 - 840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:00 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753, 3042, 6855, 12192, 19053, 27438?\nAnswer: 37347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1246 and -4?\nAnswer: 4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23273 is divided by 329.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -3*b**4\/8 - 6*b**2. Suppose -3*c + 4 = -7*c. Give s(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50058, -100386, -150714, -201042?\n\"Answer: -50328*s + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 + 9*c**2 + 42*c - 175. Let g = -16 - -34. What is the tens digit of h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 + 6*a**2 - 6*a - 2. Let y(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/6 + 4*r + 5. Calculate -s(d) + 6*y(d).\nAnswer: d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/3 and 4\/117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 67. Let q(g) = -41*g**2 - 2*g**3 + v*g**2 + 6 + g**3 - 1 - g. What is q(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/96 and 99\/27040?\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 20*g + 75. Let f be i(-16). Let b = -3 + 2. What is the biggest value in f, -3\/4, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1549139715173\/1365 - 1134901033. Let o = x + 44\/455. Is -143 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 2264*g - 984399.\nAnswer: -(g + 587)*(g + 1677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Suppose 6 = -d*a - 2. What are the prime factors of (3 - 74\/2)\/a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 + 147. Is ((-284277)\/42)\/(9\/6 + q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -l*i + 60 = -0. Solve 2*o + 15 = 5*s, -i = -s - 3*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -6\/31, 3\/4, -559\/4, 3\/5 in descending order.\nAnswer: 72, 3\/4, 3\/5, -6\/31, -559\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 0*r + 2*r + 26 = 0, l - 4*r - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 165*d**2 + 831*d - 1000. Calculate j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 676670186 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15951991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*j**3 - 5*j + 167*j**3 + j - 221*j**3 - 229*j**3.\nAnswer: -446*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 10, l: 5, x: 1, d: 1, b: 2}. Give prob of sequence lbxh.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 5329698\nAnswer: 7\/5329698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 543635920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001 - 101100011?\nAnswer: -111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1414 + 1417. Sort -6, 2, 1\/4, p in descending order.\nAnswer: p, 2, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 14*s + 22. Give d(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5598889 to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4167 in 5, -1\/2, 2, 2\/7, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 55 = -65. Factor 0 - 14\/3*r**4 - 2*r**2 - 4\/3*r + h*r**3.\nAnswer: -2*r*(r - 1)**2*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -775 + 756.7. Let z = 58 - 40. Let m = z + p. What is the third smallest value in 2\/7, -3, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 5 + 0*x + 4 + 7*x. Let h be 4\/(-14) - (-111)\/21. What is the smallest common multiple of 11 and s(h)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/600 - q**5\/300 + q**4\/120 + q**3\/30 + 7*q**2. Suppose h(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 25. Suppose 6*m - 9 = -4*f + 5*m, m - v = 0. What is the third derivative of g**6 - 2*g**2 - f + 1 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 2348724.\nAnswer: 7046172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1}. What is prob of sequence nx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 28*k**2 + 27*k. Let a be i(27). Solve 0 = -a*z - z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 321176\/1011855 + 56\/5189. Let o = c - 3\/65. Let g = -2\/39 - o. Which is smaller: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 689.3 - 690.408. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 3*z**2 + 2*z + 10*z**2 + 0*z + 14*z**2 wrt z.\nAnswer: 54*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/5266664 or 1?\nAnswer: 25\/5266664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25870 and 10?\nAnswer: 25870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1695394426 greater than or equal to -1695394426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 at least as big as -6628\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p + 4. Let h be ((-4)\/p)\/((-2)\/(-22)). Let w = 18 + h. Calculate the highest common factor of w and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -360825\nAnswer: -22\/360825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -8. Suppose -6*s + 5 = -s. Sort -3, s, c in increasing order.\nAnswer: c, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/3 + 7150*q**2\/3 + 14306*q\/3 + 7154\/3 = 0. What is q?\nAnswer: -1, 3577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 11*q + 0 - q + 0 + 0 + (1 + 2 - 2)*(3*q - q + 0*q) + 0 + 0 + 2*q + 2*q + 2*q - 5*q - 1 + 1 + q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13033.653 months in decades?\nAnswer: 108.613775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12. What is the second biggest value in -26\/11, -5, d?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let u be 2\/(0\/y + 2). Let f = -40.4 - -40. Which is the closest to u? (a) 2\/25 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6) - -2)*(-30)\/(-4). Suppose -5*a + j - 3 = l*j, 2*a = 3*j + 8. Is 2\/489 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1960 + -1940. Solve -4*w - 4 = 0, 0 = 4*m + 2*w + q - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1667 - -1628) + 1 + 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12 + (-6)\/8. Let a(k) = 2*k**3 + 2*k**2 - 1. Give a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -38. Suppose 2*f = -2*f + i, 5*v + 4*f = 129. Let a(n) = n**3 - 6*n**2 + 4*n + 12. What is the remainder when v is divided by a(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:09 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**5 + 5*p**4\/4 + 10*p**3\/3 + 22. What is v in q(v) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*q = 146, 0*z = -z - 3*q - 53. Let t = 158 + z. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 10) to base 9.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427797901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -6*l + 2*l - 17, 5 = -l - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*2*sqrt(847) + 0 - (((sqrt(847) - (-1 + sqrt(847))) + sqrt(847) + 3)**2 - (sqrt(847) + sqrt(847) + 1 + 0))) + 2.\nAnswer: -3446 - 352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l + 4. Let c = 2 - l. Let q = 7 - c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 10:50 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 11*k - 5. Let j be s(10). Suppose -3*l = 39 - 24. Let n = -5 - -9. Put n, j, l in decreasing order.\nAnswer: j, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1679 = -13983*v + 13901*v + 285 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 287, 305, 335, 377, 431, 497?\n\"Answer: 6*y**2 + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k = -23 - 26 - 89. What is the nearest to k in 0.5, 15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146097.24 minutes in hours?\nAnswer: 2434.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -13 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16.8144 nanoseconds?\nAnswer: 0.00000000028024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + z + 6, 0 = -9*w + 4*w - 4*z - 25. Let y(n) = 12*n + 1. Determine y(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -2 (b) -5 (c) 0 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6)*3\/2. Suppose j - v*g + 4 = -0*g, -3*g = 3*j - 24. Let z(w) = j*w - 2*w - w. Let r(h) = -h. Determine z(r(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -22*i**2 - 368*i - 367. Calculate j(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58289257 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(12)\/sqrt(4)) + sqrt(66)\/(sqrt(6) + sqrt(36)\/sqrt(6)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 50c59c (base 13) to base 9\nAnswer: 3481074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/103321 or 1?\nAnswer: 4\/103321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7294*b**2 + 10915*b**2 + 7*b - 3618*b**2.\nAnswer: 3*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2 - 2028*m - 8064 = 0.\nAnswer: -672, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1 + 4 + -2 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114847700 to the nearest one hundred thousand.\nAnswer: 114800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-70)*(-63)\/(-18). What is the nearest to -10\/7 in -5, q, 3\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/9)\/(-1))\/(262\/393)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77261, -77265, -77267, -77267, -77265, -77261, -77255?\nAnswer: -77247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 47*j - 210. Let c be q(-42). Solve c = -4*r + 4, 18*w = 16*w - 2*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151514540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 158066, 316710, 475354, 633998, 792642?\n\"Answer: 158644*r - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**3 + 23*a**3 - 106 + 109 + 0*a**2 - 7*a - 13*a**3 + 2*a**2. Let m(j) = 2*j**3 + 2*j**2 - 8*j + 4. Calculate -3*m(i) + 4*x(i).\nAnswer: -2*i**3 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2, 200\/143?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17134\/5 - 3426. Let c = -3 - -6. What is the nearest to 2 in c, -0.2, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3771909 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1863)\/180)\/(-69)*(0 - 2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-16))\/(3\/4). Which is the closest to i? (a) 0 (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17732, -17755, -17796, -17855, -17932, -18027?\nAnswer: -18140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c**2 + 2*c - 2. Let o(y) = -56*y**2 - 11*y + 11. Let a(r) = 2*o(r) + 11*u(r). Let v(q) = q**2. What is a(v(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.024 (c) 2\/5 (d) -4\/33 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g - 85. Let o = -3 + g. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 17*q + 22 = -3*u, -5*q + 25 = 0. Let k be 20\/6 - ((-9)\/9 - u). Are k and -0.047 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 2*i + 1 - 2 + 2*i. Let t be j(-2). Suppose -t*y + 10 = -17. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + n**2 - 5*n**2 + (-2*n + 3*n - 3*n)*(n - 2*n - 2*n) in the form o*n + l + b*n**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0, -63 in ascending order.\nAnswer: -63, -5\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 1. Let a(v) = 13*v**3 - v**2 - v + 1. Let p(o) = a(o) + 6*s(o). Let u(q) = -q**3 + 1. Let f(t) = -p(t) - 6*u(t). Calculate f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -47, 2 in increasing order.\nAnswer: -47, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19668418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69754848635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -m + 4*m. Let y = m + 13. Calculate the remainder when y is divided by (-110)\/(-11) - -1 - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 11602826?\nAnswer: 11602831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 0 = 100. Solve 5*t - 32 = 5*h - h, -19 = d*h - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 25*i - 99. Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1420, 4061, -1\/31?\nAnswer: 1420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174658?\nAnswer: 2, 11, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93.079 + 93. Let i = n + -0.021. What is the biggest value in -2\/5, 1, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 6*d - 67, -3*d + 13 = -4*z + 11. Solve -l = -4*j + 15, 5*j - d*l + 12*l = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(40)\/sqrt(32) + -2*sqrt(245).\nAnswer: -27*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-43 + -7 + (3 - -89))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/11)\/g)\/g)\/g)\/(g\/(g\/((g*g**(-7)\/g)\/g*g))) assuming g is positive.\nAnswer: g**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/9308 and -73\/1432.\nAnswer: 18616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2257*w**2 + 921 - 2*w**3 - 521*w**2 - 603*w + 4081*w + 819 = 0. Calculate w.\nAnswer: -1, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10286 smaller than -2\/24479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = -4*a - 28, 4*a + 2*z + 36 = 0. Let d = a - -13. Suppose -14 = -d*v + 14. What is the highest common factor of 126 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3737*i**3 - 2726*i - 1954*i - 535*i**3 wrt i.\nAnswer: -25632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20634, 41268, 61902, 82536, 103170?\nAnswer: 123804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 20*x**2 + 67*x - 13. Calculate u(-23).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from eeaeeeapeeeeedpeppe?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18813 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -20, -4, -3\/4, -2\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5012883*n + 2504554*n + 2508328*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 118098370 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1008) - (sqrt(1008) + -1 + -3) - sqrt(1008) - sqrt(1008)) + -4 + 1)**2*2.\nAnswer: 288*sqrt(7) + 8082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -782 divided by 10.\nAnswer: -391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -714 - -714. Which is smaller: 2\/113 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 5. What is o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-96)*-9)\/((-15)\/(-50)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401248 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(1\/36)*w)*w)**38 assuming w is positive.\nAnswer: w**(1349\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 3*l**2 + 3*l + 3. Suppose -5*d = -8*d + 12. Suppose 4*u + d*f = -20, 2*u - 3*u - 2*f - 8 = 0. Give s(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4749379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.585 times -4\nAnswer: 10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 4*x + 13. Let b(y) = 6*y**2 + 6*y + 19. Determine 5*b(i) - 7*o(i).\nAnswer: 2*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-1)\/6). Let p(l) = -3*l + 11. Let a be p(q). Sort 0, a, 10 in descending order.\nAnswer: 10, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2428 = -3*c + 2*f, -4*c + 1956 = -5*f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -177335457.\nAnswer: -1\/59111819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Let r be (-6)\/9*6 + 7. Solve -r*b = -f + 12, b + 4*f + 32 = -h*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304877*c - 1251887*c - 661250*c - 791418*c.\nAnswer: -2399678*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s**2 + 148*s**2 + 110*s**2 - s**2 + 116*s**2.\nAnswer: 311*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:14 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84.399 and 3?\nAnswer: -253.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f + 1 - 3\/2*f**2. Let l(m) = -m + 3. Let c(b) = -4*b + 14. Let p(h) = -3*c(h) + 14*l(h). What is p(o(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/(58\/174).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 8) to base 5.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/40600 and -61\/338380?\nAnswer: 98130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2675 + 27*r - 4846 - 9057.\nAnswer: 27*r - 16578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7597635 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*r = 33, 2*n + 2*r + 4 = n. Let c be (-1 + -4)*n\/(-10). Differentiate 3 - 2*a**3 + 2 - c wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0 - 0) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 802593.\nAnswer: 3\/89177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 429 + 59. Let m = g - -401. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 55 = -16. Suppose -a - 7 = 5*b. Let p = 13 + b. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**8\/48 + j**4\/6 + 5*j**2\/2 + 4. Let i(y) be the second derivative of h(y). What is the second derivative of i(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 21*c - 400463. Suppose 0 = -65*w + 72*w - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 170 + 194 = 0. Let b(g) = -g**3 - 16*g**2 + 39*g + 60. Let m be b(-18). Suppose u = m*l + l. Calculate the greatest common divisor of 91 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20146630 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 5*i + 136. Let r = i + -47. Suppose 3*a + r = 87. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68953119, -137906229, -206859339?\n\"Answer: -68953110*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let z = 7\/16 + -127\/144. Put r, z, 4 in decreasing order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*l - 5*s = -56, 407*l + 4*s = 407*l + 16 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -25*q**3 + 45*q**3 - 19*q**3 - 3*q + 16 - 11*q**2 - 13*q. Give l(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(0 + 0 - 2*v + 3).\nAnswer: 10*v - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 a when four letters picked without replacement from {a: 12, w: 2, j: 4, o: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y - 5*y. Solve -y*d + d = 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 3 + 7 - 4. Let r(g) be the second derivative of -29*g**4\/12 - 2*g - 71. Give r(b(v)).\nAnswer: -261*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + d - a - 18, -4*d - 26 = -3*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*w**2 - 431*w**2 + 115*w**2 + 145*w**2 + 113*w**2.\nAnswer: 69*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -95, -153, -211, -263?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 155 = -121. Suppose 14*j = z*j + 10. Solve 3*i + 2 - 27 = -j*y, 0 = -y + 4*i + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 8*z**2 - 3*z + 1. Determine w(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249576015.\nAnswer: 3, 5, 13, 1279877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -409, -613, -815?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25319934 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 - 6478*a*w**2 + 2*a*w - 484*a + 43*w**2 + 14240*w - 3 wrt a?\nAnswer: 6*a**2 - 6478*w**2 + 2*w - 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:50 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g - 3 - g - 2*g - g**2 + 3*g. Let f be y(6). Let p = 76 - f. What is the remainder when p is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63379308, -126758615, -190137922, -253517229, -316896536, -380275843?\nAnswer: -443655150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -24*x**3 - 25*x**2 + 12*x + 2. Let j(z) = 13*z**3 + 13*z**2 - 7*z - 1. Let n(b) = 11*j(b) + 6*u(b). Calculate n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 132*a**2 + 246*a + 1817. Calculate c(130).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0030254 * -37.9\nAnswer: 0.11466266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 4 - (-361 - -361). Sort -5, -6, 1, -2, v in decreasing order.\nAnswer: 1, -2, v, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156775331 is divided by 157.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2637 - -4?\nAnswer: 263b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10*((-44)\/8 - -2) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - o**2 + 7*o**2 + 0*o**3 - 14*o**2 + 3*o**2.\nAnswer: -o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14402 - 18*a + 7197 + 7260. Determine u(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 476 + 2407. Suppose -z + t = p, -4*z + p - 168 = -3997. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + x + 62 = 4*f, -f = 5*x - 26. Find the third derivative of -2791*t + f*t**2 + 2791*t + 31*t**3 wrt t.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - g - 6 = -4, g - 2 = 0. Suppose 0 = -5*x + 47 - 7. What is the smallest common multiple of x and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(8\/(-56) + (-1355)\/70)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2589 - 2608. Let p(f) = -3*f - 37. Determine p(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 4*o**2 + 3. Let s be n(-4). Suppose -2*a - y + 449 = 0, 2*a = -s*y - 2*y + 437. Suppose -4*r + 130 = -a. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5138707.\nAnswer: 7, 269, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + 0 + sqrt(605))*2 + (-5 + -3 + sqrt(125) + -1)*-3)**2.\nAnswer: 434*sqrt(5) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 21 + 11. Suppose 3*l + 5 - v = 0. What is the units digit of -48*(l + (-5)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.442231 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 13*m**4 + m**3 + 2*m + 19*m**4 - 5*m**4 to the form x + l*m**2 + p*m**3 + q*m + s*m**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 6, c: 12}. Give prob of sequence zz.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 - 5*z**2 - z. Let u(a) = -7*a**3 + 4*a**2 + a + 1. Let r(p) = -37*p**2 - 257*p + 18. Let y be r(-7). Calculate y*v(t) + 5*u(t).\nAnswer: -3*t**3 + t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 378461743 to the power of 1\/2, to the nearest integer?\nAnswer: 19454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 3*h + 380 = 18*x, -4*x + 400 = -2*h. Let q = x + -95. Find b, given that 0*b**q + 0*b**2 + 0 + 0*b - 1\/7*b**4 + 1\/7*b**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(2057) + 2) - (-1 + (sqrt(2057) - (sqrt(2057) + 0)))) + 1 + -4 + 3.\nAnswer: -44*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Let u = 199 + -198. Let o(f) = 2*f**2 + 57*f - 6. Let t(b) = u*o(b) - 6*n(b). What is the second derivative of t(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11675 by -5.\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(144))\/sqrt(12).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -132. Let c = -21 - g. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5735 divided by -7\nAnswer: 5735\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 28*n**2 - 202*n - 68. What is the remainder when 467 is divided by j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 72 - 91 + 44 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/5 - 7308*f\/5 + 101724\/5 = 0 for f.\nAnswer: 14, 2422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 252?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141745 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p. Let z = 4 - p. Suppose -6 = -j - 2. Solve -z*y + j*u - 14 = 6, -4*y - 20 = -u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19775\/186 + -78\/31. Which is greater: -109 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 394 = -10*r. What is the common denominator of 59\/20 and (r\/16 + -3)\/(9\/50)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -842, -1244, -1624, -1976, -2294, -2572?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y**2 - 21. Let z(v) = -58 - 36 - 3*v**2 + 92. What is -2*u(o) + 21*z(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 2, l: 3, y: 1, p: 4}. Give prob of picking 1 r and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3084 and 1518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t**4 - 11530*t**3 - 434025*t**2 + 9307440*t + 207576000 = 0. Calculate t.\nAnswer: -93, -200\/13, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3443 (base 8) to base 10.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000000111111010010 (base 2) in base 12?\nAnswer: -11865aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 24 = 0. Let l(z) = 25*z**2 - 18*z**2 - 6*z - 14*z**2. Let o(m) = 6*m**2 + 5*m. What is w*o(h) + 5*l(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 16367 = -32369. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-34142)\/(-16) + 1. Let b = a + 3811\/8. Let u = -2588 + b. Find the common denominator of -75\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, n: 1}. What is prob of sequence ofn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 + 9 = -4*n, -3*y - 12 = 0. Let l(m) = -m + 7. Let q be l(0). Let u = q + n. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775343 (base 8) in base 13?\nAnswer: 216491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-462)\/(-44)*(-3)\/(-42).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:11 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 9*c**2 - 18*c - 25. What are the prime factors of i(-10)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38541 = 645*o - 3711 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28*l**2 - 8*l + 10. What is the units digit of i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 8086?\nAnswer: -323.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -95877000 rounded to the nearest one hundred thousand?\nAnswer: -95900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -13, -23, -35?\n\"Answer: -n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359674619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 42 = -q. Suppose 0 = v - p - 33, -85 - 17 = -3*v + 4*p. What is the units digit of q\/35*v\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-2 - sqrt(1728) - sqrt(1728))\/sqrt(6) + ((sqrt(100)*1)\/sqrt(10))\/sqrt(5).\nAnswer: -47*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 (base 12) in base 9?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2509 = 36879*i - 36828*i - 469 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - 3872*r + 3869*r + 4 - 2*r**3 + 4*r**2 + r**2. Determine o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g + 1121 = 601 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-9)*(-70200)\/60450?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + (64 + -75 - (0 + -8)) - -7) + 61\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 6, o: 2}. What is prob of sequence howo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from lllmmll.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -749 - -956. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**2. Let p(t) = -74*t. Give l(p(o)).\nAnswer: 93092*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28010379\/728 + -2837\/728. Let v = n + 38506. Let x = 1285\/78 - v. What is the common denominator of -53\/5 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121220 and 16340.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + g + 2. Let z(s) = -2*s - 20. Let d = 37 - 46. Let c be z(d). Calculate p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284659?\nAnswer: 284659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 825\/14 - 1828\/35. Let d = 498\/29 - 9409\/580. What is the common denominator of d and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + h + 898 = 2*s, -4*s + 1782 = 5*h. Suppose -5*v - s + 1873 = 0. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23))**(-4)\/(w**(18\/7)\/(w*(w**(-8\/5)\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(-2273\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 948334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4168 = 25*g - 10482. Suppose 61*l + g = 63*l. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 59 = -3*l, -4*l - l - 2*o = -100. What is the remainder when 46 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 46. Which is the nearest to p? (a) 5 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -557, -820, -1083, -1346?\n\"Answer: -263*z - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/56 and -54\/188587?\nAnswer: 1508696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**10*o\/(o\/o**(3\/7))*o*o**7\/o*(o*o**(5\/4))\/o assuming o is positive.\nAnswer: o**(551\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464\/1185 + -2\/237. Suppose -16*w + 276 = -2*u - 19*w, -5*w + 715 = -5*u. Let r = u - -563\/4. Which is the third biggest value? (a) 1\/4 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + -0.2. Let x be 3\/15*5\/(-4). Is x greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/14 - 5*u**6\/24 + 5*u**5\/6 + 25*u**4\/6 + 20*u**3\/3 + 18*u**2. Solve w(g) = 0 for g.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 + (-15 - 2) - 9) + (13 - 5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -0.05, 1\/6 in descending order.\nAnswer: 1, 0.5, 1\/6, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482 - -3384\/7. Factor -6\/7*k**2 - 4*k + a.\nAnswer: -2*(k + 5)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -7 - -6 - -12 - -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1184954 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 6 = -3*o, 0 = -4*o - 3*r + 7. Find the first derivative of -4*s**4 + 1 + 0*s**4 + 11*s**o wrt s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029379118 to 4 dps.\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354958 and 16.\nAnswer: 2839664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2820026896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**6\/360 - z**5\/120 + z**3\/2 + z. Let w(f) be the second derivative of c(f). What is the second derivative of w(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1703\/5 smaller than -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/4 - j**3\/3 + j**2 + 16*j - 16. Let s be t(0). Solve 2*z - 4*z + 4*c = s, -5*z + c = 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63041572*p**2 - 2669*p + 1339?\nAnswer: -126083144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7095.019ms to seconds.\nAnswer: 7.095019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23687 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1180, 1184, 1190, 1198, 1208, 1220?\n\"Answer: d**2 + d + 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 72?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 8*l + 7. Suppose 0 = -4*q + 15 + 13. Let d = 0 + 2. Let i = d - q. Determine m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 5.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s**4)*s)\/s**7)\/(s**(1\/11)\/(s*s\/s**(2\/5))))**(-1\/2))**(-15) assuming s is positive.\nAnswer: s**(-1401\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371908947, 371908946, 371908945, 371908944, 371908943, 371908942?\nAnswer: 371908941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2250, -58, 1 in ascending order.\nAnswer: -58, 1, 2250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4467 divide 1186929286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 180 = f. Suppose z = 4*z - f. Let p = z + -7. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0219? (a) -1\/4 (b) 0.008 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1))\/n)**(-16))**(-6))**(4\/9) assuming n is positive.\nAnswer: n**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041794?\nAnswer: 2, 13, 17, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -16*z - 3. Let i be k(3). Let s = i - -134. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 324 = -2*n + 92, 122 = 2*f + 2*n. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -396 + 829 - 384 - 4*i + i**2 as c + b*i + x*i**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 - 4*a - 2. Calculate u(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 484719639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 328, -0.2, -9\/2 in descending order.\nAnswer: 328, 2, -0.2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 79 = 2*u. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:59 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -196008\nAnswer: 784032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + -31 + 135 - (-1 + 20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23288298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 + 7*k**3\/6 + 11*k**2 - 14*k. Let s be h(9). Solve s*w - 6 - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, t: 2, n: 3, a: 4, y: 1}. Give prob of picking 1 t and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(117) - 1*sqrt(117) - sqrt(117))\/sqrt(9) + 2 + (1*sqrt(117)*-5)\/sqrt(9) + 5)*-4.\nAnswer: -32 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 - -114. List the prime factors of (272\/85)\/(l\/(-595)).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584))**2 + -1 + -4 + 1 + (2 + -3*sqrt(1100) + 5*sqrt(1100)*-3 + sqrt(1100))**2.\nAnswer: -680*sqrt(11) + 324236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -64?\nAnswer: -11\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 277293769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 4*p**2 + 7*p - 34. Let f be x(4). Which is the closest to -0.4? (a) -4 (b) -1 (c) 1\/9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25 - -5)*(0 + 1). Suppose -2*f = 3*p - f + 115, -p - b = 2*f. Let o = -17 - p. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 135\/(-35))\/(740\/364 + (-1332)\/2886).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2292)\/37245)\/((-16)\/(-1440)*(0 + -1 - -5))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -20. Let g be ((-12)\/z)\/(30\/105). Suppose -s - 5*l + 15 = -17, 3*s = g*l + 24. Calculate the remainder when 45 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 - 26*g + 69. Let q be p(3). What is the nearest to q in -3, -2, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + 1.1. Let d = u + -1. Let z = -14 - -10. Put z, 4, d in decreasing order.\nAnswer: 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 171*b**2 - 6*b - 129. Let o(f) = 17*f + 53 - 214 - 512*f**2 + 550. Let z(r) = -17*h(r) - 6*o(r). What is the first derivative of z(u) wrt u?\nAnswer: 330*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -32*x. Let a(r) = 8*r + 4*r - 9*r. Calculate g(a(v)).\nAnswer: -96*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20766053.2 less than 0.1469?\nAnswer: -20766053.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-1\/13))*u)**25*((u\/u**(-1\/2))\/u*u)**(9\/2) assuming u is positive.\nAnswer: u**(3051\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 518*g**2 + 2351*g - 410548. Determine k(521).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -33*c**3 + 3*c**2 = 0.\nAnswer: 0, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/12 - z**3\/6 + z**2 + 22*z. Let c(v) = -5*v**2 - 5*v + 9. Calculate -2*c(r) + 9*q(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(190)*1 - sqrt(190))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -47*r**6\/120 + 43*r**4\/4 + 348*r**2. What is the second derivative of t(k) wrt k?\nAnswer: -282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1 (b) 1\/12 (c) 0.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2 + 0*d**2 + 0*d**2 + 4*d + d**2. Let s be o(-4). Factor 2\/7*x**s - 2\/7 + 0*x.\nAnswer: 2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9*b = 12. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1997226?\nAnswer: 7988904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + k**2 + 0*k + (0*k - k - k)*(-5*k + 2*k + 5*k) - 8*k**2 - 7 + 7 + (4 + 3 - 5)*(-5*k**2 + 7*k**2 - 6*k**2).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863414 less than 3966?\nAnswer: -2859448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 - -3. Let j = 0.8 + -0.7. What is the closest to j in 0.3, d, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*150\/810.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = 4*u - 44, u = 5*y + 11. Let q(k) = -k + 10. Let x be q(u). Which is smaller: x or -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 26 = -2*t, 5*t = 3*z + 2851 - 2824 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*a + b, -2*b = 4*a - 0*a - 10. Let u(z) = -z - a + 2 + 11. What is the units digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.6, -1, 108 in descending order.\nAnswer: 108, 0.6, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 411 + -1246. Let u = 17\/14 + -75\/7. Find the common denominator of x\/120 - (-2)\/(-3) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6977.057 decades to years.\nAnswer: 69770.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 8*n + 13. Let x be j(5). What is the highest common factor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -46. Let j = 39 + s. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67.4 and -4.\nAnswer: -269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-110)*-4*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - -4532013?\nAnswer: 4532102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 613960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/110091 and 31\/51.\nAnswer: 1871547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p*p\/(p**8*p))\/p)\/p)**(-28))**(-40\/3))**38 assuming p is positive.\nAnswer: p**(-340480\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/5 + 12*p**3\/5 + 6*p**2\/5 - 52*p\/5 - 48\/5 = 0. Calculate p.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**2 + 47*g**2 - 145*g**2.\nAnswer: -145*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 113 and 113 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Suppose -2 = -q - 0*q. Suppose o = -4*n - m + 177, -q*n + 2*m = 6*m - 106. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g + 13, 5*h + g - 11 = 0. Let y = -32 - -32. Solve -n + 5 = -2*n - 2*j, 5*n - 4*j - h = y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 - y**3\/2 + y**2 + 93*y. Calculate i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, 2, 1.3, -3.8, -4\/7 in descending order.\nAnswer: 2, 1.3, -0.2, -0.4, -4\/7, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 2 - 34. Solve 3*b + 1 = n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167\/3 - -1175\/21. What is the closest to -0.03 in -2\/13, r, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2\/3, 20, 100?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 10, s: 1, k: 4}. Give prob of picking 2 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (332\/(-249))\/(74\/3)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 2) to base 15\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.061, 10 in decreasing order.\nAnswer: 10, -0.061, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2872914, 5745922, 8618930, 11491938, 14364946, 17237954?\nAnswer: 20110962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 2, g: 3, q: 4, a: 1, x: 2}. Give prob of sequence gqga.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-2\/13)*f)))**(-1\/14) assuming f is positive.\nAnswer: f**(-12\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1755 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 18530.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*p - p. Let n be 0 - (123\/(-5) - (-21)\/35). Let r(l) = 2*l**2 - 49*l + 34. Calculate the lowest common multiple of r(n) and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Suppose 0 = 4*n + q - 45, -3*q - 7 - v = 0. Let p = 10 + n. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from jjfffjff.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5445*m + 185131. Give h(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9 = -3*c - f, 4*f + 16 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -50.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281\/20 + -57\/4. Let z = -4 - -2.9. Let k = z - -1.2. What is the nearest to -5 in -3\/2, q, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -29?\nAnswer: -95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/((-20916)\/189)*4\/(-282)?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/42 - 2\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 3, t: 1, x: 2, i: 1}. Give prob of sequence idd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhj when three letters picked without replacement from hjjhhjjhjjhjhjhj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137.1852 - 133.98. Let h = m - 3.2. Round h to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -14726, 23, -5 in decreasing order.\nAnswer: 23, 22, -5, -14726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -16.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125082*s**3 + 765*s**2 - s - 131 wrt s?\nAnswer: -750492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 - 10*l**3 + 11*l**3 - 3 - 6*l - 5*l**2. Let v(y) = -y**3 + 7*y**2 - 2*y + 10. Let r be v(7). What is g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/3 (c) 0.2 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783668776.\nAnswer: 2, 11, 8905327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -29. Let g = u + -6. Suppose 0*r + 95 = g*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*p - 1768 = 0, -3*m = -m - 4*p - 910. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let y = 61 + -35. Let s = y + -22. Let m(q) = -2*q**2. Calculate s*m(l) - 9*n(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 - -0.04. Let d = 8\/19 - 75\/133. Which is the nearest to u? (a) 0.2 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + 21. Let d = 25.9 - 48.3. Let n = 22 + d. What is the closest to 2 in -0.2, n, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose h - 69 = -b*h. Let a = h - 46. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.568378 kilometers?\nAnswer: 5568378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12296.55 meters in micrometers?\nAnswer: 12296550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 3. Let s(x) = 1. Let d(z) = m(z) + s(z). Let j(l) = l + 1. Calculate -6*d(i) - 11*j(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4530 and 120?\nAnswer: 18120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o - 182 + 182)*(1 + 2 - 5)*(0 - 3 + 2)*(-11*o - 3*o + 4*o)*(-1 + 5 - 5).\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) + 2795\/(-13195)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 25*x = -1400. What is the highest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 20*k - 13. Let y be 13*-1 - (-24)\/18*3. Let n be b(y). Suppose -194 = -n*w + 186. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-19) - 14\/133. Solve -3*p + p - 4 = v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -50. Let s = -5 - -1. Which is the closest to -2\/99? (a) s (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(80) + 3 + 3 + (sqrt(1620) + -1)**2*-4.\nAnswer: -6474 + 148*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001111 - 10001000010?\nAnswer: -100101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(-4186))\/(4\/(-26))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268187 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/108*18\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-140) + ((-15)\/4 - -3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/98012 and 52\/1177?\nAnswer: 1078132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7507954 divided by -46?\nAnswer: 3753977\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1590\/4560911?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 380, 570, 760?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9220.965km in meters?\nAnswer: 9220965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5013)\/(-45) - 11)*(64 + 1). Suppose -6*b + y = 88. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -16*a - 3*a. Let m(t) = -t**2 + 6*t + 5. Let w be m(a). Suppose -w*n - 171 + 966 = 0. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -0.5 (c) 1\/2 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -5. Let j(f) = -f**3 - 48*f**2 - 138*f - 124. Let q be j(-45). Let l = q + a. What is the smallest common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 61*r + 163 - 63*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82422 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/1134*-35*(-12)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 5. Suppose -14*s + 5 = -65. Let p(u) = -4*u + 24. Let g be p(s). Solve 2*c - c - 15 = g*b, c + i*b = -21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773689 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Suppose 4*a = -4 + 24. Let n be u(a). Let k = -134 + 139. Sort k, n, 4.\nAnswer: n, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 11*a. Solve 2*i + 2 + 4 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1177)\/99 + 12 - 23\/(-9). Let h(s) be the first derivative of 0*s**2 - 9\/4*s**4 - p*s**3 + 0*s - 5. What is the third derivative of h(c) wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-14))\/4*1827\/2610?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:10 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 0, -13, -26?\n\"Answer: -13*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-5)*f)\/f)\/f*f**2)\/(f**(2\/7))**13)\/(f**(-1)*f**(3\/5)*f)**17 assuming f is positive.\nAnswer: f**(-592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*p = 48, -j + 72 = 4*j - 4*p. Suppose 5100 = 5*q + j*q. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294*b**2*d*s - 1574*b**2*s*v - b**2*v + 2*d*v - 21*s wrt v?\nAnswer: -1574*b**2*s - b**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**8\/6720 + g**7\/2520 - g**4\/24 + g**2. Let h(q) be the second derivative of c(q). Determine j so that h(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229857 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1169443697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*y**3 - 1 - 35*y**4 + 32*y**4 to j*y**2 + t*y**4 + x + v*y + a*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 13 = 2*t - 5, -3 = t + 2*s. Suppose 5*c = -2*p + 45 - t, 4*p - 3*c = 36. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:15 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 17132364?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d*d**(-6)*d)\/d*d*d)**(-10\/7))**(-21) assuming d is positive.\nAnswer: d**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-2)*(-140)\/(-21) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t\/t**(-18))\/t)*t)\/t**(-9\/4))**(-1\/8))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 - 346 = 104*g + 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 20*i**2 - 18*i**2 - 21*i**2 + 74*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623592 to the power of 1\/2, to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.7 and 41.\nAnswer: -192.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 14*y**2 + 4. Let k be b(-14). What is the second derivative of f + k*f + 4*f**4 - 5*f**4 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2008734952 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 - b - 1. Let h be r(-4). Suppose 11*f + 50 = 138. Solve h*c - c = -f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935 = i - 5*i - 959 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**7\/14 + 11*a**6\/30 + 3*a**5\/5 + a**4\/3 + 2*a + 13. Solve j(d) = 0 for d.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10921528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3 + 37 + -43. Let j = -20462\/55 - -372. Is j < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 + 5*s**3 - 25*s**2\/2 - 45*s - 10. What is the tens digit of d(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/v*v**(-5)*v*v)**(-21))**(-1))**(-31\/3) assuming v is positive.\nAnswer: v**868","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6973626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3249*r**4\/2 - 1346910*r**3 + 279188450*r**2.\nAnswer: r**2*(57*r - 23630)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 9*s + 7. Let g be m(-9). Suppose 3*c - 43 = -g. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249 - 74. Suppose 2*o - 12 = -4*s, -5*o + 4*s - 4 = -3*o. Suppose -o*b = 5*l - d, 0*l = -2*l - 4*b + 86. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8374 - 8372. Put o, 3, -18, -1, 7 in descending order.\nAnswer: 7, 3, o, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/30 - 4*u**5\/5 + 37*u**4\/6 - 52*u**3\/3 + 45*u**2\/2 + 3*u + 85. Find i, given that m(i) = 0.\nAnswer: 1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 530 = w, 3*w + 9*r - 1640 = 4*r. List the prime factors of w.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78670 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*t**2)*((-16 - 68 - 40)*(-3*t + 0*t + t) - t + t + 5*t)*(2 + 2 - 3) to the form s + z*t**2 + b*t + k*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j - 6. Let i(r) be the first derivative of -r**2\/2 + 8*r - 1. Let s = -8 + 12. Let n be i(s). Let c(d) = -d + 1. Give n*c(x) + p(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*t + 465*t = -96 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1482 - 1333. Is k at least 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 29 = -9. Let m(r) = 4*r - 5. Let t(z) = 2*z - 2. Let u(a) = 3*m(a) - 7*t(a). Let n be u(x). Solve 2*h + n = 3*h - 2*q, q = 2*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-1\/19)\/g*g)\/g)*g)\/g)**24 assuming g is positive.\nAnswer: g**(480\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5470 - -5470. Which is the smallest value? (a) 749 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/3 + 10802*z**4\/3 - 21634*z**3 - 97298*z**2\/3 + 151396*z\/3 = 0.\nAnswer: -5407, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 2*h - 4. Let p be f(-5). Suppose 2*j + p = 6. Solve 3*d + 22 - 7 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.1 + -36. Let d = -3586\/13 + 276. Which is the nearest to n? (a) d (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 15*g**2 - 129*g - 169. Is c(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*k**2*n**3 + 943*k**2*n**2 + 25*k**2 + 2*k*n + 77*k + 1 wrt n.\nAnswer: 960*k**2*n + 1886*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (0 - -3 - 1). Suppose -5*q = 3*l - 12, d*l - 16 = -q - l. Calculate the least common multiple of 10 and (-1 - q)*(1 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 66*s + 54. Let o be u(-10). Solve -15*a + 16*a - o = 3*d, -6 = -d - 5*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, b: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1327031, 1326998, 1326895, 1326686, 1326335, 1325806, 1325063?\nAnswer: 1324070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6282 + 55578. Is 316 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*h = 22, -25*p + 27*p - 3*h = 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5822212 to the nearest integer?\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 7*q**6\/6 + 5*q**3\/3 + 8. What is the third derivative of k(m) wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 31*o - 83. List the prime factors of c(34).\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*b - 41*b - 1, 4*y = -4*b - 24. Let r(o) = 9*o + 31. What is r(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/4, 1.65, 0.1192?\nAnswer: 0.1192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1768290 divided by -84\nAnswer: -294715\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266888.\nAnswer: 2, 3, 7, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 47*r + 117. Determine w(-49).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24f (base 16) to base 4\nAnswer: 21033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98563382 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 + 20\/5. Let t(v) = -2*v**2 + 10. Let a(d) = -2*d**2 + d + 11. Let k(l) = p*t(l) - 6*a(l). Let u be (5\/10)\/(4 + (-164)\/40). What is k(u)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -4*x**3\/3 - 7*x**2 + 21*x - 3. Let c(v) be the first derivative of q(v). What are the prime factors of c(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/63 and (-66)\/56*2*(-144)\/(-378).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 13*x**2 + 14*x - 4. Let c be p(-14). Let y be 2550\/c*(-208000)\/30. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -12. Let w be 21 + 2 - (1 + 0). Suppose m - t = w, -5*m = 3*t + 2*t - 120. What is the remainder when m is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214947.\nAnswer: 3, 89, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = 79 - 1093 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 3068 = -1073 + 1703. What is the remainder when 333 is divided by q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(32\/20)*-2. Let g(k) = 5*k - 4. Let h(v) = -4*v + 4. Determine j*g(f) - 6*h(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*t = 28, -3*v - 4*t - 19 = -0*v. Let r = 16 + v. Find the first derivative of -4*w**3 + 0*w**3 - 2*w**r + 3 wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - k**2 + 0*k**2 + (k + k - 3*k)*(1 - 1 - k) + 2*k**2 - k**2 + k**2 + (5*k + k - 5*k)*(4*k - 4*k + k) - k**2 + 0*k**2 + 2*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 9*y + 2. Let q be d(-10). Let s = 34 + q. Suppose 2*j - 5*t - s = 0, j - 119 = -2*j - 5*t. 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 first derivative of 49982*h**3*q + 1796*h**3 - 5*h**2 - 2*h*q**2 + 2*h wrt q?\nAnswer: 49982*h**3 - 4*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 10, p: 7}. Give prob of picking 1 c, 1 p, and 2 e.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0361, -0.021, 0, -2, -3\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3228*z - 2801 + 83501 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-5))\/(-2 + 60\/25). Let v be (g + 3)\/2 + (-2 - -7). Factor 2*m - 4\/3*m**2 + 4\/3 - v*m**3.\nAnswer: -2*(m - 1)*(m + 1)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038816 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:32 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6310.\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6536)\/(-2052) + 4\/27.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = h, 12 = -h + 3*u - 5. Let l be 242\/8 - h\/(-8). What is the common denominator of -19\/22 and (3\/l)\/(24\/2430)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -1443, -5341, -12929, -25437?\n\"Answer: -205*n**3 - 3*n + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/5 + 2*b**3 + 24*b**2\/5 - 72*b\/5 = 0?\nAnswer: -3, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -18*((-105)\/48 + 2). Which is the closest to -0.01? (a) i (b) 2\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202121001 (base 3) to base 7.\nAnswer: -203104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 2*x + x + (-2*x + 0*x + x)*(1 + 2 + 0).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*4\/(-2)*-4 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5864\/91625)\/((-4)\/5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*z - 14, z - 13 = -0*z - 5*f. Suppose -j - 174 = 5*p + 3*j, 5*j = p + 29. What is the common denominator of p and (-2 - -9)*((-18)\/z + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let s(b) be the third derivative of -b**4\/24 - b**3\/6 + 7*b**2. Give -s(n) + y(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/12*18\/4. Let b = n - 27. Solve -3*s + 0*s = -b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 36*d + 175. Determine l(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -152340.\nAnswer: 761700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80514, 161040, 241574, 322122, 402690?\nAnswer: 483284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13242 and 540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from cccccccccfcccccfcccf.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -13 - 3) + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 4. Let a = 847 - 852. Give z(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/3*c**3 + 1\/3*c**4 + 68\/3*c - 23\/3 - 22*c**2 = 0. What is c?\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 8*b + 3. Let p be i(8). Suppose j = p*j. Let n(a) = -a**3 + a**2 + 3. What is n(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 4*a**3 + 56*a - 19*a**2 - 13*a**2 = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 980\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3 - 3*d**2\/2 + d - 362. Let n(o) = o**2 + 1. Give n(l) + z(l).\nAnswer: 4*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -693 + 622.4. Let z = x - -71. Which is the biggest value? (a) z (b) 1 (c) 0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-273)\/(-26))\/(-21))\/(1\/138). Which is bigger: 1\/4 or s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 176*n**2 - 27*n - 99. Is c(-58) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 - v + 8. Suppose 0 = -7*i + 38 - 17. Suppose -37 = -5*m + 2*r, -i*m - r = 2*m - 34. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1062908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by -6\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(874*h**2 - 1159*h**2 - 966*h**2) + 5*h**2 + 0*h**2 - h**2.\nAnswer: -2498*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:23 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 172108367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -10.8\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 198 in 2\/7, -17, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 4*v**2 + 3*v + 3. Suppose -5*l + l + 12 = 0. Let z be m(l). Let j = z - 3. Let w(h) = -h**2 - 7. Give w(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14794 - -14730. Let r be 3\/1*5*-4. Let o = r - f. Solve 0 = -3*b - 3, 2*b - 10 = o*p + 4*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let q(h) = -5*h - 4. Let d(o) = -15*o - 13. Let x(l) = -2*d(l) + 7*q(l). Let y be x(-2). Calculate the remainder when 25 is divided by s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 105*i + 16795. Calculate b(-167).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 8*d**2 + 11*d + 26. Let h be l(-9). Let u = -14 - -20. Let x be -6*(-3)\/u*2. Solve 0 = -2*f + x*f - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 - 5*t + 3. Let y(l) = -3*l**3 + 4*l**3 + 2*l + 7*l - 5 - 3*l**2. Suppose 3 = 2*s - 3*s. Let x be -5*1*1*1. What is s*y(b) + x*h(b)?\nAnswer: 2*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -587\/7544 - 3\/328. Which is the closest to 1? (a) 0.2 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 594*y**2 + 19*y - 265839 wrt y.\nAnswer: 1188*y + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/2*u**3 + 0 + 0*u + 0*u**5 + 0*u**4 + 1\/60*u**6 - 2*u**2. Differentiate w(k) with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1071, -4387, -10001, -17985, -28411, -41351, -56877, -75061?\n\"Answer: -12*t**3 - 1077*t**2 - t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r**3 + 72*r**2 - 553 with respect to r.\nAnswer: -18*r**2 + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 349567340 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 7 (c) -1 (d) -2\/17 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2023, -0.4, -8 in decreasing order.\nAnswer: -0.4, -8, -11, -2023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 7*w + 2. Let f be o(7). Suppose 2*l + f*l = 2*m + 100, -3*l = -3*m - 138. Let z be 1\/(-3) - 26\/m. Is 1 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) 115\/18 (c) 4 (d) -15 (e) -0.5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4280, -8559, -12836, -17111, -21384?\nAnswer: -25655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 43 - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(576))\/(-1*sqrt(200) + sqrt(2) + (sqrt(32) - sqrt(128) - sqrt(32))).\nAnswer: -24*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5 - 1296*i**4 - 5133*i**3 + 1332*i**2 + 20580*i + 15408 = 0.\nAnswer: -428, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -388252?\nAnswer: -388253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from sdsshhhddhyyqdyy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f + 34*f - 22*f - 54*f = -1344 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26004584659 - 0.\nAnswer: -26004584659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 13*m**2 - 15*m + 19. Does 6 divide s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 336 + 1136 = -8*z. Calculate the highest common factor of 1060 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5850*v**3 + 6*v**2 + 38410*v wrt v?\nAnswer: 35100*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2954 is divided by 272\/(-102) - (320\/(-3) + 2).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54e83 (base 16) to base 13.\nAnswer: c23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12275145 to the power of 1\/2, to the nearest integer?\nAnswer: 3504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-21 - (6 - 12)) + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 782.9, -0.2, -1.2, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 147\/(1 - 0\/1). Let b be 1\/(-4) + g\/28. Suppose -x + b = -4. Calculate the greatest common factor of 72 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 688, 933, 1422, 2239, 3468, 5193?\nAnswer: 7498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 29334*z. Let r(b) = -2*b. What is x(r(s))?\nAnswer: -58668*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162300292 and 1309.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*k + 113 = 512*k - 101*l, l + 10 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvsvvvv. Give prob of sequence svvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*w**5 + 0*w + 2*w**5 + 0*w + (4*w - w + 0*w)*(-w**4 - 4*w**4 + w**4) - 2*w**5 + 3*w**5 - 3*w**5.\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040442133 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 230089132 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13890257?\nAnswer: 13890257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4. Suppose -7*l = -53*l + 22*l + 120. Let q(n) = -n + 5. Let p(x) = 2*x - 4. Let c(s) = -2*p(s) - 3*q(s). What is l*j(t) + 3*c(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 1. Let c(r) = -13*r**3 + 52*r**2 - 52. Calculate c(a) + 52*q(a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -20 - 62) + 38\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853121?\nAnswer: 3, 617707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 5, -18\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/770 + 1\/14.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/18*-2 - (-344)\/(-6). Let b = p - -51. Find the common denominator of -125\/66 and b\/(-10)*(-4 + (-249)\/(-18)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a6 + 0?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -335 + 336. Let c(d) = 1. Let m(t) = 3*t + 2. Determine a*m(p) - 6*c(p).\nAnswer: 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508397 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182292.2 - 182292. Let i = 8 - 3. Which is the second biggest value? (a) r (b) -2\/5 (c) 0.31 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110.069 - 110. Let i = -10.931 - g. Let j = 356\/2895 + 2\/193. Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 2704*i.\nAnswer: 4*i*(i + 676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26) - (-900)\/65. Suppose 14 = -5*y + 49. Let x = y + r. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.041 - -0.651. Let i = -1635.96 + 1636.651541. Let v = b - i. Round v to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + ((-81180)\/77)\/(-36)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*b**3 - 62*b**3 - 123*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + h = 11, 4*j - h = -0*h - 9. Let y = -2 - j. What is the smallest common multiple of 14 and (y - 2)\/(1\/(-10))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 11) to base 14.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010 + 100110101?\nAnswer: 11110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1659641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssssssssbbs. What is prob of picking 2 b and 1 s?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-58606)\/(-9) - (608\/(-144) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 - -128. Calculate the remainder when n is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 44. Suppose -51 = -3*g - f*j, -4*j + 12 - 63 = -3*g. Calculate the remainder when 33 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let i(u) be the second derivative of -13*u**4\/12 - 13*u. What is y(i(l))?\nAnswer: -338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*n - 7, -5*q = -3*q + 2*n. Does 24 divide q*2\/(2\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + ((sqrt(117) - 1*sqrt(117)) + sqrt(117) - sqrt(117)) - sqrt(117))*-1)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392609 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1549 - 1395. Calculate the highest common factor of q and 4752.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -81857?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2 - 3836874*m - 7673740 = 0.\nAnswer: -1918435, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55174.13g to milligrams.\nAnswer: 55174130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*g + 12. Suppose 4*q + 91 = -n, -2*q + 9*n - g*n = 73. Which is the nearest to 1\/2? (a) -5 (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + (-555)\/(-6). Let x be ((-6)\/9)\/((-1)\/n). What is the common denominator of (-2)\/9 - x\/(-36) and 55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -225670 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157376 divided by -157376.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 83, -414 in increasing order.\nAnswer: -414, -4, -1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124195512.\nAnswer: 2, 265524439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125) + -4 - (sqrt(125) - sqrt(125)*-4)*3)**2.\nAnswer: 480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 + 2*m - 8. Let k = 43 - 37. Calculate w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + g**2 + 4*g - 7*g + 2*g**2 to the form x + n*g + q*g**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 995*g**4 + 413*g**2 - 7*g + 10. Let v(o) = -994*o**4 - 412*o**2 + 6*o - 8. Let b(f) = -4*h(f) - 5*v(f). What is the third derivative of b(d) wrt d?\nAnswer: 23760*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 32205.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 17 = 2*r. Suppose r - 1 = s. Find the third derivative of -9*u**2 + 5*u**2 + s*u**2 + 13*u**3 wrt u.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -13, 1477 in ascending order.\nAnswer: -13, 1, 4, 1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20655655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3*z**5\/100 - 23*z**4\/10 + 529*z**3\/10 + 77*z + 137. Let i(h) be the first derivative of n(h). Let i(b) = 0. Calculate b.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(64)\/sqrt(8))*-6 + -1.\nAnswer: -24*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**2 - 55*r**2 - 52*r**2. Let j(s) be the second derivative of s**3\/2 - s - 3465. Give g(j(b)).\nAnswer: -855*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3451856949 is divided by 8555?\nAnswer: 8554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6515*p = -6641*p - 378 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -7*n + 27*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100045666561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 4. Determine h(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*u - 2*u. Let l = -10 + u. Let v be (-1)\/(30\/l + -2). Calculate the highest common factor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 12*k - 14.\nAnswer: 2*(k - 7)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, -14, 1387 in decreasing order.\nAnswer: 1387, 5, 3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827.8 + 0.0319?\nAnswer: -1827.7681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*q**3 + 5989*g*q**2 - 1976*g*q + 650*g - 120*q**3 wrt q.\nAnswer: -6*g*q + 11978*g - 720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7193*n**3 + 2511*n + 18. Let h(w) = -244557*w**3 - 85376*w - 609. Let u(x) = -203*g(x) - 6*h(x). Find the second derivative of u(i) wrt i.\nAnswer: 42978*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27249705 divided by 3?\nAnswer: -9083235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 1842 = 4*o + 324. Calculate the remainder when 3908 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*i**3 - 4*i + 2*i**3 + 2*i**3 + 2*i**4 in the form v + q*i**4 + y*i**3 + a*i + n*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-5\/12)*t\/(t*t\/(t**(-1\/9)\/t))*t**(-1))**36 assuming t is positive.\nAnswer: t**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80673275 by -16134655.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*d - 175*d + 7350 = -343*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.24 - 1.2554. Let v = f + 0.017056. Round v to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**6 - 4007812*r**4 + 7564375*r**2 + 2*r wrt r.\nAnswer: -840*r**3 - 96187488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 217408286 and 3.\nAnswer: 652224858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179821.\nAnswer: 179821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*w = 2, -2*b - 6*w + w = -4. Find the first derivative of -6*s**3 + b - 3*s**3 - 1 + 8*s**3 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*n**3 + 647*n**3 + 726*n**3.\nAnswer: 1010*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 1. Let u(l) = l**2 + 7*l + 8. Let t be u(-6). Let s be c(t). Suppose -45 = -3*w + s. Calculate the least common multiple of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhzhvfyvwvfvhv. What is prob of sequence hhy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*a - 169144, 2*y + 0*a - 2*a - 67658 = 0. Let j = -10046857\/297 + y. What is the common denominator of 13\/12 and j?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -448*a - 1385*a - 1850*a + 1108*a - 1035*a as r + i*a and give i.\nAnswer: -3610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2. Let n(z) = -4*z**2 - 2*z. Calculate x(n(u)).\nAnswer: -96*u**4 - 96*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from qqjjjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 137820, -4\/7, -1?\nAnswer: 137820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 23. Let i = -1 + 2. What is the nearest to i in -0.4, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -u + 8387, 1808 = 2*r + u - 1545. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-39 - 47)*(3\/(-3) + -1) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*y - 42*y + 40 - 9 - y**2 in the form g*y**2 + q + c*y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22444 divided by 464\nAnswer: 5611\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 166800282539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/11 + 42*s**2\/11 - 78*s\/11 + 38\/11 = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tooootttooooooto. Give prob of sequence oto.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2607, 5210, 7813, 10416?\nAnswer: 13019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 11*z**2 + 4*z + 43. Let h be r(-11). Let w be (-33 + h)\/((-7)\/(-8050)). Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -378, -495, -686, -963, -1338, -1823?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14\/3 - -31\/6. Let l(s) be the first derivative of -a*s**2 - 3 - 2*s. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2\/(-4)*-4). Let h be (-2)\/((-8)\/(-2)) + i. Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3*h = 4*c + 39, 41 = 5*c - h. Suppose 0 = -5*x + c + 6. Let s be 28\/x*-1*-3. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100158380 and 5.\nAnswer: 100158385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 21231?\nAnswer: 42462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 35, 58, 85, 116, 151?\n\"Answer: 2*q**2 + 13*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9885852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086 = -9*u + 1014 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 - 14*m + 8. Let z be r(0). Solve 0 = z*j + 515 - 475 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1 (c) 2\/3 (d) -0.054 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - 2*n + 2. Let u be l(1). Solve 0 = u*s + 4, g + 15 = 6*g + 5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6694224 is divided by 2231253.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -54) + 11 + (-6 + 8 - -12) + -13.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -5*a, 0 = 2*a + 25*d - 22*d - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (11 - -8) - (-1 - (-1 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161654529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -131*i**4\/2 + 2*i**3\/3 + 297*i**2 + 107. What is the second derivative of c(v) wrt v?\nAnswer: -1572*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-223 - -100 - -200) + 1 + (14 - 2)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245157 is divided by 81688?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63024 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: Factor 8*z**5 + 3244471*z**4 - 44*z**3 - 3244441*z**4 - 6*z**3.\nAnswer: 2*z**3*(z + 5)*(4*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 3165?\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -4, 0.052, 0.5, 4\/313 in descending order.\nAnswer: 0.5, 0.052, 4\/313, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.64 times -0.06\nAnswer: -0.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 4, n: 1, x: 2}. Give prob of picking 1 n, 2 l, and 1 m.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - (-2 - -1). Suppose 3*s = -s + 112. Suppose -3*b = -b - s. Solve -2*a - b + 6 = u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 283132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**21*j*j\/(j*(j**(-2\/17)*j)\/j) assuming j is positive.\nAnswer: j**(376\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/10)\/(1\/5). Let s(l) = 3*l**3 - 10*l**2 + 4*l + 7. Let w(f) = f**3 - 5*f**2 + 2*f + 4. Let a(d) = -2*s(d) + 5*w(d). Is a(g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from ugqlgulc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 612963 - 612958. Let k = -0.9 + 4.9. Which is the nearest to k? (a) -3 (b) -2 (c) l (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/2 + 14512*r**2 - 319153*r\/2 + 145065 = 0.\nAnswer: 1, 10, 29013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let r(k) = -2*k + 6*k + k. Let l(o) = -4*h(o) + r(o). Let q(w) = 43*w**2 + w. Determine l(q(t)).\nAnswer: -129*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o)**50*(o*(o**(3\/10)*o)\/o)\/o**(2\/5) assuming o is positive.\nAnswer: o**(-991\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:04 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.2, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**3 - 6*d**2 - 6*d + 6. Suppose -7*y + 2*y = -10. Let s(x) = -3*x**3 + x**y + 5*x**3 - 3*x**3 - 6 + x + 5. Calculate -6*s(c) - z(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 5*c - 2*c + 5*c**2.\nAnswer: 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(((-2520)\/(-32))\/21).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from idxdddzdxixidzi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45410 (base 13) to base 11.\nAnswer: -86671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 3)*(22 - 3*n - 22) + (-3*n - n - 7*n)*(2 - 4 + 3))*(2*n**2 - 3*n**2 + 0*n**2).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/4 - 7*i**3\/3 - i**2\/2 + 6*i + 2. Let g be 4\/12*9 + -2 + 6. Determine l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.3 - -3.3. What is the biggest value in c, -5, 9, -0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 683 - -15. Let l = d + -697.9382. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 71, 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)*3\/(-3). Let d = c + 3. What is the second derivative of 3*p**2 + 2*p - 4*p - 5*p**d wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 1661.\nAnswer: -5, 21, 1661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1002 and 1096 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025883781 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4940406641 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8*n = -12. Find the third derivative of -23*i**3 + i**2 - 6*i**2 - 10*i**2 - 4*i**n wrt i.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 471458 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b - 5*d, 3*b + 5*d - 5 + 1 = 0. Suppose 4*w = -4, 0 = -4*v - 0*w - w + 39. What is the remainder when b\/4*(-39 - -1) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**3 - 3*a**2 + 3*a + 6. Let g(v) = -13*v**3 - 2*v**2 + 2*v + 6. Let x(h) = 3*g(h) - 2*j(h). Differentiate x(f) with respect to f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/6 + 5*y**3 + 3*y**2 + 40*y. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 6:20 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 2*h + 1. Let o(b) = 7*b**2 - 8*b + 6. Let n(u) = -o(u) + 4*s(u). Let a(k) = -660*k**2 - 121. Determine -2*a(f) + 121*n(f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 35*i + 37. What is n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 66, 61, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14 = -3*p. Suppose 29 = -4*c - 195. Let d = c + 69. Solve -4*a - 5*z = d, 5*z + 37 = p*a - 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821886761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17560*c**4 + 8596?\nAnswer: 70240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*((100\/165)\/(-5))\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*t - 6, 5*t + 509*g - 28 = 505*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(114)\/sqrt(6).\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 236*u + 1952.\nAnswer: -(u - 244)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/9))\/h*h)\/(h**(4\/11)\/h))\/((h*((h\/(h**(-22)*h))\/h)\/h)\/h*h**(-1\/12)) assuming h is positive.\nAnswer: h**(-7151\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176860504 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 + (-144)\/(-40). Suppose -3 = -z*o + 3. Suppose 2*i - 6 = t, -7*i + 2*t + 16 = -2*i. Solve -i*w + 2 + o = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -53, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 486 - 2*j**4 - 234 - 234 + 199*j with respect to j.\nAnswer: -8*j**3 + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 32*a + 13. Let v(x) = 60*x + 25. Give 5*r(c) - 2*v(c).\nAnswer: 40*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 25. Suppose 0 = 2*b + b + 12, b = 3*i + s. Let d(h) = -2*h - 2. Let g be d(i). Round g to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20332030213 (base 4) to base 2\nAnswer: 1000111110001100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-56)\/42)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37687 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 + 0.44451.\nAnswer: -1.25549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 901, 1797, 2691, 3583, 4473, 5361?\n\"Answer: -u**2 + 899*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqm when three letters picked without replacement from {m: 4, o: 1, l: 4, x: 2, w: 3, q: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.011245 + -0.011. Round q to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7375 + 0.2625. Sort o, 0.5, -7.48, 5.\nAnswer: -7.48, 0.5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077436834 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300))**2 + -2)*-4.\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260325288 is divided by 7419.\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/30 + 2*p**3\/5 + 9*p**2\/5 - 2*p + 8. Factor t(h).\nAnswer: 2*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -13 + -10 + 40 - -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -6 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1031 - -1033. Let o(a) = 0 - 2 - a**3 - a**2 + 4. Give o(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 80.98. Put 1, 2, z in ascending order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 4 (c) 160 (d) -0.1 (e) 76 (f) 0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 41490050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167902714 and 735770.\nAnswer: 839513570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38280027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(5\/6))\/y**(-1\/4))\/((y*y*(y\/(y*y\/(y\/((y*y**(-3\/11)*y)\/y))))\/y)\/(y\/y**(-5)*y)) assuming y is positive.\nAnswer: y**(943\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 2*k + 8 = -23*r, -5*k - 9 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001110 + 0?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 29 = 4. Let t = d - -42. Calculate the remainder when 132 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33520425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10178*42.753\nAnswer: -435140.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 1. Suppose 0 = 2*d + d - 36. Suppose -d*a + 7*a = 5. Determine l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p + 3*p - 4*p - 4*p + 14 as j*p + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 35. Let x be -2 + 12 + 0\/2. What is the highest common factor of f and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1647198 by 126.\nAnswer: -13073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/13*3)\/((-4)\/(-4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-90) + (-75)\/(-63)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15954217.\nAnswer: 15954217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -26 - (2 + -1). Let i = -25 - t. Let d(s) = 5*s + 4*s**2 + 12 - s**3 + 0*s**3 + 0*s**2 - 13. Calculate d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -0.5, 4, 7621, 7, -1\/5 in decreasing order.\nAnswer: 7621, 7, 4, -0.11, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26420 - -4?\nAnswer: -26413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 4*o = -32, 0 = b - 3*o + 19. Let a(c) = c**2 + 11*c + 10. Let r be a(b). Let j = 5 - r. Solve 5*v + 18 - 3 = -j*k, 3*k + 17 = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9409 divided by 229?\nAnswer: 9409\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -1\/14 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 86*t + 5. Suppose -q - 2*s + 10 = -5*s, -3*q - 3*s = -54. Let w = -6 + q. Is m(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18\/131, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, -3, 26, 5, -2, 164.\nAnswer: -24, -3, -2, 1, 5, 26, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/56*j**8 + 0 + 0*j**4 + 0*j**7 + 0*j - 1\/10*j**5 + 4*j**2 + 0*j**3 + 0*j**6. What is the third derivative of i(n) wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20157 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 176, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553557532.\nAnswer: 2, 11, 1553, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (3 + -1767 + 0\/(-8))?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.5 (b) 3 (c) -4\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = 43. Suppose -3*w + t = -w + 5*s, 4*s - 32 = 4*w. Which is the smallest value? (a) 3 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/3 - 1315*f**2 + 595047*f - 1781195\/3 = 0?\nAnswer: -4355, 1, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 3*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) 2 (c) 3\/2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 14*d**2 - d - 14. Let l be s(-14). Solve l = -5*y - 11 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -3.\nAnswer: -5, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*u - 52 - 26 = 0, -220 = -5*b + 5*u. Calculate the remainder when b is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674111 and 2257.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12 - 11)\/((-4)\/(-186)) and -97\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27244834, -27244833, -27244834, -27244837, -27244842, -27244849?\nAnswer: -27244858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2642275530\nAnswer: -2642275531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11)\/y**(-6\/13) assuming y is positive.\nAnswer: y**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 9) to base 2.\nAnswer: -11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 12163\nAnswer: 228\/12163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 5*y)*(-436 - 375 - 231 + 102).\nAnswer: 940*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12198 + -2385. Let h = c + -9263473\/944. Let b = h + 8509\/12272. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 376 in 2\/3, 0.1372, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195.63622 + 198.06. Let v = b + -2.42. Round v to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 + 3*v + 4. Let h be k(5). Let w = -9 - -6. Let n = w - h. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c + 22. Let t(m) = 15*m - 45. Let s(j) = 9*o(j) + 4*t(j). Let a be s(3). Factor -9*h**3 - 18*h**4 + 39*h**4 + 3*h**2 - 18*h**4 + a*h - 6.\nAnswer: 3*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 4*w - 3. Let f be c(6). Let k = 201 - f. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 825406803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7648, -7646, -7644, -7642, -7640?\n\"Answer: 2*b - 7650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - y + 2, -4*u = 3*y + 2 - 6. Let g = -3 + 2.7. Which is the biggest value? (a) -4 (b) u (c) 1.6 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6884, 8313, 10696, 14033?\n\"Answer: 477*v**2 - 2*v + 6409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b74 (base 12) in base 9?\nAnswer: 20787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + 4*sqrt(28)\/sqrt(4)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15578, -21735, -27916, -34133, -40398?\nAnswer: -46723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.23, 0.56, 1\/200?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2 + 0*y**2 - y**2 + 0 - 6*y - 1. Let g = -24 - -18. What is the units digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -211\/4. Let d be 8\/12 + 872\/18. Let n = -49 + d. What is the closest to g in 5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 603 = -3*j + 213, -3*j = -5*q + 399. Which is bigger: j or -129?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*o - 3*o**3 - 2*o**3 + 58110*o**2 - 58118*o**2 to s*o**2 + u*o + b*o**3 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1) - (-1)\/((-6)\/(-30011)). Let d = x - 5015. What is the common denominator of -23\/2 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 18. Let q = -9 - t. Let k = q - -2.2. Which is the third smallest value? (a) -3 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521018*k + 5*t - 5 = 521023*k, -5*k = -16*t + 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.2 * 0.4.\nAnswer: 7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390 = -79*j - 353 + 578 + 2256 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-6) - 5\/(-30). Let o(z) be the first derivative of x*z + 0*z**3 + 4 - 9\/2*z**2 + 0*z**4 - 1\/5*z**5. Find the second derivative of o(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + y + 0*y)*(-16*y + 8*y - 13*y) in the form q + x*y + z*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/5 + 292404*s\/5 - 21375024804\/5 = 0.\nAnswer: 146202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100577 (base 8) to base 6\nAnswer: -413251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 183. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 175\/55) + 5316\/(-44) + -6. Is -118 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/20)\/(3\/10). Put o, 1, 2\/5 in descending order.\nAnswer: o, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2*t**2 - t**2 + 11)*(-5*t + 5*t**2 + 5*t) + 5*t**4 + 2*t**2 - 2*t**2 + (2 - 2 + t**3)*(-4*t + 5*t + t) + 0*t**3 + 0*t**3 + t**4.\nAnswer: -7*t**4 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43.168 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 11141*o**2 + 4*o + o**4 - 4*o - 4*o**3 + 11143*o**2 as w + d*o + y*o**2 + t*o**3 + m*o**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from frrrrffrfr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10898278355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = 5*n, 0 = -2*c + 4*c + 3*n + 7. Let g = c - -9. Suppose z = -g*v + 62, 5*z = 3*v - 6*v + 38. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 8*s. Which is smaller: -2\/205 or s?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-446)\/10626 + (-408)\/(-14076))*(2 + 0)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1188*c**2 - 40*c**3 + 50*c**3 - 7*c**3 - 449*c**5 - 2*c**4 - 3*c**3 wrt c.\nAnswer: -26940*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 7 + 5)*(4 - 3 - 3)*(12*k + 4*k - 5*k) as s + n*k and give n.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 3*t**2 - 5*t + 2. Let k be b(3). Suppose 74 - k = -6*c. Is c bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9\/322, 3, -44, -0.3, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*n - 3*n + 20 = 0, 4*v + 3*n = 98. Suppose p + v = 28. Calculate the greatest common divisor of 38 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.7 - 70.7. What is the fourth biggest value in 1, x, -5, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12.7, -1, -113\/9?\nAnswer: -113\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4768.4147 + -4768. Round w to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, o: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14 - (-4)\/(-2) and ((-5)\/(60\/63))\/(11\/6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*a + 69 + 26 = 0, 3*g + 2*a = 95. Let z be 0*3\/6 + 1. What is the remainder when g is divided by (10 - (-1 + 0)) + z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*n - 10174, 0*c + 2*c + 2*n - 4072 = 0. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -38033.\nAnswer: -38032.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose -3*w + 2*o - 3 - 7 = 0, -5*w - 5*o = 25. Sort b, -2, w in descending order.\nAnswer: b, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25673.6+-217.5\nAnswer: -25891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3947729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/7)*a*a)**(6\/11)*a**(1\/16)*a**4\/a assuming a is positive.\nAnswer: a**(5405\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10 + -2)\/((-4)\/(-10)). Let r be n\/(-5) - (-504)\/70. Solve 0 = 5*a - y - 0*y + r, -a - y - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6721 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 17*x**2 - 9*x - 135. Let v be s(-17). Let m(t) = -1 + 3 - 4 - 10*t. Let p be m(-2). What is the greatest common divisor of v and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:34 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6110 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000147967788 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545477.\nAnswer: 3, 79, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24150, -48440, -72704, -96942, -121154?\n\"Answer: 13*r**2 - 24329*r + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 16*c**2 + 2. Suppose g = -0*g + 4. Suppose k = -g*k - 80. Let l be y(k). What is the highest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -21, -54, -101?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1007452.08 nanoseconds to days.\nAnswer: 0.000000011660325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 24\/212065 and -1.58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 + 6*q - 3. Let x(k) = -k**2 - k + 1. Give -r(g) - 4*x(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*t - 496, -6*t = -2*c - 3*t + 334. Let z = -80 + c. Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s - 232. Let r be l(-39). Let u be 0\/(2 + r + -6). Solve u = 5*i + 13 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/8)*q)\/((q**0\/q)\/q))\/(q**(5\/2)*q*q**(-3\/5)*q)*((q*q**9)\/(q\/(q\/(q**(-2\/11)\/q))))\/((q*q**(-1\/3)*q*q)\/(q*q**(-4\/7))) assuming q is positive.\nAnswer: q**(77789\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-30)*(-18)\/(-294)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77498528 is divided by 8748.\nAnswer: 8744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 79*l**2 + 4561*l - 4834. Calculate y(-118).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 times -0.7?\nAnswer: 487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, 53, 6, -4 in increasing order.\nAnswer: -217, -4, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350361*z**3 - 335*z**2 - 350365*z**3 + 335*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 748 - 673. Let p = -7 + 13. What is the third derivative of 12*a**p - 75*a**5 + w*a**5 - 16*a**2 wrt a?\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*h + 8 = 0, 4*h - 8 + 5 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 8*p + 8. Let r(w) = 1. Let s(d) = -d + 1. Let u(j) = -4*r(j) + 4*s(j). Let c be u(-2). What is the units digit of k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 797686484 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 31 = -26*v + 25*v + 3*l, -3*l = -12 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 869 divide 7978289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14246.079 - 416677\nAnswer: -402430.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/52 or 0?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077 = -177*o + 1224 + 3186 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3879 and 3017.\nAnswer: 27153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*d + 18, -3*w + 13 = -2*w + 4*d. Let f be (0 + w)*17\/(-153). Is -8 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.07 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 867 + -1274. Let o = n + 430. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3 + 3473392*n**2 - 6946787*n + 3473394 = 0.\nAnswer: -3473394, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53599076 and 9462.\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19550\/161)\/34 - (-4)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 135*c**4 + 35*c**3 - 35*c**2 - 35*c + 255. Let k(s) = 8*s**4 + 2*s**3 - 2*s**2 - 2*s + 15. Let m(a) = 35*k(a) - 2*u(a). Differentiate m(y) wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014629333 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + u**2 + u + 5*u**2 - 4*u in the form y + p*u + d*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8) + (-84)\/144)\/(11\/(-3)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {w: 1, v: 2, b: 2, y: 6, m: 1, f: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20558512 by -2.\nAnswer: -10279256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/100296668?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + 4)) + 1 - (186 + -167).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 5. Let b(x) = -7*x**3 + 2*x - 1. Let u be b(1). Calculate the remainder when i(u) is divided by 660\/50 - 1\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31468 + 1258803\/40. Let a = -11\/5 + p. Sort a, 4, -5 in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 47*q**2 - 3*q + 11. Let l(a) = 16*a**2 - a + 4. What is -8*l(w) + 3*t(w)?\nAnswer: 13*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {z: 1, o: 4, k: 1, s: 1, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20122001002 (base 3) to base 10\nAnswer: 130520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-3)*h**(-1\/59) assuming h is positive.\nAnswer: h**(-119\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -26. Suppose -3*y - 11 = 5*o, 10*o - 20 = 6*o. Let u = y - l. Sort 3, -3, u in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*h + 9*c + 423, -2*c = h + 137. Let p = h + 1540. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 21 = -4*i, 2389 - 2387 = 2*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 10*m**3 + 0*m**3 - 1.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + f = -3, 0 = p - 3*f + 7*f - 1. Let n(r) = -r - 8. Let g be n(-10). Sort g, 5, p in descending order.\nAnswer: 5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 3*d**2 - 6. Let r be (-3*20\/(-6))\/2. Let o be v(r). Find the second derivative of 5*k - 38*k**4 - 3*k + o*k**4 wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5794, -5790, -5782, -5770?\n\"Answer: 2*y**2 - 2*y - 5794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.84. Let g = t + -0.5. Which is the smallest value? (a) -0.3 (b) g (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 11*u**2 - 6*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q + 5. Let m(h) = -8*h + 6. Let u(c) = -5*m(c) + 6*v(c). Let b(z) be the second derivative of -1\/3*z**3 + 0 - 8*z + 0*z**2. What is b(u(a))?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321445 - 2195 = -10*b. Is (-1)\/(b\/(-5321) - 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let h(o) = -11*o + 19. Let b be 70\/(-12) + 4\/(-24). Let w(z) = 5*z - 9. Let y(p) = b*h(p) - 13*w(p). What is -5*a(g) + 4*y(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 + 5\/21*v**3 - 4\/7*v**2 - 177*v - 1\/42*v**4. Determine l, given that n(l) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.7 + 3.92. What is p rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208384*h**3 + 5234*h - 5234*h - 40155*h**3.\nAnswer: 168229*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 263920280?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:20 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2813 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1311 + 1362. Suppose -y*q + 24*q = -25*q. Let q*k**2 + 4\/5*k**4 + 0*k - 4\/5*k**3 + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*k + 19 = 7, -4*x - 4*k = -48 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -6) + -8 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4072668, -8145368, -12218068?\n\"Answer: -4072700*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1766376 + 7028.\nAnswer: 1773404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 97. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*i - 2*m, -5*i - 3 = 3*m - 31. Let n be i\/(-20) - (-88)\/20. Let p = 1954 + -1949. Solve 4*o - 20 = -n*k, p*o - 5*k - 14 = -39 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247.14547 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 465, 700, 935, 1170?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256256 = 19898*f - 201398 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 174474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -3 + 3\/1. Suppose 0 = l*w - u - 1297, -4*u - 267 = 5*w - 6*w. List the prime factors of w.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*g = 10 + 26, g + 29 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/9 - -49\/36. Let z be 20\/110 - (-30)\/77. Let t = 449 - 454. What is the closest to u in -0.5, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2475 and 156420.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from cjcjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 34 + 30 = 0. Solve k*b = 7*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in 2, -0.025, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -0.3, 0.5, 0.2, -59\/10 in decreasing order.\nAnswer: 16, 1, 0.5, 0.2, -0.3, -59\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 26*h**2 - 50*h - 43. Let n be v(-24). Solve 0 = 4*p - 4*u - 24, p + n*u = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(3\/6). Let v = -2598 - -2594. Is g < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from yyme.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s + 17. Determine o(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/1189 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 92.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2823 and 4479.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - q - 3. Let l(y) = y + 2. Determine -2*c(o) - 3*l(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 11:44 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 + 3)*(530 - 531).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 2*p - 2430, 0 = -5*f + 2*p + 12158. What is the highest common divisor of 128 and f?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 3*k = 24*m - 539935, 3*k = -2*m + 269969. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -292, -166 in descending order.\nAnswer: -1, -166, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 3. Let y(d) = -7. Let p(m) = 15. Let w(b) = 4*p(b) + 9*y(b). Let h(g) = -3*w(g) - 3*x(g). Let q(v) = 5*v**2 + 0*v**2 - 4*v**2. Give q(h(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45236*w - 45476*w = -8640 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2 - ((-1141560)\/54 + -13 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 16 + 31 = 0. What is the remainder when 10 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 24*f**2 + 3*f + 4. Calculate p(10).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**23)\/f)\/f*f*f**(-1\/29))\/(f\/(f\/f**(-3)))**(5\/3) assuming f is positive.\nAnswer: f**(811\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*i**2 - 2 + 27*i + 2 + 43*i.\nAnswer: -97*i**2 + 70*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -79793400 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (15 + -10) - 10) + (3 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 33 - 36. Let f(u) = u - 2. Calculate f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 59. Let n = -24 + k. Let l be (-6)\/21 - (-148)\/28. Solve -25 = -l*a + 3*d, n*d + 9 + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0085 + -220.0085. Let b = y + -32. Let u = -251.9999883 - b. Round u to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**4 + 0 + 2*a**2 - 1)*(-2*a + 0*a - 5*a).\nAnswer: 7*a**5 - 21*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*r - 4 = 0, 2*k + 5 + 9 = -4*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 - 2*k + 15*k**3 + 70 - 38 wrt k?\nAnswer: 45*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 838369.8 milligrams?\nAnswer: 838369800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(0 - (-28)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14124343 (base 5) to base 14\nAnswer: 3b0bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)*l*l**(-1\/6)*(l*((l\/(l*l\/(l*l**(-7)*l)*l))\/l)\/l)**4)**(-49) assuming l is positive.\nAnswer: l**(3045\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37.4 times -0.08\nAnswer: 2.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.54 - -4.04. Put i, 1\/4, 5\/6, 0 in decreasing order.\nAnswer: 5\/6, 1\/4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 265*r + 132*r + 133*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r**(-4))\/(r**(-2)*r*r**6))\/(r*r*r*r**(-1)*r*r\/r**2*r*r**(-7)\/(r*r*r**(-4))) assuming r is positive.\nAnswer: r**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/7 + 3*s**3\/7 + 15*s**2\/7 + 9*s\/7 = 0. Calculate s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**2 + 5*q**2)*((-q - 3*q + 2*q)*(2 - 1 + 1) + q - 2*q + 2*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -277*o + 86. Is z(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -1\/660*m**6 + 0*m - 3\/2*m**2 + 1\/165*m**5 - 1\/132*m**4 + 0*m**3 - 4. Let w(n) be the second derivative of o(n). Factor w(z).\nAnswer: -2*z*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119767553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9387323 and -1.\nAnswer: 9387323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 9*r**2 - 22*r - 13. Suppose 143*m - 2453 = -62*m - 18*m. What is j(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 8*t + 10. Let m be f(-7). Let q(k) = -2*k**2 + 4*k - 2. Let l be q(2). What is the units digit of (m - -3) + 1*l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {n: 17, g: 2}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/26*(-4394)\/(-52)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/3*31\/(-4). Suppose -r = -3*t + 4*r + w, 0 = 3*t + 2*r + 4. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -2304, -3501, -4716, -5955, -7224, -8529, -9876?\nAnswer: -11271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21196 - 80042 = -6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -314, -169, 420, 1453, 2930, 4851?\n\"Answer: 222*h**2 - 521*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.94 and -60891.\nAnswer: 544365.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -523655927, -1047311855, -1570967783, -2094623711, -2618279639, -3141935567?\n\"Answer: -523655928*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 - 4. Let m = 0.02 - 0.01. Let r = m + 1.99. What is the closest to 1\/2 in r, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**3 + 26*l**2 - 26*l**2)*(3*l + 3 - 3).\nAnswer: -57*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.82 - -0.18. Let f = 8 - i. Which is the third biggest value? (a) f (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 389*q**3 - 424*q**3 + 1.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 70, 153, 266, 409?\n\"Answer: 15*b**2 + 8*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 times -1.81?\nAnswer: -1395.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 15*s + 2*s - 18*s.\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -26.89. Let x = 0.39 - g. Put -1, x, -1\/3 in ascending order.\nAnswer: -1, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 26. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 0 + (-171456)\/9776.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36264 = -4*g + 5232. Let u = g - -1514. Let r = -11744 - u. What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/11, 0.3, 3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + -3 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 3 + (-45 - -30).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = -19*c - 23*c + 1092352. What are the prime factors of c?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -p + 20 - 0, 0 = -p - i + 20. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01592376108 rounded to 5 dps?\nAnswer: -0.01592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 1259384. Let o = k - 5974928\/19. Let a = -376 + o. What is the biggest value in -2\/5, -1\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4 and 1\/5 - 481\/(-2990).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (344\/(-86))\/((-2)\/(-3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 176.8. Put u, 1, -2, 0 in increasing order.\nAnswer: -2, 0, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409 - 2038\/5. Let v = 9\/5 - c. Let 8\/5*y**3 + 4\/5*y + 14\/5*y**2 - v = 0. Calculate y.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 676492 = 86736. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787c (base 13) in base 7?\nAnswer: 100036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-63) - (-4)\/(-7). Let d be ((-6)\/15)\/(-4*1\/(-300)). Let l be 3*((-2)\/(-20))\/(d\/20). What is the smallest value in l, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585476549 - -53864756271\/92. Let p = -9932 + h. What is the common denominator of -59\/40 and p?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**4\/8 - 2*t**2. Let a(k) = 8*k**2. What is a(b(z))?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 2*m**2 + 4*m - 11. Calculate g(9).\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7926379 less than or equal to -7926380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004843247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(4\/3)*a)\/a))**(-43)\/(a*a\/(a*(a\/a**(-2\/9))\/a*a))**(-20\/7))**(-18\/7) assuming a is positive.\nAnswer: a**(-7144\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3018 - 9688. Let o = 2249 + c. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -182*m - 2542. Calculate d(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269312217 - -269716255.869. Let o = -404240 + k. Let p = o + 201. What is p rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let w = -147115 - -147117. Let p = 0.5 + -0.9. What is the closest to -3 in w, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 - v - 1. Let c(t) = t**3 - 4*t**2 - 5*t - 5. Let s(b) = c(b) - 2*f(b). Let l be s(-2). Factor 4 - 4 + 4*w**3 - 5*w**l - 2*w**2.\nAnswer: -w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - 4*p**3)*(-3*p + 0*p + 2*p + (4*p + 0*p - 2*p)*(-2 - 2 + 1) + p + p + 0*p + 0*p + 0*p + 2*p + (-p + 4*p - p)*(2 - 1 + 1)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + g - 20 = -3*g, 5*g - 7 = k. Let y = 2 - 0. Let h be -1 + 0 - (-27 + y). Calculate the highest common divisor of k and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eggg when four letters picked without replacement from {g: 7, e: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -3, -1\/6, -4, -9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {h: 1, d: 1, a: 1, b: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -10*k**2\/11 - 399*k\/11 - 351\/11 = 0.\nAnswer: -39, -9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1342)\/54 - (-475)\/95. Which is smaller: -20 or j?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 35. Let z be (3\/(-6))\/(2\/u). Let b be (-5)\/(-20) + z\/4. Solve -t - 2*n + b = 5, 3*t = -5*n - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - 1. Let p = -25 + 15. Let y be 3\/(-1 - p\/4). Let u = y + -1. Give b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from mkpnkkkmnjnnmppne?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = 4*w. Find the first derivative of -w + n**2 + n**2 + 4 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1222 - 606. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - -13) + 54 - 12) + (60 - 50)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 + 11*w**3\/2 - 5*w**2 - 11*w\/2 + 21\/4.\nAnswer: -(w - 21)*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(9\/2))**(-5)*(j*j\/j**1*j)**(-30))**(-17) assuming j is positive.\nAnswer: j**(1445\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -26. What is the lowest common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0*(-3)\/(-12))*0. Suppose 406*p - 401*p - 8855 = g. List the prime factors of p.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 6. Suppose -5*p + 17 = -x, -1 - 2 = -5*x + m*p. Solve -13 = x*g - 2*r + 6*r, -r = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13572\/7*h - 15349932\/7 - 3\/7*h**2 = 0 for h.\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*g - 16, 2*s + g - 3*g = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36767, 36722, 36699, 36710, 36767?\nAnswer: 36882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 9 = 18*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843\/2*2 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, 6, 56, 158, 330, 590, 956?\n\"Answer: 3*x**3 - x**2 - 2*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/60 - t**5\/6 - t**4\/12 + 5*t**3\/6 + 149*t**2. What is y(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 969677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 5*m, -2*m = -0*m - 6. Suppose -4*y + 22 + 28 = -r, i*r = 4. Let n = y + -1. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-284)\/(-40)*2\/(-6). Let n = s - -13\/6. What is the closest to 2 in 3\/7, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 472 (b) 0.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from klmkxmklszkxmxm.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69115827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11850, -26341, -40832, -55323, -69814?\nAnswer: -84305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-1\/9)\/(z**(2\/9)\/z**(2\/7)))\/((z**(2\/9)\/z)**(1\/7)*z*z\/(z*(z\/z**8)\/z*z)*z**(-2\/23)*z) assuming z is positive.\nAnswer: z**(-12340\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s = 241*s - 622 + 3358 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(88\/66)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 20604896 - 20604896.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -15 + 16 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:17 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-5))\/((-3388)\/242))\/(11\/((-539)\/42)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 5, n: 1}. What is prob of picking 2 r?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 2b72310?\nAnswer: -2b7230c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26183946 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 2*l**5\/15 + l**4\/24 - l**3\/3 + 7*l**2. Calculate the remainder when 20 is divided by r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22659399 divided by -359673\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/(-57))\/((-1)\/(-6) - 0). Suppose -7*i = -11*i + 7*n + 1189, n - 617 = -t*i. Calculate the remainder when i is divided by 100.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (562 + -564)*((-4)\/((-16)\/28) + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2516633 by 3.\nAnswer: 2516633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 + 2481*i\/7 - 2142.\nAnswer: 3*(i - 6)*(i + 833)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -59.949. Let u = a - -5.051. What is the second biggest value in -0.5, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/120 + w**4\/24 - 43*w**3\/6 - 27*w**2. Let k(b) be the first derivative of y(b). What is k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let j be 36\/(-17) - (1 + r). Which is the closest to 2\/3? (a) 0.3 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -80*o**2 + 799*o + 5632. What is z(-7)?\nAnswer: -3881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-14)\/(-10). Suppose -27*s - 10802 = 6046. Let c be s\/299 - (t + -1). Is c greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 36*m - 3238. What is the remainder when 1580 is divided by f(90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43098 by 22.\nAnswer: -1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*u - 2*y + 8, 3*u = -4*y + 10. Let z be (((-12)\/(-2))\/u)\/3. Let q be 3 - 1 - (z + -2). Solve q = -r + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q = 5*n + 35, -3*q = -n - 20. Solve -5*a = 3*i + 16, -q*i + 1 = -2*a + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15929, -31875, -47841, -63833, -79857?\n\"Answer: -l**3 - 4*l**2 - 15927*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**2 + 2*u - 24. Let w(c) = -4*c**2 - c + 8. Let p(t) = -3*f(t) - 10*w(t). Solve p(x) = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 + 16*x**3 - 55*x**3 + 20*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4, -2, 189\/8, 3\/155, 0.2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53252119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b - 7*b**2 + 91*b + 31*b.\nAnswer: -7*b**2 + 100*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyoyooaoeoaaovyo. Give prob of picking 2 o.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let a = 8 - 0. Suppose -f = f + a. Give w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -56) + -36 + -5 + -6 + 8\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 24, 85, 200, 387?\n\"Answer: 3*k**3 + 4*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q - 13*q - 42 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 27*z - 2092. What is b(78)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348763.5926 + 348456.6. Let o = l - -307. Round o to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 + 2*t. Let o(s) = -s**2. Let c(a) = l(a) + 4*o(a). Suppose 4*w + 3 = 5*x - 14, w + 4*x - 1 = 0. Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/5 + 509*b**3\/5 - 14560*b**2 + 1890832*b\/5 + 4010112 = 0.\nAnswer: -8, 45, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 20 - 8. Suppose 5*f = -25, -c = z*c + 3*f - 3000. Suppose 5*h = -5, -5*n = -n - h - c. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:40 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 98*m**2 - 55*m - 4078. Give g(97).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59968 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/3 + 3*f**2\/2 - 12*f. Let j be m(-1). Suppose 4*y = 7 + j. Solve -q - q - 5 = y*u, -3*u - 8 = 5*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.537963565 to 5 decimal places.\nAnswer: -0.53796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*b + 9, 3*b - 14 = -3*o - o. Suppose 3*d = -3*a - 18, -4*d + 0*d + 5*a = -12. Put 4, d, o in decreasing order.\nAnswer: o, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 0 - (1207 + -1155).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.045048 - -0.045. Round u to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31481 - 31484. Put 2, -5, -4350, b in descending order.\nAnswer: 2, b, -5, -4350","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/12 + h**3 - 2*h**2 + 4*h. What is the tens digit of c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 12*k**2 + 1925*k - 1928*k as b*k + j*k**2 + h and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*s - 13 = 0, 12*w - 4*s - 27 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i + 1. Let h(o) = -17*o**2 - 5*o + 3. Determine h(j) - 5*w(j).\nAnswer: -12*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0293369 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242324 (base 7) to base 6.\nAnswer: 3244410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - (3 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 664 = 22. Suppose 5*n + 5 = 0, 3*h + 7*n - 11 = 3*n. Calculate the remainder when d is divided by ((-12)\/30)\/((-4)\/66)*h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 5*s + 33. Let o(h) = 8*h - 2. Let t be o(2). Let u be 2\/7 + (-4)\/t. Sort s, 5, u.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.06786946186 and -0.27.\nAnswer: 0.79786946186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.034, 2\/5, -3, -4, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -m + 16 + 57, 71 = 4*a - m. Let r be (-2)\/(-7) - 80\/(-14). Let w(u) = 5*u**2 - 9*u. Let b be w(r). What is the greatest common factor of a and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578491, 578513, 578549, 578599?\nAnswer: 578663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 200849 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 162\/405 - (-4269)\/15. Solve 5*x = 280 - g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.08554, 30, -0.3, 1?\nAnswer: 0.08554","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19*i + 12239 = 15*i, -3*i - 36690 = -3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*r - 3 - 25, 3*o + 5*r = 38. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051751074 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*c - 287*c + 147*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 1 (b) 1\/1217 (c) 0.4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 10*x = -g - 14, -3*x + 2*g - 11 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.226 times -4\nAnswer: 0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let f = 13.1 + -13. Let h = f + 4.9. Sort o, h, -1 in descending order.\nAnswer: h, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22 and -71\/296098.\nAnswer: 296098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 88 = -0*z - 5*s, 3*s + 137 = 2*z. Let h = z + 14. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzbzzzbzzzz. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 times -11\nAnswer: 8.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/(-3)*9\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 - -73. Suppose 4*t - 5*d = 238, -4*t + 208*d = 211*d - 190. Let m be (t\/(-6))\/(56\/h). Is 7 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/4*u**5 - 3*u + 2\/3*u**3 - 3\/2*u**2 + 0*u**4 + 0. Let y(i) = -i**3 - i + 1. Let r = 17 + -14. Determine r*y(d) + s(d).\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 1, e: 4, n: 1, j: 2, l: 2}. What is prob of sequence lbm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 72*h + 487. What is f(26)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 1. Let s(f) = -103*f - 1. Let r be s(-1). Let t(o) = -4471*o + 120711. Let b be t(27). Let y(z) = 16*z - 17. What is b*y(n) + r*c(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 6:01 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-2)\/sqrt(7) + 1 + sqrt(180))**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194 - 1. Let f = v + 359. Calculate the remainder when f is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9.33. Let p = -0.304 - s. What is p rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - a - 9, 3*l - 26 = 5*a - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i**2. Let b(u) = -168 - 182 - 66*u - 187 + 539. Give v(b(x)).\nAnswer: -65340*x**2 + 3960*x - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 278*r - 258*r - 560. Let k be 4\/(-24) + (-149)\/6. Let h = r + k. Solve 4*v = -h - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 44*c + 197*c + 77987 - 77987.\nAnswer: 132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 381669901 + -381669888.00000184. Let i = -13.049 - -0.049. Let y = i + q. What is y rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -458*o + 1055. Determine r(2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 0 - 1*sqrt(19)*-5.\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/23706 and 72.4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(468)*2)**2 + sqrt(39)\/(sqrt(12)\/sqrt(4)) + 0).\nAnswer: 2*sqrt(13) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 2*q - 8, 5*q = 3*h + 15. Suppose -5*l - 5*a = -1365, h*l - 3*a = l - 271. List the prime factors of l\/10 - 4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*r + 2*r, 5*m - 21 = -2*r. What is the second derivative of -46*t + 760*t**m - 760*t**3 + 49*t**4 wrt t?\nAnswer: 588*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502770302 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7625? (a) -0.4 (b) 2\/59 (c) 45 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g - 52*g + 17*g - 150 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 1)*(1 - 1 - n) + 4*n + 3*n - 2*n**2 + 5 - 6.\nAnswer: -n**2 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241988445?\nAnswer: 5, 71, 3498559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-198)\/11)\/(-36)*14?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-72))\/(90\/684*(-14)\/35).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39161, 39004, 38715, 38270, 37645, 36816?\nAnswer: 35759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 82. Solve -7*g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3045\nAnswer: 1\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/((-5)\/(-35)). Is g > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -0.2, 13, 0.1, 4, 1\/5 in decreasing order.\nAnswer: 13, 4, 1\/5, 0.1, -0.2, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = -3*b, -3*j = -j + b + 5. Let o be (-6)\/4*160\/(-24). Suppose 4*w = -w + o. Sort w, 4, j in ascending order.\nAnswer: j, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 50140004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/36 + 0 + (5\/(-27))\/(1630\/(-1956)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(147) + 0 + sqrt(147))**2 + (-4*(sqrt(147) + -1) + sqrt(147))**2)*-1 + -5.\nAnswer: -840*sqrt(3) + 7425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 7905*v**2 + 1010879*v - 1002975.\nAnswer: (v - 7775)*(v - 129)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486805.6354 + 486738. Let z = -0.0354 - d. Round z to the nearest integer.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*v. Let k(p) = p**2 - p. Let l(h) = -8*h**2 + 13*h - 6. Let q(o) = -6*k(o) - l(o). Determine q(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose -i - 3 = 2*i. Let u be (-20)\/6*(-4 - i). Let n(o) = -o. Let y(w) = 12*w. Give s*y(q) + u*n(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 4*n, 13891 = -2*n + 13895 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Let a = 30 + -121\/4. What is the closest to t in a, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpgg when four letters picked without replacement from gpgp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.02 - -6. Let n = 0.52 + z. Suppose -4*m - 3 = o + 5, -4 = 2*m + 3*o. Sort 0, m, n in ascending order.\nAnswer: m, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446156587 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.9 - -11. Let h = 1.0999917 - r. What is h rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4\/3)*i*i*i**(-8)*i*(i**(-16)\/i)\/i*i*i\/(i**11*i*i))**(-24))**(-31) assuming i is positive.\nAnswer: i**(-23560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-35)*p)*p**38)\/(p*p*p**(-1\/15)*p)**(-5\/6))**(-2\/11) assuming p is positive.\nAnswer: p**(-1358\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44493851*d - 149279014.\nAnswer: -44493851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/74124 and -65\/10266?\nAnswer: 4373316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214022819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 + 6*t. Let r be s(2). Suppose 3*g = -0*g + 15. Suppose -i - r*i = -g*x - 200, -2*x = -5*i + 191. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341552448?\nAnswer: 2, 3, 592973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-1))\/(1\/(-3)). Let q = x - 3. Solve 0 = 2*i - q - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from fmmmfvvvvmfvvmmvvvm.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(((-3)\/3)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311.5302 rounded to one decimal place?\nAnswer: -311.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13758 = 2*b, 61*p + 5*b = 59*p + 6851. List the prime factors of p.\nAnswer: 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (4 - (7 + -3)) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w - 4\/3*w**3 + 0*w**2 + 10\/3*w**4 + 0.\nAnswer: 2*w**3*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1467, 2\/5 in descending order.\nAnswer: 2, 2\/5, -1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -2*r**2 + 21*r + 50653\/45*r**3 + 0 + 37\/150*r**5 - 1369\/60*r**4 - 1\/900*r**6. Suppose p(i) = 0. Calculate i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448 - 104376*i**3 - 237 - 1958*i**4 + 104375*i**3 - 5*i wrt i?\nAnswer: -23496*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -2, -35, -4, -181?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -34. Suppose 6*l + 1 = f. Solve -4 = l*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 593*p - 1044. Let y be m(9). Calculate the highest common divisor of y and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.7. Let s = -2.2 + y. Let d = 0 + -0.4. Which is the second smallest value? (a) d (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -19*f - 1066. Suppose 5*h + 0*t + 2*t + 207 = 0, -h + 2*t = 51. Let n = f - h. Is 1\/2 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 7, 2\/7, -1\/2.\nAnswer: -1\/2, -0.05, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 453531?\nAnswer: 453522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.212.\nAnswer: -0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-22 - -94 - 39).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -39 + 1\/(-2)*0. Let t = 49 - 72. Let r = t - y. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 22*k. Let w = -35\/34 + 26\/17. Factor -1\/2*g**4 - 1\/2*g + w*g**2 + 1\/2*g**3 + k.\nAnswer: -g*(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a + 50. Let k be p(0). Let v be 480\/4*50*k. Round v to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 15 + 3. Let l(b) = 3*b**3 - 2*b**2 - 4*b + 8. Calculate the remainder when l(d) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 9*l - 34. Give f(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 162\/13, -58, -0.5 in decreasing order.\nAnswer: 113, 162\/13, -0.5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(72) - (3 + 2*sqrt(72)) - sqrt(72)))**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 2\/7 (c) 0.19 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60207 and 5593.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(0 - -3). Let g = p + 7. Suppose 3 = 2*n - g. What is the greatest common divisor of 44 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 139? (a) -0.5 (b) -4 (c) 5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3745 and 4025?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 9, 5*k + 0*k - s - 53 = 0. Is 12 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -1226?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48\/59 in 1\/5, 36, -4, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -1\/9, 1, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -4)\/4*-1*132\/572*13. Let w(n) = 2*n**2 - 5*n - 4. Let t be w(4). Let u = t + -5. Solve o = -u*q - 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930653721.\nAnswer: 61, 3121, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5 - 138*p**4 - 6105*p**3 - 84700*p**2 = 0.\nAnswer: -55, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12830.\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*y + 56*y + 19*y + 46*y + 0*y.\nAnswer: 162*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 32 + 4 = 0. Let g be (-4)\/(j\/12 - 6\/(-12)). Suppose 4*u + g = 266. Calculate the remainder when u is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1416, 2836, 4256, 5676, 7096, 8516?\nAnswer: 9936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 47515*o**2 - 190072*o + 190076.\nAnswer: (o - 2)**2*(o + 47519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 6. Let f be z(-3). Suppose -3*v = -n - 33, f*v - 48 = 2*n - 6*n. Is 12 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-121) - (4 + 425\/(-110))*-62. Suppose 3*u - 206 = 2*r, -u = -6*u - 2*r + 370. What is the highest common divisor of u and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 4 - (-29 + -11 + 24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55654069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j**2 + 1)*(0*j + 0*j - 2*j) + 4*j**3 + 0*j**3 - 2*j**3 - 44*j**2 + 7*j**3 + 44*j**2.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1309.\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*(-1)\/(-4). Let w be (-70)\/4 + -23 + 28. Let o = w + 167\/14. What is the second biggest value in o, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by -5.\nAnswer: 364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (56 - (258 + -47)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 21430 = -r + 26*i, -42867 = -2*r + 5*i. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 4*k - 5. Let o be a(7). Suppose 0 = 3*w - o + 4, -2*w + 116 = 3*q. What is the remainder when q is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 23. Let b be g(5). Suppose 319 + 5 = b*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 6*x**2 + 11*x - 7. Let c be b(4). Solve 0 = -c*q - 0*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103*119040.62.\nAnswer: 12261183.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -601 + 605. What is the nearest to 0 in t, 0, -3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let g(b) = 502477*b**2. What is h(g(i))?\nAnswer: 504966271058*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a - 3. Let o(k) = 100*k - 34. Let v be ((-261)\/27 - -9)*(-8 - 1). Calculate v*o(g) - 68*d(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 0. Let b = f - -1. What is the remainder when 28 is divided by ((-2)\/(-5) - b)*25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from {o: 2, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 377011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 40 = 4*y + 10, -2*y = -10*h + 4. Solve -k + g = -10, 0 = h*k + 5*g + 4 - 10 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/17, -1917, -113?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpoaaoopqmoq. What is prob of picking 1 a, 1 q, and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.555 + 0.755. Let g = 0.1 + 0.2. What is the nearest to 0.1 in -1, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 2*l**3 - 2*l**4 + l**4 + 1 - 7 to the form z*l**2 + h + j*l**4 + n*l + i*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -14. Suppose -z - 6 = -y. Let r(c) = c - 1. Let v be r(6). Solve -6*u + 2*u - 5*m + y = 0, v*u = -2*m - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2025.273ml to litres.\nAnswer: 2.025273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 10 - 7. Let y be m + (-50)\/4*-2. Suppose -2*a = -5*o + y, -4*a - 10 - 8 = -5*o. Calculate the greatest common factor of o and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4*z - 10. What is the nearest to z in -0.1, -4, 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.063 - 0.063. Let y = -10.215 + 0.015. Let i = y + h. What is the closest to 0.1 in 1, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7488 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = 23*p + 54 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24*g**2 + 142*g + 181. Calculate f(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = u + 12 + 41, b - 32 = 4*u. Suppose -3*x + 0*x + b = 0. Let d = 4.3 - 4. What is the biggest value in -3, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056613554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 22 + 21 + 10*a - 61.\nAnswer: 10*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 2*t + 12 = 0, 0 = 2*b + 3*t - 5. Put 5, 0, b, -4 in descending order.\nAnswer: 5, 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u - 7 + 7)*(4*u - u + 0*u) as j*u + h*u**2 + z and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*t + 25 = 15, -3*i - 5*t + 2 = 0. Solve 5*r - h = -30, -i*r + 4*h - 5 - 35 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(700))**2)*2.\nAnswer: 5596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94369 and 9325.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/911 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*f - 15, 6*g + 4*f - 24 = 10*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80580 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, y: 1}. What is prob of sequence yx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1. Suppose 0 = 3*j + 11*w - 6*w - 23135, j - 2*w = 7719. Is k*j\/(-5) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6383 - 6383.02. Which is the nearest to 0.1? (a) -3\/8 (b) u (c) 0.1 (d) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383827 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.1. Let b = y + 0.1. Let n = 397\/5 - 79. What is the third biggest value in b, n, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3 + 1)\/((-1116)\/3627*10\/45)\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 - 6*l - 3. Let z be p(-5). Suppose 6 - 1 = 5*b. Let h(a) = -1 + z - b + a. Let k(v) = 5*v**2. Give k(h(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4704 - -0.4704. Let r = 8 + -13. What is the smallest value in x, -3\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 3 + (-5 - -6) - 11) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/15 (b) -4 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.32 - 10.12. Is -54 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-306))\/((-1)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 5*w - 6. Let t be s(-4). Suppose -4*z - 2*o = -58, t - 17 = 5*z - 2*o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51660 and 80647?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4514*m**3 + 259*m**2 - 259. Suppose 42 = 244*c - 225 - 221. Let f(y) = -35*y**3 - 2*y**2 + 2. Determine c*u(n) + 259*f(n).\nAnswer: -37*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 177, 743, 1685, 3003?\n\"Answer: 188*n**2 + 2*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 11\/16, 3, -27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3058 - -3053. Put b, 3, 4, -2, -375 in increasing order.\nAnswer: -375, b, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83766690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 130. Suppose -y*i = -78*i + 64. What is the smallest common multiple of 2 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 11) to base 8\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -39*d - 37. Let h(v) = -v**2. What is b(h(p))?\nAnswer: 39*p**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*u + 4178420, -2*u = -4*p - 1574466 - 514724. Suppose u = 4*r + 2684603. What is r rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6609 - -6088.7. Round a to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5340041*m**4 - 3*m**3 + 1418*m**2 + 5702*m.\nAnswer: -128160984*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 110\/15*(-3)\/(-2). Suppose 60 = i*s - 7*s. Let y = -12 + s. Solve 16 = -r - y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8 and -91\/639684.\nAnswer: 1279368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 + 14*l - 28. Let z be i(3). What is the nearest to z in -4, -2\/9, 2\/9, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75c2bb1 + 0?\nAnswer: 75c2bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -30944473 and -0.84418.\nAnswer: -30944473.84418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 3*s**5 + 41)*(-437 + 609 + 1465) + s**5 + s - s.\nAnswer: 4912*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/a)**10*(a\/a**3*a)\/a**7)\/((a**(-1\/4)*a**4)\/((a*a\/(a**(-5)*a))\/((a\/((a\/(a*a**(-8))*a)\/a))\/a))) assuming a is positive.\nAnswer: a**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.058 - 27.058. Let w = l - -26.99744. What is w rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 + 32059*g**2 + 103822595*g + 88874254025 = 0. What is g?\nAnswer: -28529, -1765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.8079 micrograms in tonnes?\nAnswer: 0.0000000009768079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1667844 and 3.97.\nAnswer: -1667840.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 3*l**5\/20 + l**4\/3 - l**2 - 5*l. Let u(i) = -i**3 - 2*i**2 + 1. What is -2*b(t) - 5*u(t)?\nAnswer: -t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1696 - -3612. What is the lowest common multiple of y and 32?\nAnswer: 15328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6645 = -7*x + y, 3*x - 6657 = -3*y. Suppose -2*p + 0*p + x = 0. Suppose 4*z - 208 = p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:47 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, 1\/10, -2\/7, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.180804 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63090, 63121, 63174, 63249, 63346?\n\"Answer: 11*z**2 - 2*z + 63081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i - 1. Determine s(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - (-189)\/14. Let x be 112\/52 - 2\/m. Solve 3*k = 4*k - 4*c + 22, -x*k - 14 = -2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241395323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365002 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: Calculate 129770 divided by 2.\nAnswer: 64885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p + 35. Let l(b) = b**2 + 7*b + 7. Let d(f) = 3 - 44*f - 85*f - 86*f + 378*f - 80*f - 80*f. Give p*d(j) + 3*l(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - 18*b - 4*b)*(2*b**2 - 6*b + 6*b) + 61*b + 27*b**3 - 61*b - 3*b**3 + 3*b**3 + b**3 to the form y*b + t*b**2 + l + r*b**3 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 1009*l**4 + 4*l**2 - 1004*l**4 - 5*l**3 + 1 to the form z + a*l**3 + p*l**2 + q*l**4 + y*l and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -113*p. Let u(f) = 6*f + 22. Let c(d) = -d - 4. Let j(m) = -22*c(m) - 4*u(m). Determine j(h(v)).\nAnswer: 226*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1329 + 1990. Let m = 672 - g. Let z be 1\/(-8)*(-1 + -5). Which is the nearest to m? (a) z (b) 0.2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + (3 - 186\/21).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -219, -475, -839, -1317, -1915, -2639, -3495?\nAnswer: -4489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -20\/2406113 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, 1 s, and 1 j when four letters picked without replacement from vjsskssssvskkvsjsjs.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -76*f**2 - 482*f + 6. Let o be c(-6). Solve 28*x - x = o for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-3))\/(4\/6). Suppose 124 = m*h - j, 0*j + 2*j + 98 = 3*h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1\/4 (b) 4\/3 (c) 2 (d) 2\/11 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6\/5))\/((g**23\/g)\/g) assuming g is positive.\nAnswer: g**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-18)\/(-8)*(-295)\/2655)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000000001101 (base 2) to base 12.\nAnswer: 95a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13359 and 657?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4) - -5)*3 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 + 2*o**5 + o**5 - 430*o**3 + 430*o**3 + 24*o**5 + 165*o + 11*o**5 - 165*o + (-o**3 + 2 - 2)*(2*o**2 + o - o).\nAnswer: 31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -983*h + 5 + 491*h + 488*h as a + t*h and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*t + 30, -4*m + 166 - 214 = -4*t. Solve x = v + t*x + 22, 0 = 4*v - 4*x - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121222222 - 2?\nAnswer: -122000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, 49699534, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5156, -5127, -5076, -4991, -4860, -4671, -4412?\nAnswer: -4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 10 + 3 + 0*a**2 + 4*a. Suppose -d - 195 = 38*d. Give o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114577422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:03 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 + s. Suppose 1 = -2*k + 5. What is the units digit of w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 + 5*l**3\/3 - 36*l**2 + 6. Let p be (-33)\/22*(-20)\/6. Suppose p*g - 6*g = 7. What is t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 1. Suppose 4*b - 2*b + 6 = 0. Let x = -2 - b. Let f(r) = 4*r**2 + 2*r + 7. Calculate x*f(l) - 6*h(l).\nAnswer: -2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:03 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 883, 3230, 8073, 16174, 28295, 45198, 67645?\nAnswer: 96398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x + f - 5, 4 = -2*x + 2*f. Solve -2*l = x*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 13. Let r be g(-9). Suppose -4*n = -2*u + 18, -r + 2 = n. Put 1, -14, u in descending order.\nAnswer: u, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:50 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 19 = 72432*n - 72430*n, 89 = -5*n - 4*z - 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4 + 23*n**3 - 1907 with respect to n.\nAnswer: 12*n**3 + 69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 115 + 59)*(2*d - 4*d + 0*d)*(2*d**2 + 4*d**2 - 4*d**2).\nAnswer: -524*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.6 - 28. What is the nearest to 1 in c, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43217177 to the nearest integer?\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 323.4808269 - -5.2240631. Let b = f - 330.506. Let g = b - -1.8. What is g rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose -z*m - 4*o + 28 = 0, 5*m = -2*o + 34 + 22. Solve 0 = 6*b - 3*b - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 91*x**2 + 0*x**3 - 27*x**2 - 29*x**2 - x**3.\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19 (b) 0.2 (c) -2 (d) -1.54 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/215660 and -31\/18.\nAnswer: 1940940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 8*o**4\/3 - 5*o**3\/6 + o**2 + 15*o. Let c be u(3). Suppose c - 20 = 3*q. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/22 - (-1146)\/352 and -67\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvnbbhhthhbb. Give prob of picking 1 v and 1 h.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99559205.\nAnswer: 5, 1091, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.1 (c) 0.01 (d) -5 (e) -104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 3*p**2 - 2*p**2)*(14*p - 4*p + 17*p)*(-1 + p + 1) to c*p**4 + u*p**3 + k + y*p + b*p**2 and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69.111 and 58?\nAnswer: -4008.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 18*n + 33. Let i be l(11). What is the smallest common multiple of 11\/i + (-921)\/(-21) and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 3*s - 4. Suppose 20 = h + 3*h. Let n = h + -3. Suppose -z - n*z = 9. Give d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.5, 1, 2\/19, 4, -2\/3, -64\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcbbbbbzbbbbbzczbss. What is prob of picking 2 z?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107420 = 29*b - 9*b. Calculate the greatest common factor of 262 and b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*((-152)\/(-70))\/(-19)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.7636 to one decimal place.\nAnswer: -162.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46943381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + l + 60. Let z = -22 + 49. Let p be (z\/(-6))\/((-1)\/10). Calculate the greatest common factor of p and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -218*m**3\/3 - 415. Let q(t) = t**2. What is q(z(i))?\nAnswer: 47524*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + 2.3. Let j = 25 - c. Let y = 21.000000217 - j. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 5)\/(7 + -8). Let r = -19 + 11. Let m be 4\/14 - (-10)\/14. Put r, o, m in descending order.\nAnswer: o, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32229\/4 or -8056?\nAnswer: -8056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*a - 26, n - 19 = a + 3*a. Let p be ((-1)\/n)\/(10\/(-480)). Let y = 28 - p. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 0 = 5*j + 4, -4 = 4*v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let o = 207 - 201. Let n(z) = -6821 + 32*z + 6823 + o*z. Give n(k(s)).\nAnswer: -38*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87665\/5748 - -2\/1437. Calculate the common denominator of -53\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -0.5, 1\/8, -9, -13514?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**4 + 125*z**3 + 4225*z**2 - 1125*z - 37620 = 0.\nAnswer: -19, -3, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*v**2 + 22*v + 118.\nAnswer: 10*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 5*c - 37 = 0, 2*c + 21 = i. Calculate the remainder when i is divided by (-4 + (-8)\/(-3))*-12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143642105 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -852.474 + 851. Round d to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -323*h**3 + 2*h**2 - 1. What is the tens digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 6. Let v be q(6). Solve v = -0*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*p + 10, 21 = b + 3*p + p. Suppose 7 + b = 4*l. Find q such that 2\/5 - 4\/5*q + 2\/5*q**l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1949380 - 949380. What is r rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2580716 - 48?\nAnswer: -2580763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:21 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 33*h + 208. What is i(-27)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (162 + 161 + 6 - 86)*(1 - 1 - 5*i) as j*i + o and give j.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -13075?\nAnswer: -13069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 0*n**3 + 0*n**5 + 0*n**2 + 0*n**6 + 1\/6*n**7 - 1\/6*n**4 + 0 + 2*n. What is the third derivative of j(m) wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 37 = -3*s + 218, -3*l + 255 = 3*s. Is s greater than or equal to 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:00 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -41095*m + 123494. Determine u(3).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 25. Suppose -o + r = 4*o. Suppose -a = -5*a + o*g + 42, 0 = -5*a - 3*g + 34. What is the greatest common divisor of 32 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 7*y**3\/3 + 27169*y**2\/3 + 34922*y\/3 + 7760\/3 = 0.\nAnswer: -3880, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 123. Suppose 5*c - 2 = n. Calculate the smallest common multiple of c and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyn when four letters picked without replacement from nynnynnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 2, z: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:20 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99003\/2194 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(684) + -6*(sqrt(684) + 1))**2 + -5)*5.\nAnswer: -428275 - 9000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001521457 to 7 decimal places.\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/116352 and 139\/4319568?\nAnswer: 34556544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)*a)**(-5\/2)\/(a**(5\/7))**(-2\/45))**29 assuming a is positive.\nAnswer: a**(64061\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4, 0 = 5*v - 4*x - 122. What is the remainder when 50 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 116*c + 118*c + 4680 = 0, -p + 1170 = -5*c. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 20606649?\nAnswer: 103033245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*c + 9, 31*k - 5*c + 40 = 26*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 120, 5 in decreasing order.\nAnswer: 120, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (651\/434)\/((-54)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 3*t**5\/20 - t**4\/6 - 5*t**3\/6 - 2*t**2 - 53*t. What is g(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4739 divided by -526\nAnswer: -4739\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87823467 divided by 4?\nAnswer: -87823467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*z**4 + c**3*z**3 - 269*c**3*z**2 + 3*c**2*z**3 wrt z?\nAnswer: -72*c**3*z + 6*c**3 + 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z\/z**(-15)*(z**3)**(-25))**(-5\/7) assuming z is positive.\nAnswer: z**(265\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(-2)\/5. Let y = 0.3 + -0.6. Let l = 3.7 - y. What is the biggest value in l, q, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10537 and 6939.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2512\/(-160) - -16)*(-641480)\/(-1218)?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Suppose 6*a - 2*a - 4 = -4*c, 5*a - 7 = -4*c. Suppose 3*v = 15, a*d + v + 9 = 2. Let k(i) = i + 38 + i**2 + 3*i - 40. Determine d*j(y) + k(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuuqkkuuukqqkq. Give prob of sequence kkq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26798902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/8 - (-6)\/(-24). Suppose 3*c - 4*q - 3 = -1, 4*c + 5*q - 13 = 0. Solve -4*f - 5*i = -23, c*f - 4 = -o*f + 2*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -18 + -5 + 19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -0.2 (c) -3026 (d) -2\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475851 is divided by 1031.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/6)\/2)\/(1705\/(-4650)*15\/594)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(396))**2 - (3 + sqrt(396) + 2).\nAnswer: -6*sqrt(11) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -85. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -65*j - 13. Let z(l) = 32*l + 6. Let f(i) = -6*p(i) - 13*z(i). Let n(u) = 10*u**2 - 11*u**2 - 2*u**2 + 12*u**2 - 3*u**2 - 3*u**2. What is n(f(k))?\nAnswer: 2028*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5152\/(-196))\/((-40)\/(-140)))\/2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4936*b**2*l**3*y**2 - 221*b**2*l**3 - 22*b**2*l**2 + 3097*b**2*l*y**2 - 8*b**2*l*y + 2*b*l*y**2 wrt l.\nAnswer: -29616*b**2*y**2 - 1326*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -10. Let f = 6 + -4. Let l = -1.5 + f. Put x, l, -5 in ascending order.\nAnswer: -5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112645\/9 + 12478. Let a = j + 39. Let -32\/9*d - 14\/9*d**4 + 2\/3*d**2 + a + 32\/9*d**3 = 0. Calculate d.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -1 + 0\/4. Let c be y - 0 - (10 + -10). Suppose c*t = 0, -t - 2*t = 2*i - 4. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 7*d + 6. Let h be z(7). Suppose 4*y + 2 + h = 0. Let n(w) = -3*w - 2. What is the remainder when 6 is divided by n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -5, -1, -4 in descending order.\nAnswer: 11, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 476408 (base 9) in base 13?\nAnswer: a072a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 89312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -4. Suppose -n*g = -7*g + 56. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/15)\/((-2)\/(-6)). Is (v - 5) + 9 + 449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 27966*x - 20 + 16 + 8023*x.\nAnswer: -19943*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let f(k) = -2*k + 8. Let q be f(4). Let r(u) be the first derivative of q*u + 6 - 3\/2*u**2. What is r(h(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/2)*k*k)\/k**1)\/(k**(-3\/4)*k**(-2)) assuming k is positive.\nAnswer: k**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 135.82 times -78\nAnswer: -10593.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 70.1. What is the third smallest value in 0.5, 2\/17, i, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459746 - 1459746 + 0*w**2 + 10*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 + 0*m - 2*m**5 + 2*m - 48 + (-2 - 2*m + 2)*(-2*m**4 - 2*m**4 + 3*m**4) - 11*m**4 - 6*m**5 + 11*m**4.\nAnswer: -6*m**5 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -3734541\nAnswer: 97098066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(3\/3)\/(-2). Let b(y) = m*y - 4 + 2 + 0. Let i(u) = -2*u + 1. Let z = -38 - -32. Give z*b(x) - 10*i(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, r: 3, s: 5, a: 2, w: 1}. Give prob of picking 1 r, 2 a, and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 894 + -859. Suppose -u - 8 = -5*q, 0 = -3*q + 6*u - u - 4. Suppose 139 = q*s + g. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14*n + 33219 = 17*n, 0 = -2*z - 3*n + 13284. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 27*f + 76. Let l(q) = -q**2 + 13*q - 32. Give 5*l(j) + 2*r(j).\nAnswer: -3*j**2 + 11*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1023*y**5 + 2*y**4 + 2*y**3 - 18*y - 2811.\nAnswer: 20460*y**3 + 24*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1035)\/(-414)*(0 - (-2 - 0))*1. Let l be ((-9)\/(-3) - 1) + -4. Put g, 37, l in decreasing order.\nAnswer: 37, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5699517.\nAnswer: 3, 37, 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**8\/20160 + 13*w**6\/720 + 2*w**5\/15 + 6*w**2. Let v(n) be the third derivative of m(n). Differentiate v(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 17*l - 2. Let h(j) = 88*j - 5798. Let y be h(66). What is i(y)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289226454.\nAnswer: 2, 3, 11, 29, 137, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700298 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmjm. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 + 152\/48. Solve 4*q + r*w - 19 = 12, -5*q = -3*w - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 53 = 5*q, 0 = -3*s + q + 29. Suppose 31*j = 28*j + 12. Calculate the remainder when s is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 53*t**2 - 4*t - 3*t.\nAnswer: 53*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 19. Which is the third smallest value? (a) -13 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**3 + 5 - 6*x**2 - 2*x**2 - 3*x + 12*x**3 - 3 as v*x + o + f*x**2 + l*x**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 559 - 564 + f**2 + 4*f - 12*f. Calculate k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/6)\/(1 + 2\/8). Let p be 34 - (-1 - (g + -6)). What is the tens digit of p - (-13 - -11 - (0 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 + -11?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -201. Solve -25 = -2*a - 5*i, -4*a - 4*i + q = 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-300)*2 + 15\/(-18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230 - 33851*p + 3 - 233 to t*p + z and give t.\nAnswer: -33851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15599.3 to the nearest 100.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/2*(-30)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*i - 8, 3*u + 4*i = 10 - 2. Suppose 2*h = -4*p + 6*p + 76, 2*h - 5*p - 61 = u. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 20. Suppose h*l = 9*l - 27. Solve -2*m - m - l = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:58 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + 3. Let a = 0.2 - b. Let o = 0.1 + a. What is the smallest value in -2, o, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.033 - 0. Let i = 31.4 - 31.467. Let m = k + i. Which is the nearest to 0? (a) 0.14 (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124608 equal to 124595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.00925. What is p rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5063*r - 44 - 45 + 131 + 4569*r - 41.\nAnswer: 9632*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v + 38 + 2*v - v**3 + 16*v**2 + 3*v + 3*v. Let z be r(16). Which is bigger: -43 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, 1 o, and 1 e when four letters picked without replacement from {l: 4, k: 4, m: 1, e: 2, h: 2, o: 6}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -63051+-0.2\nAnswer: -63051.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 751123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2200059*2.4\nAnswer: -5280141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3657694688 rounded to the nearest 100000?\nAnswer: -3657700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(108) + -4*(sqrt(108) + sqrt(108) + 2) - (sqrt(108) - (sqrt(108) + sqrt(108)*-2 + 4))) + -3)*-2)**2.\nAnswer: 48384*sqrt(3) + 563008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/6 + 3*l**3 - 10*l**2 + 13*l. Let j be v(-10). Suppose -4*p + 4 = j, p + 141 = 3*k + 49. Solve -5*f - 6 = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802296?\nAnswer: 2, 3, 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*r = 4618616 + 1426638. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*j + 271 + 294, 5*j + 2*d + 530 = 0. Let i = -70 - j. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*3*sqrt(392) - (sqrt(96)\/sqrt(3) + 4))**2 + -4).\nAnswer: -123020 + 1984*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 + -161. Let b(q) = 5*q**g + 477*q**3 - 239*q**3 - 237*q**3 - 4. Give b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78*-2\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 2783?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -63 in decreasing order.\nAnswer: 0, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3081 - -9589. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8791 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*k - 11 = 0, -5*k = -m - 5 - 15. Suppose v - 2 = -0. Suppose -v*w - w - 15 = 0. Is m less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50591808 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = 2*r, 0 = -3*x + 5*r + 5. Suppose 4*s - s - 15 = x. Solve -c = -0*c + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229607679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -150053722 + -0.3\nAnswer: -150053722.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 10*r**2 - 16*r**2 + 2*r.\nAnswer: -26*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = 49*z - 374. What is the third smallest value in 3\/4, z, -0.014, -0.2?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g. Let j(l) = 7*l. Let r(k) = 7*j(k) + 5*q(k). Let d(s) = 13*s**2 - 7. Let f(t) = -4*t**2 + 2. Let x(p) = -2*d(p) - 7*f(p). Determine x(r(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 290184?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 783395 + -549498. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 12 - -6) + 2 - 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l + 12. Suppose 5*y + h - 3 = 3*y, l*y - 2*h = 10. Find the second derivative of 3*n + 3*n**5 - y*n - 3*n wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 1\/4, 2\/13, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c - 9 = 0. Suppose -8*j + c*j = -25. Suppose 3*q - 6 = 3*l + 4*q, -5*l - 10 = -j*q. Does l = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-9 - (-1 + -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17640 and 9352?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -428, -55, -3, -2, 2, -5 in decreasing order.\nAnswer: 4, 2, -2, -3, -5, -55, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-57))\/((-66330)\/(-12730))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:56 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179102 + 658387 = -13834*v - 296899 for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5020, -17, -5, 3, -3 in decreasing order.\nAnswer: 5020, 3, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 50*n**2 - 49*n + 6. What is the smallest common multiple of 262 and b(1)?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:02 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + 1360*i - 2727*i - 2*i**2 - 3 + 1184*i as q*i**3 + f + d*i + p*i**2 and give d.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from {m: 4, y: 2, c: 4, x: 3, v: 2, u: 3}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/6 - 36\/(-12). Which is the closest to -3? (a) 0.1 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24310212 to the power of 1\/2, to the nearest integer?\nAnswer: 4931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 503*w. Let c(l) = -51*l**2. Determine s(c(z)).\nAnswer: 7803*z**4 + 25653*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 3*g + 3*g + (g + 0 + 0)*(-20 + 0 + 0) as q*g + n and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.6 - -39. Let n = 2421104 + -2421109.599238. Let s = n - q. Round s to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s + 4. Let i(o) = -15*o**3 - o. Give i(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 7. Let x(b) = 4*b + 6. Let m(p) = -3*q(p) + 2*x(p). Let l be 2 + -6 + 4 - 0\/(-2). Determine m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 + 6*o + 7. Let j be d(6). Let s(r) = -157*r - 628. Calculate the common denominator of (-50)\/j + -1 + 1 and s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 5*s**2 + 5*s. Let v be t(2). List the prime factors of (-4)\/6 + -4 + 730\/v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 24.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -1, 0, -3, 5, 4 in increasing order.\nAnswer: -3, -1, 0, 4, 5, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 - x + 49. Let n be 5\/5*-4 + 4. Let d be b(n). Let t(s) = 5*s - 2. Let q(u) = -119*u + 49. What is d*t(c) + 2*q(c)?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/697, -0.03, -0.1, -1\/3 in ascending order.\nAnswer: -5, -1\/3, -0.1, -0.03, 1\/697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**2 - 5*r**2 + 0*r**3 + r**3 + r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1535, -6174, -13917, -24770, -38739, -55830, -76049?\nAnswer: -99402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/287060 and -89\/2.\nAnswer: 287060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*v**3 + 1326*v**2 - 1324*v**2 - 114*v**3 + 2*v**4 to the form q + w*v + c*v**4 + a*v**3 + x*v**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/18060 and 17\/420?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*v**5 - 12*v**4 - 7343*v**3 - 28714739*v**2 - 2*v - 1.\nAnswer: 7320*v**2 - 288*v - 44058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1577 - 830. What are the prime factors of q?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892269624 to the nearest integer?\nAnswer: 29871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 791 + 791)*(-1 - 2*p**2 + 1)*(-110*p - 172*p - 523*p).\nAnswer: -4830*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 27293 - 36053 = -5*m, 5*m - 63366 = 4*u. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26434200 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 5*s**8\/84 - s**7\/42 - s**6\/6 + s**5\/12 + 13*s**2\/2 - 16*s. Let f(r) be the first derivative of y(r). Solve f(k) = 0 for k.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -137. Let p be (-114)\/152 - q\/(-8). Suppose -2*r + r + d = -1, -p*r + 3*d = -6. Solve -2*t - 7 = -r*c, -3*c + 2*t = -t - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*i**2 + 25*i**2 - 60*i**2 + 162*i**2 + 279*i**2.\nAnswer: 757*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3806 by 11.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 68040*i - 4286525. Calculate k(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 0*a - 4*a)*(3*a + 2*a - 3*a) + 0*a**2 - a**2 + 2*a**2 + (1 - 1 - 2*a)*(3*a - a - 3*a) + 19*a**2 + 0*a**2 + 2*a**2 - 3*a**2 + 3*a**2 - 2*a**2.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4.1 (b) -0.4 (c) -3\/7 (d) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7351 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41889 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23184251?\nAnswer: 149, 155599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 16*x**2 + 163*x - 21. Calculate p(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 14*p + 51. Let u = -929 + 1494. Calculate the remainder when u is divided by o(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134.3, -5, 0, -0.5, -0.1 in decreasing order.\nAnswer: 0, -0.1, -0.5, -5, -134.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -304*q**3 + 3*q**2 - 3*q - 3. Let i(o) = -607*o**3 + 7*o**2 - 7*o - 7. Determine -3*i(u) + 7*t(u).\nAnswer: -307*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 45439*p**2. Let x(a) = -2*a. Give m(x(k)).\nAnswer: 181756*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-656)\/48)\/((-25)\/(-45) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -13.0974801.\nAnswer: -12.2974801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1209 - 1081. What is the remainder when c is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1218\/16 - (15\/3)\/40. Let p be (1 + -6)\/(2\/26). Let o = p + u. Calculate the smallest common multiple of o and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(-2 + (-5 + (2*sqrt(204)*-6)\/(sqrt(12) - (sqrt(48) + sqrt(48) + sqrt(144)\/sqrt(3))) + 1)**2).\nAnswer: -2748\/25 + 96*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(32266\/(-9490))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -42, -59?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = 5*g - 6, -g + 3*c = 9. Let b(v) be the second derivative of g*v**2 + 0 + 3\/2*v**3 + v**4 - 11*v. What is the second derivative of b(f) wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.46 (b) 1 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 4*x = -1255, -3*m + 1247 = -4*x. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 4) in base 16?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 626*h**2 + 55*h - 1259*h**2 + 625*h**2 + h**3 as c + f*h + z*h**3 + n*h**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111111000 (base 2) to base 12.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from frffrfofffrooffr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {r: 3, h: 6, c: 3, a: 3, q: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 70508156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137 - 137 + 32*t**2 to the form r*t + z + q*t**2 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = -4*p, p - 3*q + 7*q = 9. Suppose -p*o = -20 - 0. Suppose -6*c + 18 = -o*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r**2 - 342*r + 12. Let x be l(19). Solve 5*d - 2*d + x = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**9\/5040 - q**5\/40 - q**4\/6 - 2*q. Let l(j) be the third derivative of y(j). Differentiate l(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:52 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:34 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 26963043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/(-1))*136\/(-1462).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/602 and -169\/126.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 1 (c) -8\/9 (d) 1\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(363))**2 + -2 + (sqrt(363)*3 - sqrt(363))*6.\nAnswer: 132*sqrt(3) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 358\/1 + 7\/(-28)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -2*x - 3*o, -o - 5 = -4*x - 142. Let k = x - -40. What is the hundreds digit of 128 + (-15)\/k + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253 and (-272)\/(-51)*84\/(-16)*-138.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-a**3 - 3*a**3 + 2*a**3) - 111*a**3 + 4398*a**3 - 472*a**3.\nAnswer: 3811*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 3 + 11 - 128 + 4*t.\nAnswer: 4*t - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57431.\nAnswer: 11, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*h - 4*p, -2 = -h - 2*p - 9. Let f be (4 + -3)*h*5. Solve r + 0 = f*g - 13, 0 = -2*g - 3*r + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125960009, -125960012, -125960015, -125960018, -125960021?\n\"Answer: -3*r - 125960006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*l**2 + 24\/5 + 6\/5*l.\nAnswer: -3*(l - 4)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071752 is divided by 517933.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85172, -85160, -85148?\n\"Answer: 12*h - 85184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0)*1\/1. Suppose 102 = 5*a - 3*p, 0 = 2*a + 3*a - 2*p - 98. Suppose -2*j - 2*r = -0*j - a, -j + 3*r - 3 = 0. Solve j = -h - q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (13 + -6)*1. What is the remainder when 229 is divided by 22 + -26 - w*-22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 2 - (-70 + 72) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 548 and 14659?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z**3 - 5*z**3 + 20*z**3)*(18 - 18 + 14*z) to k*z + n + c*z**4 + b*z**2 + t*z**3 and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -30. Let u(l) = 10150*l**2 - 7*l - 70. Let g be u(a). What is g rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -5*w - 46, -h + 3*w = -57. What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793528 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 171\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t + 66. Suppose 2668*h = 2682*h - 70. Solve 0 = -5*x + 15, -h*d - x = 3*x - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - 514295?\nAnswer: -514295.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g**(1\/53)*g))\/g)\/g*g*(g*g*g*g**(-5\/6)\/g)\/g)**19)**(31\/3) assuming g is positive.\nAnswer: g**(-534223\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.21 + -1.91. Let g = 2 + z. What is the second biggest value in g, -4\/3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 1)*(6 + -5). Let s be (2 - 81\/42)*(0 - v). Let a = 1\/21 + s. Is a smaller than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -909, -1852, -2823, -3834, -4897?\nAnswer: -6024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1193975 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 69. Let d be f(38). What is the closest to 0.1 in -0.4, d, -34?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277 is divided by 1092.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1975*i + 77. Is 8 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*u + 7179 = 0, -5*u - 1035 - 4723 = -4*o. What is the remainder when o is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 0*s**4 - s**4 + (-s**3 + 0*s**2 + 0*s**2)*(-2*s + 0*s + s).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 9*z - 6. Let f(p) = -2*p**2 - 4*p + 9. Let n be f(-4). Calculate k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 7 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(9\/(-6)) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.71.\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 69300 to the nearest one thousand.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -3\/13 (b) -2 (c) 26 (d) -0.3 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -26 + 18. Suppose y*l = l + 2. Suppose 4*f + 5*i + 30 = 0, 0 = 2*f - 3*f - l*i - 6. Let w(n) = -n**3 - 10*n**2 + n + 13. Calculate w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, d: 1, p: 1, k: 1}. Give prob of picking 1 d and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h + 17*h - 42750 = 0. Calculate the lowest common multiple of 750 and h.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6209865 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1045\/3 - 4177\/12. Which is smaller: r or 5\/32?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 + (58\/10 - 0). Suppose -2*m + 2*g + 4 = a, -3*m - 4*g = 3. Let v(q) = 11*q**3 + q**2. What is v(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9353 - 4678 - 1934*f - 4675.\nAnswer: -1934*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-12)\/(-360) - 0.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 746317 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289977*g**3 + 142591*g**3 + 147391*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:37 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35e + 4?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560693653 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250 - 1\/8*b**3 - 75*b + 45\/8*b**2.\nAnswer: -(b - 20)**2*(b - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1235 - -1235. Let f(q) = 4*q + 57. Let w(z) = -4*z - 58. Let k(u) = -2*f(u) - 3*w(u). Let j be k(h). Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*h + 27*h - 68*h)*(3*h - 4*h**2 - 3*h) to the form b + l*h**3 + s*h + u*h**2 and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -674365388*u*v - 16951347*v + 4 wrt u.\nAnswer: -674365388*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 6*u**2 - 6*u - 2. Let f be p(7). Let m be f*(-5)\/((-25)\/9). Solve 2 = 2*v, 3*v = 2*k + 2 - m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 63 + 63 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*d - 491*d = 187*d - 20130 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 4091.\nAnswer: 8182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5266 - 19*a - 14*a + a - 5265 in the form q*a + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmdddmddmmymdddmd. Give prob of sequence mym.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -5*sqrt(7) + -5 + sqrt(7) - -4*sqrt(448)) + -2*((-1 + sqrt(7) + -1 - sqrt(7)) + sqrt(21)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: -54*sqrt(7) + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2016, -2026, -2050, -2094, -2164, -2266, -2406?\n\"Answer: -q**3 - q**2 - 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 901.0747ml?\nAnswer: 0.9010747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4455 (b) 1\/2 (c) 32 (d) -5 (e) 0.3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r - 0*n - 3*n, 0 = 5*r - 2*n + 15. Let j(x) = 3332*x - 36657. Let s be j(11). Sort 2, s, 1, r in increasing order.\nAnswer: s, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -11, 4, -5.\nAnswer: -12, -11, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkktktkt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9958528?\nAnswer: 2, 77801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 e when three letters picked without replacement from {l: 1, e: 1, d: 1, o: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g - 2. Suppose -a + 1 = -0*a. Suppose 3 - a = -w. Is c(w) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -4*t**4\/3 - 3*t**3\/2 + 11*t. What is the second derivative of r(s) wrt s?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1349750 = 3815274. Let s = u - 25847123\/10. Let v = 2205 + s. Calculate the common denominator of -29 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24 and (-102)\/(-48)*(-6)\/36?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3 - -4) + -2 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5) - 44\/1760*47?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(77\/22)*-28?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6966011?\nAnswer: 13, 47, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -256365 divided by 3\nAnswer: -85455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4373*f**3*n**2 + 757*f**3 + f**2*n**2 + 6*f + 603*n + 144 wrt n.\nAnswer: 8746*f**3*n + 2*f**2*n + 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 6*f - 14 + (3*f + 21*f - 2*f)*(-3 - 3 + 4).\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 8241*s**4 + 41277*s**3 + 8319*s**2 - 173322*s - 148608 = 0?\nAnswer: -3, -1, 2, 2752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 80*y**4 - 5*y**2 - 5*y - 94. Let n = -194 + 189. Let h(t) = t**4 - t**2 - t + 1. Let x(j) = n*h(j) + l(j). What is the derivative of x(z) wrt z?\nAnswer: 300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:22 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 686*c**3 - 553*c**3 + 4*c**2 - 5*c**2 + (-2*c**2 + 3*c**2 + c**2)*(0*c + 0*c - 4*c) + c**3 - 2*c**3 - c**3.\nAnswer: 123*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*m + 2*i + 3 = 238*m, 2*m + 2*i - 12 = 0. Solve 5*j - 2 = 3*y, y - m = -0*y - 2*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 38794 - 143446 = 0. Does 51 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 20. Solve -c*k + 0 = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.131? (a) 0.5 (b) -6\/7 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01839 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262384 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 6804.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*n - 136, 3*n = -n. Let r = -22696 - -23511. What is the remainder when r is divided by u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*t - 14325 = 0, -13*b + 5*t - 8619 = -16*b. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210229?\nAnswer: 210229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*k + 64*k = -66*k - 74898. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-14) + (-3328)\/(-91). Let v = c + -26. What is the third derivative of 18*a**2 - 3*a**2 + 0*a**2 + v*a**6 wrt a?\nAnswer: 1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*v - 3*v. Suppose -32*b + 4*s = -37*b + 2532, 0 = -v*b - 3*s + 2025. What is the greatest common divisor of 56 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253732491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + 4*s**2 + 2*s - 2. Let j(w) = 16*w**3 - 21*w**2 - 10*w + 11. Let b(t) = 10*t**3 + t**2 - 2. Let g be b(-1). What is g*n(d) - 2*j(d)?\nAnswer: d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -29*g + 2*i, 5*g + 94*i - 91*i - 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173419?\nAnswer: 37, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((-6)\/3)\/2. Suppose -h + 3*h - t*g - 382 = 0, -2*h = -2*g - 384. Is 43 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -5*l**6\/6 + 4*l**3\/3 + 8. What is the third derivative of m(j) wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (26 + (-67 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h - 18 = 0. Let g = -5 + h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -9\/7, 2, 0.3, 6 in ascending order.\nAnswer: -9\/7, 0.3, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692698 is divided by 6098?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u + 249. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j = 6. Let h(t) = t**3 - 6*t**2 + 5*t - 4. Let o be h(j). Calculate the greatest common divisor of o and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1896806011 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/3, 0.7, -0.079, -11, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36940218 or 36940206?\nAnswer: 36940206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.3 (b) 18 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmt when three letters picked without replacement from {w: 1, m: 3, g: 4, t: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/2)*j*j))**28*j**0\/(j**(-1)\/j) assuming j is positive.\nAnswer: j**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2*l, -695*s = -699*s + 5*l - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(112) - (sqrt(112) + 0)) - sqrt(112)) + 2 + sqrt(112) + 3 + (1 + sqrt(112) + 3 - (2 + sqrt(112) + 5)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((32\/16)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -613 + 615. What is the fourth smallest value in 2\/19, -23\/4, v, 1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 15 = 3*j, 2*m + 1 = j. Put 4, -23, m in increasing order.\nAnswer: -23, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/210*(-4)\/(-28)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2\/6)*21. Let y = 11 + t. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 29*a**4\/3 - 2*a**3\/3 + 64*a. Factor b(l).\nAnswer: 4*l*(29*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 10 + 76 - 32 - 26 + 5 - 5*c.\nAnswer: -6*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18*-28)\/(8\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:22 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1033.\nAnswer: -206.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:46 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 96*y**2. Let q(r) = -18*r. Give g(q(f)).\nAnswer: 31104*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 512.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -1, 2.\nAnswer: -1, 2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 4*k**2 + 0*k**2 + (3*k - 3*k + 2*k)*(0*k - 10*k + 0*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -223. Factor 16*b**3 + 5544*b - 15*b**3 + 39945 + 5256*b + 176055 + r*b**2.\nAnswer: (b + 60)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 6398?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 8, j: 3, b: 4}. What is prob of picking 3 i and 1 j?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/6 - 13007*y\/2 + 604345\/3 = 0.\nAnswer: 31, 38990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*d = -4, -2*d = -2*p - 40435 + 40441. Determine q so that -86\/11*q**p - 24\/11*q**3 - 56\/11 - 120\/11*q - 2\/11*q**4 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, -0.1099983 in increasing order.\nAnswer: -5, -0.1099983, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-30) - (-299961)\/54?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844.6 - 735. Let r = -111 + q. Put 0.5, 1\/7, r in decreasing order.\nAnswer: 0.5, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 2, s: 1, x: 3, t: 1, f: 1}. What is prob of sequence oof?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -5.4. Let h = -0.8 + 0.5. What is the second smallest value in h, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 3. Let l be p(2). Let h = -1.8 + 0.8. Which is the smallest value? (a) h (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9171331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3781675 and 31445.\nAnswer: 71851825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 666321545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + -0.5. Let p = v + 0.09. Suppose 0 = j - 2*y + 6, 0 = 5*j - 5*y + 9 - 4. Which is the third smallest value? (a) p (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882000 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r - 9. Let a be h(-12). Let c(v) = 5*v - 2 + 8 - a - 9. Let p = -13 + 8. Let g(n) = -6*n + 7. Calculate p*c(q) - 4*g(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.8. Suppose 5*r = p - 59, 95*p = -3*r + 91*p - 17. What is the nearest to c in r, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/408040 and -81\/127664.\nAnswer: 64470320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -102. Let x = i - 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 42 - 52. Let f(g) be the first derivative of 3\/2*g**n - 2*g - 4. What is the derivative of f(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 5) + 2 - (-15395548)\/221. Let j = -69668 + m. Calculate the common denominator of j and 57\/8.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 793901 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0*q + 31. What is the remainder when 60 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 16 + 2*(2 - 4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*m = 40, 4*m + m - 90 = -5*v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3 = -7*o + 5*b, 4*b + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from popoppoopooooo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2*f**2 + 4*f + (13*f + f + 43*f)*(1 + f - 1) to the form k*f**2 + u*f + y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*p + 29, 17*p - 14*p + 1 = 4 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 5*a - 12*a - 30*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 144*u**2 + 91*u + 393. Is m(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v + 48*v - 33 + 3, 0 = k - v + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/36249 and 3?\nAnswer: 36249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 459335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -8765?\nAnswer: 157770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3138.095 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-95)\/(-38) + 14\/4. Suppose 98 = 5*b - 2*v, -5*b + 3*v = -9*b + 60. Calculate the greatest common divisor of b and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27927814 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.90952 days in weeks?\nAnswer: 10.70136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400838, 801700, 1202554, 1603388, 2004190, 2404948, 2805650?\nAnswer: 3206284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/391)\/(3*1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 - -179. Suppose 2*q = q + 20. Let u be (q*-1)\/(2 + -4). Does n = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5022713 - 1973661.\nAnswer: -1973660.4977287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose -9 = -3*p - d*p + n, 6 = 2*p + n. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -11100110111?\nAnswer: -11100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n - 4. Let q(f) = -f**3 + f**2 - f + 4. Let c(o) = -o**3 + 2*o**2 - 2*o + 7. Let a(z) = 4*c(z) - 7*q(z). List the prime factors of a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74801715.\nAnswer: 3, 5, 1231, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/7 + 224984*r\/7 + 674934\/7 = 0.\nAnswer: -112489, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + (-5)\/3). Let p be (-1)\/2 - 7\/14. Sort k, p, 0.1 in decreasing order.\nAnswer: 0.1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -2\/9, 27, 2, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -89?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12493)\/1922*(-87)\/39.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 69*s - 1085. Calculate p(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = 2*w. Let o = -163 + 160. Let f be (-4)\/(-14) - (-12)\/(-91). Which is the nearest to w? (a) -1 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*r + 24, -f = -0*f + 5*r - 22. Suppose f*u - 169 = -5*c, -7 = 2*u - 1. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x = 163*x - 110*x + 476 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.6 + 16. Let q = 0.4 - s. Let i = q - -1.5. Which is the second smallest value? (a) i (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.129 + 0.1289866. What is u rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 7\/6 (c) -0.5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -407450957*z**3 + 2*z**2 - 535066268 wrt z.\nAnswer: -1222352871*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18059723 minus -1.3?\nAnswer: 18059724.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 1}. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2\/3, -25, 2\/3, 9\/5, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/44)\/3*2\/(-5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-7)\/84 + 1 + -1. Factor 1\/2*x - c*x**3 + 0 + 1\/2*x**4 - 1\/2*x**2.\nAnswer: x*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 2*c**2 - 16*c + 23. Calculate the remainder when x(6) is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372056821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -156, 1\/4, 7 in descending order.\nAnswer: 7, 1\/4, -3, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5412 divided by 22\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1021 - 619. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -6*k + 4*k + 19, 24 = -3*m - 3*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 11138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, 31, -1, 21, 1 in descending order.\nAnswer: 31, 21, 2, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1910, 7611, 17114, 30419, 47526?\n\"Answer: 1901*l**2 - 2*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 345\/(1\/(16\/176*11)). Let x(d) = 40*d + 7. Let t be x(5). What is the highest common divisor of t and k?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -43. Let b = j - 12.00003. What is b rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8)*-2 + -6. What is the tens digit of (-2)\/l - (-55890)\/189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157574551 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2720)\/(-408))\/((-2)\/(-3))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 1. Let j(g) = -g + 3*g - 5*g + 2*g. Calculate -9*j(r) + 2*t(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 106, 170, 240, 316, 398?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7 + 12*j**2 + 134*j - 4 + j**3 - 13*j**2 - 144*j. Let n be x(-3). Let w(t) = 2*t - 7. Let k(l) = -6*l + 20. Give n*w(o) - 6*k(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 759206179 greater than or equal to 759206179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.91957 milligrams to grams.\nAnswer: 0.08891957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -16) + (8 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2) + 4 - 2. Suppose -6*w + p*w - 692 = 0. Let f = -82 - w. Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3388, 3401, 3402, 3385, 3344, 3273?\n\"Answer: -b**3 + 20*b + 3369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180 or -187?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, 289, -224 in decreasing order.\nAnswer: 289, -2, -4, -5, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6406 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 6. Let s(w) = -w + 6. Let o(l) = 6*i(l) + 5*s(l). Let y(t) = -t + 6. Let q(p) = -2*o(p) - 3*y(p). Find the first derivative of q(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28015 + -139?\nAnswer: -28154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8468.96 - -8469. Which is the second smallest value? (a) i (b) -9 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(32 + 56 + 170*y - 167*y) to t + d*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -6*d**3\/7 - 528*d**2\/7 + 1626*d\/7 - 156 = 0.\nAnswer: -91, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*(-80)\/(-144)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (1 + sqrt(117)))*-1)**2 + (1*sqrt(468)*-2)**2.\nAnswer: -6*sqrt(13) + 1990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 19 = d, 0 = d - x - 5 + 3. Suppose -15 + 1 = 2*a. Let c(j) = j**2 + 5*j + 4. Let z be c(a). Solve 18 = -2*g - g - 3*u, -u = -d*g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(40)\/sqrt(4)))\/(sqrt(18)\/sqrt(3)*-3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 1538973*j - 6155940.\nAnswer: 3*(j - 512995)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -15100 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + -10 + (-784)\/(-40). Which is the closest to -5? (a) q (b) 4 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9116*s - 2898*s - 14 - 3315*s - 2903*s + 7*s**3.\nAnswer: 7*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 3*n**5\/50 + n**4\/6 - 4*n**3\/15 - 4*n**2\/5 + 2*n + 2. Let h(s) be the first derivative of o(s). Factor h(r).\nAnswer: 2*(r - 1)*(r + 2)*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(2156) - sqrt(2156))*3 + 2 + -2*sqrt(2156) + -2 + 2*(sqrt(2156) + sqrt(2156)*3))**2.\nAnswer: 77621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31338 + 31334 + 31342 - 11*w - 94015 - 32*w.\nAnswer: -43*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2580.3467 + 2580. Round l to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.253 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooxuyuxoxr. What is prob of picking 2 u and 2 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let v(n) = -n**2 - n - 2. Let x be v(g). Is -3 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let l(h) = h - 19. Calculate l(v(x)).\nAnswer: -2*x**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-8)\/t*t**(-10)*t*t*t*t**(4\/9)*t**11*t*t assuming t is positive.\nAnswer: t**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.015 + 32.985. Let z = 32 - p. Let o = -12.7 - z. Round o to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/5*(-11220)\/51 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/7 - 1762*a**2\/7 - 110375*a + 3118756\/7 = 0?\nAnswer: -883, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9*((-2)\/(-5))\/(18\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6 - 0. Factor 25*x - 4*x**2 - x**r + 5*x**3 - 29*x + 4.\nAnswer: 4*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3215*b**3*o - 5*b**2*o - b*o + 9812*b + 1 wrt b.\nAnswer: 19290*b*o - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Suppose -5*p - 3 = -2*g, 4*p + 0*p = -4. Let h = -11 - -16. Sort m, h, g in decreasing order.\nAnswer: h, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, s: 3, e: 6}. Give prob of picking 3 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1996338*4\nAnswer: -7985352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434\/11*x - 2\/11*x**2 + 0 = 0. Calculate x.\nAnswer: -217, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24431323871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336285 is divided by 1137.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddydddddy. What is prob of sequence dyd?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 4 + 5 - 5 + 26 as q*j**2 + c + g*j and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 6. Let m be k(7). Let o(z) = -4*z**2 - 20*z - 5. Let g be o(-4). Suppose -a + m = -g. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74, -67, -56, -41?\n\"Answer: 2*q**2 + q - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1)*(1 - 6 - 12).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -338?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bb (base 15) in base 13?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2394 + -1938. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-6.2.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20a66c2 - 1?\nAnswer: 20a66c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 3*q + 151140000. What is q rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196.93 + 195. Let n = 1.8 + g. Round n to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684372, -684373, -684374, -684375, -684376, -684377?\nAnswer: -684378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11155 - 3*s - 11155. Let r(h) = 4*h - 9. What is r(i(n))?\nAnswer: -12*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -101*k**2\/2 + 506*k + 418. Let i be p(5). Let f(g) = g - 1. Let y(d) = -5*d + 6. Let l = -7 + 11. Give i*y(c) + l*f(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/84)\/((-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 1360*v**2 - 104747*v + 1963146.\nAnswer: (v - 37)**2*(v + 1434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9574.026 years?\nAnswer: 957.4026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 - 32893*k**2 - 3*k + 4156 wrt k?\nAnswer: -12*k - 65786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**(3\/7)*b)\/b*b**(-9)\/b*(b**(2\/3))**(-47) assuming b is positive.\nAnswer: b**(-838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -326*x**2 - 16. Let n(p) = -61*p**2 - 3. Let b(d) = 3*m(d) - 16*n(d). Let y(k) = -k**2 - k**2 - 200*k + 10*k. Determine y(b(l)).\nAnswer: -8*l**4 + 380*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 365. Let l = -147 + s. Calculate the highest common divisor of l and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let h(l) = 25*l. Let v(d) = -26*a(d) - 2*h(d). Let b(f) = -22*f**2 + 2. Determine v(b(p)).\nAnswer: -44*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/11)\/((((-240)\/1150)\/4)\/((-20)\/25)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790926.\nAnswer: 2, 3, 61, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -607.00086 - -607. Round j to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42 and 55\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 123340.\nAnswer: 1110060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + d. Let y(b) = b**2 + b. Let l(p) = -n(p) + 4*y(p). Factor l(k).\nAnswer: -3*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 14*z - 40*z + 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/2 - 559527*q - 313070463729\/2 = 0. What is q?\nAnswer: -559527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13866633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11566 is divided by 1015?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 695 + -564. Let w = -99 + u. Solve -3 = w*d - 31*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**9\/17640 - d**8\/11760 - d**7\/8820 - d**4\/6 - 4*d. Let y(f) be the third derivative of r(f). Find u such that y(u) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810015.\nAnswer: 3, 5, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c - 26 = -51*c. Suppose -4*l - 6*o + 4*o = -1988, c*l = 4*o + 984. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3621.476 milliseconds?\nAnswer: 3621476000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -364709965 divided by 1779073\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204199575.\nAnswer: 3, 5, 2722661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 627*x**2 - 3 - x - 8*x - 620*x**2 - x**3. Let c be m(5). Calculate the greatest common divisor of 16 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/1*(-12)\/81.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505*p - 1925 = -1512*p. Calculate the remainder when p is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -98. Which is the nearest to 0? (a) j (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114542 (base 9) in base 5?\nAnswer: 4201334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767 a factor of 195918649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/80)\/(6\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooqq when four letters picked without replacement from sroqqsoooqoqfro?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 16*q - 18*q + 2, -3*v + 15 = 4*q. Suppose -19 = -3*h - 2*z, -3*h + 4*z + v + 6 = 0. Sort 3, h, -1 in decreasing order.\nAnswer: h, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/22)\/(3\/6*9\/((-972)\/6))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97816*h - 97817*h + 4*f + 58 = 0, 2*f + 2518 = 66*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -17. Let m be 0\/(-2 - (1 + l)). What is the derivative of m*s**2 - 9*s + 3 + 9*s - s**2 wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (12 + (-205)\/15)\/(5\/(-174)). Solve o*i + 30 = 47*i - a, -3*a = i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 + 233. Which is smaller: -49\/6 or b?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - 3*v + 9. Let d(f) = 5*f**2 - 4*f + 4. Let p(k) = 3*d(k) - 2*h(k). Let x(r) = 11*r**2 - 13*r - 13. Give 13*p(s) - 6*x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 + 9*l**2 + 21*l - 141. Is h(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 5, i: 2}. Give prob of picking 4 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848000250 divided by -5653335.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32652 (base 10) in base 9?\nAnswer: -48710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3322 and 811474?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2125565498.\nAnswer: 2, 7, 29, 5235383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 732*j**2 - 14*j - 259*j**2 - 80 - 172*j**2. Let u be r(30). Round u to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2962*w**3 + 4*w**2 + 12*w - 4. Let v(o) = 12064226*o**3 + 16291*o**2 + 48873*o - 16291. Determine -16291*k(r) + 4*v(r).\nAnswer: 2962*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478582 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0*j + 5\/48*j**4 + 0*j**3 + 9*j**2 + 0 - 1\/48*j**5. Factor o(t).\nAnswer: -5*t*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 38. Suppose -3*y - 4*w - 17 = 0, 2*w + 3 + 1 = 0. What is the closest to 1 in y, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 7 = 0. Let t(c) = -c**2 + 9*c - 9. Let o be t(y). Suppose -o*l - 4*v + v = -1, -3*l = 2*v. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*r = -3, -2*r = r - 12. Suppose b*x - 27 = -2*u + 4*u, 4*u + 29 = 5*x. Let v be ((-3)\/((-12)\/(-2)))\/((-1)\/(-2)). Are u and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7842401.\nAnswer: 7, 160049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -118. Suppose -3*l = a - 282, 0 = -o*l - a - 0*a + 472. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4191080 and 18859860?\nAnswer: 37719720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*d**2 - 41 - 66*d**2 + 93 - 50 as b + v*d + x*d**2 and give x.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020 divided by -3?\nAnswer: -3020\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.45614 rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 2 - 0)\/1. Let f = c + 3. Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36751 - -13?\nAnswer: -3673b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6 and -73\/950217.\nAnswer: 1900434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - 13.73. Let t = h + 13.7. Let y = -2\/39 - 50\/39. Sort t, y, -4 in increasing order.\nAnswer: -4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 54. Suppose p - s - 66 = -t, -2*p - 796 = -4*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 the remainder when 8454 is divided by 1672.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (241 - 244) + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g - 2*l + 4*l, -4*g = -2*l - 12. Suppose -r - 56 = -3*x - 6*r, -g*x - 4*r = -72. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 4*c**7\/105 - 2*c**4\/3 - 5*c**2. What is the second derivative of b(i) wrt i?\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 42*l - 14 - 13*l + 3*l. Let v(i) = -11*i + 5. Let f(b) = 5*o(b) + 14*v(b). Determine f(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*sqrt(78)*2)\/sqrt(6).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5121, 20482, 46079, 81906, 127957, 184226, 250707, 327394?\n\"Answer: -r**3 + 5124*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 7*j**2 + 10*j - 33. Let w be f(6). Sort 5, w, -16 in ascending order.\nAnswer: -16, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*n - 9*n + 49*n)*(n**2 + n**2 - n**2).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -11.806.\nAnswer: -11.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/48 - (-2)\/(-3). Let y = 1\/24 + r. Which is the nearest to y? (a) -3 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h. Solve 2*d + h = -8, -4 = 3*j + d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -113.5. Let y = m + -40.5. Let u = y - -50.5. Which is the nearest to -3? (a) -5 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 29. Suppose g = -2*n - 7*n + 4437. Suppose 3*s + 181 = n. What is s rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0.34. Suppose 131*p + 12 = 3*i + 134*p, 0 = 2*i - 5*p + 48. Which is the third smallest value? (a) i (b) 188 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/280 + t**6\/72 + t**3\/6 - 10*t. Let x(h) be the second derivative of p(h). What is the third derivative of x(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + 0 - sqrt(2057))**2) + -4.\nAnswer: -4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 63. Suppose 0*m = -5*m + 85. What is the remainder when g is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*u - 26 = 0, 39*w - 43*w + 3*u = 39 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287313473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198.03 + 197. Let s = i - -0.13. What is s rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(24)\/(sqrt(64)\/sqrt(8)) + sqrt(3) - sqrt(147)*4)**2 - (sqrt(3) + 1*sqrt(27) + (3 + sqrt(75) - sqrt(75))))*3.\nAnswer: -12*sqrt(3) + 5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o + 903. What is the remainder when d(0) is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -449376*s**3 + 2*s**2 - 2*s + 4. Let k be c(2). What is k rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579301938 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 0*p**4 + 0*p + 0*p**3 - 7*p**2 + 0*p**7 + 1\/56*p**8 + 1\/60*p**5 + 0*p**6. Find the third derivative of b(a) wrt a.\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10275171\/10 or 1027518?\nAnswer: 10275171\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (31 - 34) - -32\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**6\/30 - 3*j**5\/20 + j**4\/4 + 7*j**3\/6 - 3*j**2 - 40*j + 43. Let g(c) be the first derivative of p(c). Factor g(r).\nAnswer: -(r - 1)**2*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-148))\/(40\/(-24)*18\/12).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 742 + -727. Let v(l) = -12*l + 15. Let p(t) = 3*t + 2. Let h(f) = f + 1. Let y(g) = -5*h(g) + 2*p(g). Give d*y(w) + v(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 10 = -12*i. Suppose 20 = 4*t - t - 5*o, -3*t = i*o - 40. Let h be 3*t\/1065*-1. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11268371 is divided by 1816.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25862331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 0.11382212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.17552498?\nAnswer: 0.070209992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*z**2 - 1536 + 96*z.\nAnswer: -3*(z - 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -2*i + 3*g + 7, -3*i = -2*g - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*q = -11, 2*c = -3*q + 16 - 3. Let l = -53 + 53. Suppose l = -4*x + 5*k + 352, c*x - 480 = 3*k - 53. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000001111011011 (base 2) in base 14?\nAnswer: 28283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/3, 1\/3, 0.01, -18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -1. Let m be 3\/(-9) + l\/(-3). Sort -5, -2, m in increasing order.\nAnswer: -5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.362 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1733 - 0.0567. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -22*l**3 + 2289*l**2 - 99*l - 658. What is r(104)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.57177 hours to microseconds.\nAnswer: 304458372000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(637) + -1 + sqrt(637)*1 + sqrt(637) - sqrt(637) - sqrt(637))**2*-4 + -4)*5.\nAnswer: -1400*sqrt(13) + 63900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1653*h = 1648*h - 5, 2*h + 2 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39398 times 2.1?\nAnswer: -0.827358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 - -240. Solve -3*u = -1 + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301545699?\nAnswer: 1301545699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4719 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:38 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 10. Let p be (-2)\/y + 17\/((-952)\/16). Which is the closest to p? (a) -0.2 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-40))\/(-2*3\/(-6)). Factor 2\/5*s**5 + q*s**2 + 0*s + 0 + 0*s**3 - 3\/5*s**4.\nAnswer: s**2*(s - 1)**2*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus 4.48?\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*m = -168*m - 4590. Is m >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15071701\/196 + -76896. Let p(k) = 8*k**2 - 2*k + 1. Let o be p(1). Find the common denominator of ((-58)\/(-32))\/(o\/28) and r.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2\/6*1)\/(149\/149)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-235)*80\/(-36)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142530257 is divided by 1810?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134.2 - 134.1. Let t = 2 + -1.5. Let m = -213.2 + 213. What is the nearest to 2\/3 in m, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.446 and -0.080885975495.\nAnswer: 0.365114024505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*o - 76, -16788*b = -16787*b - 3*o - 107 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 6 - 12, -2*j = 2*z - 4. Solve z = q - 2*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.17842 years to decades.\nAnswer: 0.017842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u. Let d(r) be the first derivative of -48*r**2 - 68. Give d(v(m)).\nAnswer: 288*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(18 + 16*g - 18) to n + j*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1. Let n(x) be the second derivative of -x**3\/3 - 9*x**2\/2 - x. Suppose 1 + 23 = 2*h. Suppose 8*o + h = -4*o. Determine o*n(f) - 5*i(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (-2 - -56) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -9) + 3 + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6\/7*a**2 + 270\/7*a - 2784\/7 = 0.\nAnswer: 16, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*s = -2*d - 1168, 4*d - 5*s + 4701 = 0. Let c = d + 1858. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/16090 and 36\/2885?\nAnswer: 9283930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgn when three letters picked without replacement from {n: 1, g: 4, p: 8}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 1425618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + sqrt(2)*-2 + 5 - (1 + (sqrt(2) - sqrt(648) - sqrt(2) - sqrt(2))**2).\nAnswer: -723 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1963 and 94.\nAnswer: -184522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 13)*1\/2*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.74 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 1, x: 1, h: 3, a: 3}. Give prob of sequence jhh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, 527, 525, 523?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0377 + -1.0377. Let s = -0.29 - -0.07. Let n = -0.12 - s. Which is the closest to g? (a) n (b) 5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 5 - 3*g**2 - 5*g - g**2. Let y(r) = -r**2 - 4*r - 4. Suppose -2 = 5*l - 17. Give l*y(x) - 2*n(x).\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 2\/699, -16\/91?\nAnswer: 2\/699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(504)*2 - sqrt(504)) + sqrt(504))\/(2*2*sqrt(128)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -77\/3. Let z = 0.09 + -0.1. Let m = z - -4.01. Which is the nearest to q? (a) -0.1 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocjejjjc. Give prob of picking 1 c, 2 j, and 1 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -3 (c) 8 (d) -45459 (e) -0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 212133333331 (base 4) to base 9\nAnswer: 20882324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330392 is divided by 808?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670260343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 3*p**3 - 4 - 7*p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -13.7. Let f = 153920964 + -153920975.0000009. Let z = g - f. Round z to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 + 157348*n - 314680 = 0.\nAnswer: 2, 39335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a century in years?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 195, 349, 501, 651?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-55)\/285. Let r = g + -7\/95. Let i = 243888.1 + -243888. Which is the nearest to i? (a) 0.02 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 24*a - 117. Let z be u(-7). Let s(i) = 2*i**3 + 2*i**2 + 4*i - 9. Let p(l) = 2*l**3 + 3*l**2 + 5*l - 10. Calculate z*p(g) - 3*s(g).\nAnswer: -2*g**3 - 2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*v = 28, 28 = 2*x - 2*v - 3*v. Calculate the remainder when 83 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(22)*-2*4)\/sqrt(11))**2 + -2 + -2).\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2\/27)\/j*j)\/j)\/j)\/(j*j**(-25)*j) assuming j is positive.\nAnswer: j**(592\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 810, 880, 978, 1110?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13620.01 - -13620. Sort -3\/8, 4\/29, 2, -3\/5, b in decreasing order.\nAnswer: 2, 4\/29, b, -3\/8, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 2*j + j)*(-3 - 1 + 3) + (-44*j - 61*j - 30*j)*(-1 + 2 - 3))*(5*j**2 - 2*j**2 - 4*j**2 + (-j + j - 3*j)*(j + 0*j + 0*j)).\nAnswer: -1076*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 1273*t**3 - 9*t**2 - 1272*t**3 - 20 - t. Give p(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*d = 12, 2*c - 16 = -2*c - 4*d. Let v(q) = c*q - 59 + 59. Let a(h) = 2*h. Determine v(a(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(216)\/(-3*sqrt(9) - sqrt(9)))\/sqrt(12).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onstntnono. Give prob of picking 3 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.189784 * 34\nAnswer: -6.452656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -9. Let y = -4 - n. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 16.875.\nAnswer: -84.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1224545034 (base 6) to base 3\nAnswer: 222202212221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17256 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4708\/(-17976))\/((-22)\/8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -10*y + 13*y + 282, 0 = -5*y - 10. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a - 17. What is the remainder when 159 is divided by g(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 795804*b**3 - 6*b**2 - 78986?\nAnswer: 4774824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5318 - 2955. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(((-28)\/(-4))\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 604\/(-8))*-2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187480 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3120, 3134, 3148, 3162?\nAnswer: 3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4525, 9064, 13625, 18214, 22837?\n\"Answer: c**3 + 5*c**2 + 4517*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8886.581 years?\nAnswer: 106638.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, r: 3, m: 8, e: 2}. Give prob of picking 1 r and 1 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 60 + (98 - 99)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-6))\/(2\/(-6)). Let n = 106 - 76. Let l be 3\/n*25*6\/5. Solve -4*u - l = -b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2 + 15*h + 10. Let b(y) = 11*y**2 - 22*y - 15. Let d be -1 + 18\/(5 - 2). Let l(m) = d*b(m) + 8*i(m). Is l(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 + 155*o**3 + 318*o**2 - 620*o - 1256 = 0. Calculate o.\nAnswer: -2, 2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*(-60)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/8 - (-2 + 0). Let o be 4\/12 - n - 3. What is the nearest to -1 in 0.2, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*u**2 - 33*u + 0 + u**3 + 2 - 48*u**2 wrt u.\nAnswer: 6*u + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n. Let r be b(3). Suppose 0 = -2*i - r*i - 25. Let u = 11 + i. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 2*p**2 - 7*p**2 + (-6*p - 3*p + 3*p)*(795 - 795 + 16*p).\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 9*v - 52. Calculate s(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10785 - 10720. What is the remainder when g is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/38 - 800\/(-19) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 672 = -17*j. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 1, a: 3, b: 3, i: 1, s: 1}. What is prob of picking 1 i and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 + 5*d + 13. Calculate the remainder when x(4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1691 - -82.\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 - 59 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/25 - 6557\/79.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4 + (-27)\/6)*-1. Does 2 divide 2 - 3 - r*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:21 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 938192 and 686452.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 20*d - 27*d. Let a = d + 22. Suppose -n - 4 = -a. Is n <= 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, z: 1, o: 1, l: 4}. Give prob of sequence lr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (1*sqrt(396))**2) - (sqrt(396) + (1 + sqrt(396))**2 + -5 + -3).\nAnswer: -790 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.82 + -0.78. Let n = -33 + 26. Let q = n - z. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**3\/6 - 10*t. Let h(p) = -8*p**2. Determine h(y(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from {l: 4, n: 2, a: 3, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3 in ascending order.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 5*r. What are the prime factors of (r\/4)\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27355127 divided by -6\nAnswer: -27355127\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 0*n - n**2 + 50 - 2*n**3 + 6 + 5*n in the form b*n + d + v*n**2 + l*n**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9783392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -2, 5, 109, 1, -4 in ascending order.\nAnswer: -4, -2, 1, 5, 109, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/11 + 14460*b**2\/11 + 489906*b\/11 + 4159288\/11.\nAnswer: 2*(b + 17)**2*(b + 7196)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogso when four letters picked without replacement from ssoosgs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-144)*12)\/(4\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314*(-14)\/182 + 24.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 - -501. Calculate the smallest common multiple of w and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243672044 * -0.5.\nAnswer: -121836022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.123020589727 less than -5?\nAnswer: -35.123020589727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5548 - -5551. Which is the closest to 1\/5? (a) 4 (b) k (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1084, -2151, -3218, -4285?\n\"Answer: -1067*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9*n + 28 = 196. Calculate the remainder when 41 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20343761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1532030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 61*t**3 - 7*t**2 + 38*t**3.\nAnswer: -23*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-9)\/6)*-3. Suppose 0 = i*p - 27 + 5. Let h = p - 6. Solve 2*a - 4*x - 9 + 1 = 0, h*a + 3*x = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -3, -1.8, -177?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = 1. Let o = 3 - m. Is 16 a factor of ((-26)\/o)\/(4\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24 - 3 + 8*t - 65*t**2 + 71*t**2. Suppose -42 = 4*k + 5*q, 2*k + 7 + 1 = 4*q. Is o(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 159*k**2 + 3562*k - 250. Let w be m(-132). Suppose -3*n + 8*n = 15. Solve -w = -2*l + n*p - 6, l + 2*p = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7884245 to 2 dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b + 17. Is 13 a factor of z(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -533, -635, -781, -971?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 214320064263 and 54?\nAnswer: 214320064209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 - 3 = -3*i, -3*i = 2*z + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g**5 + 6*g**4 + 6*g**2 - 6. Let r(o) = 29*o**5 + 11*o**4 + 12*o**2 - 11. Let y(b) = 11*h(b) - 6*r(b). Find the third derivative of y(u) wrt u.\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6660217484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167 - -169. Suppose -2*b - 9 + 13 = -l*f, 12 = 4*b - 2*f. Factor -1\/2*y**5 + 0*y**b + 0*y**2 + y**3 - 1\/2*y + 0.\nAnswer: -y*(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128324 = 1273*x + 455*x + 1040*x + 82044 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159439?\nAnswer: 7, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1371*w + 10603 + 3665 - 913 = -4468 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 7*a - 15, 2*v - 14*a + 10 = -10*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2933*w**5 + 55*w**3 + w**2 + 2782*w - 3240.\nAnswer: 58660*w**3 + 330*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1264.2366 months to millennia.\nAnswer: 0.10535305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q. Let c(j) = -j**3 - j**2 - 2*j - 3. Let r be c(-3). Let v(z) = r*z + 22*z - 45*z. Calculate a(v(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68683 divided by -16?\nAnswer: 68683\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253884098.\nAnswer: 2, 3, 208980683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Let h be 1*w\/3 + 1. Let d(t) = -2*t**2 - 8*t**2 + 4*t**3 - 1 + t**2 - h. Let l(f) = 2*f**3 - 5*f**2 - 1. What is -3*d(b) + 5*l(b)?\nAnswer: -2*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 97*m**3 - 21599*m**2\/4 - 422827*m + 1771560 = 0. What is m?\nAnswer: -45, 4, 133, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**5 + 4*c**5 - 2*c**5 + (c**3 + 3*c - 3*c)*(c**2 - 6*c**2 + 3*c**2) + 187*c**4 - 187*c**4 - 4*c**5 + 31*c**5.\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 18. Let r be m(-6). Suppose 5*s - 196 - 190 = v, -3*v + 3*s - 1158 = r. Let q = 745 + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -1) + -12 + 21\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 10. Let p(m) = 2*m - 9. Let k(b) = 3*h(b) - 4*p(b). Let f be k(-3). Solve -f*n - 15 = -6*l + 3*l, 4*n - 3*l = -15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let s(q) = 2*q**2 - 10*q. Give y(s(o)).\nAnswer: -8*o**4 + 80*o**3 - 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose r = -4*o + 5, o + q = -o. What is the remainder when 17 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 9*y**2 + 7*y + 8. Calculate l(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = z + 10*f - 180, -2*f + 328 = 2*z. Calculate the lowest common multiple of z and 6.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 2*o - 2*o. Let f(v) = 14*v**2 - 9*v. Let l(x) = -x. Let h(m) = -f(m) - l(m). Let q(t) = -t**2 + t. Let g(j) = -h(j) + 10*q(j). Give g(b(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 202330*n + 404641*n - 202322*n.\nAnswer: -11*n - 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 4. Let q be h(1). Let z(x) be the first derivative of -22*x**2 + 2*x - 1. Let p be z(q). What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0509642 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n + 6. Let j be f(-6). Suppose j = -3*p - 10 + 4. Let q(i) = -5*i**3 - 2*i**2 + i + 1. Is q(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, i: 6}. Give prob of picking 2 p.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2, -1\/2, 7\/3, 0.10742?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 2469578*b**3 + 1524656951817*b**2 + 57939638749456*b + 550435037667904.\nAnswer: (b - 1234808)**2*(b + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q - 28. Calculate b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -4*k - 3*l + 20, -5 = -k + 3*l. Let p(u) = -6*u + 9*u + 2*u - 3*u - 3. Let c be p(2). Put 4, c, k, 0 in increasing order.\nAnswer: 0, c, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 90*w + 1672. Let m be c(64). Calculate the greatest common factor of m and 6008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.01013686.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-24)\/18*(1 + -4) and -1*(-1)\/2*(19 - -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -28.6, 1\/2, 2, 1, -0.5, 32\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let o(y) be the third derivative of 1\/10*y**5 + 0*y + 24*y**2 + 0*y**4 + 0*y**3 + 0. Give q(o(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*d + 33*d - 75*d in the form u + p*d and give p.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 16*x + 11*x - 7*x to o + y*x and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**8\/336 - f**6\/9 + 10*f**4\/3 - 20*f**3\/3 + 21. Let r(h) be the third derivative of k(h). Suppose r(g) = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -56. Put 0, -5, k in ascending order.\nAnswer: -5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a9 (base 11) in base 3?\nAnswer: -1011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1222 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02696956242 to 5 decimal places.\nAnswer: -0.02697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -164, -145, -112, -59, 20?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by 3209?\nAnswer: 89\/3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.1 + -58.9. Let t = b - -70.999959. What is t rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, -3.\nAnswer: -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u. Let v(p) be the first derivative of -31 - 1\/3*p**3 + 0*p + 0*p**2. Determine v(j(c)).\nAnswer: -441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2\/2 - 49\/21*-6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88318 = 5*x - h, 5*x - 16*h = -13*h + 88324. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11695024*z**4 - 9*z**3 - 2*z**2 - 25*z + 2244148?\nAnswer: -140340288*z**2 - 54*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344387481.\nAnswer: 3, 53, 2165959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62201 + -34133. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2379*o + 2433*o + 2376*o + 2378*o - 9566*o - 25*o**2.\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) + 0 - -37. Let z = 153 + -83. Suppose 0*f = -5*f + z. Calculate the greatest common factor of c and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5 + 25*i**4 + 25*i**3 - 125*i**2 - 200*i - 80.\nAnswer: -5*(i - 4)**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 12 = -4*d. Let c(r) = r**2 + 9*r + 2. Let l be c(d). Solve 0 = l*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -65*f**4 + 8031*f**3 - 4432*f**2 + 492*f = 0.\nAnswer: 0, 2\/13, 2\/5, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 50492.46nm?\nAnswer: 0.00005049246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 14962?\nAnswer: -4488.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*s*x**5 - 1454747*s*x**4 + 21*s*x**2 - 2700163*x**2 wrt x?\nAnswer: -1560*s*x**2 - 34913928*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 - 2*n + 3. What is the lowest common multiple of 6 and m(2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -52 + 1 + (-4 - -13)\/3. Let h be 36\/d - 107\/(-4). Solve 23 = -0*q + 5*q + 2*p, h = 5*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 338525922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 356344 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: How many minutes are there between 11:42 PM and 9:38 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18447 + 18443.9449. Let r = c - -0.0551. Let d = 1 - 3. What is the nearest to d in 0.5, 1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/9 + -2)*3. Calculate the remainder when 20 is divided by a + (0 - -1) + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 25. Let y(q) = -803*q + 402*q + 2 + 404*q - 15. Give -4*d(k) - 10*y(k).\nAnswer: -2*k + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28786?\nAnswer: 2, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.191*-0.2.\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + j**2 + 2*j - 4*j**2 + 4*j**2 - 3*j**2 - 2*j**4 as f*j + i*j**3 + s*j**4 + w + u*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, x: 2, z: 7}. What is prob of sequence zxz?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 82*l. Let c(s) = 3*s. Give c(a(f)).\nAnswer: -3*f**2 + 246*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, -1910, -13371, -39908, -87575, -162426, -270515?\nAnswer: -417896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/9 - (-8)\/(-12)*3. Let l = 8 - 8.1. Which is the closest to l? (a) 1\/4 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 - j + 2. Let m(c) = 5*c**2 - 32*c + 10. Let t be m(6). Let f be n(t). Let a be 2\/(-6) + (-15)\/9. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 7. Is f(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17190090040+0.11\nAnswer: -17190090039.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s**2 + 12*s - 84. Let v be p(7). Let m = 445 - v. Solve 3 = -m*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4157*g - 101037 + 296416 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 77*b**3 - 28*b**2 + 85*b - 22. Let y be n(18). Round y to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-5)*435\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217602.\nAnswer: 2, 3, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210782 divided by -16?\nAnswer: -105391\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*342\/(-2565)*3*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {j: 1, i: 1, n: 2, b: 1, k: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 8*x - 12. Let k be l(5). Suppose -k*i - 10 = -8*i. Let t be (-3)\/6*8 + 15. Solve -3*m - 4*v - 43 = -t, i*m = -3*v - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2 + (2 - 7\/7). Let j be t\/(-8)*(8 + 12). Suppose k + 10 = -j*i - 0*i, 4*i = -16. Calculate the smallest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 105*p + 2363. What is c(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-4)\/34 + 92133375\/3281 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/(-24))\/(4\/(-56)). Solve -166*u = -159*u - w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/3337000 and -109\/15620.\nAnswer: 36707000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7473011046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 84*u - 89. What is f(43)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + w)*(-3*w - 5*w + 0*w) - 2*w**2 + 0*w**2 + 3*w**2)*(3*w + 12691*w**2 - 3*w - 13122*w**2).\nAnswer: 3017*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 354044 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125087 and 424714.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 14*d + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1898, -4206, -6514, -8822?\n\"Answer: -2308*u + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3*c)\/c**(-4\/9))\/(c**(-3)*c\/((c\/c**(3\/2))\/c)))\/(c**2\/c*c**(-1)*(c**(2\/11)\/c)\/(c**1\/c)) assuming c is positive.\nAnswer: c**(1141\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4032)*-1 + (sqrt(4032) - ((sqrt(4032) + (sqrt(4032) - (sqrt(4032) + 1)) + 3 - sqrt(4032)) + sqrt(4032))) + 5)**2.\nAnswer: 432*sqrt(7) + 36297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*m + w, -3*m - 94*w + 11 = -102*w + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2257\/24 + 290\/3. Let b(y) = -y**3 - 2*y**2 - 2*y - 1. Let p be b(-2). Find the common denominator of 0 + (0 - 14\/p) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m - 30 = -107*m. Suppose 5*t = -4*i + 93, 3*t - 71 - 1 = m*i. Calculate the remainder when 79 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 290 or 2033\/7?\nAnswer: 2033\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22013 + -21968. Solve y*a - 378 = -18*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, d: 1, q: 3, p: 1, k: 6}. Give prob of picking 1 q and 1 k.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5373098148 to the nearest integer?\nAnswer: 73301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 64 = -0*m. Suppose 10 = s - 2*b, 0 = 5*s - 2*b + 5*b + 15. Suppose 9*r + r - 80 = s. What is the least common multiple of r and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from dbscmddmspssssd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880084 is divided by 146517.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52559.167021 take away 10?\nAnswer: 52549.167021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12 = 3*r + 2*r, 5*r - 3*o = 9. Let q(b) be the first derivative of 0*b + 4\/3*b**3 + r*b**2 + 1. Let f(l) = -l**2. What is q(f(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 5) to base 16.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 13*p**2 - 14. Give r(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, 273, 603, 933?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + n)*(-3 + 5 + 0)*(11 - 10 + 31)*(6 - 6 - 4*n)*(-3 - 2 + 4).\nAnswer: 256*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*9\/60)\/(4320\/384).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20475 - -20597.91. Let j = g + 1.09. Is j at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49811 + 20330. Let s = y + -18519. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/((837\/36)\/(-31))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7127125 centuries to years.\nAnswer: 71.27125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6\/c)\/c)**(-41) assuming c is positive.\nAnswer: c**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 + -179.986. Round g to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 3*i. Suppose 0 = -5*a + i + 7. Suppose -216 = -v - a*v. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -81*z**2. Let b(t) = -3718*t. Calculate j(b(o)).\nAnswer: -1119705444*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from {k: 3, n: 8, y: 2, v: 7}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -25*v + 1. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 321984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1428760 and 179\/559080?\nAnswer: 12858840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*x = 2*w - 19, -5*w + 3*x + 14 = 0. Suppose 2*r + 3 = -w. Does 8 divide (3\/r)\/(1\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7957989487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.78 * -5115.\nAnswer: 177899.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*d = -210*d + 15. Which is the second biggest value? (a) -0.02 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/13 (b) 2\/57 (c) -0.06 (d) -0.4 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(4 + sqrt(180)) + 5)**2.\nAnswer: 108*sqrt(5) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*76\/95\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.186925 plus 7?\nAnswer: 6.813075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 603*o + 142. Let n(c) = 3*c. Calculate u(n(d)).\nAnswer: 1809*d + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 o when three letters picked without replacement from oqdooodqgqa.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -137 + 0.3\nAnswer: -136.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:26 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6\/4)\/(-3)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 2*o + 72. Suppose 13*g = 193 + 196 - 103. What is the remainder when j(0) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143549, 1, 3, 0 in increasing order.\nAnswer: -143549, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*f - f. Suppose 4*i = -5*m - 4, -2*m = -2*i - 5 - 15. Let s(z) = -z**2 - 5*z + 8. Let w be s(i). Solve -r + f = 2*b - w*r, -b - 3*r - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-184)\/(-6) - (-2)\/(-3). Suppose 0 = 5*c - 0*c - 30. Suppose -c = -0*b - b. Calculate the greatest common divisor of q and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 1411, 2116, 2821, 3526, 4231?\nAnswer: 4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 111 - 4*b**2 - 68 + 8*b + 8*b. Does 12 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 2420 + 4835 - 2415.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let o(t) = -1786*t + 134. What is o(r(y))?\nAnswer: 1786*y**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13123 (base 4) to base 6\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/7)\/p*p**4)\/((p*p*p\/(p**(-5)*p))\/p**(-2\/3))*(p**(-5)*p**(-1)*p)\/((p**(-4\/3)\/p)\/p**(-1\/6)) assuming p is positive.\nAnswer: p**(-85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 2*u + 44298 = 50*u. Calculate the remainder when u is divided by 163.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from kdhkhxdxhxxkdh.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 - 483. Let w be m\/5 - (-1)\/(-5). Let o be (4\/(-5))\/(16\/w). Solve 1 = s - o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(5 - 98\/21). Suppose -u - 2*z - 10 = -40, 100 = 4*u - f*z. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 6331.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 0) + (441 - 428)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by 3.\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 128\/22 + 0 - 4\/(-22). Suppose y*t - 312 = 12. Let u be (-2)\/13 - t\/(-13). Solve -u*m + 2*w = 4, m - 23 = 2*m + 5*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 - 36 = 0. Let v be (20 + -4)*3\/y. Solve -v = 3*w - n, -n - 5 = 2*w - 2*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxpupxxppu. Give prob of sequence px.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, i: 1, x: 3, m: 4}. What is prob of sequence mj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-15 - 1)\/4. Let h = u + -1. What is the remainder when ((-33)\/55)\/((-4)\/280) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -331, -818, -1395, -2056, -2795?\n\"Answer: z**3 - 51*z**2 - 341*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*i + 185*i - 271*i - 1972 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -85 - -73 - (-1 - (-24 - 0))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2913629576 to the nearest integer?\nAnswer: 53978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -15. Suppose w*y + 738 - 2238 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 19 = 3*l. Let w = l - -37. List the prime factors of w + 1*(-1 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 698524140 and -493508.\nAnswer: 698030632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/12*-6)*54\/(-864)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182032951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -156.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 33*u + 331. Determine b(-44).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let y(a) = -192*a. What is -16*g(l) + 2*y(l)?\nAnswer: -400*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {w: 3, j: 1, e: 8, b: 2, n: 5, m: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8834 = 24*z + 8786 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -m + 56 - 61, 17 = 2*c + 3*m. Let -1\/12*h**3 - 1\/12*h**c + 0 + 0*h + 1\/12*h**2 + 1\/12*h**5 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(23\/115 - 9\/20). Is (-5 - -7)\/(p\/(-174)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - 95 - (0 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -2*b**3\/3 + 620. Let a(t) be the third derivative of 0 - 8*t**2 - 1\/2*t**4 + 0*t - 1\/3*t**3. Give a(f(j)).\nAnswer: 24*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -93*u**2. Let q(b) be the third derivative of -5*b**4\/3 - 2003*b**2. What is a(q(v))?\nAnswer: -148800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**4 + 2*x**4 + x**4 + (2*x**2 + 5*x**2 - 5*x**2)*(-2*x**2 + 3*x**2 - 2*x**2))*(4 + 13 + 1) to i*x + g*x**2 + p*x**3 + k*x**4 + o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-4)\/((-16)\/(-1036)). Calculate the highest common divisor of 356 and y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/61108379 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 13 - 14 + q**5 - 3*q**2 + 13. What is the second derivative of i(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*a - 598*a + 149*a + 151*a + 152*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15\/20 + 60438\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 12. Let j be t(-5). Let m be 0 + -1 + j\/(-40). Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:02 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - (-35)\/(-4))*-4. Suppose -f*u + 14 = -25. Solve -31 = 2*j - 2*o - u, -5*j = -3*o + 35 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/4 - 2*w**3 - 3*w**2\/4 + 13*w\/2 - 4 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4\/6 + s**3\/6 - s**2\/2 + s. Let a be z(-3). Let v be (2\/4)\/(1\/a). Solve 5*o - v = -0*n - 3*n, -3*n + 3 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1104 or 1?\nAnswer: 17\/1104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5218 = -34*d - 5490 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 159*g + 499. Calculate z(-52).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/121, -3, -2 in increasing order.\nAnswer: -3, -2, -2\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - -2*sqrt(2880)*-2)\/((sqrt(72)*2)\/sqrt(8)*-6))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + k + 19 = 0, 2*c - 3*k = 12 + 5. Let v(s) = s**2 + 132*s - 823. Let q be v(6). Solve -q*j - 4*w = -0 + 14, -c*j = w + 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19188, 76869, 173012, 307623, 480708, 692273, 942324?\nAnswer: 1230867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1060 divide 15444200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -182, 1, 23, -113 in descending order.\nAnswer: 23, 3, 1, -4, -113, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*l**3\/2 - 3082*l**2\/3 - 5621*l\/6.\nAnswer: l*(l - 77)*(81*l + 73)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1641 - -3231. Suppose 4*v + 46808 = -0*r - 2*r, v + 23407 = -r. Let g = c - r. Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = -3*t + 1121, -543 = -2*w - 5*t. List the prime factors of w.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*i - 57528 = 61*i. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7712.2 + 7712.15. Let o = 28 - 18. Sort o, -2, u.\nAnswer: -2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**(-4\/11)*(d*d*d**(-15)*d*d*d)\/d**5 assuming d is positive.\nAnswer: d**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 88468573?\nAnswer: 88468572.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 + 227*s**3\/7 + 2124*s**2\/7.\nAnswer: -s**2*(s - 236)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 294600.\nAnswer: 2651400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 3 (c) 6\/11 (d) 291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -7. Suppose 0 = -q*k + 5*d - 673, -2 = 2*d + 6. Let h = -50 - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1*2\/(-2). Suppose g*z - 7*z = -57. Determine s, given that 4*s**3 + 2*s**4 - 2*s**3 + 19 - z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -75.7. Let y = g + 38. Sort -2, y, 0.2 in descending order.\nAnswer: y, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q + 17*q + 85 - 29*q + (0 - 1 + 2)*(-q - 2*q + q).\nAnswer: -3*q + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/5326095 and -8\/1775365?\nAnswer: 5326095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-12) - (-2)\/6. What is the common denominator of 52\/65 + -1*1 - 4 and (3 + 40)*m\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 3191*z**2 + 11100*z - 70053. Give v(-1592).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.1, -1\/17, -17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*1 + (-54 - -44). Is (1\/g)\/(8\/(-1079736)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/35)\/(2\/25). Let x be 2\/4*1*10. Suppose 185 = x*i - w. What is the remainder when 127 is divided by i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 51 - 5*n + 96.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*x - 16578 = -16602, 0 = -u - 5*x + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444911, -889825, -1334733, -1779635, -2224531, -2669421?\nAnswer: -3114305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:06 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, -4, 0, 2936, -3, 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -78. What is the least common multiple of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 41*q + 180 = 0. Let a(d) = d + 14. Let l(x) = -x - 15. Let r(u) = -3*a(u) - 2*l(u). Determine r(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*i**3 + 0*i + 2*i - 1888*i**4 + 1880*i**4 to the form k*i**4 + n + p*i + w*i**2 + b*i**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297 (base 11) in base 16?\nAnswer: -68f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5918442057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*x**6 - 4*x**5 - 21*x**4 - 1392*x**2 + 8?\nAnswer: 10560*x**3 - 240*x**2 - 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250\/3 + 84. Let s = 7 + -2. Do s and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 15*d. Let v(m) = -6*m. Give v(g(u)).\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248783981\/28610652 + -13\/55447. Let n = -74\/43 + z. Calculate the common denominator of 43\/10 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -79275*x**2 + 280*x - 350. Let s(o) = -10229*o**2 + 36*o - 45. Determine 70*s(a) - 9*z(a).\nAnswer: -2555*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243684489?\nAnswer: 3, 1129, 71947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and 50\/6597?\nAnswer: 13194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*-9*(-16)\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 989, 1977, 2965?\nAnswer: 3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1021 = -4*l, -2*l + 3*c + 497 = 8*c. Calculate the highest common divisor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -617607?\nAnswer: -617609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2846*l - 8521. Give o(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 577 + 391. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -657342 divided by -37\nAnswer: 17766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(16\/7 + -2). Let b be -123*c\/(-6) - 1. Let n(m) = 43*m**2 + b*m**2 - 82*m**2. Let a(z) = -5*z. Calculate a(n(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 8*f**2. Let y = -17 - -9. Let x be s(y). Solve 2*n = 3*a - 3, 5*a - 5 = -x*n - 4*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61380938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -764 or -766?\nAnswer: -766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 m when four letters picked without replacement from {k: 7, c: 2, r: 1, m: 3, y: 1, p: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 624 + -274. Let m = k + -352. What is the third smallest value in m, -3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3 + -8299.89039.\nAnswer: -8297.59039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28668019.\nAnswer: 28668019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370 - -385. Suppose 9*v = 7*v + 4*k + 2, -v - 5*k + z = 0. Let q = -2.96 + 3. Sort -1, v, q.\nAnswer: -1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*sqrt(121)*-1)\/(sqrt(77)\/(sqrt(56)\/sqrt(2))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/5))\/u)\/(u*u**(1\/7))*u\/(u*(u\/((u**(-1\/3)\/u)\/u*u))\/u)*u*u**(2\/23) assuming u is positive.\nAnswer: u**(-1906\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20*(-9200)\/(-480)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32162.84 take away 21109278?\nAnswer: -21141440.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1094, 2215, 3364, 4541, 5746, 6979?\nAnswer: 8240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -302100?\nAnswer: -302023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 3)**2) + -3 + 2 + (sqrt(192) + -1)**2 + sqrt(192) - -4*3*(sqrt(192) - sqrt(192)*-1)*-5.\nAnswer: -1008*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11\/((u*u**(2\/25))\/u*u)*((u\/(u**(2\/21)*u*u))\/u)\/(u\/u**(2\/13)))**(2\/61) assuming u is positive.\nAnswer: u**(95258\/416325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 + 2*b + 1. Let s be i(-2). Suppose w + 1 = -5*k + 8, -4*w - 5*k = -13. Let u = 3 + 0. Sort u, w, s in decreasing order.\nAnswer: u, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -631, -5, -1\/2?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Let s be a(2). Find the second derivative of 6*h**s - 17 + 8*h + 17 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 436?\nAnswer: 16132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9\/10 (b) -0.3 (c) -0.1 (d) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/115*4*4\/(-48)*4*20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -504378 divided by -72054?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -105, -114, -127?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2*i + 0*i - i. Let o(j) = -4*j**2. Calculate x(o(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 28. Solve l*c - 3*c = 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(((k*k\/k**9*k)\/k)\/k)\/k)*k**(1\/10))\/((k*k\/k**(2\/5)*k)\/(k\/((k*k**0\/k*k)\/k))) assuming k is positive.\nAnswer: k**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3324761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-61)\/4)\/(-1)*1872\/2340 and 9\/3016.\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*w + 35, 4*d + d + w = -45. Let u be 60\/(-9) - 2\/6. Let x = u - d. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195120990 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - d - 19, -6*l + 38 + 13 = -3*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjbjtzjubwjjjjzwu. What is prob of sequence wuj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118716891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 5*f**4\/12 - f**3 - f**2. Let c = -7 - -1. Let u = 78999 + -78986. Let j(q) = 21*q - 13. What is c*j(g) + u*m(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 105, 106?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b + 15. Let p be l(6). What is the highest common factor of 180 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*g + 1303*g - 7915*g - 321*g.\nAnswer: -8147*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {a: 1, o: 4, t: 9, p: 2, u: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f + 2. Let j = 12 - 15. Is w(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10836 and 13188.\nAnswer: 1701252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 14. Suppose 0 = -4*y + l*y. Does 6 divide y + 0 + 10 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 167 = -5*f, -4*l - 4*f = l - 368. What is the highest common divisor of l and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9057 + -5028. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16901*c**2 - c. Let n be u(1). What is n rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13902)\/(-10) - (-126)\/(-105)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341063?\nAnswer: 341063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51355510054 + -2?\nAnswer: 51355510052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772025 is divided by 261.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**6 + 2. Let c(t) = -3*t**6 - 2*t**3 - 12*t**2 - 3. Let f(g) = c(g) + 4*u(g). What is the third derivative of f(m) wrt m?\nAnswer: -840*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.15932602 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 115. Let r be q(22). Let o = -1.16 - -0.76. Which is the closest to -6? (a) r (b) o (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3382209, 6764376, 10146543, 13528710, 16910877?\n\"Answer: 3382167*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 810294.\nAnswer: -3\/270098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/55 and 6\/35555.\nAnswer: 391105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -769.4 to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9645581.\nAnswer: 11, 876871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**3 - n + 4. Let x be l(2). What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 2980664*f**3 + 2221116296038*f**2 + 39979369030248*f + 179906074190649.\nAnswer: (f + 9)**2*(f + 1490323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 - -340. Suppose -n*v + 36615 + 159171 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186 - 1a48?\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -782 + 898. What is the least common multiple of i and 44?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1736 and 434.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + (6 - (-13 + 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3)*-9 - 2. What is the highest common divisor of n and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 - -195. Suppose 5*b = 5*j + 2*b - 885, b = -3*j + 545. What is the remainder when j is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 + 1 = 2*f, 5*l + 4*f - 9 = 0. Let x be (1 + -1)\/((-3)\/l). Solve x = -h - 5*s + 2*s - 7, -3*s = -5*h - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1936) + sqrt(1936) + -4*(sqrt(1936) + -1*sqrt(1936)) - sqrt(1936))\/(((-2*sqrt(110))\/sqrt(5))\/(sqrt(11) + 1*sqrt(704) + sqrt(11))).\nAnswer: -110*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-170)\/(-714)*(-48)\/200.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134656634 divided by -1.\nAnswer: -134656634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 - k**5\/60 - 17*k**3\/6 - 17*k**2. Calculate d(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -1014 + 1022. Does 34 divide (-89 + -1)\/j - (1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6306054841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/155 (b) -0.3 (c) 1465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = -k + 13*k + 7*r + 23, 0 = -k - 2*r - 13 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xdxdxxxx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 24.93. What is the biggest value in 1, -0.2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/10)\/(81\/(-30)) and 56\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -11*b**2 - 2*b - 6*b**2 + 7*b**2 - 22 - 16*b**2. Let w(a) = a. Calculate w(q(m)).\nAnswer: -52*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 14317 = -169*g - 23*g for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 53. Suppose 76 = r*p - 116. Calculate the remainder when 46 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:14 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-7\/12)*s\/s**(4\/3)*(s\/(s**(-1\/2)\/s*s)*s)\/s)\/((s**(-1\/3))**(-4\/7)*((s**(-2\/3)\/s)\/s*s)\/s**(2\/3)) assuming s is positive.\nAnswer: s**(229\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169831 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 615450454 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 19*q - 55 + 55.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 6 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j - j)*(0 + 0 + 2 + (-1 + 4 - 6)*(4 - 12 + 6) - 1 - 3 + 2).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 4*w + 1. Let f be r(-3). Let d be 9\/2 + (-2)\/f. Let m = d + -1. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3 + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o - 200. Let t = o + 53. What is the units digit of 8\/t*798\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 12*k**2 + 3. Let n(b) = -2*b**3 - 23*b**2 - b + 6. Let t(p) = 6*n(p) - 11*s(p). What are the prime factors of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-104)\/364)\/(3\/(-1806))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3. Let n(l) = 4*l**3 + 2*l**2 - l. Let z(j) = -n(j) - 4*o(j). Let d(h) = h + 7. Let r be d(-6). What are the prime factors of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 2274 = 539*m - 146*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/9 - 904*c**3\/9 + 1976*c**2\/9 + 72640*c\/9 = 0.\nAnswer: -454, -8, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**2 + 1028*x - 516*x - 59 - 492*x wrt x?\nAnswer: 4*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.2193 at most as big as 570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19625919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1918, -2198, -2658, -3298, -4118?\nAnswer: -5118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*b = -5942, 4*f = 2*b - 5003 + 16851. Is f at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -12*u**5\/5 + 10*u**2 - 16. What is the second derivative of v(g) wrt g?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 2*w + 1. Let z(y) = -y**2 + y - 1. Determine -b(v) + 4*z(v).\nAnswer: -v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 - 4*k - 18*k in the form f*k + d and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 - (300\/(-135) - 11). Suppose 206 = 2*s + 14. Suppose o - s = -k - 0*o, -2*o = 3*k - 283. Calculate the greatest common factor of k and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -30 in increasing order.\nAnswer: -30, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109082398 rounded to 5 decimal places?\nAnswer: 0.10908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.9. Suppose 4*x - 2 = 2*g, x - 2*x = 3*g - 11. Let z be x\/(-4) - (-1)\/(-4). What is the closest to i in z, -2, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 11?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a33 + -61d?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8. Let x = p - -21. Let q = x - 21.7. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 36*i**3 + 8 + 0.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((34*z**2 + 35*z**2 + 46*z**2)*(0 + 13 + 5) + 5*z**2 - 3*z**2 - z**2)*(-5 + 2 + 1).\nAnswer: -4142*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19160998?\nAnswer: 2, 127, 75437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 339. Suppose 0 = -4*h, 3*i - 7*i + h = 0. List the prime factors of u(i).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7358?\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16797 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92568 by 56.\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*l**2 - 4 + l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -144.9 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/1410 and 70\/1269.\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let i be (-31)\/(-2) + 0 + y. Let o = 53\/3 - i. Which is the nearest to -2\/3? (a) -4 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2906642 and 2.\nAnswer: 2906642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 64 + 44 = -2*m + m, -39*p = 4*m + 850 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*c - 29. Let z be 0\/(((-2)\/c)\/((-7)\/(-35))). Is z greater than or equal to 1\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.387 and -3.\nAnswer: -1.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - c**4 - c**4 - 29*c + 31*c + 9*c**3 to g*c**4 + n + h*c + a*c**3 + i*c**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((sqrt(228)\/sqrt(6))\/sqrt(2) - (sqrt(228)\/(1*sqrt(12)) + sqrt(19)))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/669, -0.1 in ascending order.\nAnswer: -0.1, 1\/669, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3180 and 540.\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31137 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 369926.262 rounded to the nearest 100?\nAnswer: 369900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4813*b*h**3*j - 2*b*h - 6*b*j + 40*h**3*j + 5*h**2*j + h*j - h - 12*j wrt h?\nAnswer: 28878*b*j + 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -778 + 779. Solve 11 = -3*v + 3*z - n, v = 2*z - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 869638*k - 950. Let w be j(25). Round w to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-42)*3*217\/(-62).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214407 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 3*x**2 - 4*x - 4. Let o be r(-4). Suppose -2*b = -o + 70. List the prime factors of b\/35 + (-68)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5854, 12063, 18356, 24733, 31194?\n\"Answer: 42*l**2 + 6083*l - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 105*f**2 + 5*f - 179. Give r(105).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -19. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/1845 and 91\/1476.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70994?\nAnswer: 2, 7, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 219*c**2 - 839*c - 93. Determine h(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 81243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0219 + -21.2781. Let n = x + 21. Put -2, 3\/5, n in descending order.\nAnswer: 3\/5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 21*q. Let v be b(-9). Calculate the greatest common factor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 85, 126?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2222222?\nAnswer: -2222233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-14)\/r**(-15))\/(r**(-3)*r)**19 assuming r is positive.\nAnswer: r**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206922 and 19.\nAnswer: 3931518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/308)\/(495\/1386)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000211302 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + k**3 - 5*k**2)*(k + k + 0*k)*(313*k + 977*k + 92*k).\nAnswer: 2764*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 13*k**2 - k + 15. Let s be o(13). Suppose 3 = d - s*d. What is the closest to -2\/5 in -0.3, d, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-267)\/(-24) + -8 + 3\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50728 divided by -7\nAnswer: -50728\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 92)*(-30)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938 divided by 938.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 2*b + 13. Suppose 3*z + 9 = -3*w - 18, 4*w + 5*z = -39. Determine l(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 129\/15 - 4\/(-10). Let j be (1 - (3 - 1))*1. Is 5 a factor of ((-1)\/3 - j)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.047 - -9. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -1 (c) 29\/4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2519808635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**6\/3 - v**3 + 9*v. Find the second derivative of i(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/57 + -12\/19. Let s be 4 - (4 + -9) - 88\/22. What is the closest to s in c, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/791 and 20\/339.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 35 = -2*u. Let b = u + 9. Suppose 15 = -b*k + 7*k. Calculate the lowest common multiple of 4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2329*y**5 - 6*y + 85?\nAnswer: 46580*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**3 + w**2 + (w**2 + w**2 + w**2)*(w + 0*w - 2*w))*(3 - 3 - w**2).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + 510*b**2 - 445*b - 10481. What is w(169)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*z - 6 = -3*z, -x - 6 = 3*z. Suppose 3*p - 2 = 10. Let h be 6\/8 + 13\/p. Solve h*s + 5 + 3 = x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2054 - 3?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -672*m + 398*m + 683 + 139 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -2\/3, 0.3.\nAnswer: -5, -2\/3, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 49*s**2 + 101*s + 363. Calculate the remainder when g(-47) is divided by 9\/(1 + -1 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115616 divided by -7.\nAnswer: -115616\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2352048898 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35333637431\/1393476 + -4569\/66356. Let j = u + -25360. Find the common denominator of j and -77\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 4608.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -29.22. Let r = -1.28 - u. Is -1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130156 divided by -4.\nAnswer: -32539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3247 + g + g + 19*g + 0*g.\nAnswer: 24*g - 3247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 1, i: 2, t: 1}. Give prob of sequence ita.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o + 7. Let k(w) = -8*w + 7. Let v be k(2). What is the tens digit of j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 - (5 + 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 3, s: 4, w: 2}. Give prob of sequence wxws.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13343432 (base 5) to base 3\nAnswer: -20222102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1591473*q + 175722.\nAnswer: 1591473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12936 and 2042040.\nAnswer: 14294280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -249b - 2?\nAnswer: -24a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -57*r**2 + 94*r - 416. Calculate n(5).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/117 - -1\/117. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {y: 1, c: 2, j: 1, n: 1, t: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0\/2 + 5\/(-2) and (5\/8)\/(-2*(-5)\/220).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.51356 millilitres in litres?\nAnswer: 0.03251356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 350, 495, 602, 659, 654?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57895, 57900, 57905, 57910?\nAnswer: 57915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 20 + 10*h**2 - 19 + 2*h**2 + 9*h - 10*h. Let g(o) = o**2 + 6*o + 1. Let j be g(-6). What is the remainder when 71 is divided by k(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 7*z**6\/60 + z**5\/60 + z**2. Let y be f(1). Solve -y = 3*p, -k = -6*k + 4*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkn when three letters picked without replacement from mkkn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from trttstarrttrt.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 693 - 1013. What is the remainder when w is divided by 130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/195 or -3\/2?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 61945*s**2\/2 - 309787*s - 743460.\nAnswer: (s - 12)*(s + 2)*(s + 61955)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 1:19 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -1, 0, -1930.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 873233.\nAnswer: 92\/873233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2. Let l(b) = 17229*b. Determine l(a(w)).\nAnswer: 86145*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 583 + -196. Is a at most 387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256685248 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80613250756020*i**2 + 40153020*i + 5 = 0 for i.\nAnswer: -1\/4015302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*w + 5, -1 + 2 = w + r. Let g = 8 - w. What is the remainder when 11 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.4. Let j = 735 + -731. Let r = 4 - 7. Which is the second smallest value? (a) r (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11)\/(220\/45))\/((-2)\/59168*6)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422935198 + -0.1?\nAnswer: -1422935198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10327, -4, 2 in decreasing order.\nAnswer: 2, -4, -10327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -17 + (1 - 0) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(1216) + 1 + sqrt(1216)))**2 + ((sqrt(190) - 5*-5*sqrt(190))\/sqrt(10))**2 + 1.\nAnswer: 384*sqrt(19) + 71225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1050 and -131\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let n be a(12). Let q = n - -12. Solve l = -q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1677*l**2. Let n(z) = 2394*z - 2. Give n(c(w)).\nAnswer: -4014738*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 391 = 331 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, 468.\nAnswer: -4, 3, 5, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q + 4 - 6*q**2 - 2 - 2 to the form y + i*q**2 + g*q and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c - 7. Is b(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = p, -g - 23 = -5*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 59*v + 1689. Let s be f(80). Sort 3, -3, 5, -5, s.\nAnswer: -5, -3, 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**3 + 78*j**2 + 120*j + 36. Let h(b) = -30*b**3 - 155*b**2 - 240*b - 72. Let m(q) = -3*h(q) - 7*t(q). Factor m(k).\nAnswer: -3*(k + 2)*(k + 3)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-49 + -4 + 13 - (3 + -15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:50 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 68*u**4 + 66*u**4 + 7*u + 21*u**3 - 8*u in the form r*u**2 + y*u**3 + s*u**4 + k*u + i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228204*k**5 + 6*k**4 + 2*k**2 + 14425*k - 222 wrt k.\nAnswer: -4564080*k**3 + 72*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55323 + 87970*z - 55323.\nAnswer: 87970*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 840, 1517, 2056, 2457?\n\"Answer: -69*k**2 + 884*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -328 or -210200\/641?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let q(c) = c - 6. Let w be q(5). Let f(h) = 2*h**3 - 10*h**2 + 15*h - 163. Let g be f(6). Let r(o) = 1. Give g*m(s) + w*r(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 1, m: 6, s: 6, g: 3}. Give prob of sequence sqk.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4568 + -4557. Let r(z) = z**3 - 13*z**2 + 20*z - 5. What is r(a)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291448863 rounded to 3 dps?\nAnswer: 0.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*d + 10, -9 = -4*x - 0*x + 3*d. Let w be 9\/((-54)\/44)*6\/(-4). What is the second derivative of c + 6*c**x - w*c**5 + 5*c**5 - 6*c**3 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*z + 4 = -0*a, 0 = -4*a + 5*z + 14. Suppose -d = -a*d + 60. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 284*h**4 + 2*h**2*s*u + 5*h**2*s - s*u - 7*s + 204*u with respect to h.\nAnswer: 1136*h**3 + 4*h*s*u + 10*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-76))\/((-1)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 2. Let k be p(-1). Suppose -6*t**2 + 8*t**3 - 2*t**k + 0*t**2 - 8*t**5 + 8*t**2 = 0. Calculate t.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10859, -24532, -38205, -51878?\nAnswer: -65551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 701088 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -21)\/(-2 - 4\/(-8)). Does 192\/11 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6043 - 617 = -3*z, -10 = -2*a. Suppose z = 23*d + 776. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6808 by -851.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (0 - (2 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(77\/(-42)))\/(-3). Let c be n*(135\/(-25))\/(-9). Factor 2\/5 - 12\/5*q**2 + 0*q + 16\/5*q**3 - c*q**4.\nAnswer: -2*(q - 1)**3*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88574*y + 56241*y + 282227*y.\nAnswer: 427042*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xxqkkxxxkkxxck?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154)*-1 - sqrt(154))*-3 - sqrt(154))\/sqrt(11))\/((sqrt(567) + 1*sqrt(567))*1) + 2.\nAnswer: 5*sqrt(2)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84 + -12039?\nAnswer: -12037.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3915*d - 29. Give v(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 7968.\nAnswer: 294816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/20 - r**4\/2 + r**3\/2 - 4*r**2 + 6*r - 5. What is y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/3 - (-8)\/12. Let s = -5 - y. Solve -3*j = -s - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11712 at least as big as -11714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) -1\/3 (d) 13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let a(s) = -153*s + 3. Calculate a(v(r)).\nAnswer: 306*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:21 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16137 plus 3920994431?\nAnswer: 3921010568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3036791301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 - -174. Let m = r + -57. Let s be (-2)\/(-6)*3\/(-7). Put m, s, 4 in decreasing order.\nAnswer: m, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002120000 (base 3) in base 8?\nAnswer: -52052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(162))\/((sqrt(72)\/sqrt(3))\/sqrt(4)))\/((sqrt(288) + 2*sqrt(288))\/(-6*sqrt(18))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 311*d*m**2 - 476*m**2 wrt d.\nAnswer: 311*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let b(k) = 266044*k**2. Calculate b(r(c)).\nAnswer: 1064176*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = b - 4, -4*b = -2*n - 5*b + 12. Let r be ((-2)\/(-4))\/((-4)\/(-8)). What is the first derivative of -15*j - n - r - 21 wrt j?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -754642+-814\nAnswer: -755456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16426 + 67946 + 26463 = 2463*y for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 11150520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let i be z(-5). Let n(t) = t + 1. Let b(x) = -8*x - 7. Let w(o) = i*b(o) + 2*n(o). Let g(u) = 3*u + 3. What is 5*g(r) + 3*w(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -5, -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(2 - 4 + 35*h - 28*h) to the form a + g*h and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:01 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in 0.3, -9, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 17*q + 1. What is s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 + 2*b**5 - 5*b**5)*(-1 - 2 + 4) + (-2551 - 67*b**2 + 2551)*(3*b**3 - 4*b**3 - b**3).\nAnswer: 132*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6\/11, 4, -9, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-20) + -36 + (-15510)\/(-2200).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100211 (base 4) to base 9.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12396740 and 1481468?\nAnswer: 7676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 723529 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 4 (c) 2 (d) -5 (e) 89\/48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -13. Sort g, -5\/3, -2 in decreasing order.\nAnswer: g, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 5*v, -2*p + 4*v = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.6 (b) -1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877883 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))\/l**(2\/11))\/((l*l\/l**(-2\/11))\/l*l*(l\/l**(-1\/7))\/l) assuming l is positive.\nAnswer: l**(-39\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -928 - -928. Let o = 206 - 117. Is o less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19888, -19819, -19766, -19735, -19732, -19763, -19834, -19951?\nAnswer: -20120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5 (c) -1 (d) 0.06 (e) -4 (f) -119\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 0.14. Sort 0.3, y, -1\/2 in decreasing order.\nAnswer: y, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160717 by 48.\nAnswer: 160717\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 89038.44215 to zero dps.\nAnswer: 89038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and (-70)\/175 - (2 + 84\/(-10))?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 y when four letters picked without replacement from {y: 3, x: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.384 - -27.384001227. Round u to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-84) - 4\/(-14). Let y = 2560309\/780 + -9845\/3. Let n = -2\/65 + y. Put 5, n, b in decreasing order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8133.9 * -0.8\nAnswer: -6507.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*a + 2 = -1204*a + 4*y + 6, -2*a + y = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/60 + 23*j**3\/3 - 2*j**2. Let f be i(0). Let p = -17 + f. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -115796, -231553, -347220, -462749, -578092?\n\"Answer: 8*c**3 - 3*c**2 - 115804*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 27 (c) 0.2 (d) -2\/17 (e) -4 (f) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -9\/157, -30, -1\/6.\nAnswer: -30, -9, -1\/6, -9\/157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1416929660 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, 49, 283?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(19\/95).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = 12*w - 532. Solve w*z = 15*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30644 (base 7) to base 10\nAnswer: -7529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:52 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 30. Let d(j) = -j + 9. Calculate the remainder when z is divided by d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 449, 613, 697, 671, 505, 169?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -339, -368, -417, -492?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2503437 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 11*t - 1. Let g be k(-5). Solve -a = -0*a + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/6 + -5 - (-2)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4058 + -0.416154. What is h rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -37 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(1\/10). Let a be ((-6)\/3 - -9) + 2. Suppose a*v = 10*v. Put j, v, 2 in increasing order.\nAnswer: v, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r**2. Let l(g) = -169*g**2. What is l(v(b))?\nAnswer: -81796*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Suppose -4*j = 26*d - 23*d - 1, 4 = -5*d - j. Determine c(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150 - 126. Let s = 17 + -8. Suppose v = -3*d + s. Let r(u) = -u**3 - 5*u**2 - 2*u - 5. Determine r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 2. Let v = g - -6. Let d = -1 - -1. Put d, v, 4 in decreasing order.\nAnswer: 4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8830799*i**5 - 920*i**2 - 8*i - 2 wrt i?\nAnswer: -529847940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**2 - 4 + 156*b**2 + 4.\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q - 46*q + 5*q - 2*q - 2*q + 13*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792.313ug in milligrams?\nAnswer: 1.792313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 1 - 1)*((-r**2 + r**2 - r**2)*(6*r + 1 - 5*r + r) - 935*r**3 + 930*r**3 + 3*r + 4*r).\nAnswer: -42*r**4 - 6*r**3 + 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let -u**3 + 0*u**3 + 2*u + r*u**3 - 3*u**2 + 0*u**2 = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1516 in ascending order.\nAnswer: -2, 3, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 19. Let a be c(9). Let n = -26 - a. Solve 2*v + n = v, 4*v = -x - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3361, 9994, 19893, 33058, 49489, 69186?\n\"Answer: 1633*n**2 + 1734*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*p - 8, p = -2*g - 0*g - 2. Suppose g = -b + d + 1, 2*d + 2 = -0*b + 5*b. Solve 3*a + 0*a - 3 = b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13746 or 13748?\nAnswer: 13746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.18, 3, 314?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29453740.\nAnswer: 2, 5, 1472687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 113 + 177*n - 220 + 107. Let k(j) = -j**2. What is y(k(d))?\nAnswer: -177*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1940 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**3 - 3*u**2 - 6. Let y(n) = n**3 + n**2 - n + 1. Let c(v) = b(v) + 3*y(v). Let z be c(-2). Suppose -4*o = -41 - z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*f + 1500*f + 1105*f - 130815 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 398676*t**3.\nAnswer: -398676*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 27*u + 1. Let k be 5\/2 + 3\/6. Suppose 0 = l - 2*n - 6, l = -k*l - 4*n + 12. Is a(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 5*o**3 + o**3)*(0 - 2 + 1) + (-3 - o + 3)*(-3*o**2 - 4*o + 4*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-42) - (-344)\/(-20)*(-20)\/28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -38*g. Let b(f) be the second derivative of -f**4\/6 + 11*f. Give b(r(w)).\nAnswer: -2888*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -202.44*-645\nAnswer: 130573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-12) - (-20)\/(-12) - -14. Solve -x - 3*x + h = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i = 727*i + 5859 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11736456\/763 - -15382. Let i be 59294\/(-16786) + (8 - 1). Let q = i - f. What is the common denominator of -16 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, w: 2}. Give prob of sequence waaw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at least as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2 + 0 + 0 + 1 + 1 + 2 - 5 - 5 + 4 + 0 + 2 + 0 - 3 + (-3 + 5 - 3)*(4 - 4 - 2) - 10 - 10 + 1)*(4*w**5 - 2718*w + 2709*w - 5*w**5).\nAnswer: 18*w**5 + 162*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 11972 = -35840. Suppose -30*l - n = -39*l. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61242104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, -1, -2, -3, 0.\nAnswer: -301, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(258\/(-258))\/(1\/(-10)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 1:53 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 2)\/(3\/(-6)). Suppose -a*r - 1 = 1. List the prime factors of 23\/2 + r\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 + 30*f + 3. Determine j(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7.36 (b) 4\/53 (c) 0.5 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1591*m - 1107289. Calculate r(696).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*h**2 - 262*h**5 + 131*h**5 - 24*h**6 + 133*h**5 wrt h?\nAnswer: -2880*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1432, -1, -5 in descending order.\nAnswer: 1432, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20352 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/3)*(-88)\/2508?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/5 - ((-470)\/80 + ((-68)\/32 - -2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37444128 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 373\/110 - -6\/55. Let w be (-4)\/(-20) + 367461\/8295. Let y = 1\/1106 + w. Find the common denominator of y and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - b3b?\nAnswer: -b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 2*l. Let i(p) be the second derivative of 4 - 3*p + 1\/12*p**4 + 0*p**2 + 0*p**3. Give y(i(d)).\nAnswer: -3*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78814315 minus 2471979?\nAnswer: 76342336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - c**3 + 3*c**2 + 3 - c**3 - 3 + 14*c**3 + 18*c**3 + 0*c**3 + (0*c + c**3 + 0*c)*(-4 + 1 - 2).\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3806471*k**2 + 25447*k + 5.\nAnswer: 7612942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 3*r + r**3 - r - 4*r. Let h(y) = y**3 + 4*y + 1. Suppose -12 + 33 = 21*x. Determine x*h(v) + 4*b(v).\nAnswer: 5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -9, 0.2, -4\/7, -3 in decreasing order.\nAnswer: 0.2, 0.1, -4\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/20 + u**4\/2 - 3*u**3\/2 + 8*u**2. Factor o(y).\nAnswer: -3*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/63)\/(6\/45).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6883.515kg in nanograms?\nAnswer: 6883515000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 589978 or 589983?\nAnswer: 589978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/13 - 13144*s\/13 + 13146\/13 = 0. Calculate s.\nAnswer: -6573, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1234280 by -10460.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01490787188 rounded to 5 decimal places?\nAnswer: -0.01491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 16*s**3 + 19*s**3 + 27*s**3.\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1489524 by -5282.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -989 + 2871. What are the prime factors of m?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9555 - -9629 - (-57 + -1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2733, -5470, -8207, -10944, -13681, -16418?\nAnswer: -19155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -14. Let k = -17 - f. Suppose -3*v + 15 = -h + 2*v, 0 = k*h + 4*v + 2. Let a(z) = z**2 + 5*z. What is a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/126 and 85\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10350282.74 to the nearest 100.\nAnswer: 10350300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -7. Suppose 9*u - q*u = 4. Let p be u\/8*14 - 6\/2. Solve -2*z = -3*h - 4, p*z + 0 = 5*h + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346508027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/42 + 26*w**3\/21 + 169*w**2\/7 - 40*w. Solve x(c) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 425*g - 10500.\nAnswer: 5*(g - 20)*(g + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 3*o**2 + 3*o + 2. Let c be h(-2). Let g be -3 + 0 + 1 - c. Suppose x = -x + g. Solve 8 = 4*b - 3*a, 0 = -b - x*b + 5*a + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1356258 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v**2 - 3*v)*(0*v - 3*v + 2*v) + (-v - 4 + 5 - 4)*(4*v - 16*v + 4*v)*(-3*v + 3*v + 3*v).\nAnswer: 23*v**3 + 72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 - (-94)\/63. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h + 1507 = -277*h - 2939 - 2442 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i + 258*i**3 - 259*i**3 + 2*i**2 - 41 + 5*i**2 + 6*i**2. What is the units digit of n(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5667, -3076, 3955, 17646, 40217?\n\"Answer: 370*v**3 + v - 6038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + 5?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-75) - (-28360)\/(-4500) and ((-15)\/2)\/(186\/8).\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 425 + -10?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:18 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60, -9, 138, 423, 888, 1575, 2526?\n\"Answer: 7*x**3 + 6*x**2 - 16*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 0*s + 0*s + (-s - s + 3*s)*(0 + s + 0) + (0*s + 2*s - 3*s)*(-s - 3*s + 3*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 7*i - x + 593, -2371 = -4*i - 5*x. Suppose 0 = -23*h + 18*h - 2*t + 2970, i = h - t. Calculate the least common multiple of 22 and h.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722770931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14038872, 28077762, 42116652?\nAnswer: 56155542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11258, 10481, 9704, 8927?\n\"Answer: -777*u + 12035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:47 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 - r + 17. Give k(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - u)*(-2*u**2 + 0*u**2 + u**2) + ((4*u + 0*u - 3*u)*(6*u + 0*u - 4*u) + 33*u - 33*u - 84*u**2)*(4*u - u - u) - u**3 + 3*u - 3*u.\nAnswer: -163*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2. Let t(j) = -j**2 - 26*j. Give t(v(b)).\nAnswer: -9*b**4 + 78*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -4. Let j = 0.33 + -0.43. What is the biggest value in l, -4\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 843, -29, -5, 0 in increasing order.\nAnswer: -29, -5, 0, 9, 843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 18*i + 1746. Let j = -114 + i. Calculate the highest common divisor of j and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmmmmeuccum. Give prob of picking 1 c and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -477005, -954015, -1431035, -1908065, -2385105, -2862155?\n\"Answer: -5*b**2 - 476995*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98475843*x**3 - 4*x**2 + 405817104 wrt x?\nAnswer: -295427529*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*a - 257087 - 270536 = -202898. Is a a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:02 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 + 107. Let z(v) = 11*v**3 - 6*v**2 - 7*v - 2. Let d(x) = -10*x**3 + 5*x**2 + 6*x + 2. Give j*d(w) - 6*z(w).\nAnswer: 4*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Let r(l) = 10*l. Let x(h) = -2*r(h) + 7*z(h). Let s(a) = a**2. What is x(s(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/126)\/(0 + -6 + 682\/111) and -97\/140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0 + 0)*((2*j + 1 - 1)*(0*j**3 + j**3 + j**3) - 3*j**4 + 2*j**3 - 2*j**3).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 23. Let s(n) = -25*n + 68. Let d(a) = 7*g(a) + 2*s(a). Let w be d(5). What are the prime factors of (3 + -1)*((w - 0) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 54.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (-85)\/425?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 11419 + 46144 = -5304. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3802560 and -145\/12582.\nAnswer: 34223040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7618 is divided by 7600?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r + 0*r + 2*r)*(27 + 7 + 28) + 2*r - 3*r - 2*r in the form s*r + w and give s.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 119 + -116 - (-8689996 + -1). What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.99915 + 20. What is j rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.942 - 0.058. Which is greater: b or -87?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22451, 44947, 67429, 89891, 112327?\n\"Answer: -u**3 - u**2 + 22506*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 y when four letters picked without replacement from ysnbnsznnybssnyy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5707770 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 1, 60, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40865, -40864, -40863, -40862, -40861?\nAnswer: -40860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2057) - (-4 + sqrt(2057))*4) + sqrt(2057) + 2)**2.\nAnswer: -660*sqrt(17) + 8453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -125.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**10\/l*l*l\/(l*l\/(l*l*l\/((l*l**(2\/5)\/l*l*l)\/l))))\/(l**(-3)\/l)**(-40))**(15\/2) assuming l is positive.\nAnswer: l**(-2241\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (3 + -6 - 3). Suppose 3*w + t = 60. Calculate the remainder when w is divided by 4*(-4)\/((-48)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0263 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -1042, -1578, -2130, -2704, -3306, -3942?\nAnswer: -4618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4\/7)*x*x**(-22)\/x assuming x is positive.\nAnswer: x**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 15. Let t(b) = 1231 - 548 + 2*b - 684. Calculate t(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 98617266.\nAnswer: -5\/98617266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 38 + -14 + -14 + 22\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.298 times 41\nAnswer: -12.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.928176 + 2492\nAnswer: 2492.928176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080272686 minus 16109?\nAnswer: -16108.919727314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + 0*y + y)*(-y + 9*y + 6*y) + 6*y**2 - 2*y**2 - 3*y**2.\nAnswer: -111*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/20*-4) + -1. Suppose -v*x = -6*x + 10. Solve -o + 0 = -x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:25 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -6, 0 in decreasing order.\nAnswer: 2, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 77, 124, 171?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1045 and 121\/40.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*j = 1220*j - 36556 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from dmxzh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + sqrt(242)*3 + 3 + -2*sqrt(242) + 1)**2.\nAnswer: 176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 795 + -779. Suppose 0 = -4*o + 5*l + 5, -r = 5*o - 7*o - 2*l. Solve -2*s + 8 = -4*s, -o*s = -5*h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)\/sqrt(2))\/sqrt(11) - sqrt(18)\/(sqrt(6)*2 + sqrt(6))) + sqrt(75) + sqrt(75)*-2 + 5)**2.\nAnswer: -130*sqrt(3)\/3 + 244\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 + 11*v - 9. Let q(f) = -f**3 + f**2 + 7. Let g be q(0). Let k be r(g). Suppose k = 4*p - 13. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/40 and -113\/250.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4288, 4458, 4734, 5170, 5820, 6738, 7978?\nAnswer: 9594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2455, 2464, 2503, 2596, 2767?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 6 (c) 1\/8 (d) 3\/2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 187. Let i be u(-45). Suppose 2*y + 1694 = 13*y. Calculate the greatest common divisor of i and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526601903?\nAnswer: 526601903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2343 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -449\nAnswer: -179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzwdwkggxxgwdd. Give prob of picking 1 k, 1 d, 1 w, and 1 g.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (17 + 5 + 0 + -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 12*c + 15.\nAnswer: -3*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j**(-1)*j)\/j)\/j*j)\/(j\/((j*j**2)\/j*j)))**(2\/95) assuming j is positive.\nAnswer: j**(4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2703225, 2703224, 2703223, 2703222?\n\"Answer: -p + 2703226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 2 f when four letters picked without replacement from {s: 1, n: 1, y: 8, j: 2, f: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-8) + (4\/32 - 0). Let o(i) = -23*i**3 - i. Give o(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-42))\/((-88)\/77)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -138.349 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1185, 2901, 5103, 7803, 11013?\nAnswer: 14745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -579*d**3 - 163*d**2.\nAnswer: -3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4015, -8071, -12169, -16309, -20491, -24715?\n\"Answer: -21*c**2 - 3993*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-26)\/220 - 662\/(-3641)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 13 - 3 = 0. Suppose -5 = -3*z + l*z. Let u be 1\/z + (2 - -2). Sort u, -0.04, -2, -0.1 in ascending order.\nAnswer: -2, -0.1, -0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -27*c + 382. Calculate j(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + -1*sqrt(1584))*1*6 + (-6*(sqrt(1584) + 0) - -4*(sqrt(1584)*1 + sqrt(1584)))*3)**2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/10 and (-10 - -8) + 4885\/(-1430) + 5?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let s = -0.8 - 0.2. Suppose 3*q + 32 - 8 = -3*i, 5*q + 13 = 4*i. Which is the closest to s? (a) -2 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121918268, -121918273, -121918290, -121918325, -121918384, -121918473, -121918598?\n\"Answer: -j**3 + 2*j - 121918269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*v**3 - 44*v**3 + 16*v**3 + 169977*v - 169977*v.\nAnswer: -79*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q + 2. Let l be j(-10). Suppose 18 + l = 5*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhgkk. What is prob of picking 1 g and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2, v = 5*h - 4*v - 60. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 520000 = 5*f, -3*i + 1560000 = -3*f. Suppose -y = 0, 4*d + 2*y - i = -0*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 - 2*j + 8. Suppose 0 = 4*n + 2*l - 9 + 15, 2*n - 27 = 5*l. Let f(z) = z**2 + z - 1. What is n*v(g) + 3*f(g)?\nAnswer: -g**3 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**3 - 154*m**2 - 46*m + 36. Calculate l(14).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -13, -0.1, -16\/17, -158?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 56.4, 0 in increasing order.\nAnswer: -4\/3, 0, 56.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/15 - z**3\/2 - 13*z**2. Let d(j) = 4*j**2 - 4. Calculate 3*d(q) - 4*f(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1941*v + 1076*v - 2744 + 910*v - 995*v with respect to v.\nAnswer: 2932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksaiaggs. Give prob of picking 1 i and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1264 (b) -5 (c) -24\/5 (d) 0.5 (e) -0.1 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675588402 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-5281.\nAnswer: 5809.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 + (-44)\/(-12). Suppose k = -5*y + 12, -4*k - a*y = -9*y + 52. Find the common denominator of 27\/2 and 4\/k - (-49)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b**3 + 0*b - 3 - 5\/2*b**4 + 0*b**5 + 5\/6*b**6 + 5\/2*b**2. Factor t(q).\nAnswer: 5*q*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 33*d. Let u(l) be the first derivative of 1\/6*l**3 + 41*l + 0*l**2 - 24. Let n(s) be the first derivative of u(s). Determine n(x(h)).\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = n + 10605, -4*s + 114*n = 111*n + 42385. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + a - 0*a - 36, -10 = c - 3*a. Let o(m) = m**3 + 8*m**2 + 6*m - 2. Let b be o(c). Let x(r) = -r**3 + 6*r**2 + 3*r - 3. Is 13 a factor of x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*o**4 + 2*o**2*x + 10*o*x wrt o?\nAnswer: -336*o**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -763 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 8875648*d\/9 + 8875646\/9.\nAnswer: 2*(d + 1)*(d + 4437823)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t - 17. Let s(y) = -27*y - 40. Let l(u) = 5*i(u) - 2*s(u). Determine l(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -109*q - 22. Let w be x(-3). Suppose 3*j = -2*p + w, 2*p - 179 - 130 = j. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 84 = -0*p. What is the common denominator of 34\/11 and (-676)\/(-210) - (-8)\/p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 678\/24 - 10902\/(-1896)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/25 and -117\/403900.\nAnswer: 403900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975 is divided by 835.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 3*d + 1. Let u be s(2). Suppose t = 3*r + 8, 7*r - 2*r = -4*t - u. Sort 4, -5, -4, r.\nAnswer: -5, -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 299 - 1573 = 195*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**(3\/29))**(-1\/12) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3862)\/6 + 3)\/((-21)\/9). Let z = x + -274. Factor 2\/7 + 2\/7*q**5 - 6\/7*q + z*q**2 + 4\/7*q**3 - 6\/7*q**4.\nAnswer: 2*(q - 1)**4*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 - (2 + -2 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 4. Let r(n) be the second derivative of n**2\/2 - 2*n. Let w(k) = 3*r(k) - u(k). Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -153?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 362*g**2 + 598*g - 333. What is l(119)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 - p. Let q(l) = -136*l**3 - 40*l**2 - 40*l. Give -40*k(n) + q(n).\nAnswer: -96*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.1, 0.2, 1072 in increasing order.\nAnswer: -1\/5, -0.1, 0.2, 1072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 - (68 - (-29 + 105)).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*u = 38, -5*u - 95 - 395 = 85*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*w - 3*w. Suppose -3*z - 4 = 5*r - r, 0 = -3*r + 5*z - 3. Let y = r + 3. Sort y, 1, w in descending order.\nAnswer: y, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*9\/8 - 2\/8. Solve 4*s + h - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/7 - 32\/7*v + 2\/7*v**2.\nAnswer: 2*(v - 18)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o - 54*o - 37*o - 4*o + 98 + 40*o to the form w*o + b and give b.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9080 and 2043.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2756 rounded to 2 dps?\nAnswer: -7.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.38 + -10.4. Let h = -0.02 - j. Which is the nearest to -1? (a) h (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175522826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2064230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 + 5*o**4\/12 + o**3\/3 - o**2\/2 - o. Let y(p) = -p**2 - 6*p + 23. Let b be y(-9). Give r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) - sqrt(176)*-5 - (-1 + 5*sqrt(11))).\nAnswer: -80*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -18. Let z(a) = -54*a**2 - 2*a + 7. Let f(v) = 18*v**2 + v - 2. Let k(b) = c*z(b) - 7*f(b). What is the second derivative of k(s) wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124 + 374 - 124 - 128 - 3170*z to the form f + h*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.4 + -2.4. Let h = -6 + j. What is the third smallest value in 3, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = 3*j, 6*j - 3*w + 6 = 2*j. Let a be ((-3)\/j)\/((-2)\/(-6)). Find the second derivative of -2*q**a + 3*q + 2*q - 4*q wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let j(z) be the first derivative of 0*z + 3\/2*z**2 + 2. Give v(j(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 16. Let f be z(13). Let m(p) = 13*p + 1. Is m(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5 - -1)\/((-27)\/135)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1864 * 1.3\nAnswer: -0.24232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7373322 or -7373324?\nAnswer: -7373324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*h + 6 - 42 = 0, -2*g - 96*h + 94*h - 24 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**7\/5040 + 7*w**6\/720 - w**5\/15 + 8*w**2. Let b(j) be the third derivative of n(j). Give b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 512919*m - 4616360. What is u(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 263. Let m = o - 149. Is 24 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 12. Suppose -4*t = t - i + 9, -5*t = -k*i + 21. Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(y - y - y) - 247 + 126 + 124 - 7*y.\nAnswer: -6*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let u(t) = t - 3. Determine 6*f(n) + u(n).\nAnswer: -5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2478, -105.\nAnswer: -2478, -105, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - 16) + (-7 - 4 - -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(1 - 4\/2). Let v(p) = 31*p + 6. What is the tens digit of v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 893611\/265932 - -6\/7387. Find the common denominator of -11\/2 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 3*f - f + (2*f - 1 + 1)*(1 + 1 - 3) - 4*f + 4*f - 3*f + (0*f - 6*f + 4*f)*(0 + 2 + 1).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.05 (c) 0.07 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15 + 22 = -3*d, d + 27 = -5*l. Let o = d - -3. What is the remainder when (-12)\/(-15)*(-10)\/o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/15 - 6*p**5\/25 + p**4\/5 + 4*p**3\/15 - 3*p**2\/5 + 2*p\/5 - 21. Let j(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2 + 14*c. Let h(s) = -7*s**2 - 9*s. Suppose 16 = -4*q - 4*n, 2*n - 2 - 8 = q. Let d = -1 - q. Calculate d*w(a) + 8*h(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 4. Suppose 5*q - q = 0. Let m be p(q). Suppose -4*l + 56 = -5*y + 5, m*l + 2*y - 58 = 0. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l - 16*l. Solve -5*t + 1 = -4*b, l = -3*b + b + 3*t - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 2*f + 104 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288.9454 + -0.0546. Let d = -206 - q. Let i = -83.0164 + d. Round i to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34989233*f**4 - 57761008 wrt f?\nAnswer: -139956932*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4\/2 + 207*x**3\/2 - 1695*x**2 + 4176*x + 15936 = 0. What is x?\nAnswer: -83, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 - 9*u**2 - 7*u + 1. Let p(v) = -5*v**3 + 5*v**2 + 4*v. Let n(a) = 7*p(a) + 4*t(a). List the prime factors of n(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36408.45 litres?\nAnswer: 36408450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from wwwwxx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. What is h(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4485 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -685 + 683. Sort s, -1\/5, 2, 46 in descending order.\nAnswer: 46, 2, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from {c: 2, k: 1, f: 2, i: 1, o: 1, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 + 4\/3*q**2 - 96*q + 5\/12*q**3 - 1\/72*q**4. Factor z(n).\nAnswer: -(n - 16)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 7*x - 7. What is j(8)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 5565212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42184 - 40010 = -206*h. What is the lowest common multiple of 147 and h?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7217, 14358, 21347, 28106, 34557, 40622, 46223, 51282?\nAnswer: 55721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 36 = 3*b, 2*b - 4*b - 33 = 3*f. Let k = 7 + f. Sort 3\/4, k, 5\/4, 4\/3.\nAnswer: k, 3\/4, 5\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, 1\/9, -1\/3, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*m - 4)*(8 + 9 + 94).\nAnswer: -222*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**4 + 29*h**3 - 134*h**2 - 3*h. Let y(q) = q + q**3 - q**4 + q**2 + 2*q**2 - 2*q**2 + q**2. Let r(k) = 2*s(k) + 6*y(k). Factor r(g).\nAnswer: -4*g**2*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.319597l?\nAnswer: 4319.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.585 + 0.5736. Let u = 0.00728 + q. Round u to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 2*o - 28, 0*p + o = -p + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + v - 4*v - 357 = 0, -3*g + 357 = 2*v. Suppose 24 = -g*f + 125*f. What is the greatest common factor of 32 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27842307693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -93\/5 (b) 1\/4 (c) 2009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1944248739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-270)\/(-12))\/(-15))\/((-6)\/416). Let v be 4\/26 - 16\/i. Solve 0 = t - v + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - -37. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**6\/240 + f**4\/4 + f. Let s(d) be the third derivative of k(d). Let a(b) = -b. What is s(a(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1528*c**2 - 955*c + 955. Let l(k) = k**2 + k - 1. What is 2*i(s) + 1910*l(s)?\nAnswer: -1146*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and 15\/1588?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110333 (base 4) to base 2.\nAnswer: 1010100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 15. Let i = -8 + q. Sort i, -2, 5, 2.\nAnswer: i, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5. Suppose 20 = -b + y*b. What is the tens digit of (-1 - 4)\/b - -61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 13*t - 7*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (12 - -9 - (0 + -6)) + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*k - 32. Let s be 5\/(k\/(-6))*-2. Suppose 0*v - s*v = 3. Is v greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -32*r + 483. Give y(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 105, 1\/4, 0.01, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1156 times -407\nAnswer: 470492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000045762351 rounded to 7 dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75.264 and 0.8?\nAnswer: 74.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22*f**3 + 9*f**2 - 11*f + 2. Let x(j) = 10*j**3 - 4*j**2 + 6*j - 1. Determine 4*n(l) + 9*x(l).\nAnswer: 2*l**3 + 10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24116 (base 7) to base 9.\nAnswer: -8488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4466 and -83\/406.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929 is divided by 1459.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/30)\/((-39)\/(-78)*4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9630*c**5*v**2 + 5*c**2*v**2 - 5*c**2 + 40*v wrt c?\nAnswer: 577800*c**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k - 7. Let q be u(5). Suppose -3*a = -10*a + 399. Calculate the greatest common divisor of a and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7.3. Let z = 173.3 - 174.383. Let y = z + 0.083. What is the nearest to -2\/7 in u, -5, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765045 divided by -765045.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-18))\/((-656)\/2952).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/3)*b)**38*((b**9\/b)\/b)\/b**(-3\/7) assuming b is positive.\nAnswer: b**(688\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 52*o = -21*o + 1410 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 47*l**2\/2 + 6*l - 24. Is f(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8 - 7*l - 9 + 8*l. Let m(n) = 3*n**2 + 6*n + 7. Let b be m(-2). Give q(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:18 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.9 - -15. What is the closest to -3 in -5, i, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(108))\/((sqrt(16) + -2*sqrt(16))\/sqrt(8)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -13 + (4 - 4 - (-10 - -5))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = d - 11693235 - 15606725, a - 5 = 0. Suppose -2*v = f - 4*v + 5460008, d = -5*f - 5*v. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 - 1\/9*x**3 + 1\/360*x**6 - 1\/45*x**5 + 5\/72*x**4 + 0*x - 3*x**2. Factor v(y).\nAnswer: (y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - j + 42 = 0, 0 = -2*c + 7*c - 4*j - 228. Let x = c - 34. What is the second derivative of 139*r**5 + x*r + 4*r - 154*r**5 wrt r?\nAnswer: -300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -12, 0 = -n + v - 0*v + 3. Solve c = -4*d + 6*c - 41, n = 3*c - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let c(t) = -372*t**2 + 2*t - 6. Calculate c(b(j)).\nAnswer: -1488*j**4 + 4*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7930607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8922 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 47 = -q, 0 = q - 3*c - 38 + 6. Suppose -5*g + q + 19 = 0. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/285, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 2. Let l be s(8). Let n be 0 - -2*l\/4. Is (-23 + 0\/3)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+205.2\nAnswer: 209.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*1 + sqrt(2736) + -1.\nAnswer: -1 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1448*i - 126 = 1430*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8147366 and -21\/2?\nAnswer: 8147366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/20*(51 + -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 27*n - 20. Suppose 1 + 63 = n*f. Let a(u) = -u**2 + 21*u - 6. What are the prime factors of a(f)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8514 + -1.1486. Sort 287, d, 1\/5 in descending order.\nAnswer: 287, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 33. Let k be w(15). Let h(q) = 51*q + k*q - 104*q. Let a(y) = -4*y**2 - y**2 + 3*y**2. Determine h(a(r)).\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/31)*g\/(g\/g**(-30)))**31)**(-38) assuming g is positive.\nAnswer: g**35264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 48 - 21 = 0. Let s = 7 + q. Let d = s + 33. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.066, 8315, 2\/7, -23 in ascending order.\nAnswer: -23, -0.066, 2\/7, 8315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -21, 11, 85, 213, 407, 679, 1041?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:52 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 6*c + 4*c - 4*c - 2 as z + o*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/(b*((((b**5*b*b)\/b)\/b)\/b)\/b))*b*b\/(b\/b**(2\/27)) assuming b is positive.\nAnswer: b**(110\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/77 and -13\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 h when three letters picked without replacement from {k: 1, a: 1, h: 1, z: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(91)\/(sqrt(7)*-1*-2) - ((sqrt(1872) - 1*sqrt(1872)*2) + 3).\nAnswer: -3 + 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/433229, -5, 0, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 611, 612, 613?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 95 + (0 - (-21 + 21)) + 1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -319*q**4\/12 + 23*q**3\/6 - 59*q**2. Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x**4\/12 + x**3\/6 + x**2\/2 - x. What is l(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2225 + -2220. Solve 6 = -11*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3028669 = 5*o - 14452899. Let z = 11884846 - o. What is z rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17951940 and 7380.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.07 + 0.07. Let a = -6160.941 + 6161. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/9481 and -49\/653.\nAnswer: 6191093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = b - 32. Solve 0 = -3*y - 13 - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t**2 - 34. Let y(b) = 5*b**2 + 12. Let n(o) = -6*g(o) - 17*y(o). Let f(z) = z**2 - z + 1. Calculate -f(j) + 2*n(j).\nAnswer: -3*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 16, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3180 or -203533\/64?\nAnswer: -3180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2))\/2*-5. Let u be 0\/((-5)\/(o\/(-2))). Let x be (68\/(-17) - 3) + 10. Sort x, 4, u.\nAnswer: u, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 + 6373 - 860 = -160*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 29. Let w = y - -64. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -2 - (-35409)\/1887\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(720) + sqrt(720) - sqrt(720) - sqrt(720))*-5 + sqrt(720) + 0 - (0 + sqrt(720) + -1)*6)**2.\nAnswer: 3600*sqrt(5) + 90180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37519669, -37519655, -37519631, -37519597, -37519553?\n\"Answer: 5*f**2 - f - 37519673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000489050657 rounded to five dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:18 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2020 in -5, 1176\/11, 0.1, 5?\nAnswer: 1176\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 32 = 2*h. Solve 4 = h*z + 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (-15 + 96 - 138) - (1 - (112 - 0)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-2 - (-21)\/12). Let l be (-6)\/21 + m\/14. What is the units digit of l\/10 + 81\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 19218*a**2 + 346653*a - 1561032.\nAnswer: -3*(a - 9)**2*(a + 6424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -1 + k**2 + 0*k + 2\/3*k**3. Factor l(b).\nAnswer: 2*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3457 + -0.3457002806. What is w rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 401 - 393. What is the lowest common multiple of 718 and r?\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17064 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 + 0*x**4 - 33*x**4 + (-4*x**2 - x**4 + 4*x**2)*(0 + 6 - 4).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 4*z - 14, -6*x - 4*z + 8 = -8*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382 + -223. 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 litres are there in 41.91493 millilitres?\nAnswer: 0.04191493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 8. Let f be k(11). Suppose b + 5 - 18 = -2*v, f*v + 3 = 3*b. Solve i - v = -0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2\/11 + 1096074*y\/11 - 388350120\/11.\nAnswer: -6*(y - 182324)*(y - 355)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12724 by -3.\nAnswer: 12724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4100405 litres?\nAnswer: 410.0405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -2.8. Let c = -1.12 - -1. Let t = 0.1 + c. What is the closest to t in 0.2, 2\/5, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9734 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u - 4. Let w be j(3). Suppose 5*p + w = p. Sort p, 0, 2 in ascending order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00845 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10415693, 20831390, 31247087, 41662784?\nAnswer: 52078481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {w: 2, t: 5, m: 10, v: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 8) to base 5\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1751*t = 878*t + 782*t - 2002 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k = 69*k. Solve 3*c + 8 = 5*n, n + 5*c - 24 = -k*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*r - 22*r**2 - 158*r + 2 + 2*r**4 + 310*r to j*r**4 + f*r**3 + n*r**2 + h + y*r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1214, -0.2?\nAnswer: 1214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37957901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 9, o: 6}. What is prob of sequence uv?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50040 + -7?\nAnswer: 50031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1249 + 820 + 1226 - 4*i - 712.\nAnswer: -4*i + 2583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21012 (base 3) to base 6\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3583*v**3 + 8548*v**2 - 1351052*v + 1?\nAnswer: 21498*v + 17096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - 1)*(-14)\/4. Let y = -2 + f. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -501*f - 9. Let t be v(-4). Suppose -10*h + 215 + t = 0. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -32.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -333*j + 1 - 1 + 335*j. Let d(b) = 9*b - b - 5*b. Determine d(m(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1056, 3, -3 in descending order.\nAnswer: 1056, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x**4 - 15*x**3 - 20*x**2 - 14*x + 48. Let d(k) = 2*k**4 + k**3 - k**2. Let s(u) = 44*d(u) + 4*f(u). Let s(q) = 0. Calculate q.\nAnswer: -3, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-43)\/(473\/88))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 473.7?\nAnswer: -9.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 20 - 20. Suppose -z + 2 + 33 = n. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -114*o - 23. List the prime factors of z(-5).\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 4*n + 1. Let c(q) = 10*q**2 + 11*q - 2. Let p(i) = 2*c(i) + 7*d(i). Suppose -5*r + 8*r + m = -18, 0 = -5*r - 3*m - 26. Give p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31)\/5 - (-1)\/5. Suppose -j = -w + 5, 27 = -4*w - 4*j + 7. Let l be w - (3 - 0) - t. Solve s = -5*g - 12, s - g = l*g + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/(-14)*(44 + 0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-44) + (-18)\/99)*-20. Suppose 0*a - 470 = -q*a. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3 - 0)\/(70\/252).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*o**2 + 4*o**2 + 7 + 3 wrt o?\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124940284 divided by 287?\nAnswer: -435332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*n - 55*n - 18*n + 71*n + 3402 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-128)*28 - 5. Which is the nearest to -5? (a) 5\/2 (b) 4 (c) 2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.081 + -17.681. What is the nearest to 1\/2 in -1\/6, -4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 m when four letters picked without replacement from {f: 5, m: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekxdrcd. Give prob of picking 1 r and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000129492 rounded to 7 decimal places?\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 647, 589, 507, 401, 271, 117?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 5\/4*n**2 - 115\/4*n = 0. Calculate n.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6445 divided by -5?\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2011 + 572. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1)\/(-3)*(-6 + -150). Suppose -2*u - p = -15*u. Let x(o) = -o**2 - 8*o + 7. Let f be x(-7). Put -3, -2, u, f in descending order.\nAnswer: f, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 1.7. Let t be -1*1*5\/(-1). Suppose -3*l - 2*u + 12 = 0, -l - 7*u = -4*u - 11. Put x, t, l in decreasing order.\nAnswer: t, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122171 - 823*y - 122171)*(-2 + 2 + 3*y)*(-3*y**2 + 3*y**2 - 3*y**3).\nAnswer: 7407*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*x = 51577, -3*b + x = 6*x - 154731. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:18 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*k - 322, d - 934 = -5*k - 386. Let o be (3\/(-9))\/(1\/(-12)). Suppose s - k = -o*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - m + 9. Let c be w(3). What is the greatest common divisor of c and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*f - 532166 - 2*f**2 - 385*f + 532164 - 2*f**2 + 2*f**2 - f**2 + 4*f**2 - 3*f**2 - 3*f**2 + (-f**2 - 3*f**2 + 6*f**2)*(6 - 3 - 1).\nAnswer: -f**2 - 603*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.427 + 3.0576. Let n = z - 0.0306. Let h = 0 + -0.2. Which is the third biggest value? (a) -1 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 15. Let v = 1009 + -999. What is z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:30 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -70. Let y be v\/12 - (-4)\/(72\/(-393)). Let z = y + 38. What is the lowest common multiple of 22 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -124. Put 0.1, 1, -1\/10, o in ascending order.\nAnswer: o, -1\/10, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -884 divided by 4\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106.9 + 9.9. Let q = 99 + v. Let f = -9 + 8. Which is the biggest value? (a) -2\/5 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 divided by 3?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4710 and 41568105?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503221 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 47210000 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c. Let b(j) = -3472*j**2 - 420*j - 70. Let y(a) = -151*a**2 - 18*a - 3. Let g(t) = -3*b(t) + 70*y(t). Determine i(g(l)).\nAnswer: 462*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2633*a**2*b**2 + 57*a**2*b - 877320*a*b**2 - a*b wrt a?\nAnswer: -5266*b**2 + 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (8 - (1 + 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 11. Let q be z(-11). Let d be 2 - (5 + -2 - q). Let g = 2.4 + 0.6. Which is the biggest value? (a) g (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 48 = 25*c. Solve 18 = -8*f + c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*u + 556*n**2 - 318*n*u with respect to u.\nAnswer: 2*n**2 - 318*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 432*j + 11664.\nAnswer: 4*(j + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24868 (base 13) to base 8\nAnswer: 203424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 75508152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(297) - 1*sqrt(297) - sqrt(297)\/(-2*sqrt(9)))\/(-1*sqrt(176)*6) + 0)**2.\nAnswer: 3073\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -19. What is the remainder when 2*2*(-5)\/(-4) is divided by 16\/10 + (-16)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5 - 5*x**4\/6 + 55*x**3\/6 - 25*x**2\/2 + 35*x\/6 - 2\/3 = 0. What is x?\nAnswer: -4, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -862 + 867 + (-29 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idimimdmmmdmmidm. What is prob of sequence dd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20370.74ug to nanograms.\nAnswer: 20370740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 7*d**2 + 7*d - 16. Let q be l(7). Let v be (-513)\/(-99) - (-3)\/(q\/(-2)). Solve -v*i + i + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -2 + 0)**2 + 3 + ((5*(sqrt(192) + 1) - sqrt(192))**2 - (2*sqrt(192)*1)**2).\nAnswer: 288*sqrt(3) + 2528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 j when three letters picked without replacement from {j: 7, u: 1, f: 1, w: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1.8708948\nAnswer: 0.56126844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32 - (-2 - 1\/(-1)). Suppose -20 = -5*w + 35. Calculate the highest common factor of w and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-6)\/(-2) + -4). Let k be 2\/(-42) - d\/(-6). Solve -k*a**4 + 0*a**2 + 0 - 2\/7*a**3 + 0*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 387 + 5?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8007, -30040, -66751, -118134, -184183, -264892, -360255?\n\"Answer: y**3 - 7345*y**2 - 5*y - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 - 2)) + -2 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*((-210)\/20)\/((-5)\/(-2)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106\/3 - -36. Let l = 0 + -24. Let r = -23 - l. Is r greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 80*n - 1222. Let b be w(17). What is the second biggest value in b, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - z**2 - 6*z + 5. Let k(y) = -y**3 - 189 + 193 - y**2 + y - 6*y. Let h(j) = -3*k(j) + 2*m(j). Give h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 222*g**3 + 4323*g**2 + 7992*g + 3888.\nAnswer: 3*(g + 1)**2*(g + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949137981 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from {y: 1, m: 4, f: 4, j: 1, p: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792) - (sqrt(792) + 1*sqrt(792)*5 + sqrt(792)))\/(-5*((sqrt(18)*2)\/sqrt(9) - sqrt(2))).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11417*f**4 - 8272*f**2.\nAnswer: 274008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31200 + -2?\nAnswer: 31132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/((-1)\/2). Solve -b*r = -4*v - 11, v = -4*r + 3*v + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95412 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*n**2 - 47*m**2 + 31*m*n - m - 11*n - 191 with respect to n.\nAnswer: 2*m**2*n + 31*m - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 + 8.74. Let i = m - 8.993. Let t = -0.00699753 + i. What is t rounded to 7 dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, 1 u, and 1 t when four letters picked without replacement from {h: 2, l: 3, b: 1, a: 7, t: 4, u: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6233 and -6.\nAnswer: -37398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13\/(-52)*-8*3197.\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788551.\nAnswer: 571, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 12) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 186645947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -84. Let o = v + 92.26. Round o to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24660 + 20844 = 2065*q + 258*q + 205*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u**2 + 5*u + 6. Let o(y) = -15*y**2 + 4*y + 5. Let h be (-4)\/(-10)*-25 + 15. Determine h*r(l) - 6*o(l).\nAnswer: 10*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9924 and 16?\nAnswer: 39696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -948b (base 13) to base 6\nAnswer: -235112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*o**3 + 353*o**2 wrt o.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/13, -5, 0.4, 66 in decreasing order.\nAnswer: 66, 0.4, -4\/13, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/((-147660)\/(-414))*(-10)\/198*-1*-6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-4) - 0 - 3. Suppose -p = -5*h - 0. Let a(v) = 16*v**2 - v. Let d be a(h). Solve -5*m = -2*w + 7, 4*m - 5*m - d = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 24*x**2 + 44*x + 4. Let d be i(22). Solve z = -0*b + b - 7, d*z + 13 = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 982*z**2 - 88*z + 432. What are the prime factors of l(5)?\nAnswer: 2, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313000 (base 5) in base 11?\nAnswer: -7882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 1. Let b = 6 - 3. Suppose 5*y - 26 = -0*d + b*d, -5*d = 3*y + 32. Let k = -6 - d. What is t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 36892*f - 368945\/2.\nAnswer: (f - 5)*(f + 73789)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 38, 69, 118, 191, 294, 433?\n\"Answer: a**3 + 12*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 + 263. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0\/(1 + -2). Suppose 2*o = y + 4, 2*y = 2*o - 2 - p. Find the third derivative of d**y - 2*d**2 - 3*d**5 + d**5 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/900*-25)\/((-2)\/4). Let d(n) = 5*n - 18. Let y be d(4). Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 276 = 227 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-22) + (1\/(-4))\/(3212\/373760).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581126 to the power of 1\/2, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 3510 = 2*h, -3*g = 5*h - 2075. Suppose -4*n + 525 = 6*x - 3*x, -4*x - 5*n + g = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g - 4*c, 0*c + 2 = 3*g - c. Put g, 5, -1 in ascending order.\nAnswer: -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -492 - 1665241*j + 1665241*j - 4*j**2 as d*j + o + f*j**2 and give o.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 350276783 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763 and 5886?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -323, -542, -713, -836, -911?\n\"Answer: 24*v**2 - 291*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/38 - 609\/(-1995). Factor y*a**2 - 1\/5*a - 2\/5.\nAnswer: (a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-36)\/30 - (-2)\/(-5). Suppose -3*w - b*w = -15. Solve 0 = -5*g - w*i + 19, -3*g + 5*i + 8 = -17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -6. Let j be 2*(0 - 110699145\/b). Suppose -6*v + 12900855 = -j. Round v to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j. Let i(c) be the third derivative of -c**5\/15 + 9*c**4\/8 + 9*c**2 - 148*c. What is i(x(n))?\nAnswer: -64*n**2 + 108*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -453 - -453. What is the closest to 0 in -2, m, -0.4, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/20 + -2)\/((-610)\/(-40) + -16).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -311136210 by -43890.\nAnswer: 7089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12) + sqrt(12) + 0 + (2*sqrt(108))\/sqrt(9) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18223757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 45*i**2 + 24*i + 41. Let t be n(-22). Put 0, -2, t, 24 in decreasing order.\nAnswer: 24, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 66. Let i be n\/(-6) - 3\/2. Solve -28 + 8 = -i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*q + 6 - 1, -2*u + 5*q + 36 = 0. Let d(y) = 15*y**3 + 13*y**2 + 13*y - 6. Let m(w) = -7*w**3 - 6*w**2 - 6*w + 3. Calculate u*m(h) + 6*d(h).\nAnswer: -h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19620.1 + -19620. What is the third smallest value in 293, i, -0.045?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 195380*p + 51464136.\nAnswer: -4*(p - 49107)*(p + 262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let k(i) = -5*i**3 + i**2 + 2*i + 1. Let d be k(-1). Let q be d\/7 + (-4)\/(-14). Let x be h(q). Solve 0 = 4*b, 6 = -x*n + 3*b + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mzmzzmmmmm.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-20)*96\/(-24372). Let s = k - -60868\/104935. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 - i - i**4 + 20 - 5*i**2 + 2*i**4 - 18 - 4 - i in the form w*i**2 + l*i**3 + a*i**4 + q*i + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 17. What are the prime factors of x(-8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 13*w + 38. Let k be x(-7). Let u be (-65)\/(-20) + k\/16. Let d(o) = -o + 8. Let s be d(0). Solve -u*l = -3*r + 18, -l - l = -r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 + p + 8. Let m(i) = 4*i**2 - i - 4. Let g(y) = -5*m(y) - 3*z(y). What are the prime factors of g(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -17*f**4\/24 - 19*f**3\/6 + 5*f**2\/2 - 2*f. Let t(a) be the first derivative of k(a). What is the derivative of t(l) wrt l?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 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: What is the millions digit of 58821409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -14. Let q(i) = i - 2. Give q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**2 - 2449 + 2449 + 7*l**4 wrt l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Which is the closest to f? (a) -4\/9 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(5400\/(-96)))\/(168\/70).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 4*z + 11. Let s(l) = 4*l**2 + 7*l + 20. Calculate 5*b(w) - 3*s(w).\nAnswer: -2*w**2 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**5 + m**4 - 10*m**3 + 4*m**2 - 4*m + 4. Let v(u) = 15*u**5 + 15*u**4 - 140*u**3 + 55*u**2 - 55*u + 55. Let s(k) = -55*n(k) + 4*v(k). Factor s(w).\nAnswer: 5*w**3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 382?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnnjnnnnnnjnj. What is prob of sequence njnn?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3830 or 72745\/19?\nAnswer: 3830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p - 3*v = 134, -p = -5*v + 22. Let m = 86 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38260031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1264268.748 to the nearest one thousand.\nAnswer: -1264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1. Let z(a) = -11*a**3 - a**2 + a + 1. Let g be z(-1). Let s(x) = 8*x + 16. Let r(w) = g*i(w) + s(w). What is the derivative of r(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let c(z) be the second derivative of -12 - 3*z - z**2 - 23\/12*z**4 + 0*z**3. Determine m(c(n)).\nAnswer: 1058*n**4 + 184*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (13152\/128232)\/(60\/(-26))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(-4)*u)*u)\/u**(2\/15)*((u**4*u)\/u*u)**(1\/2))**(12\/11))**(-33) assuming u is positive.\nAnswer: u**(-1506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -14 (b) 9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.6 - 16.6. Which is the nearest to -0.13? (a) 3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 25. Let r be a(21). Solve 2*o = -2 + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {p: 1, z: 9, w: 2, m: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 4 - 4)*(0 + 0 - 2*a - 6*a - a + 0*a + (2 - 1 - 2)*(-a + 2*a - 3*a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3261?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2079 and 6312537?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2)\/7*-50. Let s be ((-10)\/a)\/((-2)\/240). Let h = -29 + s. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 12*k**3 - 3\/2*k**4 - 30*k - 33\/2*k**2 + 0 = 0.\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - -3*sqrt(228)) + sqrt(228))*-3)\/(sqrt(432)*2).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 1. Let w be (3\/(-6) - 0)*-6. Let s be g(w). What is the second derivative of s*o - 2*o - o**5 - 6*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01451224 to 5 decimal places.\nAnswer: -0.01451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600 a factor of 1368353244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 161061.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 19. Let a = -6 - n. Suppose 2*x = -a, 5*x + 10 = 4*q - 10. Solve q = -s - 0 + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = z - 2, 0 = -62*k + 69*k - z + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 23*s**8\/8 + 9*s**5\/20 + 59*s**4\/12 + 14*s**3\/3 - 2969*s. What is the third derivative of l(z) wrt z?\nAnswer: 19320*z**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*w - 78*w - 5*w**2 + 49039 - 49219.\nAnswer: -5*(w + 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*f**4 + 171*f**3 + 155*f**2 + 4174185*f?\nAnswer: -324*f**2 + 1026*f + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1815*v**2 + 3470.\nAnswer: -3630*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3415 and 6830?\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3810 and 5410962.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-1 - -1))\/5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**2 + 7*o. Let w(u) = u. Let i(v) = m(v) + 2*w(v). What is the second derivative of i(q) wrt q?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342493, 2684921, 4027349, 5369777, 6712205?\nAnswer: 8054633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2*x**3 + 16*t**2 + 547*x wrt x.\nAnswer: -3*t**2*x**2 + 547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m**3 - 6*m - 4*m**3 + 7*m)*(-7 + 2 - 3).\nAnswer: 168*m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l - 95. Let n(i) = 149*i + 3568. Let u be n(-24). What is a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34056 and 10?\nAnswer: 170280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -5*d + 4*a, -4*d + 4*a = -12. Suppose -k - d*k = -42. Let r be ((-105)\/k)\/((-1)\/120). Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2.4. Let a = -1.7 - s. Let k = -763 + 762. Put a, -3\/11, k in decreasing order.\nAnswer: -3\/11, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 15*v + 12. Let w be u(8). Solve -4*c + 12 = -w*t, 2*c + 15 = -5*t - 3*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/12 - 3)\/(20\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103.65 - 104. Let t = 0.77 + a. Let r = -0.4199968 + t. What is r rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + 8. Let h = 556.47 - -15.53. Let k = h + -571. Which is the closest to k? (a) -3 (b) 12 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1206 and 6746904?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 - 1234 = 9*l. Let f = l + 396. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 1752*g - 516788. Determine r(1109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 18. Let x be f(10). Solve -x = 2*o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/90670385 and -9\/72536308.\nAnswer: 362681540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 89*o**3\/6 + 5*o**2\/2 - 142*o. Let k(c) = c**2. Determine k(j(t)).\nAnswer: 7921*t**2 + 890*t + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215040 = 4195*s - 355*s for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0 - 3*n**2 - 1\/480*n**6 + 0*n + 0*n**3 - 1\/120*n**5 - 1\/96*n**4. Find t such that g(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 8*w = -12. Let i be 112\/231 - 2\/w. Put i, -2, -0.1 in ascending order.\nAnswer: -2, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -165?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/137107267 and 57\/87250079.\nAnswer: 959750869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) -2\/105 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-192)*30\/5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 2*u**4 + 10*u - 33 + 20*u**2 + 8*u**4 + 17*u**3 + 2*u**5 + 35.\nAnswer: 2*(u + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 39*s + 109. Calculate u(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -270, -294, -308, -306, -282?\n\"Answer: h**3 - h**2 - 28*h - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2010.0703 - -2010. What is x rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.396 + -24284160\nAnswer: -24284156.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 7*u - 8. Let j be (-2 + (-2)\/(-4))\/(1\/(-4)). Let q be d(j). Sort -3, q, -5, 3 in ascending order.\nAnswer: -5, -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:25 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 5*l - 32, 2*m = -3*l + 38. Suppose 5*g - o = -42, 4*g - 2*o + 4*o = -28. Let n = -6 - g. Calculate the highest common factor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50284423*f**4 - 37487781*f.\nAnswer: 603413076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(10*16\/(-40))*60\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287806645 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or 234?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9991.024 grams in micrograms?\nAnswer: 9991024000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 581*b. Let n(i) be the third derivative of i**5\/60 + 72*i**2 + 28. What is n(p(s))?\nAnswer: 337561*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/21*(-90)\/(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z + 44539 = 90*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 81 = -3*x, 3 = 2*x + 3*r - 38. Suppose 5*l = -x, -5*w + 0*l = -4*l - 180. Calculate the highest common divisor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175617937?\nAnswer: 11, 15965267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*j - 7796, -54*t = 2*j - 52*t - 7802. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -53 + 1. Suppose -w*x = 5*v - 6654, 0*x - 3988 = -3*v + x. Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**2\/7 + 700094315*z\/7 - 155576514\/7.\nAnswer: -(z - 77788257)*(9*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16043 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 2*q**3 - 3*q**3 - 371 - 5*q**2 - 12*q**3.\nAnswer: -13*q**3 - q**2 - 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6*z**2 + 2*z + 5. Calculate o(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2777823 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32726*f + 543 - 1077 + 534 + 32761*f.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7653*a**3 - 340*a + 1.\nAnswer: -45918*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 666673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:51 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eywevyeeewey. What is prob of sequence vw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxqf. Give prob of sequence fx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c = 20*c - 295 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 46*f - 78. What is the hundreds digit of j(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z - 132. Let l = 8 - z. Suppose 0 = -5*o - 25, 642 = 5*g - 4*o - 8. Calculate the remainder when g is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + (4 - (-5 + -6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.57 - 0.569814. What is r rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 26 - 18 - 548*i + 551*i - 4.\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 17 = 16. Let i(w) = w**3 + 21*w**2 + 34*w - 10. Let f be i(-19). What is the highest common factor of a and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4800 by -75.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 52 = -0*x. Suppose 4 = 3*s - 3*o + x, s + 6 = 4*o. Sort s, -0.3, -0.1 in increasing order.\nAnswer: s, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 12\/355, 4.2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.24381 + 7.24. Round u to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2226*h + 155803. Calculate x(-70).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q + 35. Let r be x(10). Suppose -r*w - 4 = g, -2 = -5*w - 4*g - 18. Solve w = 2*a - 4*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2. Let l(o) = 101953*o. Give l(y(s)).\nAnswer: -611718*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 156 = k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3275451060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 275*d**2 - 1434*d**2 - 6 - 1704*d**2.\nAnswer: -3413*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/3762701 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*g + 323 = 299*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 7*c - 9. Let p be o(6). Let i = p - -4. What is the remainder when (2\/(-3))\/((-4)\/6) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14405674 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3 - 6*i - 94. Let f(l) = 3*l**2 - 5. Give 6*f(v) - 5*w(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (70 - (-2 - -38))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h. Let t(j) = -82777*j - 13. Calculate z(t(r)).\nAnswer: -1655540*r - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1147175.\nAnswer: -2294350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 8. Let b(g) = 9*g - 17. Suppose 0 = 921*u - 959*u + 228. What is u*b(p) - 11*k(p)?\nAnswer: -p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -191\/53 (b) 5 (c) 1 (d) 0.181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r - 940. Determine b(-50).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 7. Let v be (-6)\/27 + 208\/(-36). Let c(n) be the second derivative of -5*n**3\/6 + 3*n**2 + 103*n. Calculate v*g(o) + 7*c(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -1\/8*t**6 + 0 + 0*t**3 + 0*t + 0*t**4 + 3\/20*t**5 - 13*t**2. What is the third derivative of o(g) wrt g?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q = 102*q - 8. Suppose 103 = b - q*u, 5*u = -2*b + u + 266. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 2*c + 32984*c**3 - 61 - 235 - 32983*c**3 - 3*c**2 to p*c**3 + z + t*c + m*c**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by (-40)\/(-190)*38 - (-24 + 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11650 and 7973650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v - 2*v + 2*v as t + n*v and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 460 + -450. Calculate the greatest common factor of c and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5 and 29\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d931 (base 14) in base 9?\nAnswer: -1388577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 184, 229, 288, 367, 472, 609?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Suppose -3*d - 8 = 22. Let r(f) = -f - 8. Let y be r(d). Let v(k) = -k**2 + 4*k**y - 2*k**2. Give v(b(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 7}. What is prob of picking 2 v and 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 2, v: 2, k: 1, p: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*y + 16, -2*m + 5*m = -3*y. Let s be -1*(-2)\/(-2) + 4. Suppose -4*k = -5*k + s. Solve k*n - m = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:38 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 - 45 = -5*j, 5*j = -4*q + 44. Suppose 1 = n - 0. Calculate the smallest common multiple of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - i**2\/2 - 3*i + 1. Let y(c) = 1920*c - 3 + 4 - 964*c - 957*c. What is d(m) + 2*y(m)?\nAnswer: -m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -654314407*t - 168154619 wrt t.\nAnswer: -654314407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 137 - 27)*(4*y**2 + 2*y - 2*y) to q + u*y + l*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 475*m**3\/3 - 10*m**2 + 3*m - 24. What is the derivative of b(f) wrt f?\nAnswer: 950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2*2)\/(-1). Let j(v) be the first derivative of 2*v**2 + 2*v - 193. Let b be j(x). Let y(w) = w - 3. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 - 7*g - 12. Let r be b(-5). Put r, 4, -4 in decreasing order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*s + 85*s - 2*r - 22, 0 = -5*s - 2*r + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36503.3 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12241420011 + 123?\nAnswer: 12241420134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -325 in -22, 2, 0.14, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6*4 - -35 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h - 0*h. Let a be (-1 - 1) + (77 - h). Suppose 4*q - a = 24. What is the remainder when 47 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 10*b - 5. Let i be m(-9). Suppose 2*d - i - 4 = 0. Suppose 3*n - d*n + 2*h + 20 = 0, -3*n - 5*h = -38. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**7\/42 - a**5\/15 + 17*a**4\/24 + a**2 + 33. What is the third derivative of h(r) wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.83122341 to 2 decimal places.\nAnswer: 16.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379\/92 - -1\/184. Let f = 16041\/28 + -7769\/12. Let u = f - -221\/3. Calculate the common denominator of g and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - -10)*14\/8. Let m = a + -19. Suppose -3*k - m + 58 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(37023\/(-287))\/(6\/(-2))*(-1)\/1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 11*f - 6. Suppose -3*b - 3*b + 384 = 0. What is the remainder when b is divided by w(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.21652 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -26. Let n be 21\/(-15) - (-4)\/a. Let v be n\/(-3) + (-2012)\/(-12). What is the highest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 20. Let y be w(3). Suppose 784 = 11*u - y*u. Which is greater: u or -58?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.9144 rounded to 1 dp?\nAnswer: 22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/3*5\/20. Let g be (-227)\/454 + 11\/14. Which is the second smallest value? (a) g (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -599578 (base 10) to base 9.\nAnswer: -1113417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -464273232, -928546464, -1392819696, -1857092928?\n\"Answer: -464273232*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1345533 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 - d. What is the units digit of v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 - (0 - -2))) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/955098 and 29\/115?\nAnswer: 4775490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2662) - sqrt(2662)*1*-1))\/(sqrt(22)\/(sqrt(33)\/(sqrt(6)\/sqrt(2)))*-4).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2112 + 2044. Sort -1\/7, 6, 0.1, v.\nAnswer: v, -1\/7, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/575 + -567\/2300. Let o = 1.8 + 0.15. Let f = o - -0.05. What is the closest to 0.1 in f, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27*z**2 - 5*z + 8. Let u be o(4). Suppose 5*r - u = -5*s, -3*s + 2*r = r - 248. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858619916, 858619917, 858619918?\nAnswer: 858619919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*j - 5*h, 0 = -j - 4*h - 8 - 11. Let c(k) = 6 - 2 - 4 + 1 + 7*k. Does 3 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:06 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247039, 1, 3 in increasing order.\nAnswer: -247039, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407296413 and 2934?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858847 to the power of 1\/2, to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -1. Let w be z*1*15\/2. Let u(j) = -2*j**3 + 19*j**2 - 5*j - 21. Let k be u(9). What is the greatest common divisor of w and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45028, -180063, -405038, -719887, -1124544?\n\"Answer: 11*p**3 - 45036*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2440\/11 + -222. Let y = 12 - 14. Which is the smallest value? (a) s (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, -0.6, 3, -2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*(-1 + -13). Suppose -4*z + 28 - 20 = 0. Suppose -22 = -2*t - c, 0 = -w*t + z*t - 2*c + 56. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76049170*k**3 + 14915*k**2 + 1369?\nAnswer: 456295020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 199*p**2 - 202*p - 400.\nAnswer: (p - 2)*(p + 1)*(p + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44652 + 16?\nAnswer: 44668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14\/57 + 1124\/399. Let i = 2\/91 + -216\/1547. What is the common denominator of i and t?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 3*x**2\/2 - x - 1. Let b = 1 + 2. Let v be d(b). Is v > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0 - p**2 + 0. Let q(j) be the first derivative of j**2 + 33. Give z(q(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.205 + 0.685. Let z = -0.849 + t. Let w = -0.0403 + z. What is w rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 + 7*q + 5. What is the units digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*m = 3*w - 58, 4*m + 46*w = 33*w + 278 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -559 + 562. Solve t = 0, k*t = -a - 4 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 11) in base 2?\nAnswer: 10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -5, 2\/3 in decreasing order.\nAnswer: 2\/3, -5, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1050\/13, 1, -2\/79 in ascending order.\nAnswer: -1050\/13, -2\/79, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214\/7 + 430\/7*m + 2\/7*m**3 + 218\/7*m**2 = 0 for m.\nAnswer: -107, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 628*l**2 - 1221*l**2 + 724*l**2 + 2 - 2 + (-32 + 73 + 9)*(-3*l**2 + 3*l**2 - l**2).\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2162, -8568, -19244, -34190, -53406, -76892?\n\"Answer: -2135*z**2 - z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p - 1. Suppose 0 = -4*h + 5*a + 36, -4*h - h = -4*a - 36. Let n be h\/3 - 2\/(-3). Let y(d) = -2*d**3 + 2*d - 3. Give n*y(b) - 5*l(b).\nAnswer: b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 + 16*p + 3. Let c = -23 - -15. Let q be d(c). Let w = 2 - 0. Solve 2*z = 7*z + q*v - 6, -w*z + 2*v = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*u + 373*u = 8536. Calculate the highest common divisor of 64 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 7. Let c be d(7). Suppose -2*i + 2*p + 6 = p, -4*i - p + 18 = c. Suppose i + 3 = l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t - 7*t - 10*t**2 + 13*t + 5 with respect to t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*g - 2*g - 54, -5*a - 5*g = -60. Let o = -5 + a. Suppose 4*v + z = o*z + 79, v - 16 = 2*z. What is the smallest common multiple of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 2*p + 1. Let i be q(-2). Let z(c) = -c + 17. Let n be z(i). Let a be (-90)\/(-11) + 3 - n\/22. What is the highest common factor of 110 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52185 + 103012 - 52117 + 2*k to the form i + w*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 204912977*p + 159950520?\nAnswer: 204912977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2052029 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*w + 20, -7*v + 2*v = 3*w + 122. Let m = -29 - v. Let n be 25 - (1 + 3)\/m. Solve 0*b + 25 = -5*j - b, -4*j - 2*b - n = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*1\/3*-1. Let r be (10\/(-3))\/(1\/x). Let a be (-2)\/(-15)*r\/(-8). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423253 (base 10) to base 16\nAnswer: -67555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5 - 12*z**4 - 3*z**3 + 30*z**2 + 12*z - 24.\nAnswer: -3*(z - 1)**2*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 298 = -2*y, -q - 26 = -3*y + 78. Let k = -62 - q. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 27683 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -760, -3080, -6952, -12376, -19352, -27880?\n\"Answer: -776*b**2 + 8*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 + 4)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.577611 tonnes in kilograms?\nAnswer: 1577.611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x - 29. Let o be -15*18\/30*-1. What is the units digit of j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 31 - -5) + 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16431 + 7?\nAnswer: -16423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-28)*136\/(44\/(-11)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 108. Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 2.0864?\nAnswer: -3.0864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -432. Let m = -499 - n. Let o = m + 147.59. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4148, -8289, -12430, -16571, -20712, -24853?\nAnswer: -28994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*((sqrt(175)\/sqrt(20) - sqrt(35)) + 3*sqrt(315))\/(sqrt(175)*1*2) + 3)**2.\nAnswer: -17*sqrt(5)\/5 + 609\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(5))\/sqrt(3) - sqrt(2592).\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 9273?\nAnswer: -9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let b = 6 + q. Suppose -c - 5*h = b, 2*c + 4*h = 3*h + 25. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*p**4 - 1414725*p**2 + 1414299*p**2 + p**4 + 430*p**3 wrt p.\nAnswer: 24*p + 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14620?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-30) - (6\/(-27))\/((-72)\/(-54)). Let i(x) be the first derivative of 3 + s*x**2 + 2\/3*x**3 + 0*x. Let d(u) = -8*u**2. Calculate d(i(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182840 is divided by 239.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3 = 3*s. Suppose x - 4*t - 60 = -11, 3*t + 196 = 4*x. What is the remainder when x is divided by (5 - 22)*(s - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 5, 9, -54, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27\/6*1*((-672)\/18)\/(-8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*z + 13 = 0, 118 = -4*h + 5*z + 133. Is -1045 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8480?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-5) - (-21)\/33. Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 21\/(-18) - 495\/54. Let d(l) = 15*l**3 + 10*l**2. Let m(o) = -o**3 - o**2. Give u*m(b) - d(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2801 + -2827 - (22 - -1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -13*w - 30. Solve -4 = b + w*z, b + 4*z + 3 = -0*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14471 and 29?\nAnswer: -419659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(3))\/sqrt(2) - (2 + sqrt(8)).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 = 5. Suppose 0 = -x*o + 5*o + 2. Solve -f = -5, 6*s - o*f = 2*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -2. What is the lowest common multiple of 60 and d*4*1\/(4\/(-12))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least 7563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5384*u + 2145*u - 142516 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 9. Calculate c(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 30. Give h(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0)*(3 - 4 - 2) + 7*j + 0 + 0.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l - 319. Give j(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*r - 140. Let f = -31 + r. Suppose -f*y + 3647 = 4*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12692443 is divided by 1492.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 0, 106, -42555.\nAnswer: -42555, -3, 0, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(121\/2)*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -32. What is the lowest common multiple of t and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 4*x - 843. Let d(r) = -5*r**2 - 6*r + 848. What is 2*d(c) + 3*f(c)?\nAnswer: -c**2 - 833","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*o + 3 = -3*p, 4*o = 2*p - 4. Solve p*s - 5 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 46 - 40)*(3 - 3 + t).\nAnswer: -118*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76)*-2*-3 - sqrt(76)))\/((-5*(sqrt(28) + sqrt(224)\/sqrt(8)))\/sqrt(7)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/320 and 107\/24.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -2 + (-11 - -15 - 12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13833\/10 - -1382. Calculate the common denominator of -47\/18 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 55217*a - 50474*a + 101759*a to the form t + f*a and give f.\nAnswer: -3932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1241441 - -133?\nAnswer: 1241574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbxbbblbbppbplbkbh. Give prob of picking 1 l and 1 p.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:38 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -6624?\nAnswer: 6634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20808238 divided by -41.\nAnswer: -507518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 2\/5 (b) 3 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 162 = 156 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 5, 20, -182, 2 in decreasing order.\nAnswer: 20, 5, 2, -182, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 4*n**3 + n**3)*(-22 - 13 - 2 + 3) - 11*n**3 - 529*n + 529*n to the form s*n**3 + g*n**2 + a*n + j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24273047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose 0 = -2*a - q*a + 110. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305*q + 29*q**2 - 753*q**3 - 421*q + 2 + 21*q**2 - 420*q + 1149*q wrt q.\nAnswer: -4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 5*c)*(12*c**2 + 24*c - 24*c)*(-2*c - 3*c + 3*c) + (c**2 - 6*c**2 + c**2)*(-3*c**2 + 0*c**2 + c**2).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 960072490 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/1197 and -73\/137394?\nAnswer: 18273402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 17*z**2 - 19*z - 20. Let u be r(-16). What is the second derivative of u*n - 27*n + 0*n**4 - 4*n**4 wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 9*a - 22. Let g be ((4870\/(-6) + a)\/(-141))\/1. Let j = 14\/47 - g. Calculate the common denominator of j and 11\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 divided by 113?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1 + 2 + 12*f**2 + f - 4*f**2. Suppose 5*w - 13 = 4*b - 3, 0 = 4*b. Is 16 a factor of l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 - -306. Suppose 9*b = 4*b + 15, 0 = -4*w + 2*b - 30. Does o = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616) - (sqrt(5616) - sqrt(5616)*2) - sqrt(5616))\/(-6*sqrt(12)) + ((sqrt(195)\/sqrt(45))\/(1*sqrt(363)))**2.\nAnswer: -sqrt(13) + 13\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7140 - 7135. Suppose 1\/2*r**2 - 1\/2*r**f - 1\/2*r**4 + 1\/2*r**3 + 0 + 0*r = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 5, -0.013, 1\/4, -3\/4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 16. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 12*c + 17. Let g be d(13). Solve 0*j = -5*j - g*n - 11, 0 = j - 5*n + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 912\/2288 + 7\/(-77). Factor 0 - 6\/13*k**3 - 2\/13*k**4 - v*k**2 + 0*k.\nAnswer: -2*k**2*(k + 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 844, 5, -67 in ascending order.\nAnswer: -67, -4, 0, 5, 844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22023 times -4\nAnswer: 88092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -70*i + 129. Let l be c(-6). Calculate the greatest common divisor of l and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5745 is divided by 68.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1958 at least -1962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**6\/3 + 2*c**3 + 1. Find the third derivative of t(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41514507?\nAnswer: 3, 4612723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1210061, 1210062, 1210063, 1210064, 1210065, 1210066?\n\"Answer: x + 1210060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 + 5*y + 4. Let n be h(-4). Let z be 132\/21 + 4\/(-14). Suppose d + 4*d = 10. Solve -4*k - d - z = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 8*y**2 - 11*y - 6. Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.2 (b) -62090 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9120 and 1920.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*m - 30, 347*j = 346*j + 4*m + 24. Solve -3 = 5*y + 9*g - 6*g, j = 4*y + 5*g - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + 2 - 1 - 2 + (0 + 1 - 3)*(7 - 3 - 2))*(0*i - i + 2 + 3).\nAnswer: 6*i - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4108, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -56 + (-8 - 3) + 2 + (5 - -6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 + 85*h - 106. Give t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/15 - (-4 - (-3 - -1)). Which is the closest to 2? (a) 1 (b) l (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o. Let t(f) = 3*f - 4. Let b(z) = 4*z - 5. Let j be 4\/((-6)\/3) + 3. Suppose 3*u - j = -13. Let k(g) = u*b(g) + 5*t(g). Determine k(n(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {t: 8, q: 2, w: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -300.35528646?\nAnswer: -300.35528646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*u**3 + 3986099*q**2*u**2 + 9*q**2*u + 4*q*u**3 + 10985174*u**3 wrt q.\nAnswer: 4*u**3 + 7972198*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*u + c**3*u - 17*c**3*w - 3*c*u*w + 78*c*w + u*w wrt c?\nAnswer: -12*c**2*u + 6*c*u - 102*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-1 + (-203)\/(-14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 + 1 = u, 3*u - 10 = -l. Suppose -4*q - 6 + 86 = -u*m, 5*m - 20 = -q. Calculate the common denominator of q and 101\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fnsnffns.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8815.\nAnswer: 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6556520.\nAnswer: 2, 5, 19, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8178 or 8083?\nAnswer: 8083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22.063 - 6054709\nAnswer: -6054686.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179621267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*i - 1115839 + 1115869, 5*t = -7*i + 143 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -23. Suppose 4*d = -6 + l. Suppose 0*u = d*u - 40. Solve -2*j - u = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*r + t - 39, 5*r - t + 90 = 0. Let v = r + 42. Calculate the remainder when 73 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19 - 5*h**2 - 54 + 40 + 4*h**3. Let d = 2 + 0. Let z(a) = 3 + a**3 - 2 + 0*a**3 - a**d. What is f(v) - 5*z(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-38))\/(6*(-2)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 6*h + 1. Let w be a(4). Find the third derivative of -5*j**5 + 64*j**2 + 17*j**5 + 15*j**5 - w*j**2 wrt j.\nAnswer: 1620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 9, 8, 3?\n\"Answer: -2*n**2 + 9*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.023 + -0.477. Let m be (-25 - -28)\/(6\/(-4)). What is the closest to 17 in m, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17220)\/(-3500) + -135 - (-2)\/25?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2061 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r - 2*r**5 - 40*r + 42*r + (-7*r**2 + 10*r**2 + 12*r**2)*(3*r - 2*r - 3*r)*(-2*r**2 - 3*r**2 + 4*r**2).\nAnswer: 28*r**5 - 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 81. Suppose y = 7*g - 2*g - 1735. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1336 = -15*v + 869. Which is smaller: 738\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 11.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*o - 4951 - 404 = -175*o + 665 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 19*w + 37. Let k be t(-17). Suppose 4*j - 471 = 2*p + k*j, -j = 5*p + 1195. Let y = 133 - p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2009, -2008, -2007, -2006?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*y - 437 = -1036*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6448.183l to millilitres.\nAnswer: 6448183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i - 3*u - 13, 27 = -5*i + 4*u. Let m(p) = -p**2 - 9*p - 4. What is the tens digit of m(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + -145. Let v be 1\/(11\/p - 4)*-15740. Let d = v - 4047. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 3, 2\/27, 1, 0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 2 = 0. Find the second derivative of b - b + k*b + 2*b + 5*b**5 wrt b.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7144*o**2 - 3580*o**2 - 3575*o**2 + 2.\nAnswer: -11*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 2*x**2 + x. Let o(a) = 2*a + 4. Let p be o(-3). Let f(m) = 317 + 5*m - 316 + 2*m**2 - 13*m**2 - 10*m**3. What is p*f(j) + 11*h(j)?\nAnswer: -2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j. Let z be g(1). Let a = 4 + z. Let v = -12 - -15. Solve 2*b = -2*y + a, v*y - 3*b + 8 = -2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093807 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2. Let k(x) be the second derivative of x**7\/315 - 2*x**4\/3 + 22*x. Let f(n) be the third derivative of k(n). Determine z(f(v)).\nAnswer: 384*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (18\/3 + -3). What is the second derivative of -7*j**u - 2*j**4 - 2*j - j - 3*j**4 wrt j?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:19 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138638 is divided by 362.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -1861, -2791, -3721, -4651?\nAnswer: -5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + g**4 + 3*g**4 + 2*g**2 - g**4 - 2*g**2 + (0*g + g**2 + 0*g)*(g + 3*g**2 - g).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -18*t**3 + 2*t**2 - t. Let f be p(1). Let c = -5 - f. Let w = -7 + 31. What is the greatest common factor of c and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from ppmgjjddggzjzzj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 0, -f - 40 = -5*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 2*f**4 - 271*f**3 + 42582*f**2 wrt f?\nAnswer: 120*f**3 + 48*f - 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 17*h**2 + 27*h - 13. Let v be f(-15). Solve -8*p + 0*p = -v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.803284kg in micrograms?\nAnswer: 3803284000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145645 is divided by 365?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1112000211102?\nAnswer: 1112000211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2113 (base 8) to base 3\nAnswer: -1111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2678, 2619, 2560, 2501?\n\"Answer: -59*u + 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 3*r + 3. Let d = 9 - 14. Let u be b(d). Let a(p) = 15*p**3 - 2*p**2 + 4*p. Let y(z) = 7*z**3 - z**2 + 2*z. Determine u*y(h) - 6*a(h).\nAnswer: h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.93200029 and 0?\nAnswer: 33.93200029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163889.048863 + -92.985863. Let a = 163868 - p. Let c = a - 72. Round c to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/4)*l*l)**(2\/31))**(-2\/3))**(-6\/13) assuming l is positive.\nAnswer: l**(22\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 2*l**2 + l**3 + 5882 - 5869 - 4*l to a*l + m*l**3 + w*l**2 + b and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -4*k, -4*k + 6*k + 5 = -f. Let z(n) = 3*n**3 - 2*n + 2. Let q(g) = g**3 - g**2 - g. Calculate f*z(o) + 2*q(o).\nAnswer: -o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 300*p**2 - 8*p - 35. Let d(f) = 602*f**2 - 16*f - 76. Determine -6*d(n) + 13*j(n).\nAnswer: 288*n**2 - 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.088811 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:05 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*u - 6*u - 27*u + 17*u - 3300*u**3 + 1003*u**3 wrt u.\nAnswer: -13782*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-30)*(13 + 8 + -16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255 + 236. What is the closest to f in 3\/7, 0, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44092.5488 to the nearest ten.\nAnswer: 44090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47049281 to the nearest integer?\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/25))**(-17\/2) assuming a is positive.\nAnswer: a**(-391\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(2\/(-1048)). Suppose 13 = 5*l - h. Suppose -d - l = -6*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 + 241. Solve s + 3 = 0, -4*s - p + 0 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 59\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2. Let s(o) = o. Give s(c) - w(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 101982.23 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10101011?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -75. What is the closest to i in 3\/8, 0.02, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w - 202. Determine y(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.342 + 0.432. What is the second biggest value in 0.034, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1207 and 0.9275747.\nAnswer: 1207.9275747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129.3 + -130. Which is the nearest to -1\/4? (a) z (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175770.97 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -31*g + 136*g - 2*g**2 - 12 + 3*g**3 - 47*g - 72*g - 4*g**3. Give n(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 + 23*w - 78. Is c(14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640465*d + 1280925*d - 2*d**2 - 640460*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 - 53*b - 405. Calculate the least common multiple of r(-10) and 765.\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 2 - 529*h**2 + 0*h**3 + 547*h**2 + h**3 to the form c*h**2 + z*h**3 + f + v*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {d: 1, g: 1, i: 1, a: 2, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t - 1)*(0 + 0 + t**2) - 29 + 5*t**3 + 26 + 12*t**3.\nAnswer: 15*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let q = c + 6. Let o = 0.2 + -0.1. What is the smallest value in 3, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 11*d**2 - 4*d - 15. Let f be m(6). What is the third biggest value in -9, -5, f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from nnnqnqnnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218108, -436206, -654304?\nAnswer: -872402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*z**5 - 3*z**4 + 121*z**2 wrt z.\nAnswer: 660*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54267825 and 4590.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:13 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**2 - 227*i + 22. What is p(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812276 is divided by 304?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 240. Suppose -120 = 7*p - 12*p. What is the highest common factor of p and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75952986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327715207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**3 - 58*o**2 + 16*o - 27. Give u(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, w: 1}. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let r(m) = -94*m + 0 - 18 + 3 + 95*m - 6. Calculate k(r(w)).\nAnswer: w**2 - 42*w + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5244)\/644 - -24*4\/(-112)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 5d?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 + 11 = 0. Let c be (g\/(-4))\/(5\/20). Solve -c*z = -3*z + 2*y, -2*z - 2*y + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4*t + 12 = 0, -3*p - 5*t = -5*p + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/5 + 2)*(-46)\/((-150420)\/150).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -415*f**3 + 4*f**2 + 4*f + 4. Let k(q) = -413*q**3 + 3*q**2 + 3*q + 3. Calculate 4*k(c) - 3*s(c).\nAnswer: -407*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -23 - ((7 + (-9 - 5) - -12) + -8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -110.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328288.0079 rounded to the nearest 100?\nAnswer: 328300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 + 207 + 427*k - 48*k - 411.\nAnswer: 379*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -5*g**7\/7 - g**3\/2 + 3*g**2\/2 + 42*g. What is the second derivative of u(f) wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 1481\/32?\nAnswer: 1481\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, f: 4}. Give prob of picking 2 f and 1 a.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -0.37. Is z equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 24 = -0*m. Suppose 2*j + 2*i - 6 = 0, 0 = -j - m*j - 4*i + 16. Calculate the highest common factor of j and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*y**4 - 67917177*y**3 - 30185448*y**2 - 3353940*y.\nAnswer: 3*y*(y - 279495)*(9*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 944 * -114.5\nAnswer: -108088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - j + 13, -2*j + 4 = 6. Let i(m) = 4*m + 31. What is the lowest common multiple of 11 and i(l)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-446)\/(-7 + (-7 - 3888\/(-279))).\nAnswer: 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671 - 333 + 3*v**3 - 338.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6403472, -12806944, -19210416, -25613888, -32017360, -38420832?\n\"Answer: -6403472*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -1860?\nAnswer: -83\/1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26841 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/22 (b) -2\/507 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-38.7.\nAnswer: -11.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:16 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)\/(4\/20). Let r = -9 - -13. Suppose 12 = -4*b - r. Put 2, q, b in decreasing order.\nAnswer: 2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-3)\/(-2) - 7\/14. Suppose 2*d - 2 = r, -h + 2*d - 6 + 4 = 0. Which is the second smallest value? (a) -15 (b) h (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 3 (c) 3\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -3\/2*s**2 - 2\/3*s**3 - 227 + 35\/4*s**4 - 42*s. What is the second derivative of w(q) wrt q?\nAnswer: 210*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -x + 4, 5*x + 3*p = -2*p + 15. Solve x*s = -s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 13*r - 12. Let o be w(-12). Suppose -5*n - x - 3 = o, -4*x = 2*n - 3*x + 3. Factor 4\/9*s - 2\/9*s**2 + n.\nAnswer: -2*s*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(408\/54)*(-4)\/6*-6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*q = 61, 4*r - q - 38 = 32. Suppose -r*i + 6 = -16*i. Factor 3\/2*a + 0 - i*a**2 + 15\/2*a**3 - 3*a**4.\nAnswer: -3*a*(a - 1)**2*(2*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from {a: 7, l: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -71 + 8 + 12\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(-4*(sqrt(6) + sqrt(30)\/sqrt(5) + sqrt(6) + sqrt(6))))\/(-4*sqrt(3)*-1 - -1*sqrt(3)*-5).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123 is divided by 62.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 32. Suppose -13 = -u*p + 3. Suppose 0 = p*q + 4*q - 90. Solve 0 = -0*n + 4*n + j - 17, 0 = 3*j - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = s, -s - 9 + 7 = -5*t. What is the highest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 - 2. Determine a(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/10 + 36*p**2. Let s(o) = 3*o. What is s(v(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/2 or 886?\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70863 (base 15) in base 7?\nAnswer: 3012453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -8135\/29149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**3 - d**2 - d + 1. Let v = 11 + -7. Let t be (-8)\/((1 - 3)\/(-2)). Let c be 1\/v - 6\/t. What is p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -265. Let d = r - 186. Let v(g) = 13*g - 4. Let s be v(4). What is the highest common factor of d and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 375*v**6\/2 + 679*v**2\/2 - 1334. Find the second derivative of a(i) wrt i.\nAnswer: 22500*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7496.509 days to milliseconds.\nAnswer: 647698377600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12952*c + 247 - 247.\nAnswer: -12952*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 7174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 1\/(2\/8). Let v be (-2)\/9 + j\/27. Suppose -8 = -4*a - v. Solve 0 = -2*w - a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*20\/(-32)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 less than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*u - 2*b - 9, 4*u + 5*b + 21 = 0. Let m be 4*u - (-4 - -5). What is the units digit of 6\/9*m - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 771.53, -3, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1056245964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63957 = 262*o - 20145. What are the prime factors of o?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 - 23*f - 18. Determine h(-9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/1569, 0.2, -1\/11, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73287001, 146573990, 219860977, 293147962, 366434945?\n\"Answer: -l**2 + 73286992*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-270)\/(-4)))\/((130\/78)\/(-5)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(224\/(-20))\/(-7) - -26*(-36)\/24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18421 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i. Solve -2*x - 31 = 5*v + 4, i = 3*x - 5*v - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 194276*p + 194283. Give l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2 + -1)\/(359 - 182)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7200) - sqrt(7200)*1)\/sqrt(10))**2 + -6*(sqrt(20)\/sqrt(4) + sqrt(5) - sqrt(5)) + 0)*6*2.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*w = -527*w + 10. Let m(s) = s - 73. Let y(k) = 24. Give w*m(t) + 7*y(t).\nAnswer: 2*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 10) to base 7.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -598\/76987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 6*f - 27*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29625122?\nAnswer: 2, 67, 221083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284088.8 millennia in decades?\nAnswer: 28408880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*q + 352*q - 5 = g, -5*g + 11 = 3*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 - -87. Let v = t + 998\/3. What is the common denominator of 10\/39 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/39 - -191\/78. What is the closest to -3 in -1\/6, w, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14283739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2*p**2 + 4*p**2 + 3*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/5 + x**4\/12 + 2*x**2 + 3*x. Let f(u) = 5*u**3 - u**2 - 5. Give -2*f(k) - 3*y(k).\nAnswer: 2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 334.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1056*g**2 + 30*g - 7. Is c(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4810.83 - 4804.83. Let u be 4\/10 + 9\/(-10). Let g be -1 + ((-5)\/2)\/5. Sort t, g, u in ascending order.\nAnswer: g, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - 19. Let d = b + 60. What is the first derivative of -21*l**4 + 9*l**4 + d - 9 wrt l?\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4 - 1120*n**3 - 9225*n**2 + 263340*n = 0.\nAnswer: -19, 0, 12, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1144 and -38\/6550401?\nAnswer: 52403208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - (8 - 23)) + 7 - 27) + 20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69744?\nAnswer: 2, 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2335 + 2.7665. What is the second biggest value in 13, -0.1, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -419\/1060 + -1\/212. Let r = -3.1 + 3. What is the closest to t in r, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -10. Let o = -17 - b. Let a(s) = -s**3 - 4*s**2 - 4*s - 3. Let g be a(-3). Solve -o*r + 9 = -5*c, g*r + 2*r - 3 = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.453 and 0.4.\nAnswer: 16.9812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, 2\/9, 1654, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 6*p - 10. Let z be j(3). Which is smaller: 187\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71546 less than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4.9. Let k = -1.6 - f. Let a = -91 + 91.2. What is the nearest to a in 4, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 15680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-6))\/((-4)\/(-312)). Let q be (2 + 56\/(-35) - 258\/(-5))*1. Calculate the greatest common factor of p and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15216, -16, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2840*v**3 + 5721*v**3 - 2860*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((1\/(-5))\/(-1)). Solve -3*o - 10 = 5*p, -4*p = -w*o - 5 + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3386 - 1755. Let b be 18\/81 + i\/(-9). Let v = b + 343. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3976, -6555, -9146, -11755, -14388, -17051, -19750?\nAnswer: -22491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + -1))**2.\nAnswer: -720*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51858, 56377, 60892, 65403, 69910?\nAnswer: 74413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38733 is divided by 538.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 12*b**2 + 10*b - 3. Let j be t(-11). Suppose 4*s + 148 = j*s. Suppose -5*u + s = -233. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2583 and -31\/90?\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1387814 (base 11) to base 8.\nAnswer: 11054476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -549 + 529. Let z(s) = -2*s**2 + 9*s. Let p be z(6). Let v = p - u. Solve v*o - 5*o + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21270 - 0)\/(92\/40 + -2). Round d to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.1. Let g(y) = -y**3 - 7*y**2 + 8*y - 6. Let c be g(-8). Let r be (-3)\/2 + (-27)\/c. What is the closest to w in 1, r, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3436 is divided by 856.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72.4 + 47.8. Let c = 11.6 + r. Sort c, 0.2, 2\/7, -2.\nAnswer: c, -2, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36162\/902 - -10*16\/176?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/23, -1248, 1\/3, -16\/49, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -166, 3, -2 in ascending order.\nAnswer: -166, -11, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooduzzoozohhu. Give prob of sequence hhu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(49\/((-2499)\/(-306)))*(-9)\/170?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4906.0705113625 + 0.1?\nAnswer: -4905.9705113625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let j(l) = l**2 - 4*l - 7. Let y(b) = j(b) + 4*m(b). Let c be y(4). List the prime factors of (c - -1)*(-1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 232 = -72. Suppose 3*f + f - h = 0. Solve 0 = 6*m - m - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from exevvfvvv.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s**3 + 3\/4*s**4 + 0*s - 2*s**2 - 4. Find the second derivative of k(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/40)\/(-3))\/(31\/((-1984)\/204))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g**3 - 3*g**2 - 23*g. Let v(q) = 3*q**3 - q**2 - q. What is -4*v(b) + z(b)?\nAnswer: 2*b**3 + b**2 - 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**6\/360 + f**5\/120 - f**4\/12 - 5*f**3\/3 + 3. Let r(v) be the third derivative of n(v). Is 9 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 1 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1571185903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.27 + 42.4. Let l = s + -0.13. Let u = 13 - l. What is the nearest to u in -3\/2, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 15*w**2 + w - 14. Let h be i(7). Let n = h - -79. Calculate the remainder when 125 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.3 + -37.3. What is the smallest value in h, 0, -2\/9, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24884?\nAnswer: 2, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.059 (b) -0.09 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 15*f**3 + 3*f**2 - 63*f - 54.\nAnswer: 3*(f - 2)*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 9*r**2 + 15*r - 7. Let a be c(-6). Suppose 7 = -10*t + a*t + k, t + 1 = -5*k. Suppose -2*o + 269 = -t. What are the prime factors of o?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 6*o = -10. Let n = -13 - o. Let f = n + 26. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:21 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let f be (-3)\/5 - (-1589)\/(-60). Let m = f - -27. Is m at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 664944904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23353 + 63*j + 23353 as b + a*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1208 - 0?\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 441. Let x be n(0). Let d = -346 + x. List the prime factors of d.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a*a**(-1\/7)))**(-49))**(-2\/23) assuming a is positive.\nAnswer: a**(-182\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 + -2251.\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33407331 to the nearest integer?\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86408, -172819, -259246, -345695, -432172?\n\"Answer: -s**3 - 2*s**2 - 86398*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Suppose -4*a = -4*i - 8 + 28, 0 = 4*i + 8. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 16) to base 11\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -417 and -651.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23326540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 80*u + 1 + 15*u**2 - 10*u**2 - 6*u**2.\nAnswer: -10*u**2 - 80*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/5 - 846*t**4\/5 + 16788*t**3\/5 - 110166*t**2\/5 + 54243*t - 176988\/5 = 0. Calculate t.\nAnswer: -301, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1\/5 (b) 1\/16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/((-18)\/(-3))*(-13)\/((-728)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6307112 and 224.\nAnswer: 25228448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, n: 4, o: 1, r: 7}. Give prob of picking 2 n and 2 r.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**23)\/k*k**13 assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -3097.1?\nAnswer: 3097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 37*f**2 - 6*f + 216. Determine y(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwn when three letters picked without replacement from ccynamwcwymm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 36 = -k. Calculate the smallest common multiple of 8 and (4*k\/(-6))\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/51700 and -29\/20.\nAnswer: 51700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4745071*g**2 - 2*g + 4304952 wrt g?\nAnswer: 9490142*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -19.7*0.3\nAnswer: -5.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.772 + 2.442. Let t = d + 15. What is t rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/5, 0, -1 in increasing order.\nAnswer: -1, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (19 - 20) + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from pxbsvpwvxbxwspxx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*o + 18, -2*p - 7 = -4*o + 5. Let n(i) = 3*i + 2*i + 4 - 4. Calculate n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - 3*y)*(0 - 3 + 2) + (-2 - 2 - 1)*(0 + 2*y + 0).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1041417 + -9385262\/9. Let t = -1394 - s. What is the common denominator of t and 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 5*a + 2*b - 3*b = -20, -2*b = -3*a - 5. Let o be (-4)\/6 - a\/3. Solve k*l + 9 = o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 - 14*i**4\/5 + 56*i**3\/5 - 8*i**2 = 0. Calculate i.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4\/2 - 265*j**3\/2 - 570*j**2.\nAnswer: 5*j**2*(j - 57)*(j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 845224919*w**4 + 699129374*w**2.\nAnswer: 20285398056*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(1*sqrt(60)*-5)\/((sqrt(48)*-1)\/sqrt(4))*3)**2.\nAnswer: -27000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-637)\/98 - 1*(-2)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106766)\/759 + 141 - (53\/22)\/((-6)\/(-4)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 (base 11) in base 7?\nAnswer: 12552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17501294 is divided by 169.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/149506344 and -91\/212972.\nAnswer: 149506344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*m + 746*d - 742*d, 5*m = -132*d + 1300 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (-6 + (5 - (-13 - -2)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 21152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207867 divided by -1.\nAnswer: 207867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7104, 14264, 21424?\nAnswer: 28584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 13 = -5*o, 6*t = 7*t - 4*o - 13. Does 8.36 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b**3 + 3*b**2 - 25*b - 58. Determine g(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 3865?\nAnswer: 3\/3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-92)\/(-102) - -14*21\/(-441)). Let r(f) be the third derivative of -f**6\/120 + 4*f**5\/15 + 2*f**4\/3 + 13*f**3\/6 + f**2. Give r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3451?\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512 (base 9) to base 11.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - 2*x + 3. Suppose 0*l = -5*l + 20. Suppose 0 = 4*k + l*c - 3*c + 14, 5*k - 3*c + 9 = 0. Let u be q(k). Which is greater: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19917, -79761, -179537, -319245, -498885, -718457?\nAnswer: -977961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127736507*h**2 + 155804948*h.\nAnswer: -255473014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34680 = -95*d + 33*d - 40*d. Calculate the remainder when 351 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 83. Let x = -19 + m. Suppose 0 = -5*d + 2*g + 95, -3*d + g + x + 40 = 0. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/1)\/(1356\/(-226)))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.12759 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007952514 to seven decimal places.\nAnswer: -0.0000795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a + a)*(5*a - 2*a + 1 + 2*a).\nAnswer: 20*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 13, 3, 1, -41 in ascending order.\nAnswer: -41, -8, 1, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445084271 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 2 - 0) + 1 - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263 (base 12) to base 9.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/41 - (11 - 9)*(-5)\/10\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 2 + 2 + (5 - 5 - 1)*(0*w**3 + 3*w**3 + 0*w**3))*(435*w - 2255*w - 746*w).\nAnswer: 12830*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -223, -1, 4, 54 in decreasing order.\nAnswer: 54, 4, 3, -1, -4, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6\/18 + (-7)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*q + 7*q - 2, -3*n - 3 = 3*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32687 - -32689. Solve 0 = -2*q - 8, 0 = -h*s + 2*q - 0*q + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.35 + -5.35518. Round l to four dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {w: 1, l: 2, y: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 5 - 5*h**2 - 5. Let k(b) = 3*b**2. Give l(k(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2942\/15 + 196. Are -1 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*9\/(-3807)*2\/5. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 6 (b) 0.3 (c) 2\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 326*l**3 + 322*l**3 - 4*l. Let h be q(-1). Suppose -2*o - 115 = -7*o - 3*z, h*o + z = 65. Solve -p + o = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35105.29 litres?\nAnswer: 35105290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297, -280, -37, 546, 1583?\n\"Answer: 19*m**3 - m**2 - 113*m - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3, -1, 0, 2, -19\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214787 and -4.\nAnswer: -859148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 15. Let o be 23\/(-7) - j\/56. Suppose -7 + 19 = -4*s. Is s > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13113*f**3 + 13115*f**3 + 6403*f**2 + 14 - 6403*f**2.\nAnswer: 2*f**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -29*u. Give g(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/(-8))\/((-1)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92700856219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 1 + 2\/7*u**3 - 6\/7*u**2 + 16*u - 3\/35*u**5 + 3\/28*u**4 + 1\/70*u**6. Suppose g(f) = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85293546 divided by -1093507?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:57 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*w**2 + 5549*w**2 + 3684*w**2 + 996*w**2.\nAnswer: 11052*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -108, 276, 1020, 2172, 3780, 5892?\nAnswer: 8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b751 (base 14) to base 8.\nAnswer: -75613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {b: 12, p: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 16418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + z**4 + (-2*z**2 + 2*z**4 + 2*z**2)*(-18 - 16 + 0) + z**4 - 2*z**4 + 2*z**4.\nAnswer: -66*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207*x + 143*x**2 - 3 + 110*x + 114*x - 148*x**2 - 4*x**4 to b*x + d*x**3 + j*x**2 + c + y*x**4 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syyssyyyysyyyyyyyy. What is prob of picking 3 y and 1 s?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*300.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222 + -3?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 306*n**2 + 912*n - 9. Determine k(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**26*z**(-3\/29) assuming z is positive.\nAnswer: z**(751\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-18) - 9\/(-162)*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olllllloollvlvolloll. What is prob of picking 2 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -36171264.\nAnswer: 5\/36171264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 2*p + 9. Let k be d(0). What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/5 - 9662433*t\/5 - 9662434\/5 = 0.\nAnswer: -1, 9662434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49114359 is divided by 1166.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/13 (c) 1\/4 (d) -1\/7 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.473267 millennia in decades?\nAnswer: 47.3267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(4\/9)*w*w**(1\/4)\/w*w)\/(w**7*w**7*w))**(-50))**50 assuming w is positive.\nAnswer: w**(299375\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1603\/308 - (-1)\/16*-12.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Let l be r(-5). Solve l*q = 2*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179897334?\nAnswer: 2, 3, 211, 142099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -477 + 10*s - 12*s + 467. Calculate j(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634031821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11882 - 8214. Suppose -a = -s - 2095, -2*a + 518 = -3*s - k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34562\/33 - 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 220 - 620 = 0. Suppose 3*o = -3*f - 17 + i, 5*o = -2*f + 40. Suppose -68 = -o*v + 40. Solve 0*t - v = -t + 3*b, 4*b + 20 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34428 divided by -6.\nAnswer: 5738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 31*c**2 - 71*c - 144. What is the remainder when 185 is divided by z(-33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316 - -448. Let r = w + -79. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -16, -2, 2\/11, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 9*f + 9. Let r(c) = 6*c**2 - 13*c + 13. Let s be (3 + 50\/(-30))*21\/(-4). Calculate s*a(x) + 5*r(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 709 + 243 = 0. What is the highest common divisor of g and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 299. Let k(d) = -6*d. Calculate k(b(f)).\nAnswer: -6*f - 1794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8906 by 122.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2. Let p(n) = -355*n**2 + 568. What is -284*c(k) - p(k)?\nAnswer: 71*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**5 + k**4 + k**2 + k + 1. Let d(t) = -t**5 + 66*t**4 - 330*t**3 + 516*t**2 + 171*t - 754. Let z(w) = -d(w) - 4*y(w). Find q, given that z(q) = 0.\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*f)*(-5 - 2 + 4) - 2*f + 0 + 0 - 1 - 2*f + 1 - f + 0*f + 3*f + (f - f - 2*f)*(-2 + 3 - 3) - 4*f + 2*f + 4*f + 4 - 4 + 2*f + 3*f + f - 5*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284206650 by -390.\nAnswer: 728735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9844\/(-230) + (-13 - -1)*7\/70?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(15\/(75\/10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1295 and 2849.\nAnswer: 14245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/23 in 2\/19, -83, -3, -1, 33?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44516 - 33\/(-3) - 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o + 48. Let d be k(6). Let l(c) = -c**2 + 6*c - 2. What is the remainder when -369*10\/(-90) + (-2 - d) is divided by l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 98, 106, 98, 68, 10, -82, -214?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 13. Suppose -p = -a + 1. Suppose 3*y - 7*y = -2*l - p, l - 24 = -3*y. Calculate the remainder when 24 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*z - 300 = 0, -j - 44 = 5*z - 164. Suppose 3*w - j = 3. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -121, -62, 31, 164?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2312103225 + -11?\nAnswer: 2312103214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 7, v: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 429040 and 343232?\nAnswer: 1716160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 26*j + 3. Let q = 144 - 131. Let o be i(q). Solve 3*a + 7 = 2*a - 3*r, 4*a = o*r + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2706703 (base 8) to base 14\nAnswer: -159d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15626646 divided by -248042?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -278, -908, -2132, -4148?\nAnswer: -7154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.90918 litres to millilitres.\nAnswer: 15909.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 545395925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -r. Let o(w) = -w**3 - 1. Let v(q) = -6 + q + 3*q + 5*q**3 - 4*q**3. Let g(x) = r*v(x) + 6*o(x). Find the second derivative of g(d) wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -20285 + 101*v - 300*v - 4*v**2 - 10198 - 33021 - 809*v = 0.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 10 = -158. Which is the closest to -2\/9? (a) -2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*f + 11520, 10728 + 792 = 4*p - 3*f. Suppose p + 522 = 9*m. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.96 + -42.96. Let b = -11.9 + -40.1. Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-544*k + 296*k + 291*k)*(-4 + 0 - 1) in the form w + h*k and give h.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94.3499983675 + 94.35. Round q to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22*v. Let f(n) = -45*n. Calculate 7*c(s) - 3*f(s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-3)\/(-9). Suppose 0 - 26 = -4*z + 3*c, c = -2. Let x = z - b. What is the highest common divisor of x and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.5 + -16.2. Which is the nearest to v? (a) 0 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*r = 8, 4*k - r = 14 - 0. Let n(c) be the first derivative of 4 + 0*c**2 + 3\/2*c**k + 0*c - c**3. What is the third derivative of n(h) wrt h?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -183*b - 1. Let u(z) be the third derivative of z**5\/30 + 295*z**2. What is s(u(m))?\nAnswer: -366*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27\/40 - -4\/5. Let h = -1\/24 - t. Let s = 1.3 + -0.3. Which is the closest to s? (a) 0.2 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32112093.\nAnswer: 3, 13, 71, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 3)*(-119)\/(-34). Solve -3 = -q*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + (-32 + 15 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 8596?\nAnswer: -8594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 5*n + 5*g, 5*g = 91*n - 88*n - 131. What is the greatest common factor of n and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 0*n**7 + 0*n**3 + 0*n + 3*n**2 + 1\/168*n**8 - 1\/24*n**4 + 0*n**6 + 0*n**5. What is the second derivative of q(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((sqrt(3) - (sqrt(12)\/sqrt(4) + sqrt(3)) - sqrt(3))*6) + 5.\nAnswer: -sqrt(17)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-300)*(-2)\/(-3)*-1. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32379, -34037, -35693, -37347, -38999?\nAnswer: -40649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:09 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4840011*n - 4840011*n + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2305 + 2537. What is the smallest common multiple of h and 24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*d + 2*f - 40, 5*d - 15 = 2*f. Let n(t) = 5*t + t - d*t. Let v(p) = -7*p**2. What is v(n(g))?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14495, 29159, 43985, 58967, 74099, 89375, 104789, 120335?\nAnswer: 136007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*c - 47, -7 = 3*c - 2*g - 31. Let l(h) = 2*h**2 + 430*h - 431. Let t be l(1). Sort t, c, -4 in ascending order.\nAnswer: -4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 47*o. Let g be -4*55\/88*14\/5. Let f(v) = -4*v**2 - 4. Let x(c) = 9*c**2 + 7. Let n(k) = g*f(k) - 4*x(k). What is y(n(z))?\nAnswer: -376*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*b + 3*h + 3, 0 = 4*b + h - 25. Suppose -3 - 5 = -2*k + z, -b*k - 5*z = 10. Sort k, -3, 0.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m*m*m\/(m\/m**(2\/25)))\/(((m*m*m\/m**(-5))\/m)\/(m*m**(-8)*m)) assuming m is positive.\nAnswer: m**(-2953\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 31. Solve 2*j = -2*l + j - 12, q*j = -4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32752 less than -951650?\nAnswer: -951650.32752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17575176.\nAnswer: 2, 3, 732299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46015069897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101000111110100100 - 101101?\nAnswer: 111101000111101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -44*b. Let t(p) = 8*p. Let r(z) = -5*m(z) - 28*t(z). Let l(y) be the second derivative of 0*y**2 - 1\/3*y**3 + 16*y + 0. What is l(r(u))?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a. Suppose a = h + h - 14. Let o(v) = -v**3 - 6*v**2 - 2*v - 4. What is the smallest common multiple of o(-6) and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 3*s + 100 = 0, -11*s + 6*s - 99 = i - 0*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzzxzdzltzldidtxttx. Give prob of sequence tzxi.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12335.8 and 157.\nAnswer: -12178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2682802 litres to millilitres.\nAnswer: 268.2802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 57, -32, -111, -156, -143, -48?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3 = r - 1, 3*g = -5*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 6*r**2 - 7*r - 3. Let n(z) = 4*z**3 - 17*z**2 - 21*z - 8. Let t(o) = 2*n(o) - 7*v(o). Let l be t(-7). Solve -4*g + l*g + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2 + 0)*(128 - 127). Which is smaller: -3\/193 or h?\nAnswer: -3\/193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.3 (c) 3\/4 (d) -16242\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {e: 7, s: 2, f: 2, h: 2, y: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(56\/(-8)) + 0)*(-149)\/3. Solve -16*w - p = -213 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13918*i**6*z - 2*i**3*z**3 - 2*i**2*z**2 - z**3 - 10*z + 939 wrt i.\nAnswer: -1670160*i**3*z - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 - 113*c\/3 + 230\/3 = 0 for c.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, 47, 163, 327, 539?\n\"Answer: 24*d**2 - 4*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 11 + (-13 - -6) + (-12 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 4*c. Is (-33 + 4)*c*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-4)\/g))\/(g\/g**(-3\/7)))\/(g**(2\/3)\/g**(-4\/5)))\/(g**3\/(g\/(g**(1\/6)*g))*g**(-2\/5)\/g**(-2\/3)) assuming g is positive.\nAnswer: g**(-23\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1)*-4 - ((-10 - -13) + -3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 800606966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/92, 2\/14589, -0.3?\nAnswer: 2\/14589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 824544179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(1573) + sqrt(1573) - (sqrt(52) + -1 + -5).\nAnswer: 11 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 15 = k, 5*k - k + c - 16 = 0. Suppose 2*t - 2 = -2*l, -k*t - 3*l + 3 = -0*l. Solve v - 5*v - 16 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2011119 and 9?\nAnswer: 6033357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/221 (b) -8 (c) -3\/4 (d) 0.07 (e) 0 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 2*g**2 - g + 6. Let u(q) = -2*q**3 + 2*q**2 + 5. Let y(r) = -3*t(r) + 4*u(r). Let w be y(-1). Solve 0 = 3*h + 15 - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14571 - 8870. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/20 + v**4\/3 - 2*v**2 - 2*v. Let r be b(-3). Suppose 20 = -4*p - 0*p. Put p, r, -3 in increasing order.\nAnswer: p, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -1, 0.2, -3.42, 161?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 3*m**5\/20 + 5*m**4\/24 - m**3\/6 - 12*m**2. Let u(v) = 5*v**2 + 3*v. Give 3*k(c) - 5*u(c).\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/(-74))\/((-30)\/3).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 4*r + 75 + 3*r - 86. Is 29 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44.87962 times 0.3\nAnswer: 13.463886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -47*p**2 + 6*p. Let m(d) = 16*d**2 + 5393 - 2*d - 10774 + 5381. What is 17*m(q) + 6*v(q)?\nAnswer: -10*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42\/5, -36, -3\/4 in decreasing order.\nAnswer: 42\/5, -3\/4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 20 = 2*y. Which is greater: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/20*((-630)\/(-125) - 5). Let x = -257 - -256.7. What is the second smallest value in x, b, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24469 - -27?\nAnswer: -24442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:07 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6*-2*-3. Let y be (-25)\/15 - h\/3. Let v(b) = -2*b**3 - b**3 - b**2 - b**3 + 1. Give v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 4*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 7*b**2 - 9 + 6*b**2 + 11*b - 16*b**2. Let o be a(-7). Let m = -122 - o. What are the prime factors of m?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5567)\/((-4)\/(-4))*(0 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(36)\/(1*1*sqrt(12) + sqrt(12)) + -1.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 5:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8, -3*i + 2*l + 10 = -2*i. Suppose 4*j = -5*v + 28, -v = -j + i*v - 10. Solve -j*s + s = -n, -5*n = 4*s - 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*x)*(4*x**2 - x**4 + x + 3*x**4 - 3*x**4).\nAnswer: -2*x**5 + 8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-8) + (-5 - (-1 + -1)). Let j(o) = 8*o - o + 10 + o**3 + 1 - 3 - 8*o**2. Let k be j(7). Calculate the highest common divisor of k and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 1. Let j be w(3). Let b = j + -33. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 4*p - 3*d - 36, -p = 2*d - 6. Calculate the remainder when ((-4)\/8)\/(1\/(-108)) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 102\/((9\/(-2))\/3). Let d = c - -114. Suppose 114 + d = 4*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(27) + sqrt(27)) - (sqrt(27) + -3*(sqrt(675) + sqrt(27)) - sqrt(27)))\/(5*(sqrt(72)*-2)\/sqrt(8)))**2*-3.\nAnswer: -1296\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 45\/(-9) - (0 + -55 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.079300411 to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -22*s**3 - 9*s**2 - 4*s - 138. Let a(o) = 22*o**3 + 8*o**2 + 3*o + 137. Let c(p) = 4*a(p) + 3*f(p). What is the first derivative of c(i) wrt i?\nAnswer: 66*i**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4636353 millennia in years?\nAnswer: 463.6353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -15. Let x(g) = 3 - 6*g**3 + g + 0*g**3 + 5*g**3. Let n be x(0). What is the closest to 0.2 in c, n, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024 + -2001 + (-2 + 2 - 21) - -131.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -214*m - 15. Let w be y(-3). Suppose 438 = 5*j - w. What are the prime factors of j?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0 - 4\/(-2))\/(-1). What is the remainder when (-18)\/(-3) + z - (-249)\/3 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:39 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert c45c (base 15) to base 4.\nAnswer: 22020033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -32. Let y be (-2)\/(-1*(-1)\/2). Let p = -2\/11 - -32\/55. Which is the biggest value? (a) y (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.303 - 0.803. Let p = 30 + -29.5. Which is the closest to -5? (a) p (b) h (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajf when three letters picked without replacement from {a: 2, j: 9, f: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-88)\/32*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**(4\/7)\/s)*s)*s**(-6)\/s)**0)**4)**(-1\/58) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 269. Let n be i(15). Suppose 2*x + 2*x = -148. Let g = -24 - x. What is the highest common divisor of n and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 5. Suppose -4*n = -0 - o. Factor 3*c**2 - 4*c - 3*c**4 + 0*c**n + c + 2*c**3 + c**3.\nAnswer: -3*c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4946*c - 4951*c + 3*x, -7*c = -x - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -15) + 2\/(6\/(-33)). Let q = 6 - 2. Put 0, c, -13, q in decreasing order.\nAnswer: q, 0, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 174918616 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 2*n**5 + 19*n**4\/24 + n**3 - 29*n**2 + 1. Is q(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w + 3492 = -312*w + 13757 + 1417 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(121)*5)\/sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216862 + -98351. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 19*v**2 + 14*v - 25. Let r be n(10). Let j be 4764\/r*((-3375)\/(-18))\/5. What is j rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = 5*q - 5*y, -2*q = -6*q - 4*y + 460. Which is smaller: q or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 22*v - 13. Let o = -124 - -89. Let p be (-10)\/(-35) + (-725)\/o. Let w be l(p). Solve 0 = 3*k - w*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26.1? (a) 3201 (b) 0.1 (c) 0.2 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Is 12 a factor of (4 + n)\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1\/4, -11, -3\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 59*z**2 + 21*z + 28. What is m(29)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d*v**5 + 5*d*v**2 + 53*v**6 - 55*v**2 wrt v.\nAnswer: 600*d*v**2 + 6360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9696*h*z**5 - h*z**4 - h*z**2 + 2*h - 1006*z**2 + 5*z wrt z?\nAnswer: -581760*h*z**2 - 24*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(18\/(-6) + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5536 + 6844. Calculate the smallest common multiple of s and 4.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-22) + (4200\/(-8750))\/((-33)\/20)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(15 + 30 - 53 + 5*a**2).\nAnswer: -5*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 8220?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 125 = -450 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -267957.4.\nAnswer: -267944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (620\/110)\/(45\/(-99)*22\/(-55))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*v = -177, -2*v + 4 + 2 = 0. Let b be d*1 + 9 + -12. Let r = 111 + b. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -491 + 470 + -11 + 1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1126 + -1124. Solve c + 20 = -c + 3*z, -4 = -n*c - 3*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023751895 to 7 dps.\nAnswer: 0.0002375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0977787367 from -0.04.\nAnswer: -0.1377787367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose 3*k - 22 = -4*b, 2*b + 22 = 4*b - 4*k. Let t(s) = s - 11. Let r be t(b). Put d, 5, r in descending order.\nAnswer: 5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13380 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:28 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1229 + -1173\/34412. Let r = -1\/4 - u. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-21)*756\/(-72).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 7\/5, 1\/4, 3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/16 - (-6)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106468, 106565, 106660, 106753, 106844, 106933, 107020?\nAnswer: 107105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/4, -1\/10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o + 6*o + 2*o + 6. Let z be w(0). Solve k - z*k + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1449.2 + 1449. Put c, -6, 0.13 in ascending order.\nAnswer: -6, c, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -28. Suppose 2*i - 40 = -5*o, -c*i - 13*o = -9*o - 66. Suppose 0 = -7*v - i + 38. Solve 0 = -k + 2*d - v, 8*k = 3*k + d - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 949 + -946. Sort t, 5, 2\/17, 2.\nAnswer: 2\/17, 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*p - 165*p - 172665 = 0. Let v = p - -1688235\/88. Find the common denominator of 7\/16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r, -2*u - r + 4*r - 23 + 31 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/(-10))\/((-696)\/870).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 27372.\nAnswer: 301092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -2. Suppose -s - k - t = -2*s, 4*s = -3*k - 10. Is -1\/18 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 - 109 = -26*a + 26 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3 + 4*v + 0 + 4. Let m be h(1). Suppose 0*z = -z + m. Solve -z*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b + o + 447, -3*o - 211 = -b. Suppose -b = -2*u + 384. Suppose l = 4*w + 50, -l + u = 3*l + 5*w. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17632762 divided by 4\nAnswer: 8816381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/7)*p)\/p**6)\/(p*p\/(p\/(p\/((p**(4\/21)\/p)\/p*p)))*p**(-19)*p))**(16\/7) assuming p is positive.\nAnswer: p**(544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5618392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7029243*m**3 + 354*m - 397.\nAnswer: 42175458*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4200)*2 - sqrt(42))\/(sqrt(216)*2) + (0 + sqrt(343) + -4 + -2*sqrt(343) + sqrt(343) + 0)**2.\nAnswer: 19*sqrt(7)\/12 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59154620 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3187960\/(-150))\/((-22)\/10). Let g = -9663 + o. Calculate the common denominator of g and 49\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -401, -17, 4 in decreasing order.\nAnswer: 4, -17, -18, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7)\/(-2) - 3)\/(7\/59318)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554667.\nAnswer: 3, 19, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 15*h - 32. Calculate the remainder when a(3) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -4632.\nAnswer: -9264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 4*s + 2*s - 3*s = -15*x - s + 28, -16*x = 3*s - 59 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 3516?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11242.98 - 11243. What is the nearest to -1 in -0.01, -1\/2, n, -2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*n**3 - n**4 - 2 + 3*n**4 - 2*n**3 in the form w*n**4 + x*n**2 + c*n + l + o*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4*h + 42*g**2*h - 5*g*h + 6*g - 39060*h wrt g?\nAnswer: -4*g**3*h + 84*g*h - 5*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m + 2*m - 36. Suppose 0 = -d + 5*s + 33, 0 = m*d - 5*s + 19 - 108. Calculate the remainder when 78 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 2, d: 5, h: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -52, -139, -272, -457?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6587952 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1911, 3565, 5223, 6885, 8551, 10221, 11895?\n\"Answer: 2*k**2 + 1648*k + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + -3 + (4 + sqrt(833)*-1 - sqrt(833)))**2 - (-5*3*sqrt(153)\/(1*sqrt(9))*-3)**2).\nAnswer: -93252 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3124 divided by -2\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) 7 (c) 82\/5 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-95238)\/132)\/39)\/((44\/16)\/11)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1675, 3347, 5031, 6733, 8459?\n\"Answer: d**3 + 1665*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2155 - -5?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/2*(1 - -23).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/236640 and -31\/3480?\nAnswer: 236640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8042683 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742715 is divided by 5087?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 40. Let w be -2*(39\/6 - 3). Let i(n) = -2*n - 19. Let k(q) = w*i(q) - 3*x(q). Determine k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2066063 (b) -0.5 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -393, -332, -255, -156, -29?\n\"Answer: s**3 + 2*s**2 + 48*s - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659087 is divided by 1956.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(15)\/(sqrt(3)*-1).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + 26. Calculate the greatest common divisor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 22 = -55. Suppose -5*y + 0*a = -5*a, -4*a - 7 = 3*y. Let l be -2 - (y + 0)*4. Solve l*v + 8 = -5*z, -z - 5 = 2*v + t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/23? (a) -2 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8425924 and 481.\nAnswer: 311759188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 - 125. Let k(h) = -h + 1. Let t(j) = j**2 - 3*j - 6. Let z(i) = 6*k(i) + t(i). Determine z(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -3 + 1)*1. Suppose -x*h = 4*l, 3*h = 5*l - 12 - 15. Solve -3*i + l = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**7\/2520 + m**6\/360 + m**5\/120 + m**4\/24 + 3*m**2. Let q(y) be the second derivative of h(y). Determine d so that q(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 36*g**2 - 53*g + 237. Determine r(37).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k + 359. Let i be o(-42). Let c be (-20)\/14*(-7)\/3*3. Calculate the greatest common divisor of c and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -3 + 6 + 8 + -10 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 7\/12*k**4 + 9\/2*k**2 + 1\/20*k**5 - 17\/6*k**3 + 5 - k. Factor g(o).\nAnswer: (o - 1)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddfddddfidfddf?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*44\/(-6)*(-6)\/(-8). Calculate the remainder when 335 is divided by (3 - 0)*(176\/q - -23).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 + 0*t**5 + 0*t**5)*(2 + 0 + 0) + (3*t**3 - 4*t**3 + 2*t**3)*(-t**2 - 8*t**2 + t**2).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415831.1g to tonnes.\nAnswer: 0.4158311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1473 + 1471. What is the nearest to -2 in -0.2, -23, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 139. Solve -2*x + 2*y = o*y - 3, -5*y = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = -2694*j + 2757*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*t - 3499 + 983, y - 629 = -t. Let w = y - 168. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47791415?\nAnswer: 5, 7, 97, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 10, j: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 - 8. Let k = j + 0. Suppose -v + 24 = 5*v. What is the nearest to 0.1 in 0, v, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 16, 11, 3 in decreasing order.\nAnswer: 16, 11, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045559803 to five decimal places.\nAnswer: 0.04556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2329, 4670, 7011, 9352, 11693, 14034?\n\"Answer: 2341*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 96137?\nAnswer: 769096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111082 centuries in years?\nAnswer: 1.11082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 55. Let c(q) = -98*q**3 + 2*q**2 - 3*q + 2. Let i be c(1). Let k = -115 - i. Let s be g(k). Which is smaller: 1\/67 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -199\/2. Which is smaller: v or -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/12)\/((-4)\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239974372.\nAnswer: 2, 11, 1913, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67348 and 47008?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:19 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1673 - 1673.1. Let n = 288 - 3170\/11. Which is the nearest to 2? (a) n (b) 9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 6*v**2 - 2*v + 1. What is the remainder when p(-4) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 492*d + 987. Let m be r(-2). Let f(x) = x + 4. Let k(j) = j + 4. Determine m*k(y) - 2*f(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z - 2*o - 18, -2*o + 2 = -5*z. Let n = z + -1. Let g = 5 + n. Solve -g = y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165981 + -25229219\/152. Calculate the common denominator of k and 113\/2584.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3*s**4\/4 - 5*s**3\/3 - 9*s**2 + 7*s - 19. Is j(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l**(-8)\/l*l*l))\/l**11*(l*l\/(l**(-20)\/l)*l)\/l*l*l*l\/((l\/l**(1\/29))\/l*l))**(-11\/3) assuming l is positive.\nAnswer: l**(-7667\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/934597205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 9*b + 1. Let p be c(9). Suppose -5*u = 20, -3*u = -5*a + 18 - p. Let q = 3784 - 3782. Solve -2*l - 2*d = -18 + q, 2*l = d + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 858*i**2 - 4. Let s(h) = 858*h**2 - 5. What is 5*j(y) - 4*s(y)?\nAnswer: 858*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1641 + -1672 - (-1 + -13 - 1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460587*y = -460585*y + 6*u - 12, 4*u - 20 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**4 + 3*w**2\/2 + 25. Find the second derivative of s(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6*x - 14. Factor 0*d**2 - 8*d - d**2 - 18 - x*d + 4*d**2.\nAnswer: 3*(d - 6)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l - 27 - 91 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6 - 9 + 2*b**2 + 3. Let z(h) = -7*h**2. Calculate z(w(d)).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 327*f - 3. Let n(s) = -333*s + 3. Give -6*n(d) - 5*z(d).\nAnswer: 363*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130424619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*(sqrt(117) + -1) + (-1*-2*sqrt(13) - (sqrt(1872) - 1*sqrt(1872)))))**2.\nAnswer: -1050*sqrt(13) + 16150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 874052909 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiz when three letters picked without replacement from {f: 2, x: 2, g: 4, k: 2, i: 2, z: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 9*f - 8. Suppose 0 = 5*d - 38 - 2. Let l be a(d). Suppose l = 5*s + 3*n - 28 - 10, 0 = s + 4*n + 6. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065068969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 0*y**2 - 41*y**3 + 8*y**3 - 5*y**3 - y**2 - 4*y**3 in the form w + t*y**2 + l*y + a*y**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100466823*-1\nAnswer: 100466823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -3. Let z = 3 + k. Suppose 3*x + j - 4 + 0 = 0, x = j - 4. Which is the closest to x? (a) -2 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, 37, 169, 427, 853?\n\"Answer: 7*l**3 - l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**2*x**2 + 525*q**2*x - 73*q*x**2 wrt x?\nAnswer: 6*q**2 - 146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534*c = 539*c - 20. Solve 0 = -2*g + c*u, 2*u - 9 = -5*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303930959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 35*q - 16. Let y(v) = 17*v - 8. Let p(u) = -2*r(u) + 5*y(u). Let b = 0 - -7. Is p(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/144*(-15)\/(-25).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138288159 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45348 + 1085?\nAnswer: 46433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Let t be 1\/((0 + 1)\/3). Solve -v*g - 2 = -t*h - g, 4*g + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + g**2 + 34 - 61.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:32 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118640383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*z - 2482, 5*a - 2*z - 10295 = 2149. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1890.16 + 1808.9. What is d rounded to the nearest integer?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 - 274. Let s(n) = -20*n**3 + 37 + a - 73 + 22*n. Let c(q) = q**3 - q + 1. Give -88*c(i) - 4*s(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14328 - 16835399\/1175. Let h = j - -78719\/7050. Let d = -1445\/232 + -84\/29. Find the common denominator of h and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 513879? (a) -0.5 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -248211, -496429, -744649, -992871, -1241095?\n\"Answer: -b**2 - 248215*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 4*c - 12*c**3 + 4*c**3 + 7*c as i*c**3 + y*c + j*c**2 + a and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.97 - -0.03. Let s = -6.2 - -6. Let i = -0.8 + s. What is the smallest value in l, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*d - 31 + 107 = 0, 0 = 4*d - 20. Let x = -14 - c. Suppose 0 = -j + 5*q + 1, 0 = x*j + q - 19. What is the greatest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/15 - -9 - (-1)\/5. Let s(g) be the first derivative of 0*g**4 + 5\/3*g**3 + 0*g**r + 0*g - 4\/5*g**5 + 13. Find the third derivative of s(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0 + 7 + 0*w**2 - 2*w**2 - 101*w + 106*w. Let d be s(-3). What is the greatest common factor of 68 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189847323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 4*w**2 - 6*w**2 - 17*w**2.\nAnswer: -19*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(2448) + 2 + sqrt(2448) + -1 - sqrt(2448) - sqrt(2448)) + -2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let q be a(3). Suppose q*d - 32 = -3*u, -2*u + 23 + 1 = 4*d. Let f(y) = -y - 2. What is f(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 254*w + 249. Calculate p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/862 and 35\/431?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 plus 1?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 363*q**5\/2 - 245619*q**4\/2 - 3596295*q**3\/2 - 4544205*q**2\/2 - 650844*q - 53898 = 0.\nAnswer: -13, -1, -2\/11, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3295287 and 11\/18307150.\nAnswer: 164764350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5607*-3.\nAnswer: 16821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21885.1 + -0.057?\nAnswer: 21885.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 1:55 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -40443644.\nAnswer: -5\/40443644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1015\/((-25)\/5)*-1. What is the greatest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151723348 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11015*v = 11036*v - 22024*v + 675 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744*v + 99 = 711*v. Sort 4, v, 165, -1, -4 in increasing order.\nAnswer: -4, v, -1, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -18.8. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68368, -273479, -615334, -1093933?\n\"Answer: -68372*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**3 + 2*b**3 + 2*b**3 + b**3 + b + 1 to the form n*b + h*b**3 + t*b**2 + u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -127*t - 9. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from fqqqqlllqqqqqfyy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(35)\/(sqrt(7) - sqrt(49)\/sqrt(112)) - ((sqrt(180) + sqrt(180)*-2 + sqrt(180) - sqrt(180)) + 0 - sqrt(180))**2).\nAnswer: -2160 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-170)\/(-8) + -1 + (-363)\/(-484). Solve -18*b + k*b - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*p - 2*p. Suppose w - p = -2. Suppose 2*h + w*h = 0. Is h != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1051 = -4*k, 4*k + 1741 = -5*h - 0*h. Let p = h + 659. Suppose p = 3*v - 107. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 1759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/147 + 19108\/(-3934)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = 2*n - n, n - 4*b - 6 = 0. Let v = 16 + n. Solve -2*y = -v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 148?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 10 + 3)*(-d + 0 + 0)*(2 + 3 - 3) + (2 - 2 - 1)*(0*d + 0*d + 3*d).\nAnswer: 81*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0830254986566 + -0.2?\nAnswer: -0.2830254986566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -34, -98.7, -0.1, -1\/2, 4\/9, -3, -0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738 is divided by 1523.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 12*x - 6*x + 6*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318362 is divided by 456.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 21*v = -4. What is the first derivative of -117 + 7 - 71 - 18 + 14*z**v - 38 wrt z?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5647369.\nAnswer: 7, 13, 229, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 25*a + 34. Give o(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8265754 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3762.979 days to seconds.\nAnswer: 325121385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**2 - 52*i**2 + 137*i**2.\nAnswer: 119*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-1*(-5)\/(-700)*-8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 771 - 295. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from pppavvaaavpap?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3970*b**3*y**3 - 18551*b**3*y**2 - b**3*y + 3*b**3 - 1831*b**2*y**3 - 5*y**2 wrt y?\nAnswer: -23820*b**3 - 10986*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2080 and 34112.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5 + 9, i = 5*f + 20. Suppose i = -3*b + v - 11, -4 = 4*b - 3*v + 9. What are the prime factors of 124 - (b - (-52)\/12)*0?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1424480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -71\/2*p**2 + 1\/2*p**3 + 4*p - 7. Find the first derivative of o(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3813892 is divided by 2437.\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m - 287. Let i be l(-42). Solve 6*z = -i + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 180 = 2*f - 84, 0 = -3*f - a + 431. List the prime factors of f.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2488, 2\/95, -1 in increasing order.\nAnswer: -1, 2\/95, 2488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - 9 + 9 + h to f*h + s and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.157, 4\/3?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56599261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 326025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 1390 (b) 1\/5 (c) -1\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogjpnxn. Give prob of sequence xg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, -5, -72, -207, -434, -777, -1260, -1907?\n\"Answer: -4*j**3 + 2*j**2 - j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46 - 930*p + 925*p + 111*p**2 + 12 wrt p.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 9 + 77. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 683, 881, 1079, 1277, 1475, 1673?\n\"Answer: 198*p + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (39 - (-38 + 55)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 - 8*h**2 - 2*h + 8. Let r(d) = 6*d**3 - 5*d**2 - d + 5. Suppose -26 = 94*g - 98*g - 3*p, 2*p = -5*g + 29. What is g*v(k) - 8*r(k)?\nAnswer: -3*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8877.\nAnswer: 1\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 10*l - 2. Let b(r) = r**2 + 11*r + 1. Let u(f) = 3*a(f) + 2*b(f). Factor u(s).\nAnswer: -4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 20. Calculate p(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226632.\nAnswer: 2, 3, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 12. Let h = -0.07 - -0.27. Which is the closest to k? (a) h (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2\/7, -1\/8, -0.0443, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-6) + 1\/(-3). Let v = u - 4. Suppose -2*f + 8 = -v*f. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n + 108. What is c(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/5 + 282*z**4\/5 - 2692*z**3\/5 + 1908*z**2 - 14202*z\/5 + 7074\/5 = 0?\nAnswer: 1, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1146463 rounded to two decimal places?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*p + 368, 65*u = 66*u - 3*p + 176. Let v = -147 - u. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/22 - (-4)\/(-22). Let o be (6\/u)\/2*0. Solve o*x + 4*x = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*c*g**2*r - 95*c*r**2 - 3*g**2*r + 9*g**2 + 69*g*r**2 - r**2 wrt c.\nAnswer: 60*g**2*r - 95*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69695, -557342, -1880875, -4458236, -8707367, -15046210, -23892707?\n\"Answer: -69657*q**3 - q**2 - 45*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-20)\/(-11 + 187\/22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 1487*p\/5 - 198.\nAnswer: -(p + 495)*(3*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 - -235.8. Let v = 0.8 - c. Let r be 8\/4 + 18\/(-10). Put 1\/56, v, r in increasing order.\nAnswer: v, 1\/56, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 2. Let u(a) = 26*a - 11. Let o(t) = 2*t**2 - t - 4. Suppose -22 = -4*z - 2*f - 3*f, 3*z + 3*f - 15 = 0. Let y be o(z). What is y*w(n) - 2*u(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19092 + 19155. Let o(r) = r**2 + 2*r - 3. Let t be o(-3). Suppose 0 = -t*k - k + 34. Calculate the remainder when c is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1*(-4)\/56*2). Suppose 3*d + 16 = w*d. Solve -q - 2*q - d = -n, 0 = -4*n + 4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119748 > 4119748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - l - 3. Suppose -2*v + 16 = 5*u, -7*v + 10 = -3*v - u. Let w be q(v). Suppose -x + w = 2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t + 12. Let v = -6 - t. Let i be (-4)\/(-6) - 4\/v. Which is the closest to 3? (a) i (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54158.262 - 6.66446.\nAnswer: 54151.59754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 179*h. Let o = -31 - -59. Let n be (-2 - -2) + o\/4. Is z(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 13.5308\nAnswer: 67.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.79.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -16*v**2 + v + 11. Let u(a) = -a**2 + a + 1. Let h(z) = 2*z**2 - 5*z - 3. Let c(i) = -h(i) - 5*u(i). Suppose 1 = g - 10. What is g*c(n) + 2*k(n)?\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 5, k: 13, s: 2}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-5)*6\/(-8). Let v = 15 + t. Which is the second biggest value? (a) -0.4 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -0.5 (b) -1 (c) 3 (d) -1\/30 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5530 (base 12) in base 11?\nAnswer: -7072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 3*f - 5. Suppose 41 - 13 = -4*h. List the prime factors of x(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 187*k**2 + 126*k - 2204. Is t(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4)\/5*13\/4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 45508284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 40?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 3, w: 1, j: 1}. What is prob of picking 1 j and 3 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46197 and 20532.\nAnswer: 184788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 78 = 204. What is the highest common divisor of k and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*m = 51628, 4*b - 232*m + 227*m - 103310 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((6\/8)\/(1\/(-2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f - 52*f + 13*f + (116*f - 242*f + 118*f)*(4 + 0 - 2) to the form j + v*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k. Suppose 0 = 8*s - 97 + 81. Let z(f) = -595*f + 595*f + 10*f**s. Calculate r(z(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13375399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -808a + 3?\nAnswer: -8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -518003 divided by 32?\nAnswer: -518003\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -673*b - 2678. Determine w(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*x - 53, 5*k + 97*x - 52*x + 14*x = -127 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-6) + (-20)\/30. Let v(c) = c + 1. Let l be v(y). Suppose -9 = -3*r - l. Is 2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644328088.\nAnswer: 2, 4547, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*((-15)\/(-15))\/((-9)\/72).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 383 (b) 7 (c) -34 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10675)\/(-70)*(-12)\/(-5).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323971 is divided by 776?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57834383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqoqqqqqqooq. Give prob of picking 1 o and 2 q.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 - 5\/2). Solve 0 = -6*t + t + z*h - 15, -4*t - 12 = -h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1, -2, 2 in decreasing order.\nAnswer: 101, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 663691237*m**4 + 239753800*m**2 wrt m?\nAnswer: 15928589688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9294.556 tonnes?\nAnswer: 9294556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 10*r**2 - 5*r + 11. Let k(m) = -m**2 + 1. Let q(h) = 5*k(h) - y(h). Let g be q(-11). Let b = -294 - g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 3, o: 6, f: 3}. What is prob of picking 3 i and 1 s?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 13, -1, 12 in descending order.\nAnswer: 13, 12, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*k**2 + 6\/5*k + 2\/5*k**3 + 2\/5*k**4.\nAnswer: 2*k*(k - 1)**2*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/7 + 3057*t**3\/7 - 324333*t**2\/7 - 23963445*t\/7 - 351997650\/7 = 0. What is t?\nAnswer: -1110, -27, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 + 4*a - 7. Suppose 2*v = 0, 2*v - 6 = n - 3*v. Let t be b(n). Suppose -2*i - 3*s = -t, -4*s = i - 2*s - 221. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = 2*f - 90. Solve 4*d = 4*z, -f = -d - 3*z + z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, w: 1, y: 1, r: 1}. Give prob of sequence iw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 571717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11\/2)\/1*2. Calculate the greatest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - -12221001122?\nAnswer: 12220222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + g + 3*g + 2 = 0, -3*v + 4*g = -38. Factor -4*i**4 + 2*i**4 + v*i**3 + 20 - 20.\nAnswer: -2*i**3*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 + 1. Let f be m(1). Sort 0, 3, f in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 6*k - 5*k + 4*l + 118, -13*k - 554 = 4*l + 213 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 26 - 882 + 808 + 48.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (10 + -1) - ((14 - (12 - 7)) + 9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-44) + (-163)\/11. Let q = u + 24. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 722 and 741?\nAnswer: 28158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 41*v**2 + 267*v - 265. What is g(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 minus -0.29721?\nAnswer: -67.70279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {h: 1, x: 2, y: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaaauauuuau. Give prob of picking 2 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 2 t when four letters picked without replacement from tctbgtct?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31657 or 90.18?\nAnswer: 90.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5551 and 41\/62342.\nAnswer: 810446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 2*u + 49 + 56 - 160 - 32*u**3 + 53 as v*u + k + y*u**2 + h*u**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 3. Let x be u(3). Suppose -5*k + 20 = 2*r - 11, 0 = 2*k - 10. Solve x*a = h + a - 20, -12 = r*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809842630.\nAnswer: 2, 5, 2089, 38767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**5 + 40*z**4 + 50*z**3 - 40*z**2 - 45*z = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/585 and 2 + (3 + 18)\/84 + (-2138)\/1040?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36466561337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -98*m - 3836. Calculate f(-39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 31 + -16 + -38.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2\/4 - 361167*l\/4 - 3972111\/2 = 0. Calculate l.\nAnswer: -120367, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1079 (base 11) to base 16.\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + -4*sqrt(85)\/sqrt(5) + sqrt(17) + sqrt(170)\/sqrt(10) + 5 + ((-5*sqrt(153))**2 - sqrt(170)\/(sqrt(10) + sqrt(640) - sqrt(10))).\nAnswer: -sqrt(17)\/8 + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7*d**2 + 3*d + 5. Determine y(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5052115?\nAnswer: 5, 1010423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/3)\/x*x**2*(x\/(x*x\/(x\/(x\/(x\/(x\/x**(-8)))))))\/x**(-1\/11) assuming x is positive.\nAnswer: x**(-239\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174276 and 613674.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3471 + -1481. Suppose 0 = -2*g + 2*o + a, g - 5*g + 3984 = -2*o. List the prime factors of g.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a + 750 - 222 + 480 = 0. Suppose -q = 3*q - 112. What is the remainder when q is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662371035.\nAnswer: 3, 5, 5749, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 592126886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 2. Let l(c) = 12*c + 28. Let t(s) = -2*l(s) + 28*m(s). Let b(q) = 2*q. Let g(j) = j + 3. Let h be g(-6). Determine h*t(p) + 5*b(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.179 times 5\nAnswer: 0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 92084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 + -155. Is 16626\/136 - (l\/4)\/3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309485 is divided by 28120.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.5 and -53396.\nAnswer: -1254806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 2*d - 25, 3*t - d + 4 = 0. Let a be (-12)\/9*t\/(-26). Let i(h) = -h**3 + 2*h**2 + 5. Let y be i(3). Put a, 0, y in ascending order.\nAnswer: y, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212121212 - 2?\nAnswer: 212121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000613060512 to 5 dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5*p - 4)*(-1 - p + p - 3*p) to the form j + i*p**2 + d*p and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8291 = -3*d, 4*f - 9*f = 5*d - 13760. Factor -d*b + 2757*b - b**3 - b**4 + 14*b**3.\nAnswer: -b**3*(b - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2055582492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7309060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 125646*r**2 + 879375*r.\nAnswer: 3*r*(r + 7)*(r + 41875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1 = -5. Let x(f) = 21*f + s - 3*f**2 - 22*f + 2*f**2. What is x(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 3, y: 1}. Give prob of picking 1 y and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 18655*y + 18660.\nAnswer: -5*(y - 1)*(y + 3732)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -2*u - p, -3*p - 66 = 4*u - 3*u. Let i(y) = y**2 - y - 68. Let k be i(0). Let r = u - k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -30 + 14\/15*r**3 - 4\/5*r - r**2. Solve c(h) = 0 for h.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-296)\/222)\/(1\/3)*(-8)\/(-20)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.52. What is the fourth smallest value in -1, -0.3, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-2)\/sqrt(5).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let d be ((-6)\/5)\/(12\/(-40)). Let x(b) = -4 + b + d*b + 4. Calculate x(n(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 divided by 28?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6395495?\nAnswer: 5, 19, 23, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1789\/56 - 33. What is the common denominator of u and -32\/49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -964*s**2*u + 15*s*u + 17*u + 3 wrt s.\nAnswer: -1928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12) - 1\/36*387?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - l + 5)*(1 + 11107*l - 7 - 11097*l) to d + z*l + i*l**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8*1\/104. Let i be (2\/(-15))\/((-1664)\/235070). Let h = b - i. Find the common denominator of h and -71\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1503 + 1?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y. Let k = 14 + -9. Suppose -3*r = -k*t + 16, -5*r + 0*r = -3*t + 16. Let f(q) = 135*q. Let u(n) = t*f(n) - 55*b(n). What is u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Suppose 5 = b*a - 4*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlmnl. What is prob of picking 1 m and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-130))\/(17\/((-34)\/(-1)))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 3*a**3 + 0*a + 8*a + 11*a**3. Let i(c) = 3*c**3 + 3*c. Let x(p) = -5*g(p) + 14*i(p). Find the second derivative of x(h) wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + a + 2*a - 5 + 5 + (0 - 2 + 3)*(0*a - 4*a + 6*a) - a + a - 2*a - 146*a + 110*a - 164*a.\nAnswer: -197*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2363*t - 2353*t = -4734*t - 72 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*d + d + 75, -3*a - d + 57 = 0. Let l(m) = -m - 84. Let y be l(0). Let p = y - -137. What is the remainder when p is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -29*h - 81. Let r(t) = -42*t - 122. Let a(z) = -7*r(z) + 10*v(z). Determine a(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 498\/43 and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 3*h + 3. Determine f(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327594?\nAnswer: 2, 3, 71, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 0.03 (c) 1\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54534856.\nAnswer: 2, 179, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -7\/2, -3, -49\/27, 2 in ascending order.\nAnswer: -7\/2, -3, -49\/27, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 + 159*w**3 + 564*w**2 + w - 2632678.\nAnswer: -40*w**3 + 954*w + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66099, 132287, 198475, 264663, 330851, 397039?\n\"Answer: 66188*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-20)*(-410)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 + 40845*g**2\/2 + 58064592*g - 80919798144.\nAnswer: 3*(g - 1009)*(g + 7312)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 46*r**2 + 95*r + 13. What is p(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85243, 340977, 767199, 1363909, 2131107, 3068793, 4176967?\n\"Answer: 85244*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*l + (-3*l + 0*l + l)*(4 + 4 - 6) + 662 - 662 + 11*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -800139, -4, 0.1, -0.4, 0.13 in descending order.\nAnswer: 0.13, 0.1, -0.4, -4, -800139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153801?\nAnswer: 3, 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-100))\/(6\/10) - (-98)\/(-5). Which is smaller: -131 or j?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0, -39318, -2, -5 in decreasing order.\nAnswer: 0, -1\/4, -2, -5, -39318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -543584, 2, 0 in decreasing order.\nAnswer: 2, 0, -543584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/270 and -119\/840180.\nAnswer: 7561620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 24 + -9 + 8 + -114 + 8?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:27 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = -4*t, -2*x - t + 55 = 24. Solve 33*l - 45 = -x*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*o - 185728 - 61140 = 111800. List the prime factors of o.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvoofddoovdbxdbvoo. Give prob of sequence df.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2320682 by -13.\nAnswer: -178514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -945631535 and -0.2.\nAnswer: -945631535.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7232913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2, 3*w - 131*u + 130*u - 131 = 0. What is the remainder when 3351 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viadiiaaaik. Give prob of picking 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 71*g - 66*g = 1, -8*p - 3*g = -35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*g + 51. Suppose g*c + 4*u = 52 + 164, 3*c = 4*u + 155. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4470)\/(-18) + 6 + 4\/6. Let c be ((-8)\/(-10) - 0)*20. Let t be -25*c*w\/6. Round t to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 6732125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q + 2 - 45*q**2 - 2 + 82*q.\nAnswer: -45*q**2 - 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 1215 + 1452. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 142, -2, 41 in decreasing order.\nAnswer: 142, 41, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.13 (b) -1\/3 (c) -1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.33 + -0.36. Let z = s - -0.82. Which is the smallest value? (a) z (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 + 3*l**2 + 1. Suppose 1906 = -8*j + 1914. Let k(g) = g**3 + g**2 + g. Give j*u(m) - 3*k(m).\nAnswer: 2*m**3 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/10 + 353*m\/5.\nAnswer: -m*(m - 706)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34467091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1284))\/((-310)\/1860).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 9*j**3 - 10*j**3 - 729*j**2 - 9*j**3 + 31*j**3 + 729*j**2.\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 177 + 16*t + 365 + 8*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1046061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13 - 8*l - 5 - 7 - l**2. What is the tens digit of i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 1, o: 3, x: 1, v: 5, p: 2}. Give prob of sequence oxk.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7876893 divided by -271617.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1427312 centimeters in meters?\nAnswer: 0.001427312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/126 and -103\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (59 - 79) - 401\/15\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:15 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/18)\/(5*((-22)\/55)\/2)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Suppose s = -8*k + 7*k - 4. Let p(m) = m**2 + 4*m - 3. Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734901074 to the power of 1\/3, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -0.1, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 14837 = p, 4*p + 53*j - 59284 = 57*j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-10 - (-17 - (-36 - -17)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 - f**2 + 2*f + 2. Let r be h(2). Let c be (-45)\/3*10\/r. Let q(z) = 12*z + 1. Let i be q(1). Solve -4*p - 5*o - i = -p, o = -c*p + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3681507 and 4683.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(11) + 4 - -4*sqrt(11)*2)*4.\nAnswer: 7 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 623 - 623. Let i be (3\/(-9))\/((-1)\/15). Put y, -2, i in descending order.\nAnswer: i, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3270727449.\nAnswer: 3, 11, 953, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200 - -51 - -64)\/(10\/4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5411648 millennia?\nAnswer: 6493.9776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 327833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15824 by -23.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q. Let l(t) be the first derivative of 23*t**2\/2 + 237. What is l(s(o))?\nAnswer: -138*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -8892522?\nAnswer: -13\/4446261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 149 = 41. Let x = -11 - t. Calculate the least common multiple of x and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10055 - 10240 + 14*x**2 - 4*x**2 in the form l*x**2 + v*x + z and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 14*y**2 - 5*y - 71. Let x be w(-14). Let r = -16 + 10. Put x, -4, r in decreasing order.\nAnswer: x, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -2\/9, -3, 3\/4, 2\/7, 0.044, 272?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7 and -97\/41958?\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/12 - x**3\/6 + x**2\/2 - x. Let i(j) = -6*j**2 - 8*j + 8. Let r(s) = 8*d(s) - i(s). Let b(w) = -2*w. Determine b(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 - h**2. Let n be a(1). Let f = -5 + n. Suppose -3*u = -2*j + 59, f = -3*j + j - 3*u + 53. Solve -j = 4*d + d + x, 0 = -2*d - x - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 66 = -3*i + 4*i, c = -4*i + 35. Calculate the remainder when c is divided by (4 - (0 + 2))*6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.95311 and 0.1.\nAnswer: -1.85311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 0.149 (b) -0.1 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1164*f + 3492. Give d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 12*c - 12. List the prime factors of h(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -2 (c) 0.1 (d) 2240\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 2. Let l(j) = 46*j - 30. Let c = 4 - -2. Let n(s) = -2*s**2 + 16*s - 22. Let d be n(c). Let b(f) = d*x(f) + l(f). Differentiate b(p) wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/356 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsppspppspspssp. What is prob of sequence sp?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101+12.1\nAnswer: -88.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r + 35. Let u be d(4). What is the units digit of 2*(u - (-1005)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1362\/227*1\/18*-69.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -144. Suppose a - 42 = t. What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14))\/((-16)\/112).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j - 107. What is b(-25)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*i = 779 - 868, -23 = -3*g + i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -829\/14 + 119\/2. What is the nearest to 1 in -1\/5, 4\/3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 62*s - 95. Is 25 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -5 (c) -141\/56 (d) 5 (e) -1 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*s + 4*x - 688, 2*s + 3*x = -369. Let m = -89 - s. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5963 and 13725888.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = 38. Suppose -k*b = -5*b. Is b greater than or equal to 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2441653566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/4 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 885315*u**2 - 1207063*u wrt u?\nAnswer: 1770630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p + 0*p)*(4*p**2 + 4*p**2 - 3*p**2) - 2*p**3 - 5*p**3 + 4*p**3 + (-4*p + 4*p + p**2)*(-2 + 2*p + 2) as d*p**2 + w + j*p + m*p**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 416 - 415.763. Let c = -3.393 - -4.84. Let x = j - c. What is x rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 + 2 = 0. Differentiate 3 + x*k + 7 + 4 - 3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10441102 - 2?\nAnswer: -10441104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/5 + 282*w**4\/5 + 1358*w**3\/5 - 306*w**2\/5 - 920*w + 3264\/5 = 0. Calculate w.\nAnswer: -136, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*z = -1160, -3*q + 8*q - 2905 = 4*z. What is the highest common divisor of 45 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 1. Let f = -8 - -10. Let l(h) = -h**3 + 4*h + 1. Determine f*l(y) + 3*k(y).\nAnswer: -2*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.028 - -28. Suppose 25 = -5*i, 4*n + 93 - 89 = -4*i. What is the nearest to -0.1 in -2\/13, k, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722237 is divided by 9503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 1. Let j be o(1). Suppose -4*n = 12, 3*y + j = 5*n + 12. Which is smaller: y or -3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/114829 in -5\/2, 27, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -3)*(-32)\/(-24). Which is the closest to 2? (a) 3 (b) -0.08 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 463.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 2. Let o(t) = t + 11. Let z(h) = -1. Let w(c) = o(c) + 4*z(c). Determine w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/18*(-6)\/(-20). Let r = 0 + 0.2. Let p = 0.44 + -0.94. What is the third smallest value in v, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.2. What is the nearest to 0.2 in -2, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 + -136. Suppose -2*q = 2*f - g, -2*q - f - 89 + 267 = 0. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, 117, -4, 3, -1.\nAnswer: -4, -1, 3, 5, 13, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**5 + 4*y + 10*y**2 + 3*y**5 + 6*y**3 + 0*y**5 - 2*y**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -555?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2037 - -2037.15666. Let r = p + -0.05225. Let m = r + -0.104. Round m to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2678\/8 - 21\/(1428\/(-85)). Solve -43*l = 5*l + h for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m + 0*m**4 + 1\/20*m**5 - 2\/3*m**3 - 1\/120*m**6 + 2 + 39*m**2. Factor p(v).\nAnswer: -(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822793 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2.34304386123.\nAnswer: -2.44304386123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, -2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 2*w)*(0 + 1903*w - 5 - 136*w + 6)*(2*w**2 - 2*w**2 + 2*w**2).\nAnswer: -3534*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -74278 bigger than -74278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 0.1, -3\/4, 15, -1097, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 20 - 56)*(i + 0*i + 0*i).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88800 = 28*l - 12*l. Calculate the remainder when 142 is divided by ((-2)\/(-3))\/(50\/l).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9721 + -9706. Solve 5*i - 14*x - 25 = -g*x, 0 = -2*x + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432\/7 - 72\/7*k + 3\/7*k**2.\nAnswer: 3*(k - 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.99. Let r be 4 + ((-24)\/54)\/((-2)\/(-9)). Which is the closest to -2\/5? (a) u (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 1 - 6*v + 4*v**2 - 3*v + 34*v**2 - 1 as t*v**2 + l + c*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*p**2 + 0*p**2 - 23*p**2 to the form u + l*p**2 + s*p and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207368640 by 648027.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 152, 505, 1176, 2267, 3880?\n\"Answer: 17*j**3 + 6*j**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 u when four letters picked without replacement from {u: 6, r: 7, c: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2537099 or 2537098?\nAnswer: 2537099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 683 or 684?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-6) + (-8)\/(-12))*(-119)\/(-238).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 13*t - 1. Let l(k) = 79*k**2 + 50*k - 4. Give 3*a(r) - l(r).\nAnswer: -88*r**2 - 11*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 - 4 - 3*b**2 to the form t*b**2 + p*b + f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7443 divided by -623?\nAnswer: -7443\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5960*c**3 + 2*c - 6008*c**3 + 11941*c**3 - 2*c.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 14, g: 1}. Give prob of sequence egi.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 253 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/((-1000)\/(-1050))*530\/105\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12*i - 30. Suppose 0*a + 14 = 2*o - i*a, o - 4*a = 16. What is the third derivative of 7*l**2 + 25*l**3 + 4*l**2 + 6*l**2 - o*l**3 wrt l?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 3206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 3. Let v(l) = 5*l + 2. Give -6*m(o) - 7*v(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1041 >= -1032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + 0.12. What is the third smallest value in -1, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4695027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-5)\/6 - (0 + -2). What is the nearest to -2\/5 in -3\/2, 0.4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2795 = 9*c - 2886 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23248.35us to hours.\nAnswer: 0.000006457875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 9*i + 108. What is z(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*c + 45, 30 + 21 = 4*c - a. Suppose -3*n + 0*n = c. Let h = -4.3 + 4. What is the biggest value in h, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20613 = 5*q - k - 55944, -14135 = -2*q + 3*k. List the prime factors of q.\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 11*x - 11. Let q(f) = 2*f**2 + 5 + 9*f - f**3 + 6 + 3 - x. What is the units digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:20 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 3. Let c be v(0). Let h(a) = -a**2 - 1. What is h(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-90)*2\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22475675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4*b - 2*b**2 - 1 + 0*b + b**3. Let t be u(-1). Let j be -1 - 2 - (t - -2). Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p. Let v be 22\/(-4) - (10 - 4)\/(-12). Let f(i) = -6*i**2. Let s(g) = -7*g**2. Let t(k) = v*f(k) + 4*s(k). Determine t(a(q)).\nAnswer: 392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000100 (base 2) in base 11?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66, 135, 204, 273, 342, 411?\n\"Answer: 69*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848000781 to the power of 1\/2, to the nearest integer?\nAnswer: 69628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0764 and 0.4.\nAnswer: 0.03056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 2}. What is prob of sequence ffp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4956, -19293, -42998, -76071, -118512?\nAnswer: -170321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.027 - 4.973. Let d = -0.05 + -4.55. Let s = z - d. Which is the third biggest value? (a) s (b) 0 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(147) - 2*(sqrt(147)*-2 + sqrt(147)))\/sqrt(3))\/(((sqrt(392) + -2*sqrt(392))\/sqrt(7))\/(sqrt(72)*-1)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1332597817 and 14376.\nAnswer: 1332612193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2 + 22. Let r be (m - 5)\/((-2)\/(-6)). Suppose 0 = 2*k + k - r. Solve s - k = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/11 - 546*k\/11 + 545\/11 = 0. Calculate k.\nAnswer: 1, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/2 + 2*a**2 + 2*a. Let x be (-2)\/3 - (-34)\/6. Let o(v) = 0*v - 1 + 0 - v + 2*v. Calculate x*o(s) + y(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 38*f**3 + 2 - 25*f**3 + 2*f + 19*f**3 - 2*f**2 as n*f**3 + i + h*f + l*f**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3018*t - 4151*t - 4823*t - 1564*t as u*t + o and give u.\nAnswer: -7520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9418 smaller than 2.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((65\/(-5) - -12) + 0)*44.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 87*c**2\/5 - 123*c\/5 + 36\/5 = 0.\nAnswer: 12\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310868243 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 525 = 0. Let w be (-1)\/(-5) + 69\/h. Find s such that 2\/7*s**3 + 4\/7*s + 0 + w*s**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848101 is divided by 106.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -46595 and -115.18.\nAnswer: -46710.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/3 - 41\/15. Let f = 0.76 + 0.14. Let l = 1 - f. Sort t, 2\/15, l in decreasing order.\nAnswer: 2\/15, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066333693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -45\/4 (b) 101 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1800) + 0)**2 - (sqrt(1800) + (sqrt(1800)*-2)**2 + -1).\nAnswer: -5399 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 3*g + 10, -2 = g. Suppose i - 17 = -0*i - j*t, 4*i + 37 = 5*t. Sort i, -1, 2 in descending order.\nAnswer: 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-66)*(-5)\/(325\/(-39)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-84))\/(((-999)\/(-6216))\/((-12)\/(-7)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a + 729*a - 24716 + 12215 - 40891 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**3 + 8*u**3 + 2*u - u. Let f(c) = -10*c**3 - c**2 - 5*c. Calculate 2*f(b) + 11*m(b).\nAnswer: 2*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -48637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.06 - 2.059645. Round s to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:43 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*-28*(-50)\/(-35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71a00 (base 16) to base 4\nAnswer: 1301220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7831 (base 10) to base 14.\nAnswer: 2bd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 9. Calculate the common denominator of 3\/(-6)*m + -27 and 109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2544.\nAnswer: -1\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-268)\/2211)\/(4\/(-6))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2\/13, -1\/10, -2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k - 105. What is the tens digit of a(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 17 = w. What is the units digit of (-1 - (-351)\/w)\/((-6)\/(-105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19428 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {h: 1, m: 1, t: 1, a: 2, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epdppdpueqpeupfdppdd. What is prob of sequence fpd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g. Let o(n) = 5*n**2 + 30*n - 2. Let t(a) = 16*a**2 + 95*a - 7. Let i(h) = 19*o(h) - 6*t(h). Give s(i(b)).\nAnswer: 4*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35681\/690 + 13\/69. Let n = 115\/2 - x. Let p = -1217\/2 - -44999\/74. Calculate the common denominator of n and p.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49\/15 + -8\/5. What is the second biggest value in 0, r, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*k - z - 11*z + 11 + 13, -24 = 2*z - 28 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 25 - 3. Let l be (-10)\/m + (-3)\/6 - 1. Let g(d) = d - 5. Let h be g(5). What is the second biggest value in l, -1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*r + 643*r + 4540 - 1409*r.\nAnswer: -3*r + 4540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 12:06 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 14*f**2 - 58*f - 907. Determine w(-12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 3*l + 3*l + 4*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i + 87*i - 690 + 258 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -50 - (-24 - -20 - (1 + -2 + -2))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x - 1. What is i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) 2 (d) 0.3 (e) -0.06353 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3468*f + 7383 = -1173*f + 5957*f - 322697 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 72.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -v + 26, 5*v = 2*y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*k + 16 = -k, -4*o = -2*k + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 - 2*s - 26. Let p be 1 + -11 - (-3 + 2). What are the prime factors of j(p)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/18038 and -48\/319.\nAnswer: 198418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 3\/((-24)\/(-7)). Let h(c) = c**2 + 3*c - 5. Let d be h(-5). Let f be (-17)\/(-5) + (-2)\/d. What is the closest to 2\/7 in 1, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10.004. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*u = 1361, -11*q + 4*u - 686 = -12*q. What are the prime factors of q?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p, 4*t - 3*p - 62 = -p. Let z be t\/10*20\/(-6). Calculate the lowest common multiple of ((-4)\/z)\/(1\/5) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5555 and 5.\nAnswer: -27775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230931306 divided by 9?\nAnswer: 25659034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j)*(-j - 1 + 3*j - 4*j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than or equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154\/72839 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710136.\nAnswer: 2, 3, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32675, 130661, 293971, 522605, 816563, 1175845?\nAnswer: 1600451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 8*s + 14. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let d(a) = -86*a - 80*a + 166*a + 2*a**2. What is d(f(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769945935.\nAnswer: 3, 5, 11, 197, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 1\/2*w**2 + 3\/2*w - 5 + 1\/18*w**3. Factor o(l).\nAnswer: (l + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2468*i**3 - 2*i**2 - 1. Let q(m) = -2466*m**3 + m**2 + 1. Determine 3*q(h) + 2*x(h).\nAnswer: -2462*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -4) - (-48 - -45) - -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 12, 44, 96, 174?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -15, 1, -2 in ascending order.\nAnswer: -15, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33000*j**6 - 5805*j**2 wrt j?\nAnswer: -3960000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -1\/2*q**2 - 2 + 16*q. Does 8 divide t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998196 and 386?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*(-4 + 7)*14. Find the common denominator of (-722)\/42 - (-480)\/w and 13\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 + 94 + 93 - 398 + 75*k**2 + 86 to i*k**2 + q*k + u and give i.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 238*h + 1038. Does 31 divide b(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 17045 = 4*b, b + 3142 + 6575 = 4*k. Calculate the lowest common multiple of 1122 and k.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3015\/6)\/15*254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 13. Suppose 3*s + 2 - 14 = n. Suppose -18 = -s*v + v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - -0.11. Suppose 12 = -26*s - 92. What is the closest to v in 1, s, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.082*5\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 30, 19 in ascending order.\nAnswer: -11, 19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:56 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 106 - 5*c**3 + (-1 - 6 - 3)*(-2*c**3 - c**3 + 0*c**3) to the form l*c + i*c**2 + m + a*c**3 and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113027793 to the power of 1\/2, to the nearest integer?\nAnswer: 33362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*l = 0, 4*l = z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:30 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (97*m**3 + 641 - 641)*(-3*m + 0*m + 2*m) + 36*m**4 - 6 + 6 in the form w*m**3 + h*m**4 + b + i*m + d*m**2 and give h.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + -7 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002697256 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*g**3 - 5*g**3 + 7*g**2 - 2 + 7*g - 11*g**2 to y*g**2 + m*g + h*g**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 196 + 46 = 0. Suppose -8*r + 13*r = z. Sort -17, 4, r in decreasing order.\nAnswer: 4, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 57*q**2 + 214*q - 7. What is n(-53)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-9 + 16 + -1 - 27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + (2 - (-510 + 0 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5622631580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(4\/9))\/o)\/((((o*o**14\/o)\/o*o)\/o)\/o))**21 assuming o is positive.\nAnswer: o**(-728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 + -2.47509487.\nAnswer: 39.52490513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*a**2 - 23 + 22 - 23*a**2 + 59*a**4 - 27*a**2 + 2*a to the form v*a**3 + j*a + d*a**2 + i*a**4 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 501, 856, 1211, 1566, 1921?\n\"Answer: 355*o + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:58 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (82\/16 - 1) + (-2)\/16. Let m(t) = -p*t**2 - 12*t**2 - 19*t**2 - 4*t**2. Let z(h) = h**2. Determine z(m(o)).\nAnswer: 1521*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 2. Let s(c) = 9*c + 5. Let l(k) = -3*s(k) + 7*v(k). Let a be l(5). Solve a*j**4 - 4*j**2 - j - j + 3*j**5 - j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 1, -491 in increasing order.\nAnswer: -491, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 7*h**6\/360 + 7*h**3\/6 - 4*h**2. Let c(g) be the first derivative of y(g). Let n(x) = 0*x**2 - 5*x**2 + 4*x**2. Give n(c(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 5 = 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3759865, 7519724, 11279583, 15039442, 18799301, 22559160?\nAnswer: 26319019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 111 + 153. Suppose 12*b = n + 231. Let m = b + -21. What is the closest to -2\/3 in 2, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 6:47 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6d8c8 (base 15) to base 12\nAnswer: 14a3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*y - 3 = -5*k, -4*k - y + 4 = 0. Let n(q) = 12*q**2 - 2*q + 1. Let u be n(k). Solve u - 3 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2704 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 344040 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((2178\/(-66))\/660).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - y - 8*y + 10 - 2*y to j + t*y and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3660 = 5*j + 3702, 0 = -4*j - 2*i - 36 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 27 + 78)*(-2*z**3 + 2*z**3 + 5*z**3 + 4 - 4 - 2*z**3 + (6*z - 3*z - 4*z)*(3*z**2 + z**2 - 3*z**2) + 6*z - 6*z + 8*z**3).\nAnswer: 690*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p**(-1\/8))\/(p\/p**(-19))**44 assuming p is positive.\nAnswer: p**(-21109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 10820228?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15046 is divided by 142.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -306.406 - 42.\nAnswer: -348.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/18664137 and 109\/18.\nAnswer: 37328274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.02613 rounded to two decimal places?\nAnswer: -111.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**7*u**1*u*u**(-4)\/u assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r*r**9*r))**(12\/7) assuming r is positive.\nAnswer: r**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.62 - -0.643. Let g = -126.057 + 124.4. Let c = g - w. Round c to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.5 (b) -0.172 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1950, -3875, -5798, -7719?\nAnswer: -9638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p. Let d(o) be the first derivative of o**4\/12 + o**2 + 1. Let n(l) be the second derivative of d(l). What is i(n(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450399*d**3 + 300635*d.\nAnswer: 2702394*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:48 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30016, -30013, -30000, -29971, -29920?\n\"Answer: d**3 - d**2 - d - 30015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:15 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2910 + -2823. Calculate the highest common divisor of 203 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146370 divided by -6\nAnswer: -24395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -133055 + -3133?\nAnswer: -136210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*12\/60*(0 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136580, 272856, 409132, 545408, 681684?\n\"Answer: 136276*x + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 231 = 3*y, -4*i + 227 = -i + y. Calculate the remainder when i is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.27492.\nAnswer: 4.94856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*f + 310*f = 26*f + 8262 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c00ca (base 13) in base 12?\nAnswer: -1298307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-16)\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u. Let n be 1 - -4 - 2 - u. Suppose -n + 35 = 4*p. What is the remainder when 21 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8*q + 9544 - 9728 = 0, 6*r - 5*q = -115 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7446744, 14893507, 22340278, 29787051, 37233820, 44680579?\nAnswer: 52127322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15857322 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {o: 2, w: 3, d: 4, u: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**2 + 246*s**2 + 282*s**2 - 90*s**2 - 12*s**2.\nAnswer: 507*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -179, -285?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, t: 3, h: 5, z: 6}. What is prob of sequence ztzh?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 11:20 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 6. Let m(f) = 4*f + 8. Let w(d) = -6*m(d) - 8*x(d). Let b(s) = -3*s. Let u = 74 - 52. Determine u*b(v) + 4*w(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*(5 + 3 + -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - r = -65. Suppose -5*l + v - 3 = 0, -15*v + 18*v = r*l + 9. Which is the nearest to l? (a) 2 (b) -0.1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 5*m - 87 = -4*d, -29 = 6*d - 9*d - d + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7213*r - 4*d = -7219*r - 4, -2 = 5*r - 4*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(3*u**2 - 18 - u - 18 + 45).\nAnswer: 3*u**3 - u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 1. Let l be a(1). Suppose -z = -2*z + l. Suppose 0*w + z*w - 5*y - 68 = 0, -y = 0. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 5*w + 19. Let b = 135 + -142. Let k be n(b). What is the second derivative of 23*p - 66*p - k*p**5 + 3*p**5 - 6*p**5 wrt p?\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1570 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28912504 a multiple of 1864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(17) + 1)**2 + -4)*2 - sqrt(1700)*2*-5).\nAnswer: -312*sqrt(17) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1144 - -26?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlzepll. What is prob of picking 1 z and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 5*p + 4. Let w be z(5). Let b(x) = -x**3 + 2*x**2 + 4*x - 1. Let y be b(3). Suppose -c - y + 3 = 0. Put c, -3, w in decreasing order.\nAnswer: w, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441 + 258. Let v = -184.07 - h. Let d = -1.06883 - v. Round d to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.001997.\nAnswer: 0.0001997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 2*k + 3. Let g be (-39)\/((30\/(-4))\/5). Suppose g - 10 = 4*h. Suppose h*i = 3*i + 2. Let j(p) = -2*p**2 + 3*p - 4. What is i*j(m) + 3*a(m)?\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173677?\nAnswer: 37, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 594657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 9, -2\/53, -0.2, 1.6, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -293, -711, -1419, -2417, -3705?\n\"Answer: -145*p**2 + 17*p - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*n**2*p**2 - n**2*p + n*p + 3115*p**2 + 24240*p wrt p?\nAnswer: -30*n**2 + 6230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1 + 6\/(-9)). Suppose -5*s + 15 = -b*u - 0*s, -4*u = -5*s + 11. Let n(k) = -k**3 - 3*k**2 + 4*k - 2. Give n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -179*g - 5012. What is y(-22)?\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let u(t) = -123*t**2 + 6*t + 8. Give u(c(b)).\nAnswer: -492*b**4 - 12*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -0*u - 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426501 = 91*r - 119194. What is r rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2448) + 0 + sqrt(2448)) + 2)*4.\nAnswer: 8 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8.1 (b) 3 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -26*u**5\/7 + 61884*u**4\/7 - 625278*u**3\/7 - 954524*u**2\/7 + 4228344*u\/7 - 625680\/7 = 0.\nAnswer: -3, 2\/13, 2, 11, 2370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 5. Let n(j) = 1. Calculate -3*n(p) + q(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 1. Let x be (-8)\/(-24) - 2\/(-3). Let j(z) = 3*z**2 + 3*z - 13. Let g(n) = x*j(n) + 5*t(n). Factor g(p).\nAnswer: -2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*p**2*s - 26*m*p**2 - 5*m*p - 4*m + 5*p**3 + p**2*s - 19*p*s wrt p?\nAnswer: -4*m*s - 52*m + 30*p + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-1560)\/70)\/(-13))\/(1\/14). Let z be ((-17)\/(340\/w))\/(6\/(-260500)). What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13863409 to the nearest integer?\nAnswer: 3723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 0, 38, 2 in decreasing order.\nAnswer: 38, 9, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-12))\/((-3)\/(-60)). Solve -6*s = -5*a - 4*s + 5, 4*a - q*s = -13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 473 - 473.43. Let y = 0.03 + s. Sort -0.3, 1\/5, y in descending order.\nAnswer: 1\/5, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 225*m + 3621. What is r(29)?\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 18 - 8)*(1 + 4 - 3)*(-15 + 0 - 1)*(2*p + p - 2*p) - 4*p + 6*p + p as q*p + f and give q.\nAnswer: 1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:54 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 409054 less than 409054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75\/40 - 8142\/2576\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002738 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 10, y: 6}. Give prob of sequence yrny.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*n)*(0 + 3 - 2)*(4 - 5 + 3).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 5 = 16*s. Suppose 10 = 4*y - 6. Put s, y, -4 in decreasing order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*c + 270 = -0*c, 4*c + 418 = 5*r. Let p = r - 220. Let j = p - -269. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 19. Let z be s(9). Solve 0 = -f - 5*a - 7 - 5, -z = 4*f + a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k + 28*k**2 - 12*k**3 - 8*k - 28*k**2 in the form f*k**3 + o*k**2 + d + p*k and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = -42. Suppose -5*o = -3*o - r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537c3 (base 15) to base 7.\nAnswer: 2152422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g - 106*g + 119 + 154 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 - 2*y. Let g be z(2). Suppose -3*c = c + 304. Let x = c - -136. Calculate the highest common factor of g and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22329, -44907, -67485, -90063, -112641?\nAnswer: -135219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}