diff --git "a/data/dm_maths/full_data/122_11255.jsonl" "b/data/dm_maths/full_data/122_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/122_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(h) = h**3 + 3*h**2 - 2*h + 8. Let q be t(-4). Let n(z) = z + 12. Give n(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*v - 3, -3*a + 1 + 4 = 2*v. Suppose -880 = -h - a*h. What is the tens digit of (h\/30)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o - 1. Let h(i) = i**2 - 8*i + 3. Let a(t) = 3*f(t) + h(t). What is the second derivative of a(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/3 + 104*c**2\/3 - 340*c\/3 + 232\/3.\nAnswer: 4*(c - 2)*(c - 1)*(c + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -174*-1.3\nAnswer: 226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 1317 = 14*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -17. What is the units digit of 4\/y - 32\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21*(2 + -68) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14809.\nAnswer: 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, -2\/7, 0.1, 2, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 479*b - 3. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -12)*3\/42*-1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = m + c - 3, 5 = m - c. Suppose 2*l + 7 = -r, -m*r - 3*l - l - 8 = 0. Sort -5, -3, r in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232 + -225 - (-1 + 3\/1). Solve 3*j - d = -1, 7*j = 2*j + t*d - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23569173 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21049*p**2 - 485*p. Let w(v) = 87*v**2 - 2*v. Calculate 2*u(h) - 485*w(h).\nAnswer: -97*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 119844406.5249 - 0.1\nAnswer: 119844406.4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 + 1760*n**2 - 1708*n - 21072 = 0.\nAnswer: -3, 4, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -14 (b) -4\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10776897 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {w: 4, l: 4, f: 3, c: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4212) + sqrt(4212)*2)*-6 - sqrt(4212))\/(3*(sqrt(64) - (sqrt(64) - (sqrt(64) + (sqrt(64) + sqrt(64)*1 + sqrt(64) - sqrt(64)))))))**2.\nAnswer: 4693\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8024.7 - -8363. What is l rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*p**5 - 8261*p**2?\nAnswer: 7200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*sqrt(68))\/sqrt(4) + 1 + 1)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -557562 or -557561?\nAnswer: -557561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -5 - (-1 + 2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 43. Let y = p + 102. Find l, given that 4*l**3 + 15*l**5 + 18*l**4 - 20*l**4 - 33*l**2 + 6*l - 49*l**4 + y*l**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prrr when four letters picked without replacement from prrprrrrrpr.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + 0.585. What is n rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10098 is divided by 1002.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2639*s**3 - 2637*s**3 + 5275*s**3 + 629.\nAnswer: -s**3 + 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15572\/(-8)*-4 + (-3)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f - 2)*(6 - 4 + 2)*(2*f + 2*f - 3*f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.98 times 1.1?\nAnswer: -190.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(-5 - (-121)\/22)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -463815765*x**4 + 123806136*x - 3?\nAnswer: -5565789180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.002 and 135793958.13803.\nAnswer: 135793958.13603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318609 is divided by 31815.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*k - 2*k + 0*k + 20 = 0, -t + 0 = -4*k + 12 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*f*x**4 - 24311*f - x**4 + 3*x**3 with respect to x.\nAnswer: -604*f*x**3 - 4*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, -14, -145, -432, -935, -1714, -2829, -4340?\n\"Answer: -10*m**3 + 12*m**2 - m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1037 divided by 61\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222414 + -365?\nAnswer: -223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 + 618524*i - 334750446254 = 0. Calculate i.\nAnswer: 1082417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*z = 134, 47*t + 54*t - 122 = 99*t - 2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/20 - 2*m**4\/3 + m**3 + 13*m**2\/2 + 44*m. Does 3 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3014 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 4. Suppose -l*a + 33000 = -a. What is a rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*p + 30, 4*p - 5*a - 13 = 12. Suppose 4*n + p*b = 89, -4*b - b = -5. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 70 = -5*n. Suppose n*m = -26*m - 37. Which is bigger: m or -3\/53?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lddcddcclcllldl?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 49311*s**2 + 16432*s**2 + 16388*s**2 + 16429*s**2 + 1.\nAnswer: -62*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0*i**3 + 0*i**3)*(-147 - 110 + 10 + 62 + 7*i).\nAnswer: 7*i**4 - 185*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 17 - 18)*(2*z - z - 2*z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 172151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 984\/19*g - 30258\/19*g**2 - 8\/19 = 0. Calculate g.\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-3) - 0)*(7 - 1). Let j(w) = 3*w + 24. Let x be j(l). Calculate the greatest common divisor of x and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 10*l - 3*k + 12 = 0, -l + 12 = 3*k. Solve -4*u + 110 - 94 = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -32*b**2 - 355*b - 139. Give p(-11).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56 less than -26?\nAnswer: -27.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22336292400.7314441 - 23209262267.43148. Let j = 872969903 + g. Let u = j + -36.3. Round u to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416235 and 305239.\nAnswer: 4578585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1881?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -19*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7211 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 102861?\nAnswer: 1748637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1499532 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/792029 or 1?\nAnswer: -36\/792029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-66))\/((-40072)\/(-110198))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3073185, 5\/2, 0.1 in increasing order.\nAnswer: 0.1, 5\/2, 3073185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75564.\nAnswer: 2, 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -46*b. Let c(h) = -841*h - 174. Let i(x) = -10*x - 2. Let w(z) = c(z) - 87*i(z). What is w(k(f))?\nAnswer: -1334*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 + 12*z + 33. Give w(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let r(p) be the second derivative of -9*p**4\/4 + 5*p**3\/6 - 16*p. Let y(i) = -242*i**2 + 44*i. Let m(k) = -44*r(k) + 5*y(k). Give m(h(n)).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -511 (base 11) to base 5\nAnswer: -4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 1470 + 406. Let f = g - -262. Let w(p) = -130*p**2 - f*p**2 + 238*p**2. Let j(h) = h. Give j(w(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r - 4 + 3 + 1 + 1 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (119 - 121 + 559*l**2 - 173*l**2)*(0 + 5 - 6)*(-5*l + 6*l + 4*l) to the form s*l**2 + j*l**3 + f*l + y and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 781845371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/6 + f**4\/6.\nAnswer: -f**4*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2582 (base 9) to base 5.\nAnswer: 30222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1679 and 2117?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 73*x + 276 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*326.\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.421553 millilitres to litres.\nAnswer: 0.002421553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21496 and 41847338.\nAnswer: 5374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16.356 + 0.025883965\nAnswer: 16.381883965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34032201 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/(-2)*84\/18. Suppose -12 = 2*q + 2*q. Let o be t\/q + (-1)\/(-3). Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21335 (base 7) to base 13\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 16*n = 17*n. Solve -2*a - 5*r + 27 = 0, n*r - 2*r + 14 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i + 20. Let m be z(-4). Solve 3*j + 0*g + g + 13 = m, 3*j + 2*g = -14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -25.9, -3\/8 in increasing order.\nAnswer: -25.9, -3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/4 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 4. Let p be d(2). Are p and 11\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1055288 and 114397.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, h: 2, k: 6}. What is prob of picking 1 j and 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (75\/(-3))\/(((-6)\/(-2))\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-21))\/(b\/(b*b*b**(2\/31)*b*b))*b*b**(2\/9)*b\/(b\/(b**10*b)) assuming b is positive.\nAnswer: b**(-1036\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2 - 2*c + 2. Let b(w) = 557*w**2 + 127*w - 109. Let n(o) = 554*o**2 + 126*o - 111. Let j(h) = -5*b(h) + 6*n(h). Determine 2*j(x) + 121*m(x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/162 + ((-18)\/(-4))\/(-9) - 1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l - 144 = -2*p, 2*l + 2*p + 52 = 0. Let r = 8 - l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:09 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373792 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: Calculate 6*5\/30*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192291982?\nAnswer: 2, 29, 3315379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 1283*s + 112859. Calculate k(-95).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + x - 4*x - 50, -26 = -k + 2*x. Let v = 22 - 11. What is the highest common factor of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/8*104\/6. Let f be -1 + ((-2)\/2)\/(-1). Suppose 0 = 5*i - 1 - 9. Solve f = -5*p - 3*t - x, t - i*t = p + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 16. Let z be b(-6). Suppose -3451 = -z*a + 1249. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6023257, -12046517, -18069779, -24093043, -30116309, -36139577?\nAnswer: -42162847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -77. What is the lowest common multiple of a and 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, i: 1, n: 2, q: 4, t: 4, a: 3}. What is prob of picking 1 i, 2 a, and 1 n?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19891 + 19891 - 53034*q.\nAnswer: -53034*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 1632*f - 9648 = 0.\nAnswer: -402, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -25*f**2 + f**3 - 14*f + 31 + 6*f + 2*f + 30*f. Is q(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445020*z**2 - 445020*z**2 + 5*z**3 - 2*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 73359794.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26*(-51)\/(-6) - (5 - 2). Let y = t + -214. Put 5, y, -10 in descending order.\nAnswer: 5, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.8 + -30.0982. Let k = -433 + 433.272. Let q = x + k. What is q rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((158 + 4)\/(-3))\/(-1). Suppose -l = l + f. Let k = l - -24. Let j(b) = -b**3 - 4*b**2 - 2*b + 3. Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 613075724453956*x**2 - 99041464*x + 4 = 0.\nAnswer: 1\/12380183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 599479.8.\nAnswer: 1198959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11479, -18128, -24813, -31540, -38315?\nAnswer: -45144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-6)\/(-4) - (-100)\/(-40)). Which is greater: x or 8\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u)\/(u*u**(-8)*u)*(u\/(u\/(u\/(u*u**(-2\/11)\/u*u))))**(-3\/38) assuming u is positive.\nAnswer: u**(624\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -128521780 to the nearest 1000000.\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27\/16 + 3\/16. Let f be ((-13)\/546*7)\/((-2)\/8*-3). What is the nearest to -0.1 in 1, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14340000 to the nearest one hundred thousand.\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2376 and 133\/9943362.\nAnswer: 119320344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 - 42*w**3 + 297*w**2 + 726*w - 19965\/2.\nAnswer: 3*(w - 11)**3*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172652744*d**3 - 85267347.\nAnswer: 517958232*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.2, -11, 0.06, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1109 - 1097. Let q(c) = -86*c - 2. Let m = 2 + -3. Let d be q(m). Calculate the greatest common factor of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 - q**2 - 3*q**2)*(12 + 4*q - 12)*(-102*q + 33 - 33) in the form c + j*q**2 + k*q + a*q**3 + s*q**4 and give s.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6684038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2464632 in 5.4, 1\/6, -0.1?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 42 = 2*b - 32, 3*j = -2*b + 54. Solve 5*n - h = 4, -n + 3*n - 5*h - j = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 1\/3*n - 1\/12*n**4 + 86 - 7\/27*n**3 + 7\/18*n**2. Factor j(k).\nAnswer: -(k - 1)*(k + 3)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*d - 5*x + x, -3*d - 5*x + 19 = 0. Suppose 0 = 2*q - 2. Let k = -29293 + 29297. Solve -22 = 2*h - k*h - d*z, -z - q = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 33 = -5*l, 2*l + 24 = 6*l - i. Let w(t) = 24*t + 38*t + 18*t. Let f be w(l). What is f rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*c + 3*z + 193, 4 = 4*z. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4286693 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -3, -0.3, 0.4, 0.042?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (345\/30 + -10)\/(3\/8) - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257189398?\nAnswer: 2, 79, 1627781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/4 - 8*g**3\/3 - 4*g**2 + 6*g + 1169. Determine a(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600 + 1261. List the prime factors of o.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15 - (616\/(-60))\/(-14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28306712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -4. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65751 and 59671.\nAnswer: 125422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192265 * -1.\nAnswer: 192265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from {b: 4, l: 2, x: 3, s: 1, j: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -7*f**6\/120 + f**3\/6 + 2*f**2. Differentiate d(v) with respect to v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2891*j - 8028. Let t(z) = -2934*z + 8029. Let o(l) = 5*p(l) + 4*t(l). Differentiate o(a) wrt a.\nAnswer: 2719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 2*a**3 - a**3 + (-2*a**2 - 3*a + 3*a)*(0 - a + 0))*(5 - 6 + 5).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2 - t)*(-234 - 234 - 3*t**2 + 437) in the form y*t**2 + d*t**3 + i*t + o and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 5. Let t(u) = -3*u**2 - 7. Let n(f) = -5*t(f) - 7*y(f). Let r(g) = -3*g + 15. Let p(i) = -i + 4. Let o(d) = 15*p(d) - 4*r(d). Give o(n(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + j, 5*j = -s + 12 + 7. Let g be -1 - (27\/(-36))\/(2\/8). Let b be (1\/g)\/(s - -2). What is the third biggest value in 2\/9, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6469676001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - -2*sqrt(288))*4)\/sqrt(12))\/(1*(sqrt(1728) + sqrt(1728)*-2 - sqrt(1728))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -459045\nAnswer: -459040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q + 364 = -70*q - 2*c, 4*q - 360 = 3*c. What is the remainder when q is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760, -3034, -6824, -12130, -18952, -27290?\nAnswer: -37144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 42 = -2*q, 72*w - 98 = 74*w + 4*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 130. Let h be v(-32). Let w(n) = -19*n**2 - 15*n**2 + 46*n**2 - 14*n**h. Let s(o) = 318*o. What is s(w(l))?\nAnswer: -636*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - -2?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.5 take away 5722729?\nAnswer: -5722793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/6 - 9*y + 13. Let d(k) = 18*k**2 + 12*k**2 - 2*k**2 + 3*k**2. Determine d(b(s)).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -37788, 0, 16, 1 in descending order.\nAnswer: 16, 1, 0, -3, -37788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 14*f + 19. Let j(y) = y**2 - 14*y - 20. Let d(r) = 2*j(r) + 3*x(r). Let n be d(15). Let z(s) = s**n - 1 + 4*s - 7*s - 1. Calculate z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12998321?\nAnswer: 7, 1856903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = -1601*s + 1606*s. Calculate the highest common factor of 2940 and s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.37996926 - -27.38. Round u to 6 decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-7) + (-272252)\/203. Let v = q + 1339. Find the common denominator of 16\/5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 - 0.4. Let f be 0\/((-8)\/12*3). What is the nearest to f in -2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:29 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 34*n - 18. Let x(t) be the first derivative of 2\/39*t**n - 2\/13*t**2 - 10 + 2\/13*t. Suppose x(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*i - 30*i + 13*i)*(0 + 2 + 3 + 10) in the form l*i + s and give l.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20033 - 11828. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) -39001 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 30*w + 12. Give z(-31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1101 and 9?\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghq. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 9*s**2 - 26*s - 27. What is the lowest common multiple of 22 and c(-11)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 102, 172, 266, 384?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 126\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9698 - -9702.291. Let d = m + 0.009. Let p = d + -4.5. Which is the third biggest value? (a) -2\/11 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -4\/5, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -n. Let x = n + 9. Suppose 4*v = v. Solve -b + x*b - 5 = v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26365 - -26364.8. Which is the closest to -1? (a) -3\/23 (b) -63 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4*b**2 - 4*b - 7. Let r(a) = -10*a + 56. Let c be r(6). Let f be d(c). Suppose -2*i - 4683 = -f*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 50*o - 2217. Let b(q) = -2*q**2 + 33*q - 2219. Let k(n) = 3*b(n) - 2*z(n). Let w(t) = 2*t. Calculate k(w(g)).\nAnswer: -8*g**2 - 2*g - 2223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-11) - (1 + 0). Let z be ((-9)\/18)\/(1\/184). Let o be (-6)\/(-33) + z\/22. Which is the second smallest value? (a) o (b) f (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -2*o - 1, 3*o = 5*p + 10. What is the smallest value in 0, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -0.3, 3 in ascending order.\nAnswer: -184, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382170861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose 0 = -5*q - 4*g - 245016, -14752 = -t*q - 2*g - 161760. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 3 + 0 - 2. Let k(q) be the first derivative of q**3\/3 + 392. Suppose -9*g + 6*g + 6 = 0. Calculate g*y(p) + 11*k(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7423.816 and -20.83?\nAnswer: 7444.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/1)\/((-2)\/54) is divided by ((-1)\/2 - -1)\/(7\/98).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 + 4000?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10))\/(2\/12). Let c(i) = -i. Let r(b) = -2*b. Let h(p) = l*c(p) - r(p). Let f(y) = -5*y**2. What is f(h(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 6 = -3*h + 3*r, 4*h = 4*r + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 127*r**3 - 9*r**2 + 25*r - 5. Is y(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-8058)\/(-3555))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(1 - 1 + q**3) + 3 - 3 - 2*q**3 - 8*q**3 + 3*q**3 - 8*q**3 as x + z*q**3 + c*q + w*q**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12306 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0267 + 0.0097. Let n = i - 0.5264. What is n rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*l + 7*l + 14, 0 = -5*u - 4*l - 17. Let v(m) = 52*m**2 - 783*m + 44. Let s be v(15). Does s = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 293 and 61823?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136)*2)\/(2*sqrt(8)*5) + 2)**2.\nAnswer: -4*sqrt(17)\/5 + 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 17. Let u be t(6). Suppose 0 = n + 3*h - 18, u = 4*n - 0*h - h. Solve -n*l = -4*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2568911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 67*j - 27. Let d be h(9). Let w(i) = i**3 - 5*i**2 - 7*i + 2. What is the remainder when w(7) is divided by 6\/10 + d\/40 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -162, 3\/4, -1, -3, 1, 1\/4, 1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 121102?\nAnswer: 121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23136 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*u = -89506, m - 23242 = 5*u + 21535. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 62*w**2 + 174*w + 327. What is the least common multiple of 2175 and f(59)?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 125 = -3*r, -2*r - 686*f + 695*f = 114 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**1*s*s)\/s)\/s)\/(s\/(s*s\/s**(4\/3))))**(1\/43)*(s\/s**(-1\/2))**(-1\/7)\/((s**3*s)\/((s\/s**(-3\/7))\/s)) assuming s is positive.\nAnswer: s**(-6809\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 373*o**3*u**2 + 33*o**3 + o**2*u**3 - 15 wrt u.\nAnswer: 746*o**3*u + 3*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -93. Suppose -30 + v = c. Calculate the highest common factor of 248 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 1210*n - 2412.\nAnswer: -2*(n - 603)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15f60c (base 16) to base 2.\nAnswer: 101011111011000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 4, 691676?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/2)*q)\/(q**2*q))\/(q**(2\/9))**4 assuming q is positive.\nAnswer: q**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3010\/4)\/(-5)*((-28782)\/(-861))\/117.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119897.\nAnswer: 3, 124433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 3, r: 2}. Give prob of picking 2 l, 1 r, and 1 z.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006683693783 rounded to six decimal places?\nAnswer: -0.006684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381496 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f*s**4 + 1565*f*s**2 - 2*s**4 wrt s?\nAnswer: -96*f*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65984 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*k - 8, 3*k - 3*l - 11 = 7. Suppose -o - 17 = -5*t - 4*o, 0 = 3*o - 12. Let i = t - -1. Is i bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1712108030 to the nearest integer?\nAnswer: 41378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 39*c**2 + 71*c + 830. Calculate l(-18).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r**2 + 19*r + 150. Calculate d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-34) - 9\/2. Let x be (-136)\/1785 + o\/(-30). Is x less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*a - 2*a + 1304 = 0, 5*h + 6440 = 5*a. Let s = -1817 - h. Let u = s + 928. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246.0398 - -0.0398. Let g = b - -698. Let y = g + -452.0000221. What is y rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1628\/(-1287)) - (-77)\/7 - 8.\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -47, -158, -377, -740, -1283?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5610.4 to the nearest ten.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14600 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 * 361377.\nAnswer: -47701764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3988509391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*v + 191, 313 = 5*w - 10*v + 8*v. What is the second biggest value in 5, -0.1, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 4*k + 6*k**2. Let l(t) = -4*t + 4*t - 3*t + 4*t. What is n(l(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g**(-17)*g))*g**(-2\/37)\/g assuming g is positive.\nAnswer: g**(-594\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -226, -215, -204, -193?\n\"Answer: 11*q - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468706532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.81851 meters to centimeters.\nAnswer: 281.851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -70, 0, 4323 in increasing order.\nAnswer: -70, -5, 0, 4323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 1. Let i(z) = -6*z - 3. What is -i(g) + 4*k(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(484)\/((sqrt(132)*1)\/sqrt(12)))\/(sqrt(108)\/(1*sqrt(3))*1)*3)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + (sqrt(175) + 4)*5*-3 + -3)**2 + -5)*-5.\nAnswer: -216695 - 47250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - 11, -2*u = 5*m + 85. Let c be 1791\/u*(-16)\/12. Let x = c + -79. Find the common denominator of x and 16\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707, 1907, 3029, 4079, 5063, 5987?\nAnswer: 6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51975 = -653*b + 618*b. Calculate the greatest common factor of b and 2805.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:57 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2789975478 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 3*s + 11 = 17*d, -5*s = d + 13. Solve 15 = -3*z - 2*x, 1 = d*z - x + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:44 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 3949, 14158, 34253, 67528?\nAnswer: 117277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4472, 5773, 7918, 10913, 14764, 19477, 25058, 31513?\nAnswer: 38848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6119498 = -t + 155*t. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-80)\/8) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, h: 1}. What is prob of sequence xh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (282\/(-128))\/(-3 + -1 + 152\/32) and -89\/1636.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -41, -50, -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4 - 1. Suppose 0 = 2*j - g*j - 15. Which is bigger: -14 or j?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36574.\nAnswer: 1\/36574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136093 is divided by 34022.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k - 1. Let j(n) = -n - 1. Let p(b) = -3*b**2 + b + 1. Let t(c) = -5*j(c) - p(c). Give 4*i(u) + t(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6254*k - 5957 - 4263 - 16809 + 2013 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from xdjpxdxnjjxjnxoxx.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32238 and 180.\nAnswer: 322380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (5 - 21 - -27 - (2 + 6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (238\/(-238))\/(0 + 1). Sort p, 0, -22, 4 in descending order.\nAnswer: 4, 0, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 3670 = -3595 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3889, 3874, 3853, 3826, 3793?\nAnswer: 3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (2 - (-1 + 1)) - (-4193 - -4185)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let t(y) = -3*y - 4*y**2 - 1 + 1 + 6*y**2. Calculate the remainder when f is divided by t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -51 - (1 + -6) - (5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and (-736)\/(-64) + 2\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23645\/4 + 5825. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0663444636 to five dps.\nAnswer: -0.06634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 2*a**2 - 4*a - 2. Suppose 5*h + 13*h = -432. Suppose 2*z + 0*z - 8 = 0. Let x be (h\/2)\/z + 1. Give b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/7))\/g**(-12))\/(g**(-7\/8)*g)**(2\/43) assuming g is positive.\nAnswer: g**(16161\/1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 201991837 to the power of 1\/2, to the nearest integer?\nAnswer: 14212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 651, 643, 635, 627, 619, 611?\n\"Answer: -8*s + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 25 - 15)*(-2 + r**3 + 2).\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*1340304\/(-7978).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 114. Let q = 50 - 30. What is the highest common factor of r and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l*(l\/l**4)\/l))**21)**(2\/27) assuming l is positive.\nAnswer: l**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165110810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-30) + 8 + 584\/(-40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 30*q + 25*q - 21 = 0, 15 = 4*k + q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4313 - -4513. What is the greatest common divisor of 3150 and k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 566, 799, 1030, 1259, 1486, 1711?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249966*t - 327898.\nAnswer: -249966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w. Let i(t) = -4*t**2 - 6*t + 2. Let y = 27 - 22. Let o(b) = y*q(b) - i(b). Give o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 0*y - 10\/3*y**3 + 9\/10*y**4 + 12 - 6\/5*y**2. Find s, given that h(s) = 0.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + sqrt(200) - sqrt(200))*4 + -1 - (6*sqrt(128)\/sqrt(4) - sqrt(384)\/(sqrt(48)\/sqrt(4))).\nAnswer: -5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1630*f + 1. Let k be z(5). Suppose -5*a = 3*m + 7815, -4*a - 363 = -3*m - k. Round m to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/5 - 36*m**3\/5 + 6*m**2\/5 + 224*m = 0 for m.\nAnswer: -16, -7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 2. Suppose 0 = -2*r - 2*x - 2, h*r + 4*x + 4 = -4. Suppose -o = -4*z + 55, -6*z + 3*z + r*o + 35 = 0. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4566.28 - -449.62. Round y to the nearest 10.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*b - 0*b + 138, -3*h + 4*b = -138. Suppose 5*o - 4*k - h = 0, -5*o = -k - 29 - 5. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*s - 2 - 5, -4*h + 2 = -2*s. Suppose -2*g = h*d - 3*g - 17, -11 = d + 3*g. What is the remainder when d is divided by 1\/((-6)\/4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b**4 - 22*b**2 - 2*b. Let c(q) = -q**4 - q. Let f(t) = -2*c(t) + d(t). What is the third derivative of f(l) wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose d*m + 3*i + 5 = 0, -m - 3*i - 4 = 4*m. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 1. Let a be p(2). Let f be (-2)\/(-6) - (-287)\/a. Suppose f = s + 2*s. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8727 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 406584?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 54*p + 10. What is u(10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -0. Suppose 5*s + 270 = 4*g, 3*g + 2*g = -3*s + 356. Is (g\/(-8) - f)*-4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6 - j**2 + 17 - j**3 - 20 - 3*j. Let v be u(0). Let q(b) = -b**2 - 8*b + 9. Calculate q(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5617 and 5043?\nAnswer: 690891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*g - 4. Solve 1 = -g*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 - 4*q - 7. Let w be o(-5). Let p(v) = -v**2 + 15*v - 28. Let y be p(w). What is the fourth biggest value in 0.2, 0.4, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(3168))\/sqrt(11).\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*h**2 - 422*h - 96.\nAnswer: -2*(h + 3)*(65*h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 552474 and 793.\nAnswer: 33700914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x - 4*x**3 + 5*x**3 + 11*x + 6*x. Let o(r) = 14*r**3 + 10*r. Let j be 34 + -46 + -1*8. What is j*l(w) + 2*o(w)?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22472.694ns to minutes.\nAnswer: 0.0000003745449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((21 - 14) + 1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-20)\/6. Let q = -43 - -43. Suppose -2\/3*s + q + p*s**3 - s**2 = 0. Calculate s.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 21*c = 85. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -137.81? (a) 0.5 (b) 0.4 (c) -0.017 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 39*p + 252 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2276 + -2259. Solve b*v + 7*v = 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60\/118021 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 14 - 22*q + 0 + 14 + 7.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.62 + 0.82. What is h rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 471.44202 days?\nAnswer: 67.34886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 158*i**2 + 218*i - 103. Let m be u(54). Suppose 4*k - 3*n = 1, -4*k + n - 3*n + 26 = 0. Solve -33 = k*q - 5*p, -18 = -m*q + 5*p - 53 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19364*z + 10629?\nAnswer: 19364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4, 5*p + 0*p = 2*o + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-216)\/60 + 4\/10*-1. Let j(h) = -h**3 - 3*h**2 + 6*h + 8. Let y be j(n). Suppose y = -5*c + 2*o - 7*o + 90, c - 2*o = 15. Which is bigger: c or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q**2 + 41*q**2 + 19*q**3 + 46*q**2 - 127*q**2.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/147, -32, 0, 1\/3, -3, 1\/106?\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6662.623 rounded to the nearest 10?\nAnswer: -6660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 831185.5 to the nearest one thousand.\nAnswer: 831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 7*m + 5*g + 16, 19*g + 1320 = 435*m + 8*g + 8*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -507, -630, -755?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2049548 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4\/7 + 600*y**3\/7 + 13590*y**2\/7 + 20220*y\/7 - 99696\/7 = 0 for y.\nAnswer: -67, -31, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + u - 11*u - 4*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 8, 3*z - 3*k - 35 = -8. Suppose 107846958 + 31510862 = -z*a. Let c = 7771564 + a. What is c rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 9*i**2 + 11*i + 20. Let u be m(-5). Let o = u + 16. Solve o = x + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 2*x**3 - 4*x**3 + 6*x**3 - 12*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*j**2 + 234*j**2 + 4*j**2 - 608*j**2.\nAnswer: -514*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 + 356 = 4*n. What is the tens digit of n\/(-4) + (-3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1705*j**5 - 4*j**3 - 4641084*j.\nAnswer: 34100*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6467010 and 45\/39194.\nAnswer: 6467010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (2 + 9 - (-13 + 17))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.4 and 1032.8?\nAnswer: -24167.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210010000 (base 3) in base 16?\nAnswer: 3c1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Let l = a + 3. Let m = 2.99964 - l. Round m to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppmpfjffppjfjp.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, -121, -369, -719, -1177, -1749, -2441, -3259?\n\"Answer: -c**3 - 42*c**2 - 19*c + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7491494 and 17324?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8303482.\nAnswer: 2, 11, 571, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:22 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -24. Suppose 0 = 3*a + 3*b + v, -2*a + b + 8 + 1 = 0. Let w be ((-10)\/(-80))\/(1\/a). What is the third smallest value in 3, -0.9, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*s**4 - 28*s - 59484?\nAnswer: 532*s**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*q + 4*q - 43 = 0, -2*x - 4*q + 42 = 0. Suppose x*a - 13 = 9. Suppose -a*g = g + 12. Let z(v) = -v**3 - 4*v**2 + 4*v + 2. Calculate z(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 14*f**2 - 13*f - 29. Let p(y) = 3*y**2 + 62*y + 334. Let m be p(-11). Calculate r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52053?\nAnswer: 3, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 4:28 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b - 1062 + 1062. Let z(i) = -i**2. Calculate z(m(n)).\nAnswer: -225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcrg when four letters picked without replacement from {r: 1, s: 1, c: 1, h: 1, g: 2, p: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 5) in base 11?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (1 - 5) + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a - 4. Let r be n(-6). Let f = -37 + r. Suppose 8 = -m + f. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 123950343?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.96 + -9. Put -2, 0.0957, b in descending order.\nAnswer: 0.0957, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -118. Let a = -41 - m. Let z(j) = 223*j**2 + 3*j + 3. Is z(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 f when four letters picked without replacement from {f: 12, l: 2, c: 1, r: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 28700042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:50 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Let m(q) be the first derivative of -q**2\/2 - q + 1. Suppose d = -2*b - 4, -5*b - 15 = 3*d - 4. Let f(i) = -1. Calculate b*m(k) + h*f(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*h - 24*h. Suppose -10 = -3*j - 4*r + 2, h = -5*j + 5*r + 20. Suppose -1 + 16 = 3*z + q, 20 = j*z - 3*q. Solve -z = 3*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4930303 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let v(j) = 36*j - 36*j + 27*j. Calculate v(u(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 18*n + 44. Let y be p(-21). Let a = y + 25. Suppose a = -6*w + 8*w. What is the least common multiple of w and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13115 and 1220?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3558 + 490.7858. Round o to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002215298933 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1621 or -0.0371?\nAnswer: -0.0371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 14*g**2 - 5*g + 13. Let o be i(6). Is -7\/6 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/2932 or 0?\nAnswer: 11\/2932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 678 and 130596.\nAnswer: 14757348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*i + 1 = 0, q + q + 4*i = 10. Let j = -3 - q. Let v be 1\/3 + (-380)\/j. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801950, -801948, -801946?\nAnswer: -801944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/10 and 11\/24230.\nAnswer: 24230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**4 + 7656*j**3 + 242036*j**2 + 2147280*j + 3387600 = 0.\nAnswer: -1882, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/490*28\/8*(-1 + -19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -346006.45804 less than -30458?\nAnswer: 315548.45804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12152 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -730370\/7 - -103436. Let x = -901 - g. Let i = x + -41\/35. Which is the nearest to -2\/3? (a) -11 (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1345890.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/4, -0.8, -0.3, 15 in increasing order.\nAnswer: -0.8, -0.3, -1\/4, 2\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 15 = 0, -y = -0*v + 3*v + 10. Suppose -t = -y*f + 45 + 19, 3*f + 2*t - 41 = 0. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -15. Let b be (-3 + (-1 - -3))*-1. Let t be (b - 2)\/1*4. What is the closest to -1 in z, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122746 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 3*b - 16 = 0, -2*b = -3*d - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, 0.1, -2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-5)\/((-10)\/4). Let j = 9 + w. Let n be 8\/6*9\/j. Solve n*c + 3 = 3*d, -3*d - d + 32 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18*l**3 + l**2 - 1. Let n be k(1). Suppose -9*r - 2703 + 3108 = 0. Calculate the greatest common divisor of r and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w**2 - 18*w**3 + 25*w**4 + 20*w**5 - 3*w - 2*w + 3*w**3 = 0. What is w?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 15. Let p be t(-9). Let h(a) = a**2 + 5*a - 6. Let l be h(p). Suppose l*k - 5*k = -220. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - 0.03. Let k = -305\/3 + 102. What is the third smallest value in k, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 - 3*j**2 + (-3 + 1 + 1)*(4*j - 2*j**2 - 4*j))*(58*j**2 - 14*j**2 + 14*j**2).\nAnswer: 58*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*h + 336. Let k(w) = -w**3 + 8*w**2 - 14*w - 8. Let j be k(5). Let f be -2 + 4 + (5 + j)*5. Calculate the greatest common factor of f and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15))\/sqrt(3) - (-3*sqrt(15)\/sqrt(3))**2.\nAnswer: -45 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 72. Let c(i) = 5*i + 62. Let h(s) = 6*a(s) + 7*c(s). Let p(j) = 16*j + 4 + 4 - 2. What is -7*h(y) + 2*p(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose -3*w + h = w, o*h = -2*w. Let v be -9 + 6 + (-5)\/(25\/(-30)). Solve t - v = -w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from edddemhhdddddeee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckkkjjckjkjj. Give prob of picking 2 c and 2 j.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:20 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 110.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5542273 micrograms in milligrams?\nAnswer: 0.0005542273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 613019.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46133578*s**5 + 197*s + 8660.\nAnswer: 922671560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 (base 9) in base 2?\nAnswer: 1010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-9 + (16 + -7 - (2 - 2) - -5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 + -34063?\nAnswer: -34015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8595623ml to litres.\nAnswer: 0.0008595623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3203968 and 12?\nAnswer: 9611904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - y)*(-4*y + 4*y + 4*y + (3 + 1 - 2)*(-12*y - 117*y - 98*y)).\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*l - 275*l + 657*l in the form y + s*l and give s.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 2*j**2 - 3*j - 5. Let y(u) = -9*u**3 + 3*u**2 - 5*u - 9. Let c = 8 + -11. Let x be (5\/(-10))\/(2568\/(-80) - -32). What is c*y(t) + x*v(t)?\nAnswer: 2*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.361 + -16.9. Let o = r - 0.061. Which is the fourth biggest value? (a) -5 (b) 1\/2 (c) 2\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106 and -2.192?\nAnswer: 232.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -1413, -3207, -5725, -8967, -12933?\nAnswer: -17623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1188 and -86808 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 7*v - 4. Let n be y(6). Suppose n*f = -f + 120. Calculate the highest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - 2*j + 3*j + (0*j + 4*j - 3*j)*(2 - 2 + 1) - 4*j + 2*j - 3*j + 0*j - j - j + (3 - 4 + 2)*(-3*j - 2*j + 3*j) + 2*j - j + 0*j + 2*j - 5*j + j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*1*sqrt(171) - sqrt(171)*1*1)\/(-2*(sqrt(99) - (sqrt(99) + 1*sqrt(99)) - sqrt(99))\/sqrt(11)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2038999 and 1?\nAnswer: -2038999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r + 32*r - r**3 + 0*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*a**4 + 22632*a**2 + 721*a - 984.\nAnswer: -756*a**2 + 45264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794552.8 millilitres to litres.\nAnswer: 794.5528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/2)\/(p*p\/p**(5\/3)))\/(p**1)**(-24\/11)*(p**(1\/3))**(1\/3)*((p\/(p*p*p*p\/p**(-1\/3)*p))\/p)**(40\/9) assuming p is positive.\nAnswer: p**(-14401\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 577523351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/36)\/(-26)*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 12*k**2 + 23*k - 39. What is y(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.04 (b) -2\/37 (c) 1 (d) -1056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26 - 1)*(-90)\/27. Suppose -y = -4*y + c. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -221\/252 (b) -4 (c) -0.0089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -6.\nAnswer: -6, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*a - 10, a + 2*a - 3*j - 30 = 0. Let k = 62 + -59. Differentiate k - v + 1 - a*v - 4*v with respect to v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -120 - 44*p - 66 + 96*p. List the prime factors of a(18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7528*s**2 + 15052*s**2 - 7523*s**2. Let w(h) = 47*h**2 + 3. What is w(x(i))?\nAnswer: 47*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -1e013?\nAnswer: -1e019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/10 - 10887*q\/10 + 316111.\nAnswer: -(q - 283)*(q + 11170)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-32)\/(-6)*(-2 + -17)*-21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9927, -19855, -29783?\n\"Answer: -9928*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 2*c + 1. Calculate the remainder when 10 + (-6)\/((-90)\/345) is divided by j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 1244 - 3375 - 4698 = 0. Which is greater: t or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 5\/4 (c) 1\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqdqaqaqqd. What is prob of picking 2 q?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 + 84 + 61*w**2 + 64.\nAnswer: 77*w**2 + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(210))\/sqrt(7))\/((sqrt(6) + sqrt(96))*2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*q + 0 = 20, 0 = -4*q - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 34\/3 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = -19 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/4))\/(u*u**(2\/3))*u**(-4)*u\/u**(-9))\/(u**13\/u**11)**(-2\/39) assuming u is positive.\nAnswer: u**(965\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:48 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 0 - 3)*(0 + 0 + 3*y)*(11 + 3 + 7).\nAnswer: -2520*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42436094353 plus 1453?\nAnswer: 42436095806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:17 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:59 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51786305, 103572620, 155358935, 207145250, 258931565, 310717880?\nAnswer: 362504195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 5*b**2 - 5*b + 6. Let u be w(-6). Put u, 2, 1 in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*s - 27, -u + 1012*s = 1017*s + 32. Factor -5\/3*r**4 + 0 + 0*r - 20\/3*r**u - 5*r**2.\nAnswer: -5*r**2*(r + 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {f: 4, t: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13157 - -13151. Put 104, h, -1 in descending order.\nAnswer: 104, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4064*z**3 + 4*z**2 + 2*z - 2. Does 7 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1940 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19.0013 and -0.06?\nAnswer: 18.9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 76, 33 in increasing order.\nAnswer: -2, 33, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 5, p: 2}. What is prob of picking 2 y and 1 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, u: 1, f: 2, q: 3, b: 3}. Give prob of picking 2 v and 1 q.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*l**3 - 4023*l**3 + 1264*l**3 + 1742*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 19*r**2 + 13*r. Let x(d) = -9*d + 27. Let m be x(5). Does 15 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(20\/5) + -132. Let t = 747 - p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 2*y + 13, 0*y = -q + 4*y - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/120 - 3*t**5\/20 - 3*t**4\/8 + t**3\/6 + 3*t**2. Is h(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 bigger than 231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43 - -5 - (4 + -1). Suppose 11*w = 10*w + y. Let h = 68 - w. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 98, 401, 906, 1613, 2522?\n\"Answer: 101*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 3934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 35. What is the remainder when 424 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46364.42 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.573374 less than -13598?\nAnswer: -13615.573374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 23*f**2 - 26*f + 90. Let w be p(22). Which is the second smallest value? (a) w (b) -22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 434*b**2 + 48277*b - 311. What is x(298)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122040*t = 1121938*t - 2040 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 - -408. Let w = 394 - t. Let l = -156.00000079 + w. What is l rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/(v*v**(-4\/5))*v**(10\/7)\/v*v*v\/v**0 assuming v is positive.\nAnswer: v**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2561a - 5?\nAnswer: -25624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:42 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - -21. What is the derivative of q*g**4 - 16 - 29 - 13*g**4 + 21 wrt g?\nAnswer: 152*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-38 - -22) + 34).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 8738.602.\nAnswer: 8739.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1232\/(-924)*338\/16 - -28\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k**3 + 2*k**2 + 6*k - 7. Let b(c) = -39*c**3 - 4*c**2 - 13*c + 14. Determine 6*b(w) + 13*j(w).\nAnswer: 13*w**3 + 2*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -151*f + 136 + 7. Let n(t) be the second derivative of -t**4\/12 - t**3\/6 - t. Let g(w) = -2*w**2 - w. Determine f*n(c) - g(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1944397 or -1944396?\nAnswer: -1944396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let w(l) = l**3 + 3*l**2 - 5*l + 3. Let t be w(-4). Let h be (-2)\/(-4)*2\/t. Which is the smallest value? (a) 0.3 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owv when three letters picked without replacement from {o: 3, v: 4, w: 6, p: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10773849, 21547700, 32321551?\n\"Answer: 10773851*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*o = -958*o - 5638*o - 267812 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-190)\/(-4) + -1)\/(9\/24)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 626758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31d1 (base 14) to base 4.\nAnswer: -2012203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31110213021 (base 4) to base 16.\nAnswer: -3549c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 14*u**2 + 4*u - 33. Let r be t(14). Let y be (r - -12)*2\/10. Is -2\/19 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/10856472 and -1\/21648.\nAnswer: 21712944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 3. Let q(v) = -v**2 + 5*v + 9. Let c(k) = -3*q(k) - 8*s(k). Determine c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-12)*2*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4172358 and 1206?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 11*x**2 - 40*x + 359. What is the remainder when l(7) is divided by 94?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4460*a - 8 = -h - 4458*a, 4*a + 40 = -10*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 1\/12*u**4 + 0*u**3 + 0*u - 3*u**2 + 0. Let m(f) = -4*f**2. Calculate x(m(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/46886 and 55\/3689.\nAnswer: 1453466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 6\/4 - 0. Let a be ((-4)\/(-20))\/(48\/120). What is the nearest to a in -1\/5, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208308 - 145*w**3 + 0*w - 208308 + 0*w.\nAnswer: -145*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2008800 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368012 and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566999 to the power of 1\/2, to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.782 - 10.782. Which is the closest to 2\/5? (a) 2\/23 (b) -1.7 (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 51. Suppose 860 = g*h + 432. What are the prime factors of h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -431, -654, -893, -1154, -1443, -1766, -2129?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 133, 0, -2, 3 in increasing order.\nAnswer: -2, 0, 3, 15, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/(-10))\/(1\/5). Let l be r\/12 + (-3)\/12. Suppose -4*j - 2 = -l*j. Solve 3*y + j*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 300 = -55*y + 6*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1262.089 - -1262. What is the third biggest value in -5, -3, x, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6356 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 - 12*w - 10. Let y be u(-11). Let j be (y - -1)\/((-182)\/178 - -1). Let r = j - -179. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 26, 5, -1\/4, -0.0791 in increasing order.\nAnswer: -1\/4, -0.0791, 5, 26, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*u + 1. Let s = 6 + -8. Which is the closest to u? (a) s (b) -2\/5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2067 and -2182?\nAnswer: -4510194","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 7*z - 14. Let r be m(-8). Let g = 48 + r. Let f = 25 - g. Let s(c) = 2*c**2 - c - 1. Give s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*z - 31. Let j(l) = l**2 + 8*l + 9. What is j(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3783 + -0.378303294. What is k rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/29 (b) 97 (c) -11\/25 (d) -4 (e) 69 (f) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51b05 (base 12) in base 16?\nAnswer: -1a1f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 6, 3 in increasing order.\nAnswer: 3, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25844658 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 62?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 5\/(135\/114). Let g(h) be the second derivative of 0*h**2 - 3*h - 1\/18*h**4 + 0 + y*h**3. Factor g(z).\nAnswer: -2*z*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**3 - z + 2538*z**2 - 25*z**3 - 2537*z**2 + 0*z + z.\nAnswer: -61*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257 - -2?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/36)\/(420\/(-450)). What is the biggest value in -0.2, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -850*l + 6823. Determine h(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m + 9. Let v(b) be the second derivative of 7*b**3\/6 + 2*b**2 - 25*b + 2. Determine 6*t(r) - 13*v(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 n when four letters picked without replacement from {n: 4, w: 10}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/340)\/((3\/((-36)\/(-4)))\/((-7)\/315))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdzzekuukzzg. What is prob of sequence udzg?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**4 + 77*i**3*l - 2*i*l - 69*l + 25 with respect to i.\nAnswer: -20*i**3 + 231*i**2*l - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1022\/9 + 1019\/9. Suppose 0*v + 4 = -v. What is the nearest to -2\/7 in v, -0.4, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.8. Let y = 0.1 - j. Let i = -8.4 - -8. What is the nearest to y in i, -0.3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215.4+-87846\nAnswer: -88061.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 113 - 1323*t**2 + 100*t**2 - 58.\nAnswer: -1223*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.266518 to 3 decimal places.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -176. Calculate the remainder when 10\/(-65) - (-4023)\/39 is divided by 11\/(-22) + c\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 10*f + 248. What is i(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1900\/(-1140)*(-42)\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 + 445. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/534 and -28?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 41 + 21 + 20. Let v(q) = 23*q. Give a(v(c)).\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254052 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6691851 is divided by 5804.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:40 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 758 - 488. What is the greatest common divisor of 234 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2. Let x(h) = -23*h**2. Let i(c) = -22*j(c) + 6*x(c). Let t(p) be the third derivative of p**4\/8 - 13*p**2 - p. Determine t(i(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 + 6*k + 12. Let x be o(9). Let r be 9\/x - (-23)\/5. Let s = 2 + 2. Is r greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 1162*p - 38343. Calculate d(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.08345191969 - -0.08345160969. Let z = 0.108 - 46.108. Let a = q - z. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w = -35*w - 15. Let t = -0.7 + -4.3. Which is the nearest to 1\/2? (a) t (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*m + 455*m - 4 + 4 - 234*m + 43*m**2.\nAnswer: 43*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (1 - 0) + -4. Let b be (3 + -9)*(-3)\/w. Let p(v) = 2*v + 4 - 3*v**3 + 4*v**2 + 4*v**3 + 0*v. Calculate p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 84*o - 89*o = -10282, -2*r = -2*o - 20624. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 88?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -641*v + 4608. What is z(7)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111821326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408187 is divided by 136044?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230351245 (base 6) to base 3.\nAnswer: 21221212022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -0.5. Let v = 21 + -43\/2. Sort v, q, 5, -3\/8 in increasing order.\nAnswer: q, v, -3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4\/4 - 35*l**3\/4 - 585*l**2\/4 - 2025*l\/4 - 540 = 0.\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64633 - 1656072 = -24665*j + 2222279 - 859859 for j.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -53. What is the second derivative of 5*y**5 - 1043*y**2 - o*y + 1043*y**2 wrt y?\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -2.7. Put -0.5, -2, p in decreasing order.\nAnswer: -0.5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/8)\/((-1)\/6). Let d(x) = 2*x**2 + 3*x + 1. Let i be d(y). What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, -914, 0.\nAnswer: -914, 0, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*m = -40, 73 - 81 = 4*m for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215765 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k**2 + 17*k**2 + 3*k**5 - 4 - 4*k**5 + 4 + (-2 - k**2 + 2)*(2*k + k**3 - 2*k) + 0*k**5 - 4*k**5 + 2*k**5 - 8*k**3 + 8*k**3 - 4*k**5.\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -0.36. Let v = 64.14 - 66.14. Which is the third biggest value? (a) 1 (b) 2 (c) v (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -19. Calculate the lowest common multiple of 22 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5.2, 1\/3, 2\/9, 0.4, -11, 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**2 + 1 - 1 - 70*f**2.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, p: 9}. Give prob of sequence ppkk.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 - 3\/2*y**2 + 9\/4*y + 1\/4*y**3 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10439562370 and -5933.\nAnswer: -10439568303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 6*c - 42588 = 0. What are the prime factors of c?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21584.6721ms to days.\nAnswer: 0.00024982259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60872.91 milligrams in micrograms?\nAnswer: 60872910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312359 * -10.5.\nAnswer: 3279769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - ((-4 - 3) + 4) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32752751, -131011003, -294774757, -524044013?\n\"Answer: -32752751*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/(140\/4)*5\/30*304\/(-6).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-26)*(-9789)\/2259?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 3*h + 4*c - 602, 5*c = 10. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teevttvvteetxoexxt. Give prob of picking 1 v and 3 t.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, 0.5, 66, -1\/15, -2\/7, -5?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 102*p**3 - 40*p**2 - 21128*p wrt p?\nAnswer: -12*p**2 - 612*p - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77289448 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:50 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*q**2 - 73*q**2 + 14 + 13 - 27.\nAnswer: -250*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 12*z**2 + 2*z + 31. Let h be s(-12). Let u(a) = -a - 8. Determine u(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1005924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h - 1. Let x = h - -5. Solve x*w = 3*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 119 and 9775571004867?\nAnswer: 9775571004748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let i(a) = a**3 - 2*a + 1. Let h be i(1). Suppose -3*r - 2*r + 141 = -v, h = w*r - 4*v - 60. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41308 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 + 3 = 0. Suppose -2*h = 5*t - 4*h - 19, -2 = h. Suppose -15 = -c - v*b, -c - 2*c = b - t. Solve c = -l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*s**5 + s + 84?\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 32. Let g(q) = y*q - 8*q + q**2. Let k(n) = 3*n. Give k(g(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*v - 4435*v - 7166*v.\nAnswer: -12472*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.27 - 0.27. Which is the nearest to -0.1? (a) h (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -12. Suppose 0 = 2*n + 50 + 140. Let v = n + 167. Calculate the highest common divisor of v and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, f: 5, s: 4, k: 5}. What is prob of sequence kf?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6*t - 3. Let a(h) be the third derivative of -h**5\/20 - 19*h**4\/24 - 5*h**3\/3 + 4*h**2 - 66*h. Determine -4*a(k) + 14*m(k).\nAnswer: -2*k**2 - 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5 - -3)*-1*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 955888 + -1620288. What is h rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**3*m**3 - 1791*l**3*m - 18*l - 41*m**3 wrt l.\nAnswer: 24*l*m**3 - 10746*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -28.4, -59, 6\/5, -24?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 at least as big as -177662\/1381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = 4, j + 4*h = -2. Suppose 0 = -2*o + 3*i - 9, 0 = -j*o - 2*i - 14 - 0. Let b = -3 - o. Solve -3*x - 5 = -5*p, -3*p + 0*x + b*x + 9 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/120 + 7*j**5\/60 - 5*j**3\/6 - 451*j**2 - 2. Let p(q) = q**3 - 6*q**2 + 4. Give 4*g(z) + 5*p(z).\nAnswer: z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in 5, 2\/7, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 2. Let d be t(-3). Let i = -28 - d. Let o be (-2 - -1)\/((-1)\/3). Solve -5*k - 12 = -o*k - 4*l, 0 = -2*k + l - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 + -70. Calculate the greatest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(34\/408) - (-67 - 29)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 4*q - 1. Let x be k(-4). What is the third biggest value in 0.5, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = 1. Let o be 4\/(1 - w\/(-6)). Let q(d) = -d**2 + 8*d + 9. What are the prime factors of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 16*x - 39. Suppose 1 = h, 2*h - 69 = 5*y - 2*h. Let g be m(y). Solve g*s = -2*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0292 - 742.9708. Let b = 743.329 + i. What is b rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**9\/1512 + i**8\/420 + i**7\/420 - 7*i**3\/6 + 7*i. Let m(g) be the second derivative of z(g). Factor m(b).\nAnswer: 2*b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24689 - 24689 + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4093*s**4 + 9*s**2 + 12*s + 233. Let v(k) = -5*k**4 - k**2 - k + 15. Let j(u) = 2*b(u) + 18*v(u). What is the second derivative of j(d) wrt d?\nAnswer: 97152*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = 4*a, -a - 5*j = -4 + 17. What is the second derivative of 7*w**3 - 20*w**5 - 12*w + 2*w - a*w**3 wrt w?\nAnswer: -400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0 + 12. Suppose 173 = 3*f + 3*n - 37, u*f - 5*n = 262. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*r - 12 + 38, -2*r = g + 11. Let l(w) = 5*w**2 + 5*w - 14. What are the prime factors of l(r)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + 1 + sqrt(405))*-2 + 5)**2.\nAnswer: -324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*v**4\/9 - 542*v**3\/9 + 1246*v**2\/3 - 8330*v\/9 - 1372\/9.\nAnswer: 2*(v - 7)**3*(13*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4\/z)\/(z**(-2\/5)*z))**(-22)*(z**1)**(1\/30)*(z*z**(-3\/7)*z)\/z**(-1) assuming z is positive.\nAnswer: z**(-15161\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 582*o**5\/5 - 202*o**3 + 518. What is the third derivative of s(t) wrt t?\nAnswer: 13968*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let p be 2\/(-4)*a - -3. Suppose 22*s + 4045 = 4089. Solve 0 = s*t + 6 + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -97*t**2 + 2*t. Let j(s) be the second derivative of s**4\/6 + 242*s. Give m(j(g)).\nAnswer: -388*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-25)*(-90)\/36\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384 + 574. List the prime factors of n.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -12.6437367836?\nAnswer: -12.2437367836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 9*s + 4*h + 14, -2*h = -s + 4. Let p(v) = -2*v**s - 6*v**2 - 2*v**2 - 4*v + 25*v + 9*v**2. Let r(o) = 2*o**2. Calculate r(p(t)).\nAnswer: 2*t**4 - 84*t**3 + 882*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 1 g when three letters picked without replacement from tucgu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*q - 9, -2*y - 1 = 5*q - 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 8) to base 9.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 (base 9) in base 12?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:28 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1269, -5, -3, 6, 14 in increasing order.\nAnswer: -5, -3, 3, 6, 14, 1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.104045 times -1?\nAnswer: 11.104045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 152 = 2*x - 5*x, 3*x + 2*s - 160 = 0. Let v = -59 + x. Calculate the smallest common multiple of 4\/18*v*-21 and 11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-24)\/3) + 2077 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24947974 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 461273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -2*a, -11*o + 7*o + 42 = a. Suppose -o*n + 8*n - l = -3566, 2*l = 2*n - 3566. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(-11 + 37625\/3420). Which is smaller: x or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 31*x**2\/2 + 5*x - 517. Calculate r(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062017851 to five decimal places.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4310783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -59, -91, -123?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/21)\/w**(2\/13))\/((w\/w**(1\/12))\/(w**34\/w*w*w*w)) assuming w is positive.\nAnswer: w**(12645\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3310*q**2 - 3313*q**2 + 6622*q**2 - 15)*(-1 + 2*q + 1) - 3*q**3 + q**3 + q**3 to y*q**3 + u*q**2 + w + n*q and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 14, 1, -205, 2 in descending order.\nAnswer: 14, 2, 1, -1, -2, -5, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 66?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -54*s - 32. Let w be n(6). Let u be (-20)\/60 + w\/(-6) + -2. Let d be (-3)\/(-2)*76\/u. Solve 14 = 4*h - d*h - 4*y, -5*h = -y - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378647065.\nAnswer: 5, 1187, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*h - 1, 6*h - 5*h - 5 = 0. Let t be q*((-10)\/12)\/5. Which is the closest to 0.04? (a) -3 (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49762185 divided by 573.\nAnswer: 86845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175460373 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1117.68 rounded to the nearest integer?\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/3 (c) 1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 - 5*v + 5. Let g be t(-6). Let p(b) = -13*b**3 + 2*b**2 - 1. Let y be p(g). Solve y = 4*a + 3*z, 0 + 7 = 3*a + 4*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 6*v**3 + 2*v**2 - 8 + 8*v**3 in the form f*v + k + y*v**3 + u*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c - 2\/15*c**5 + 0*c**3 + 0 - 1\/60*c**6 - 1\/3*c**4 - 6*c**2. Factor x(l).\nAnswer: -2*l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + f + 2*f**4 + (f**4 - 2*f**2 + 2*f**2)*(2 + 3 - 4) + 4*f**4 - 41*f - 11876*f**2 + 11876*f**2 as t*f**3 + n + c*f**4 + a*f + i*f**2 and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38506 = -43*r + 5348 - 10658. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 9*l**2 - 2*l - 13. Let w be n(-9). Suppose 4*i + 52 = 5*a + 8, -4*i - w*a - 4 = 0. Is 14 a factor of (-1 + -27)*i\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a week?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/126, 5, -9\/10, -1\/2 in increasing order.\nAnswer: -9\/10, -1\/2, 17\/126, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9384.1448 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 + 12*t + 5. What is the units digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 + 2*g**3 + (-4*g**2 + 7*g**2 + g**2)*(0*g - 7*g - 12*g).\nAnswer: -74*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*34763.\nAnswer: 13905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 7. Let u be l(7). Suppose -m + u*m = -218. What are the prime factors of m\/10 - (-4)\/(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2918012599, -2918012598, -2918012597, -2918012596, -2918012595, -2918012594?\n\"Answer: v - 2918012600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 2, v: 4, x: 1, g: 7}. Give prob of picking 1 v, 1 a, 1 q, and 1 x.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**4 - 23*n**3 - 2*n*s - 2913*s with respect to n.\nAnswer: -16*n**3 - 69*n**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*z**4 - 4\/5*z**3 - 1\/5 - 6\/5*z**2 - 4\/5*z = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143) + 2*sqrt(143)) - sqrt(143))\/(sqrt(44) + sqrt(1584)).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 10:26 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1\/18*c**4 - c - 4\/9*c**2 + 2\/45*c**5 + 1\/135*c**6 - 4\/27*c**3 + 0. Determine i so that b(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 3474430 + 1517570. What is k rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4493, 8986, 13479?\nAnswer: 17972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47643802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 746, 2492, 6234, 12968, 23690, 39396?\nAnswer: 61082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 963438258 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/2 - 13*g**2\/2 - 3*g. Let t be p(6). Suppose 2*r - t*a = 129, 20 = -2*r - a + 167. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -360, -381, -402?\n\"Answer: -21*u - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a + 1. Let g(f) = -2*f**2 + 7*f + 4. Let k = -41 + 42. Suppose -2 = -3*l + k. Let u(x) = l*g(x) + 5*h(x). Factor u(r).\nAnswer: 3*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*m + 5*q + 184, -3*m = 2*q + 114. Sort -3, m, 4 in decreasing order.\nAnswer: 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 2, u: 1, x: 2, v: 2, j: 3}. Give prob of picking 1 j and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwdwwwbqwp. Give prob of sequence dq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 807, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 9. Let i(p) be the first derivative of -13*p**2 - 46*p + 61. Let o(b) = -2*i(b) + 11*n(b). Determine o(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34739 - 34605. Calculate the remainder when 990 is divided by s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2 + 381*m - 53. Calculate r(62).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/2)*t*t**(-6)\/t*t*t*(t*t**(-1)*t)**(-25) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 divided by 74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6943, -6927, -6879, -6799, -6687, -6543, -6367?\nAnswer: -6159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p - 22 = -4*j, 0 = -4*j - 5*p + 2. Suppose 0 = 4*w + l - 11 + j, l + 1 = -w. What is the greatest common divisor of 21 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-9)\/180*2). What is the second derivative of f*a - 76*a - 101*a**3 - 26*a**2 + 99*a**3 wrt a?\nAnswer: -12*a - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1067 - -33057\/10670. Calculate the common denominator of 63\/40 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15003 and 26502.\nAnswer: -397609506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-8\/3)*b\/b**0)\/(b\/b**(-11)*(b**9\/b)\/b*b*b))**(6\/5))**31 assuming b is positive.\nAnswer: b**(-4216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329961 + 76986 = -i + p, -813915 = 2*i - 5*p. Round i to the nearest 1000.\nAnswer: -407000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 72. Suppose l + 0 + 2 = 0. Sort 2, s, l in descending order.\nAnswer: 2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -855 divided by -5\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -51, -3.\nAnswer: -51, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*d**3 + 1263*d**2 - 2811*d - 102.\nAnswer: 3*(d - 2)*(d + 17)*(28*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let h be 2 - m - 2 - 1. Suppose u + 8 = 4*x, -5*x + h*x + 2*u = -13. Put x, 2, -1 in descending order.\nAnswer: 2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1673057, -1673056, -1673055, -1673054, -1673053, -1673052?\nAnswer: -1673051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40798.\nAnswer: 2, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -8 in decreasing order.\nAnswer: -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 2*l - 2. Let g(b) = 8*b**3 - 2*b + 1. Let d be g(1). Suppose 0 = 2*f - t + d, f - 4*t + 6 - 13 = 0. Let i = 8 + f. What is q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-2))\/((-57)\/1*(-234)\/(-351)))\/3?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-105)*3)\/((-1)\/(-7))*-1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2036 - -29?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 9) to base 11\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/120 + h**4\/2 + h**3 - h**2. Let s(f) be the first derivative of r(f). What is s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1772 + 1772. Let z = -95 + 571\/6. Find r such that -2\/3*r**2 + d - z*r = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:43 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxubzuu. Give prob of picking 1 r and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 12*n + 96 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 49, 27, 5, -17?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595*t + 915*t + 67*t + 278*t + 68*t.\nAnswer: -1267*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 692447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b)*((-8 + 2 - 5)*(-1 + 4 - 1) - 1 + 2 + 1).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*p**2 + 38*p - 22*p - 16*p + (3*p - p - p)*(-3 + 3 + 9*p) to the form i*p + u*p**2 + j and give u.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 724\/(-56) + -2 - (145 - 160)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*z - 3*n + 2*n, -91*z - 3*n = -92*z - 62 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 1. Suppose -5*h + 0*h = -5. Calculate p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (29 + (107 - 84))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101888 and 1374080.\nAnswer: 1093767680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 624552.5us?\nAnswer: 624.5525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38052539 to the nearest integer?\nAnswer: 6169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 5. Determine i(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 687 - 693.94. Round v to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*33\/(-3*1). Let j(i) = -i**3 - 10*i**2 + 9*i - 16. Let y be j(d). What is the highest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 6. Let y(f) be the first derivative of 0*f**2 + 0*f**c + 1\/4*f**4 - 3 - f. What is the first derivative of y(m) wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -37 and -917 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 2*q**2 + q**2 + q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*z - 283 = -1244*z + 563 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/6 + (-44)\/33. Solve -4*y + 19 = -d, -f*d - 18 = -5*d - 3*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 1665*d**2 - 235125*d + 1134375.\nAnswer: -3*(d - 275)**2*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b - 2. Let l be h(2). Calculate the common denominator of 4\/(-18) + (-317)\/l and ((280\/(-45))\/(-4))\/(44\/11 + -7).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmsshm. What is prob of picking 1 h and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s**2 - s + 37. What are the prime factors of h(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 1\/3, -1\/4, -0.01, -2\/11, -2228\/7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3101 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55479 divided by -5352.\nAnswer: 18493\/1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v + 137. Let u be b(19). Determine o so that -14\/9*o**2 + 14\/9*o**u + 4\/9*o - 4\/9*o**3 + 0 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 5. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 224.5. Let u = x + 3.4999743. What is u rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 - 5*w - 3. Let k(m) = 2*m**2 - 9*m + 2. Let p(v) = -v**2 + 5*v - 1. Let s(o) = 6*k(o) + 11*p(o). Suppose -5 = 2*d - 7. Give d*q(b) + 4*s(b).\nAnswer: -3*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115129 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 20, 46, 82, 128, 184?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 - -242. Let o = u + 117. What is the greatest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let m(a) = -820*a - 3. Determine m(k(d)).\nAnswer: -820*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 0.1 (c) -1 (d) 1\/36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 13 = 2*u + 4, 3*l + 4*u = 3. Factor -3 + c**4 - 1 + 2*c - 2*c**4 + l - 2*c**3.\nAnswer: -(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1679, -1674, -1707, -1796, -1959, -2214, -2579, -3072?\n\"Answer: -3*t**3 - t**2 + 29*t - 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 9747?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105417019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 7*p**2 + 7*p - 6. Give y(-7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 496701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + -1 + (5 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.446206ug?\nAnswer: 8446.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*p**4 - 2 + 5*p + 2*p**2 + 0*p + p + 2*p**3 - 63*p**4 + 0*p**3 to l + t*p + g*p**3 + d*p**4 + u*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 3. Let z be 3 + (-2)\/4*2. Let x(u) = 3*u + 5. Let y(r) = z*x(r) + 5*g(r). Let c be y(7). Solve w - 1 - c = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (2 + -16 + 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181 - -238. What is the remainder when 236 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 52.\nAnswer: -9\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) - 6*(-5)\/200?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2567 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 164301455147501?\nAnswer: 164301455147500.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 63422*w**3 - 3428682*w**2 + 61549010*w - 367203400 = 0.\nAnswer: -31765, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-6) - ((-92)\/(-24) + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267087 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from ttetkttkkkekkkktte?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10146, -20440, -30734, -41028, -51322, -61616?\n\"Answer: -10294*p + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 18 + 7*q**2 - 31 - 3*q**3 in the form f*q**3 + l*q + z*q**2 + t and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 188, -4, -58 in descending order.\nAnswer: 188, 112, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.8, 1722, -4\/9.\nAnswer: -3, -4\/9, 1.8, 1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/2 + 9940*y**2 + 119307*y\/2 + 89487 = 0 for y.\nAnswer: -3, 19886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/1627951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -275. Calculate the common denominator of ((-11)\/33)\/(4\/r) and -25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a51a85 + 2?\nAnswer: 24a51a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70\/13 - -355\/78. Let b be (-96)\/(-54)*(-3)\/4*12. Calculate the common denominator of d and (b\/(-112))\/(36\/1442).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -151*o**8\/168 - 431*o**5\/30 - o**3\/3 + 137*o**2 + 1. What is the third derivative of r(q) wrt q?\nAnswer: -18120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*o - 652 - 1316, 0 = l + 5*o - 1008. Solve -981*t = -l*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15975*d. Let p(f) = 7*f. What is g(m) + 2130*p(m)?\nAnswer: -1065*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1010100001011110101?\nAnswer: -1010100001011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/1 + (20 - 6). Let v(t) = -2 + t - 5 - 1. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 8023*u - 159669. Determine f(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -73 + 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((2 + sqrt(343))*-3 + sqrt(343) - sqrt(343))*-2 + (sqrt(448) + 2 - sqrt(343)*-4)))**2.\nAnswer: 34944*sqrt(7) + 684544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 - 10*o - 4. Let m be q(-5). Calculate the greatest common divisor of 168 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.8695 rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 + v**3 + (3 + 1 - 3)*(-7*v**3 + 2*v**3 + 2*v**3))*(-9 + 9 + 6*v).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 42. Let v be ((1120\/(-16))\/(-7))\/((-4)\/(-2)). Calculate f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-24) + 7\/4. Let p(g) be the second derivative of 0 + 1\/8*g**3 + 1\/48*g**4 + 1\/4*g**q - g. Find b such that p(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 15*o + 5. What is the tens digit of g(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 4 + 2 - 2. Suppose 0 = 2*m - o - 16, -m - o = -8 + 6. Determine f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3393 and 2131389.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 1, -w = 5*f - 33. Let h be (144\/56)\/(f\/28). Solve -2*m - 2*m = -h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20190\/25*20000\/(-36)*-6. Round v to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-136))\/(6\/88).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 5. Let x(h) = 5 - h**d + 16*h - 7*h - 8*h. Suppose -k + 21 = 5*f - 3, -2*k = -5*f + 12. Give x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -34 + 22, 0 = 5*w + p - 24. Solve 5*z - 3*f + 40 = 0, z - w*f + 30 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 48. Suppose v*u = -4*y + 20, -5*u + u + 20 = y. Suppose 106 = 2*o + 4*k, 3*o - 3*k + u*k = 155. Calculate the remainder when o is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v - 4*v)*(v**3 + 0*v**3 - 2*v**3) - v + 2*v**4 + v - v**4 + 0*v**4 + 2*v**4 + 301*v**2 - 28*v**4 - 301*v**2.\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126234?\nAnswer: 2, 3, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117512*m**4 + m**2 + 14*m - 6404396?\nAnswer: 470048*m**3 + 2*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92260, -184451, -276642, -368833?\nAnswer: -461024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z = -29*z - 5. Let w(a) = a**3 + 4*a**2 - 6*a. Determine w(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.6 - 5. What is the closest to 0 in o, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 13044150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3b85 (base 16) to base 8\nAnswer: 35605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21050 by -10.\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/347205849?\nAnswer: -8\/347205849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let s be x(-3). Suppose 3*a + 2*l = -104, 55*l - 72 = 2*a + 59*l. What is the tens digit of (s\/5)\/(a\/(-1105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -190121, -190111, -190101?\n\"Answer: 10*g - 190131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(15\/8))*n)**(-2\/11) assuming n is positive.\nAnswer: n**(-23\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(((b**(-11)\/b)\/b)\/b))**40)**15)**(-40) assuming b is positive.\nAnswer: b**(-360000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3 + 10*a**2 + 0 - 1\/6*a**4 - 12*a. Solve w(m) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55154 divided by -2398?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1be (base 15) to base 14.\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.386 + 2.086. What is the closest to 1\/15 in 0.1, 1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696684.6 litres to millilitres.\nAnswer: 696684600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3039\/496 - 2\/31. Calculate the common denominator of 143\/12 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78+15986565\nAnswer: 15986487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 58?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279956 or 279961?\nAnswer: 279956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 672.09064 - 672. Let a = g + -0.09. Round a to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 25 - 9514*v + 26 - 7211*v to b + s*v and give s.\nAnswer: -16725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1033.65, 3, 4, -0.3, -4?\nAnswer: 1033.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 - 5*m**2 - 136349 - 8*m**2 + 12*m**3.\nAnswer: 12*m**3 - 136349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15011123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2553, -5335, -8113, -10887, -13657, -16423?\n\"Answer: 2*j**2 - 2788*j + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05508 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17922, 35819, 53716, 71613, 89510?\n\"Answer: 17897*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*d + 792, 792 = 3*l - 0*d + d. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 1732*n - 40057. What is r(24)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2. Let c(v) = 9*v**2. Let g(i) = i**2 + 8*i + 1. Let l be g(-8). Let z = 349 + -351. What is l*c(n) + z*j(n)?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291 - -422. Suppose q + 4*k = 79 + 61, -k = q - t. What is the remainder when q is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91504 is divided by 3657.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from issisgsssssssis. Give prob of sequence gsis.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: d4000 (base 15) to base 12\nAnswer: 284809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = 3*h. Suppose h*x + 3499990 = -5*v, 4*v = 3*x + 9*v + 2099990. Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 75 = 3*x, 6*m = 3*m - 4*x + 76. Let c = -23 + m. Let s = 7 - c. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 162 = 4*q, 5*o - 4*q + 119368 = 119526 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 - 29*f - 15. What is p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**3 - 11*i**2 + 6*i. Suppose 56*w = 51*w + 35. Let y(f) = -8*f**3 + 12*f**2 - 7*f. Give w*b(l) + 6*y(l).\nAnswer: l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2*l - 143*j**2*n**3 - 37*j**2*n**2 - 2*j*l*n**3 + j*l*n - 2*j*l + l*n**3 + 21*l*n + 10 wrt j.\nAnswer: -6*l - 286*n**3 - 74*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6649 is divided by 125.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122637.\nAnswer: 3, 40879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 35. Suppose -y - 3*y + 2*u = 14, -h = 2*y - 5*u. Let m(j) = -42 + 5*j + 22 + 21. Calculate m(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 8. Let x = 5 - j. Calculate the greatest common factor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384235378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -169, -371, -643, -1021, -1541, -2239, -3151, -4313?\n\"Answer: -6*m**3 + m**2 - 163*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/60 - ((-26)\/84)\/((-115)\/230)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 40. Let n be l(11). Sort -8, 5, n in increasing order.\nAnswer: -8, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 16448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 2. Suppose 12 = z - 2*z + 5*w, 0 = -a*z - 4*w + 24. List the prime factors of 0 - (z - 0 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1124704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 891 = 125*k + 19 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 12. Let r = -384 + 378. Let y be r\/4*(441\/27 - 13). Calculate q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 8}. Give prob of picking 3 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 5 + 3\/10*d**2 - 1\/15*d**3 - 2\/5*d. Factor s(u).\nAnswer: -(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -0.13\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 63\/(-12). Suppose 0 = -2*r - 4, 5*r - s = -i - 2*i. Suppose 1 - i = -4*a. Let l(m) = 4*m. Calculate l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (812\/(-28) + 34)*(6947 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2059\/434 - 22\/217. Find the common denominator of o and -95\/3444.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -993*b**2. Let a(d) = -d**2. Calculate s(a(q)).\nAnswer: -993*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5) + -1 - 2 - (-35 + 33 + -82).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Suppose 0 = -2*t + w*t - 2*p - 221, 2*p = t - 71. Suppose 5*z - 140 = t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 25949998 = -5*i, 6*x - 5*x + 20759998 = 4*i. What is i rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - f**2 + 2*f - 1. Let o be w(1). Suppose 0 = 5*s - 0*s + 35. Let g(a) = -a**2 - 7*a. Let q be g(s). Solve -12 = o*d - q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -155. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:14 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(13\/3)*h*h))*h\/((h*h\/(h*h**(1\/29))*h)\/h*h))**(1\/15))**17)**(-4\/17) assuming h is positive.\nAnswer: h**(-1868\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15939490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -362. Suppose a = -3*v - 2*b, -3*v + 4*b = 72 + 41. Let f = v - -142. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**7\/56 + 3*k**5\/40 - k**3\/8 + 17*k. Let q(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12750 and 2431000?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11 - 512*j**3 - 7 + 21*j**2 - 26*j**2 + 183*j**3 - 3*j**2 wrt j?\nAnswer: -1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5410 and 160?\nAnswer: 86560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079895273 to 7 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*o - 353297 + 360721 for o.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4629 = 3*t. Let j be (-28 - (-1111268)\/391) + 2\/(-17). Let m = j - t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + i**3 - 35*i**2 + 20*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 136133?\nAnswer: 136136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 41. Calculate the lowest common multiple of q and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.5, -88, 5, 9 in descending order.\nAnswer: 11, 9, 5, -0.5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - y**2 - 2*y**2)*(2*y + 3*y - 4*y)*(-14 + 5 - 4) + (2*y**3 + 2*y - 2*y)*(4 - 4 + 2) + (2*y - 3*y + 0*y)*(-y**2 + 3*y**2 + 8*y**2).\nAnswer: 33*y**3 + 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24073414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 1. Let t be a(-2). What is the biggest value in -0.2, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 11)*(-8 - -3). Let t(g) = 5 - 2*g - 7 + 1 + u*g**2. Does 6 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21\/4*v**2 + 1\/8*v**4 + 13\/8 + 2*v**3 + 5*v = 0. What is v?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29501, -5 in ascending order.\nAnswer: -29501, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-158)\/10 + 4\/5. Let q = 61 + w. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by 10?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1266930*-391\nAnswer: 495369630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 6*w**2 - 67*w + 205. Let r be g(3). Put 0, -7, 28, r, -2 in descending order.\nAnswer: 28, r, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 2*l - 4*l)*(-6*l + 1 - 1)*(2*l - 3*l - l)*(86 + 13*l - 86) in the form z*l**2 + o*l**3 + k*l + f + q*l**4 and give q.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from {r: 1, z: 6, i: 4, o: 1, m: 4, d: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 3*x**2 - 2. Let n be i(2). Find the third derivative of 0*l**n - 4 - 8*l**3 - 2*l**2 + 4 wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -6.481525?\nAnswer: -6.481525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 717, 744, 771, 798?\n\"Answer: 27*u + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.4504 micrometers in kilometers?\nAnswer: 0.0000008694504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*s - 3*l, 445*s + 6*l = 444*s + 116 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -b5ca?\nAnswer: b5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 3*m + 7. Let w = -19 + 21. Suppose w*s - 34 = 7*t - 3*t, -5*t + s = 35. What is u(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -119*p + 4284. Let l be s(36). Let i(y) be the first derivative of -4\/9*y**3 + l*y**2 + 18 + 2\/15*y**5 + 1\/6*y**4 + 0*y. Factor i(x).\nAnswer: 2*x**2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.446589 to 2 decimal places.\nAnswer: -453.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 4*r**2 - 2*r - 45. Determine h(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 64, -1\/11, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 8*n + 93. Suppose -1513 = 5*c - 1658. What is the remainder when c is divided by l(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 - -129) + (-23 - -1) - 81.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12688 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:19 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 174413 = 154721. Is d a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42988007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/((-18)\/(-4)) + 2. Suppose r = 0, -7 - 7 = -x - m*r. Let t = 27\/2 - x. What is the third biggest value in -0.2, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 l, and 1 e when four letters picked without replacement from {e: 4, z: 5, l: 4, j: 6}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**2 + 4*b - 3. Let l be d(1). Let j = l + -11. Solve -3 = 2*h - j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-5*z**4 + 6*z**4 - 6*z**4).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 1. Let a(p) = -52*p - 24. Let i(n) = -a(n) + 24*u(n). Let k(b) = 8*b**2 - 3. Determine k(i(x)).\nAnswer: 128*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c41 (base 16) in base 10?\nAnswer: -3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/((-4)\/18). Let b = 7 - g. Solve -2*i = b*o, 5*o - 3*i + 2 = -5*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 + 16*s**4 + 12*s**3 - 16*s**2 - 16*s = 0. Calculate s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5736 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 11*k**2 + 67*k - 32. Let n be o(9). Solve 5*a - 31 = -4*c, -5*a - 160 = -n*c - 199 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 + 66 + 36)*(6*z**2 - 2*z**2 - 3*z**2) - z**2 + 2*z**2 + 3*z**2)*(-5*z + 0*z + 2*z).\nAnswer: -345*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 4 - 7 - 3. Let k(r) = -r**2 - 15*r + 118. Let n be k(6). Let a be u(n). What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -342 - -310. Let h = u - -39. Solve -h = 10*j + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 42 = 54. Calculate the smallest common multiple of c and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2. Let d(n) be the first derivative of 7*n**4\/4 - n**3 - 23*n - 23. Let o(l) = 3*a(l) - d(l). Differentiate o(h) with respect to h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 7}. What is prob of sequence zzl?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4778320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(3456\/810)*2\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/4*1*1. Suppose -n + 2 = -2*k - 0, 0 = r*k - 2*n + 4. Factor -343\/3*x**5 - 92\/3*x**2 - 8\/3*x - 637\/3*x**4 + k - 126*x**3.\nAnswer: -x*(x + 1)*(7*x + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-2 - -8))\/((-66)\/(-44)). Factor v*s + 7\/2*s**2 + 1\/2.\nAnswer: (s + 1)*(7*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(176\/(-96)). Is 1 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 1, o: 3}. Give prob of picking 1 m and 1 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = -3*m, 2*x + 4 = 2*m. Let p(i) = 24*i**3 - 2*i**2 + i. What is p(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104076180*m**4*z**3 + 3*m**4 - 4*m**2*z**3 + 8*m**2*z**2 + 3*m**2 + 5*m*z**3 + 8*m - 220*z**2 wrt m.\nAnswer: -2497828320*m*z**3 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.04, -2\/9, -2\/15, -8 in increasing order.\nAnswer: -8, -2\/5, -2\/9, -2\/15, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -4*j, 10*h + 34 = 15*h + 2*j. Let z = -2 - -16. What is the smallest common multiple of h and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12)*(-165)\/(-50))\/((-3)\/(-15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -26*x**2. Let f(a) = -9*a**2. Let y(m) = 8*f(m) - 3*r(m). Let c(z) = -z**2 + 6*z - 6. Let v be c(4). Let g(d) = 0*d + 0*d - v*d. Give y(g(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31030837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499062358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 320 + 290 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1114, 2236, 3368, 4510, 5662?\n\"Answer: 5*k**2 + 1107*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10356521 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*t**4 + 76*t**3 + 100*t**2 = 0. Calculate t.\nAnswer: -1, 0, 25\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qghmqg. What is prob of sequence gqm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = -120. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.33941s in microseconds?\nAnswer: 62339410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 26*u**2 + 328*u. What is the lowest common multiple of 192 and r(-10)?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -14455?\nAnswer: 14452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/4)\/(7\/(-42)). Let w be (-6)\/5*r\/126. Is w at least 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.07476 years to months.\nAnswer: 288.89712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1941137 is divided by 66934.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 - s**4\/12 + s**3\/6 + 12*s**2. What is f(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 225 = 3*v, -6*n + 45 = -5*n + 2*v. Suppose -r + n - 15 = -4*k, 22 = -4*k + 5*r. Which is the third biggest value? (a) -2\/3 (b) 1\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42160575 and 5550?\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -3*d - 213 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46639316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/5 - 970252*f\/5 - 1940512\/5 = 0?\nAnswer: -2, 485128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25982 and 5499917.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from {v: 5, n: 3, p: 5}?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 40. Suppose -6*d + m = 2*d. What is the least common multiple of d and -18*(-2 + 2 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145.66 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*u - 4 = -2*l, 4*l = -4*u - 4. Let j(v) = -v**3 + 2*v**2 + 4*v. Give j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561495 and 29880.\nAnswer: 13475880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1087695*s**2. Let j(f) = 3*f**2. Give o(j(w)).\nAnswer: -9789255*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*x + 581*x - 2*q = -18, -3*x = 4*q - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 24 = -8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72939 - -72993. Suppose 2*s + 11 = 35. Calculate the lowest common multiple of y and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441\/12 + -173 + (-39962)\/(-232).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201393947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2 + 22*a - 5*a**2 - 20*a + 14*a**2 wrt a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/(-19) - 1*-1. Let r be q\/3*(-3)\/2. Let i be ((-6)\/2 + -89)\/r. Calculate the greatest common factor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6123 or 177540\/29?\nAnswer: 177540\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -41*g**2 + 31*g + 6. Let t(s) = 40*s**2 - 30*s - 7. Let u(z) = 4*i(z) + 5*t(z). Is 23 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((6*((-5*sqrt(196)*-1 - sqrt(196)) + sqrt(196)))\/(sqrt(448)*1 - sqrt(448) - (sqrt(7) - sqrt(224)\/sqrt(2))))**2.\nAnswer: 5600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:10 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 154. Let x = 94 + -55. Calculate the remainder when j is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 5*l - 5*l**2 + 6*l**2 - l to n + h*l + u*l**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let k(o) be the first derivative of o**5\/120 - o**4\/24 + 2*o**3\/3 - 8. Let x(i) be the third derivative of k(i). What is 2*b(h) - 2*x(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79331997 or -79331998?\nAnswer: -79331997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 69 = -3*w, -w = -4*v + 5*v - 13. Suppose 15 = 3*j, -4*l + 3*j + 2*j = 29. Let x be 9\/6*(l + 3). What is the greatest common factor of v and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, 2\/151, -2, 4, -6057 in descending order.\nAnswer: 4, 1\/4, 0.2, 2\/151, -2, -6057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 10. Let z be s(-5). Let h be (3 - 5)*z\/8. Let t be ((-6)\/48)\/(1\/(-8)). Which is the closest to t? (a) h (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.41 in -1.62, 0.5, 6.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.199240096 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1\/6)\/k)\/k)**(6\/17))**17)**(-21) assuming k is positive.\nAnswer: k**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89854, -89857, -89864, -89875, -89890, -89909?\nAnswer: -89932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39077 is divided by 641?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610718 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: Let b = -3140 - -3257. Calculate the smallest common multiple of 24 and b.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85925 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83416, 84780, 86144, 87508?\nAnswer: 88872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + 4326\/(-126))*(2 - (-85)\/(-8))?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 13784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210809 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 817, 864, 919, 982, 1053?\n\"Answer: 4*g**2 + 35*g + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Let k be ((-1)\/l)\/((-2)\/(-72)). Let n = k - -55. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -2.03. Let t = -71 - -74. Sort t, -4, m in increasing order.\nAnswer: -4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 - -157. Let n be (-71 - -194) + (-1 + 2 - p). What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 75 (c) 13 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/110 - 5*h**4\/66 - 8*h**3\/33 - 4*h**2\/11 + 3*h. Find k, given that p(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*j + 1818378 = 0, 3*o = 5*j + 227251 + 1591183. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.269 + -0.11\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 12. Suppose 6*t - 2*t - 4*o = 0, 0 = -q*o. Suppose t = -4*m + 15 + 5. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3197827 is divided by 176.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -594 - 341 - 67 + 2*p to the form q + s*p and give q.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 15}. What is prob of sequence kq?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 10*u - 14. Let n be 20\/3*36\/20. What is the lowest common multiple of 9 and r(n)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-2)\/(-1) - -17. Let x = -12 + g. What is the second biggest value in -0.4, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 277839?\nAnswer: 277836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*-15*(3 + 7\/5). Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-27)\/12)\/(3\/(-136))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 1521.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 - 7*j**3\/3 + 9*j**2\/2 - 11*j. Let q be y(14). Let h(o) = -o**2 + 15*o + 1. List the prime factors of h(q).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 25*i - 1 - 3)*(0 + 4 - 2).\nAnswer: 50*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 1682, 5461, 12734, 24659, 42394, 67097, 99926?\nAnswer: 142039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -200*t**3\/3 + 207*t**2\/2 + t + 19. Is o(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9003, 18076, 27179, 36318, 45499, 54728, 64011?\nAnswer: 73354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let p be (-1)\/4 + (-329)\/28. Let v be (-8)\/(-30) - p\/90. Is a smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 6*n**2 + 5*n**2 + 5*n**2 + 4*n**2 - 6*n**2 + (n - 4*n + 4*n)*(n - 1 + 1) to c + u*n + r*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -23, -52, -101, -176, -283?\n\"Answer: -u**3 - u**2 - 5*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 12) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 3*c**5 - 3*c**5 + (-2 + 2*c + 2)*(-5*c**4 - 3*c**4 - 4*c**4).\nAnswer: -26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*s = -182 + 212, 3*b + 24 = -3*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20315566747 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w - 22 = -0*w, -5*w - 41 = -4*h. Suppose m - 6 = -0*m. What is the remainder when m is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 55 = -5*z, -m - 62 = -4*z - 13. Let v = -9 + z. Solve -v*h - h = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 54. Determine f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 147*m**2 - 7\/6*m**4 + 0*m**3 + 0*m + 0. Let a be -1 + (2 - (1 - 1)). Determine s(a).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than or equal to 206682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/((-75)\/126))\/((-16)\/680). Let g = u - 211. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 12*q + 4. Let x(f) = -2*f. Calculate -b(u) + 5*x(u).\nAnswer: -5*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2335*z - 1169*z + 351 - 1161*z)*(z**3 + 0*z**3 + z**3 + (-z - 1 + 1)*(-3*z**2 - z**2 + 2*z**2) + 2 - 2 + z**3).\nAnswer: 25*z**4 + 1755*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -4 - ((3 - -31) + -22)) + 16 + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i + t - 4*t, 3*i - 3 = 3*t. Which is the fourth biggest value? (a) -0.4 (b) i (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4)\/((-6)\/(-24)). Let o = -6 + r. Which is the third biggest value? (a) o (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by -29\nAnswer: 1098\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let v = -0.15 + 0.05. Which is the nearest to v? (a) -0.5 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 4*b**2 + 8*b. Let m(g) = -g**2 + g + 1. Let x(s) = -m(s) + t(s). Calculate x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 - 9) - (-4 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 3*w - 1. What is r(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 684\/11, 1, 671 in descending order.\nAnswer: 671, 684\/11, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, o: 5}. What is prob of picking 1 o and 3 k?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 0, -46, -132, -270, -472?\n\"Answer: -2*f**3 - 2*f**2 + 2*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 100*n**2 + n - 1. What is the units digit of p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-16 - 5) + 3 + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.0872mg in tonnes?\nAnswer: 0.0000004390872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 43. Let v be a(-17). Suppose 3*w + 3 = 15. Solve -w*h = -4 + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*-2 + (-2*sqrt(396) - sqrt(11)))**2 + 1 + (-2 + 2 + sqrt(1100))**2.\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 1425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 3*d)*(-1 + 5 - 2) - 2*d + 6*d - 41*d - d + 0 + 0 + (d + 5*d - 4*d)*(-2 - 4 + 4).\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:18 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -23*l - 1. Let v be y(-2). Suppose -5*d + 3*f + v = 0, 0*f - 63 = -4*d - 3*f. What is the second derivative of -3 - d*b + 3 + 2*b**2 + 9*b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 30*o**2 + 10*o - 5. Is z(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.717 + 1.157. Let c = d + 10.88. What is c rounded to one dp?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdqfqqffd. Give prob of sequence fdqd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 15. Calculate the greatest common divisor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2.6. Let w = n - 1.33. Put 1, w, -2 in descending order.\nAnswer: 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5987, 5986, 5983, 5978, 5971, 5962, 5951?\nAnswer: 5938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7061, -28290, -63675, -113216, -176913, -254766?\n\"Answer: -7078*n**2 + 5*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2548*g + 2547*g = -5*y + 20, 36*y - 93 = -3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*c**4 - 4*c**2 + 4*c + 6 - 2 + 339*c**4 - 3 as f*c**4 + q*c**3 + u + k*c**2 + r*c and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*y - 9 = -233*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 52*i - 36. Let h(n) = 52*n - 41. Determine 3*h(t) - 4*s(t).\nAnswer: -52*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 - 41*u + 4. What are the prime factors of m(40)?\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -208*z**2 - 1. Let w be b(1). Let n = w + 299. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkz when four letters picked without replacement from kkzzkkkzzzkzk?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 1376 = -7*z. Calculate the common denominator of 0 - -4 - z\/80 and 26\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-14)\/4. Let u = 2180 - 2174. Solve -n*q - u = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -112\/9, 2\/3, -57.11, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 5*w**4\/6 - 2*w**3\/3 - 2*w**2 + 17*w. Calculate the remainder when k(7) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.9 + -16.4. What is the nearest to 275 in 5, -1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283608 and 5076.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-207 - 92 - 107)*(-6 - 2 + 10 + 4*x**3) in the form l*x + s*x**2 + w*x**3 + f and give w.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 750200?\nAnswer: 2250600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016884508 to 6 decimal places.\nAnswer: -0.016885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3536994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -531494?\nAnswer: -53147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -11.\nAnswer: -58\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -75. Let i = -22 + 26. Let z = i - d. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(40\/16 + -8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1871*v - 269 - 36 + 3*v**2 + 1853*v wrt v.\nAnswer: 6*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 12*n + 2 + 8*n + 0.\nAnswer: 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t - 5. Suppose -15*w = -13*w - 10. What is the least common multiple of p(w) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459354023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 172, 327, 480, 631, 780, 927?\n\"Answer: -n**2 + 160*n - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2342 times -0.3?\nAnswer: 0.97026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 43. Let g be z(-13). Suppose -d + 4*u + 150 + 1399 = 0, g*u - 1581 = -d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/8 + 555*l**3\/4 - 134859*l**2\/8 + 744255*l - 10789686.\nAnswer: -3*(l - 149)**2*(l - 36)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314404 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: Let f(h) = h + 1. Calculate f(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {y: 6, l: 10, n: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1039670725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-180))\/(7\/((-245)\/(-14))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -389 * 5\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1081 - 1082. Sort 181, z, 2.\nAnswer: z, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d*d*d*((d\/d**1)\/d)\/d)\/((d\/d**(-1))\/(d*d**(-1\/7))))**(1\/4) assuming d is positive.\nAnswer: d**(3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n**2 - 9 - 19*n**2 - 5*n**4 - n**5)*(3 - 2 - 2).\nAnswer: n**5 + 5*n**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(1224) - sqrt(1224)) - sqrt(1224)*-1*6)\/((3*sqrt(18)\/sqrt(3))\/(sqrt(6)\/(-2*sqrt(2) - sqrt(2)))).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -746, 6052, 0.5?\nAnswer: -746","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -678 times 11729\nAnswer: -7952262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7658628.\nAnswer: 2, 3, 71, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 370*q + 2503. Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10890 is divided by 1552?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615169 and 8561?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 30322784 = 6*j. Let u = j - -11377448. Let z = u + -2126752. What is z rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/3)\/2)\/((-1124)\/35406).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24985806, 5, -0.5 in decreasing order.\nAnswer: 24985806, 5, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2 - 38 = 0. Suppose -14 + 59 = g*m. Solve 0 = o + x - m, 4*o - 5*x = -o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 2*q**2 - 2*q - 7. Let o be i(4). Calculate the common denominator of (428\/110 - 0)\/(116\/o) and 99\/(-1 - (-1 - -4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 536.0649 millimeters?\nAnswer: 536064900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 + 129.15.\nAnswer: 241.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8515361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -131. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3154*p - 1086*p - 942*p - 711*p - 944*p.\nAnswer: -529*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -96. Let k = -4818 + 4826. What is the greatest common factor of h and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + 21. Let a be s\/30 - 1\/2. Solve 5*t + a = 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 426610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let i = u + -8. Let n(q) = -q - 3. Let p be n(i). Solve -4*a = 2*k - 6, 4*a + 1 = 2*k + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2417?\nAnswer: -2416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311 * 0.009151.\nAnswer: 2.845961","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -192, -903, -2098, -3747, -5820, -8287?\n\"Answer: 5*t**3 - 272*t**2 + 70*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31184071.22 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**2 - 8*s**2 + 1 + 12*s**2 - 4*s)*(0 + 1 + 2) + 11*s**2 + 3*s**2 - 7*s**2.\nAnswer: 46*s**2 - 12*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -482 and -19\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 673259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75420 is divided by 10766?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -429882573 and -1.3?\nAnswer: 429882571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 - (294 - 264)) + -1 + 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32313 (base 4) to base 13\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjhjjjjjjjjjee. Give prob of picking 1 h and 2 e.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43146614 is divided by 21573299.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (11 - (-906)\/(-42))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 2*a)*(-11*a**2 + 5*a**2 + 15*a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x - 1. Determine z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((105\/10)\/(-7)))\/(((-3094)\/63)\/34)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100817074 to the power of 1\/2, to the nearest integer?\nAnswer: 10041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 142. Let g(f) = 6*f - 317. Let n(b) = -3*g(b) + 7*w(b). Let h(l) = -l - 11. Calculate -9*h(o) + 2*n(o).\nAnswer: o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -508.85 - -493. Let j = i + 13.2. What is j rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.5 (c) -43 (d) 17\/7 (e) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(12)\/sqrt(4) + sqrt(3)) - sqrt(30))\/sqrt(10))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 20*y - 111. Suppose u + 16 = 3*u - y*b, 4*b = -3*u + 4. Solve -12 = 4*c - u*a, -c - 12 = 4*c - 4*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-12)\/8*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941420947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392942794 by 2691389.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**7\/2520 + 13*q**6\/720 - q**5\/24 - 7*q**4\/24 - 10*q**2. Let j(r) be the second derivative of t(r). Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:51 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 27*u - 4. Let a(k) = -18*k + 3. Determine 7*a(n) + 5*x(n).\nAnswer: 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9721.6595 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(6 - 4 - 3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 4) + (-4 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**8\/1120 - r**6\/144 + r**4\/3 + 6*r. Let h(l) be the third derivative of o(l). Find the second derivative of h(a) wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -22, 1, 11, 102, 3, -5 in descending order.\nAnswer: 102, 20, 11, 3, 1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {a: 2, p: 1, d: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/3))\/h)\/h**(5\/6))\/(h**1*(h\/((h*h**(-2\/5)*h)\/h))\/h)*(h**(4\/3)\/(h*h**(-5)*h))\/(h**(-2\/21)*h\/(h*h**(-3\/4)*h)) assuming h is positive.\nAnswer: h**(1307\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125120287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 12, d: 1, b: 7}.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -3 - 13\/2*l**2 + 0*l + 3\/2*l**3 - 1\/12*l**4. Let j(k) be the second derivative of g(k). Calculate j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-36)*-3)\/(6\/72). Let v be (a*(-4)\/(-40))\/((-1)\/45). Let u(r) = -r - 19. Let b be u(v). Let d(f) = 4*f. Let t(w) = w. Calculate b*d(c) + 2*t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1129 + -784. Let x = -375 - -433. What is the remainder when l is divided by x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245580 and 10020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(432) + (sqrt(432) - (0 + sqrt(432))))*-5)**2 - ((sqrt(432) - (sqrt(432) + (-2 + sqrt(432))**2)) + sqrt(432) + -3)).\nAnswer: -60*sqrt(3) + 11239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/((2 + 4)\/3). Let y = 8 + t. Let c(z) = z**2 - 5*z + 2. Let x be c(5). Solve y*l - 2*v = -l - 18, 5*l = x*v - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 0.5, -0.01, -12?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526764163\/1970 - 267393. What is the common denominator of -63\/394 and a?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*a = 193*a - 192 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -980566031\/2464 + 397957. Find the common denominator of z and -3\/46.\nAnswer: 56672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusuddc. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29406*-0.051.\nAnswer: 1499.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 26*z + 10. Let m(i) = 5*i + 2. Suppose 42 = -5*v - 28. Let d(k) = -k**2 - 14*k - 3. Let f be d(v). Calculate f*w(g) + 16*m(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - q**3 + 25 - 25.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -114*p - 5492. Calculate d(-54).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5350462?\nAnswer: 2, 13, 73, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 920.999182 + -921. What is v rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039839 * -0.4.\nAnswer: 0.0159356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*l + 117, 2*l = 40*z - 45*z + 553. Solve z - 34 = -25*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -243.02. Let w = 389175.1 + -389173.079907. Let y = w + r. Round y to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2. Let o(b) be the first derivative of 664*b**3\/3 + 8973. Give c(o(l)).\nAnswer: 881792*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2 - (26 + -18))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let i(a) = 3*a. Let g(t) = -5*i(t) - 6*w(t). Let f(v) be the second derivative of v**3\/6 + v**2\/2 + 3*v. Give -2*f(r) + g(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 15. Let j be l\/2 - 35\/(-10). Find the first derivative of -j - 2 + 1 + 4 + 2*f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*f = 17, 5*f - 3*f = -5*u + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 2014 - 1598 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((((s\/(s**(1\/20)*s*s))\/s)\/s)\/s)\/s*s)*s)\/s**5*s**(-2\/9)*s*s\/s**(5\/4)*s*s*s)**21 assuming s is positive.\nAnswer: s**(1757\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*j*p**2 - 4*j*p - 3*p**2 - 3 wrt p.\nAnswer: 38*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/((-24)\/(-144))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 28. Let k be c(-22). Let s = -26 + k. What is the nearest to 0.3 in 0.1, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-50)\/15 - -4)*(-1)\/(-2). Put 2\/7, f, 5, 3\/7 in ascending order.\nAnswer: 2\/7, f, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 28794*w. Let y(p) = p. Give y(l(v)).\nAnswer: 28794*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 19. Let g(i) = 3*i - 18. Let d(c) = -3*g(c) + 2*w(c). Suppose 44 = 4*o - 12. Let k be d(o). Solve u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 5. Let j be u(6). Let g = j + -2. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 456 - 909 = 0. Let v be (2\/3)\/((-7)\/z). Suppose -2*t + v = -3*w, -3*t + 4*w - 17 + 55 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.722848*0.9\nAnswer: -0.6505632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648397.\nAnswer: 17, 43, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 763 - 729. Suppose 0*x = 4*x - 808. Calculate the remainder when x is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10424 = 29*u + 4505 - 7479. Calculate the greatest common factor of u and 1056.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*x - 3*x**2 + 94*x - 5*x**3 in the form o*x**3 + g*x**2 + v + z*x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37)\/(1\/(-5 + 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28033*-4\nAnswer: 1.12132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -924, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqz when three letters picked without replacement from zqqqqqqqqqqzzqq.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/5 + 41*f**3\/5 + 21*f**2 + 99*f\/5 + 32\/5.\nAnswer: (f + 1)**3*(3*f + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 4. Let j be f(6). Suppose -5*x + 3*p + j = 0, 16 + 16 = 3*x - 5*p. Suppose 0*c + x*c = 16. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 2748 = 9*h - 3*g, 4*h = -5*g + 2201. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461 - -471. What is the lowest common multiple of -2*(-1 + (-1)\/2) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - -2dfb0d?\nAnswer: 2dfad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 85624 = 15*l. Suppose 7*p - l = -15*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 5*a**2 - 3*a - 1. What is the hundreds digit of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 363339.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65521683?\nAnswer: 3, 59, 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.49, 0.667, 1.6, -0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 5. Let q = 7 - 14. Let h be q\/(14\/8) + 1. Give f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*(-2)\/3. Let i = 20 - q. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 = -5*x + 2, -2*a = x - 5. Suppose -a*f - 3*f = -3*f. Which is smaller: 11\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*t - 2*w + 5*w, 1 = w. Suppose t*v + 294 = -v. Calculate the common denominator of (v\/2)\/1 - (33 - 30) and 145\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7944 * -1627\nAnswer: -1292.4888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*c = -3*h + 856, -5*h + c + 1091 = 0. Let x = -90 + h. Suppose -a - n + x = 0, 4*n + 125 - 21 = a. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -144. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*t + 253*t + 224*t)*(-2 + 1 + 0)*(2*t**2 + t**2 + 0*t + t).\nAnswer: -1791*t**3 - 597*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 + 3 + 2. Let g(p) = -2*p**3 + 12*p**2 - 2*p + 10. Let k be g(f). Let u be (2400000\/9)\/(k\/(-12)). Round u to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105793 - -106207. Round p to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197493?\nAnswer: 11, 108863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + (37 + -30 - 20) + (34 - 1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150725 is divided by 3214?\nAnswer: 2881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**2\/5 + 111*g\/5 + 558\/5 = 0.\nAnswer: -31, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6795*z**2 - 315. Let t(f) = 86*f**2 - 4. Determine -4*c(s) + 315*t(s).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m. Let s(z) = 4*z**2 - 2*z - 9. Let j(f) = 1313*f**2 - 2*f - 9. Let w(k) = j(k) - s(k). What is d(w(h))?\nAnswer: 5236*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t. Let p be q(-3). Suppose 4*z + p*z - 12 = 0. Find the second derivative of 6*w**3 - 3*w - 6*w**z + w**4 - 3*w**4 wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218739.037739 + -7.\nAnswer: 218732.037739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11328 and 1\/4566?\nAnswer: 8620608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**3 + 11*v**2 - 2*v - 6. Let s(p) = -22*p**3 + 32*p**2 - 6*p - 17. Give 17*g(d) - 6*s(d).\nAnswer: 13*d**3 - 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2\/2 + 3*u + 2. Is 3 a factor of v(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 5*r**2 + 3*r + 2. Give c(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.341 weeks to days.\nAnswer: 6134.387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -77. Let d be (-1)\/1*(0 - 1). Put a, d, 2 in ascending order.\nAnswer: d, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7252 - -1062697340.7?\nAnswer: 1062690088.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) -6\/29 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-687986)\/40326 - ((-62)\/(-66) + -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -802410.\nAnswer: 802410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajojojd. Give prob of picking 1 d and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:27 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-2295))\/(3\/15)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**2 + 55. Let p(t) = -6*t**2. Calculate m(p(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 609 + -619. Let b(a) = a**3 + 5*a**2 - 58*a - 3. Is 11 a factor of b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 12 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14950757 is divided by 2491792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/7 - 740*b**3\/21 + 748*b**2\/7 + 2293. Factor v(p).\nAnswer: -4*p*(p - 2)*(p + 187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -138*o + 4. Is a(-2) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262.6*-40320.\nAnswer: -10588032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10069785 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -24, -18, -12?\n\"Answer: 6*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-27))\/(((-15)\/9)\/(-5))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -3 + sqrt(1300) + sqrt(1300) + -2 - sqrt(1300)*-4*-5)**2 - (-6*-4*(sqrt(1300)*-3 + sqrt(1300))*5)**2.\nAnswer: -74504275 + 1700*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = 3*w - 236, 259*w + 44 = -3*s + 258*w for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10216 + 481 = 231*k + 891 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7)*c*c*c)**(-2\/171))**(1\/5) assuming c is positive.\nAnswer: c**(-52\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -16*w**2 - 4*w + 1. Let q(v) = 17*v**2 + 4*v - 1. What is 4*q(y) + 5*u(y)?\nAnswer: -12*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (2\/1 - 1). Suppose 4*v - p - 3*p = 0, 5*p - 9 = 2*v. Which is the nearest to -2? (a) v (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -54*p**3 + 3*p**2 - 2. What is c(1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 6, -1\/14, 4, -1.1, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -3*-1*sqrt(85) - (-1*sqrt(85) - sqrt(85))*2)\/(sqrt(55)\/(1*sqrt(11)) - sqrt(15)\/sqrt(75)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1271 - -2010. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153612*v**3 + 4*v**2 + 9579?\nAnswer: -921672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 = 27. Suppose i*y = 9 + 56. Suppose -y*u = 73 - 13. Is u greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 28. Let y be r(-6). Solve 3*p + 2*t - 7 = y*p, -2*p + t - 11 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56250 divided by 125.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96759.49 centuries to decades.\nAnswer: 967594.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -d, 4*d + 4 = 2*l + 14. Suppose 2*o = -l*o + 100. Let t be -3 + 5 - (-2 - -1). Solve 2*x = 5*x + 3, -5*x = -t*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 21. Let m(p) be the third derivative of p**6\/360 + 9*p**4\/8 + 12*p**2 + 3*p. Let y(x) be the second derivative of m(x). Give y(a(z)).\nAnswer: -4*z - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2592.47 - -38.\nAnswer: -2554.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**5\/4 - 18093*i**4\/4 - 107883*i**3\/2 - 484461*i**2\/2 - 1935819*i\/4 - 1450953\/4.\nAnswer: -3*(i + 3)**4*(5*i + 5971)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 184, 153, 98, 13, -108, -271?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - j + 5 = 0, -3*f + 5*j - 3 + 34 = 0. Suppose f*x - 4*x + 2*v = -34, 0 = -v. Solve 4*q - q = -5*l + 25, -l + x = 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:53 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.24905 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*f + 77*f**3 - 349*f - 430*f**3.\nAnswer: -353*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3 + sqrt(275)*-2)**2 + sqrt(11) + 3 + 0 + sqrt(121)\/(sqrt(11) + sqrt(11)*5))*-6.\nAnswer: -6672 + 353*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-62545)\/(-42)*356\/20 + 2\/(-12). Calculate the greatest common divisor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 + (12 - -46) - (-19 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6793 = 4*c, -2*c - 2174 = -5*k + 9113. What are the prime factors of k?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*4*9*34\/(-13005)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 540 - 538. Calculate the smallest common multiple of q and (-2)\/(-10) + (-18)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xnnxnxnnnx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/21)*((y\/(y**(1\/3)*y))\/y)\/y*y*y*y*y\/(y\/(y**7\/y))*y\/(y**(-2\/3)\/y*y) assuming y is positive.\nAnswer: y**(194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122012211001 + 120?\nAnswer: -122012210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 225. Suppose z = g - 29. Find the second derivative of -8*t**3 - 157 + g + 16*t wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -404, -893, -1382?\n\"Answer: -489*y + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfuf when four letters picked without replacement from frfuugrfg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 619537.3 litres in millilitres?\nAnswer: 619537300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.2. Let l be (1 - -1)\/(2\/4). Let z be (-12)\/30 - 34\/(-10). What is the nearest to c in l, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10274701 by 1.\nAnswer: -10274701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.507553ml?\nAnswer: 0.001507553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 17*t**2 - 3. Let o be d(17). Let k(h) = -h**2 + 7*h - 4. Let m be k(6). Let n(r) = 4*r - r + 3*r**2 - m*r + r**3 - 2. Calculate n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 16 = -3*r. Let z be (-16)\/(-4) - 48\/r. Find j, given that -10\/7*j - 10\/7*j**2 + 6\/7*j**4 + 10\/7*j**3 + z = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6825.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2879 + 44\/(-1650)*-25. Which is greater: v or -2877?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84072 is divided by 475?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -16. Let t = -29.4 + y. Round t to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1217 + 1216.8. Which is the third smallest value? (a) m (b) 5 (c) 3 (d) 8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 - 52*b**4 + 160*b**3.\nAnswer: 4*b**3*(b - 8)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -9. Let w = 2\/20377 + -20387\/101885. Which is the second smallest value? (a) w (b) 8.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(15\/8)\/c**(-19) assuming c is positive.\nAnswer: c**(167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 166 = 4*l, 0*g + 138 = 3*g - 3*l. Suppose 0*r + r = g. Suppose 0 = -5*c + 25, -3*n - 2*c + r = -c. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.026917 + -5.27375. Let l = 4.87683 + a. Let w = 0.37 + l. What is w rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 377398 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 85 = -5*d, -6*v = -5*v - 5*d - 33. Let i be 2*7 - v\/13. What is the highest common factor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x + 5*x - 5*x)*(-11*x**2 + 36 - 37 - 4*x**2).\nAnswer: 150*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 58*n - 351. Determine j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.2, 2\/9, 25, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 1\/6, -3, -182843 in decreasing order.\nAnswer: 1, 1\/6, -1, -3, -182843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2775 (base 8) in base 3?\nAnswer: -2002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25509 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*2\/15)\/(10\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168518701.\nAnswer: 13, 1531, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, w: 3, t: 3, m: 2, l: 1}. Give prob of sequence wt.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 4436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.015 - 3.015. Let x = 33 - 31. Let t = x + -1.8. Which is the closest to -5\/2? (a) t (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 61*t + 1663 - 1962 = 0, 0 = -4*v - 17*t + 112 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 44\/(-56)) + (-5)\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368736 - 0.1?\nAnswer: -0.468736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 64800?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5)\/((18\/6)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 38 = -3*r, -4*r - m = 4*m - 51. Let x = 0 - -1. What is the remainder when r is divided by 2*((1 - -2) + x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3462243 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 - 116 = -35*q + 58 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 13. Let t(n) = 25*n**2 + 5*n - 2. Let a be t(2). What is the highest common divisor of o and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l**3 - 2*l**2 + l. Let y be v(1). Let m = -18 - y. Which is the nearest to -2\/5? (a) m (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 4 = -14*i. Solve 2*q = -4, 2*q = -i*z + 5*q + 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*u - 93*u + 5*u**2 + 4 - 5 with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1668*r**2 + 13*r - 26*r + 15*r - 2*r.\nAnswer: -1668*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2392131?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - 5 - -4) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let o(d) = -d. Let x(g) = 512*g - 1022*g + 518*g. Let y(c) = 28*o(c) + 4*x(c). What is y(f(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrd. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 2*u)*(0 + 0 + u) - 4*u**2 - 4 - 9*u + 9*u.\nAnswer: -5*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2. Let p(d) be the second derivative of 1021*d**3\/6 - 2*d + 1035. Calculate p(t(v)).\nAnswer: 3063*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*x + 3*x + 1.\nAnswer: 8*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + l - 3*l + 49 = 0, -2*x = -2*l - 36. Suppose -148 = 13*m - x*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105512*h**3 - 20406*h wrt h?\nAnswer: 633072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00205295 rounded to 5 dps?\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -140?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1125 + -1122. Sort m, -26, 5 in ascending order.\nAnswer: -26, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 9:20 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 7 - (132 + -136). Let w be (80\/(-364))\/(36\/(-14)). Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137654207 to the power of 1\/2, to the nearest integer?\nAnswer: 11733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2261 and 947.\nAnswer: 946.7739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -37. Suppose 97 = f*x - 168. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 78\/5 (b) 1\/3 (c) 24\/353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16100*r - 9790. Let s be k(-45). Round s to the nearest one thousand.\nAnswer: 715000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14036 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = -8*z + 21276. What are the prime factors of z?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1886689*g + 5017 - 1886687*g - 5017.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 1 c when three letters picked without replacement from nnncnncnucncccoccnn?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -366*v + 1. Let b be w(-2). Let y = b - 32. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25830 and 20664.\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*b**2 + 218*b**2 + 1 + 1.\nAnswer: 21*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, 4*c = v + 4*v - 2. Suppose -v*r + 0*r = -246. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 - -1.4. Let a = -166 + 169. Let m(p) = p**2 + p - 11. Let r be m(a). Put z, -2\/5, -1\/4, r in increasing order.\nAnswer: -2\/5, -1\/4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 4*a - 2*a - 7*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13696\/19 + 721. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - m - 4, -34 = 2023*g - 2019*g - 5*m for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20216*d*u*w**3 - 53*u*w**3 + 3*u*w - 2*w**3 + 8*w**2 wrt d?\nAnswer: -20216*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50224, 68420, 86616?\n\"Answer: 18196*c + 32028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 - k**4 + 4*k**4)*((7*k - 2*k - 4*k)*(2 + 0 - 1) - k + 6*k - 3*k + (-5 - 2 + 5)*(1 + 2*k - 1)).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 11*j**2 + 7*j - 20. Let s be k(-10). Suppose 2*y - s = 0, 3*y = -m + 5 + 14. Put m, 6, 0 in descending order.\nAnswer: 6, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1622 (base 7) to base 16\nAnswer: 28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = -d. Let z be 8\/(-28) + (-16)\/42. Let b = -2.97 - 0.03. What is the second smallest value in z, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 9*y**2 - 20*y. Let z be r(5). Suppose z = -3*w + 4*j + 9255, j + 3085 = w + 2*j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -953 - -960. What is the nearest to -1\/2 in t, -2\/17, -0.04?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + p + 9. Let r(q) = -q**2 + q - 4. Let f(b) = -5*r(b) - 2*v(b). Calculate f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**2 - 6*n + 3. Let r(h) = -6*h**2 - 2*h + 1. Give 11*r(d) - 4*z(d).\nAnswer: 6*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 1515*j + 23850.\nAnswer: -5*(j - 15)*(j + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t = 74*t - 63. Suppose -11*d = -t*d. Factor -1\/4*v**3 + 1\/4*v + 0*v**2 + d.\nAnswer: -v*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -2. Let h = a - 0.8. Let z = h - 0.07. What is z rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*s = -8, -3*f - 2*f = 5*s - 15. Suppose f*o - 5 - 3 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 5. Let f = 4087 - 4083. Let r(n) = 1. Give f*r(d) - l(d).\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n + 4. Let o(q) = -13*q + 6. Let g(a) = -a**3 + a**2 + 10*a - 7. Let u be g(0). Give u*r(z) + 5*o(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 912*g + 3. Let c(q) = -q + 10024. Calculate c(j(n)).\nAnswer: -912*n + 10021","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 813*h - 2*h**2 + 4*h**2.\nAnswer: 2*h**2 - 813*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 21*b**2 - b - 13. Suppose 121 = -5*r - 4*t, 5*t + 85 = -5*r + 10*t. Determine x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Does 11 divide 190\/t - 7\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199, -138, -47, 74, 225, 406?\n\"Answer: 15*f**2 + 16*f - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34363, 34356, 34351, 34354, 34371, 34408, 34471, 34566?\nAnswer: 34699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(110)*-1)\/sqrt(10) - sqrt(11)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7740\/20*(-1080)\/9720\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 - 922*s**2\/19 - 25324*s\/19.\nAnswer: 2*s*(s - 487)*(s + 26)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200724, 200723, 200722, 200721, 200720, 200719?\n\"Answer: -j + 200725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 74155\nAnswer: -2\/74155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -512.4.\nAnswer: 1024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24636, -24637, -24638, -24639, -24640?\n\"Answer: -l - 24635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 179, 181, 183?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3628464271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 584, 1157, 1732, 2309, 2888, 3469, 4052?\n\"Answer: i**2 + 570*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 1)*(0 - 2 + 1) + 2 + 3 + 4)*((3*n + 2*n - 6*n)*(3*n**3 - n**3 - 3*n**3) + 1 + 2*n**4 - 1).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(((-155)\/31)\/(40\/24))\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1.4, -3\/5, -0.1 in descending order.\nAnswer: 2, 1.4, -0.1, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**8\/112 + r**7\/5 + 11*r**6\/40 - 13*r**5\/10 - 7*r**2 - 20*r. Let i(y) = 0. What is y?\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 12*s**2 + 10*s + 12. Suppose 43*d - 39*d = -32. What is the units digit of z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1239180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -4, 1 in decreasing order.\nAnswer: 79, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:59 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001047 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4 + 0)*-14. Let x = k + -4. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 6*p - 3. What is the remainder when 39 + -2 + -8 + 27 + -6 is divided by h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*a + 21516 = -501*a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 610403440*z + 18629617978191680 = 0 for z.\nAnswer: -61040344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6334 and -4.\nAnswer: -25336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**5 + 7*w**4 - 3*w**3 - 249*w**2 + 2*w.\nAnswer: -240*w**2 + 168*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**3 - 4*l**2 + 4*l - 165. What is the remainder when w(6) is divided by 110?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.83 + 61.13. Which is the third biggest value? (a) 1.6 (b) z (c) -91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13514 is divided by 19\/(-9) - (-36)\/324 - (-110 - 1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/30 - (-1254)\/(-4180).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-167)\/(-5) - ((-114)\/15 + 8). Suppose -b - 9 = -3*h + t, 0 = 4*t. Calculate the highest common factor of 98 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/84*-2*-1. What is the closest to -3\/2 in -1, o, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 583 (b) -5\/3 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53\/3 + 18. Which is the closest to l? (a) 0 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 241062 + 1?\nAnswer: 241063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -89. Let s = 1685 + -1603. Let g = s - p. Put -4, 5, g in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 0.3 (c) 16 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 1 + -1 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 (base 10) in base 4?\nAnswer: -12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 2. Let v(b) = -6*b - 5. Let j(z) = -17*o(z) + 6*v(z). What are the prime factors of j(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + d + 2*d - 3*d. Let s be w(5). Solve -s*l = -2*i + 12, -4*i + 2*i + 2*l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5965, 0.5, -74, -0.4?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22100011202 (base 4) to base 13\nAnswer: 731249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 (base 7) in base 8?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 12?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - 372. List the prime factors of -4*(r\/12 - -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 81 and -59962?\nAnswer: 60043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:04 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5878?\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 93*f**2 + 5*f + 1. Let d(g) = -260*g**2 - 16*g - 2. Calculate -3*d(v) - 8*l(v).\nAnswer: 36*v**2 + 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9))**(7\/3)\/((x*x**1*x*x)\/x)**(-4\/11))\/((x\/x**(-1))**(13\/5)*(x\/x**(-1))**(-9)) assuming x is positive.\nAnswer: x**(23323\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4)*(0*j + 4*j - 5*j) to t + m*j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbslssbssbb. Give prob of picking 4 s.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2580945738 and 0.2044.\nAnswer: -0.0536945738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/20 - 17*a**4\/12 - 17*a**3\/6 - 48*a**2. Does 20 divide d(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 20*l**2 + 1102*l + 3. Let m be c(29). Sort -415, -3, m.\nAnswer: -415, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37611, 75224, 112837, 150450, 188063?\nAnswer: 225676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssyyyssysssssyssys. Give prob of picking 4 y.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21234515 (base 6) in base 16?\nAnswer: -9914f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -31. Suppose s*y - 45*y = 12. Is y at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqnnyynfnffffnqnnn. Give prob of sequence fn.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27484480 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 19*s + 46*s + 0 in the form v*s + b and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 - (-4 - -3) - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*x - 31*x - 20. What is the lowest common multiple of (0 - -3) + (-3 - (3 - x)) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 36. Calculate the remainder when v is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose l = -0*u - u. Let z(b) be the first derivative of b**3\/3 + 3*b**2 - 3*b - 1. What is z(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -683\/5 + 136. Suppose 28*g - 160 = 19*g + 41*g. What is the fourth biggest value in -4.8, -3, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 5\/134, 3\/5, -4.\nAnswer: -4, 5\/134, 0.4, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 984*r**2 + 1000*r**2 - 648*r**2 + 148*r - 149*r + 2 to n*r + y + z*r**2 and give z.\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-5\/4)*u*u**(-3)*(((u\/u**12)\/u)\/u)\/u*u assuming u is positive.\nAnswer: u**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 2 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -241\/77 at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -14. Let y = 6 - 3. What is the remainder when w is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u - u)*(-u**2 + 2 - 2) + (-2 + 2 - 2)*(-2*u**2 - u**3 + 2*u**2) - 3*u**3 - 5*u + 5*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5586*c**3 - 1103*c + 15*c**2 - 5583*c**3 - 16*c**2 to r*c**2 + j*c**3 + q*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*r - 91*r - c, 4*r - 6 - 6 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 5*m - 3. What is the remainder when x(3) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a - 1\/24*a**4 - 1\/2*a**2 - 2 + 1\/6*a**3. Let s(n) be the second derivative of l(n). What is the derivative of s(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j**2 + 80*j**2 - 66*j**2 - 3 - 5 + 3 + 2.\nAnswer: 49*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91024 from -0.2.\nAnswer: 91023.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231 - -230. Which is the closest to o? (a) -0.5 (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c*l**3*n + c*l*n**2 - c*n**2 - 494*c*n + 76*l**3*n**2 + 2*l wrt l.\nAnswer: -114*c*l*n + 456*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - (-14 - 35)) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 - 264 - 15*b**3 + 29*b**3 + 62 - b**3.\nAnswer: 4*b**3 - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 46*o**2 - 15*o)*(5*o**2 + 0*o**2 - 3*o**2).\nAnswer: -92*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1324 divided by -11219.\nAnswer: 1324\/11219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1937 + 3752. Suppose -k - 1124 = -r. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18359, 146362, 493781, 1170320, 2285683, 3949574?\n\"Answer: 18284*h**3 + 4*h**2 + 3*h + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-1\/8)\/h)\/h)\/h)\/h)\/h)**(-7\/5)\/(h**2*h\/(h\/h**7*h)) assuming h is positive.\nAnswer: h**(-33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u - 12. Let d(m) = m + 1. Let q(c) = -8*d(c) - t(c). Let r(h) be the first derivative of 5*h**2\/2 + 5*h + 1. Give 4*q(p) - 3*r(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186648 and 224.\nAnswer: 746592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*b - 32 + 189*b + 12 + 19 to f + w*b and give w.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o - 6. What is r(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s - 0*r - 5*r, -5*r = -s - 17. Let b = 32 - s. Suppose 4*n + h = -3*h + 44, -2*n - 5*h = -b. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-170)\/184*56\/28 - -4 and 20\/3?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1450421*i - 2841. Let o be x(21). Round o to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 14*w**2 + 51*w + 4. Let v = 42 + -35. Suppose x - 9 = v. Calculate the smallest common multiple of x and p(7).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3974, -3937, -3900, -3863, -3826?\nAnswer: -3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 1155, 2609, 4655, 7299, 10547?\nAnswer: 14405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y**5 - 154*y**4 - 94*y**3 + 154*y**2 + 100*y = 0. Calculate y.\nAnswer: -25, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 634009596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 4. Let z(a) = a**2 + 1. Let g be (-1 - 2)\/(4\/4). Let r = 6 + g. Let x(o) = o + 2. Let d be x(r). What is d*z(y) + f(y)?\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 422 + -419. Solve w = f*v, -2*v = v - 2*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*g + 1)*((-g + 2*g + 2*g)*(-2 - 2 + 3) + 3*g - 5*g + 4*g - 2*g + 2*g - 2*g) in the form d*g**2 + a + j*g and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1)*15\/((-270)\/24). Is 18 a factor of (-3634)\/(-69) + y\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13431453 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let k be (11\/3 + i)*-57. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -23, -3 in descending order.\nAnswer: 6, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*y - 362*y - 0*y - 6174 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*f + 22 = 4*f, 0 = 3*i - 3*f - 24. Suppose 3*h = -3*h + i. Sort h, 5, 0 in ascending order.\nAnswer: 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 3*x**2 - x**2 as h*x + n*x**2 + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 11744?\nAnswer: 11747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**3 - 2*l**4 - 6*l - 16*l**2 - 16*l + 30*l + l**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 23\/2*y**4 - 7\/2*y**5 - y - 13\/2*y**2 - 27\/2*y**3.\nAnswer: -y*(y + 1)**3*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -20. Let v(w) = 0*w - 4*w**3 + 1 - 4 + w. Let a = 106 - 102. Let h(g) = 3*g**3 - g + 2. What is a*v(o) + x*h(o)?\nAnswer: 2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 2289\/10. What is the common denominator of -97\/2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.4 (c) 2 (d) -0.01 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 24889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - 1. List the prime factors of g(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 47*l + 24. Let g be k(16). Suppose -333 = g*s - 31*s. Calculate the common denominator of s and -29\/83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at most 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3 - 6*v**2 + 33*v + 36 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 924*l**2 + 943719*l - 942794.\nAnswer: -(l - 613)*(l - 1)*(l + 1538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 17 - (26 + -11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3610 - -1261. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 23.82.\nAnswer: 23.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + u - 3*u)*(2 - 1 - 4) + 2*u - 3 + 3 + 16 + 38 - 55 - 234*u to o + h*u and give h.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**3 - 144*j - 201*j + 346*j.\nAnswer: 15*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7246.\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1316\/235)\/(4\/10). Calculate the highest common divisor of b and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6932, 6877, 6890, 7007, 7264, 7697, 8342?\nAnswer: 9235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 5*q**2 - 28*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 5*v**3 - 3*v**3 + (-2 + 2*v**3 + 2)*(5 + 0 + 1).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q**3\/q)\/q*q)\/q))\/(q\/(q\/((q\/(q**1*q))\/q))))\/(q**(3\/4)*q**(-5\/2))*(q\/(q*q**(-1\/14)))\/q**1*q**(1\/4)*q*q\/q**(-3)*q*q assuming q is positive.\nAnswer: q**(141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.033 (b) -1\/8 (c) -4 (d) -3\/5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1670495, -1670598, -1670769, -1671008?\n\"Answer: -34*f**2 - f - 1670460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5983 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 + -1)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3 = 5*v, v + r - 7 = 5*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 4*g**3 - 7*g**3 + 3*g**3 - g**3 - 3*g**3 + (7*g**3 - 2*g**3 - 3*g**3)*(-2 + 4 - 3) - 16*g**3 - 35 + 35.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnj when three letters picked without replacement from {f: 3, n: 3, j: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0*o**2 + 0 - 1\/12*o**4 + 0*o**3 - 3*o. Let h(j) = -304*j + 153*j + 150*j. Give c(h(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -75*d - 91*d + 159 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3633 divide 370802145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 42 + 36 = -3*l, 3*v - 198 = -3*l. Calculate the remainder when v is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*p - 498 + 498)*(-2 + 1 + 2)*(-74 - 4 - 2 - 6).\nAnswer: -2322*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92\/99 - 10\/9. Put d, -7, -5 in decreasing order.\nAnswer: d, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4467.\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988370919.\nAnswer: 3, 109818991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 7?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 1. Let k = t - -26.3. Put -0.5, -4\/7, k in increasing order.\nAnswer: -4\/7, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o + 2*p + 11, -4*p - 4 = -4*o. Solve 3*s = -4*r + o, 2*s - r - 2*r = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -196 - -196 - 0\/1. Factor p + 1\/2*b**2 + 0*b.\nAnswer: b**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 12*n**2 - 15*n - 4. What is s(13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331*v**2 + 388*v**2 + 663*v**3 + 810*v**3 + 767*v**2 wrt v.\nAnswer: 8838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133080, -132778, -132476, -132174?\nAnswer: -131872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -50, -56, -64, -74?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30492.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -6. Suppose -11 = -5*j - 1. Put j, 4, a in decreasing order.\nAnswer: 4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/7 + 9*r**4\/7 - 45*r**3\/7 + 51*r**2\/7 - 18*r\/7 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120319283989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v - 3*t, -3*v + 4*t = -4*v - 10. Suppose v*m + 70 + 38 = 0. Let o = -2 - m. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3\/4)\/(7\/(-4))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1475, -546 in decreasing order.\nAnswer: 1475, -3, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20889 + 20903. Sort r, 3, -2, -4, -3.\nAnswer: -4, -3, -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1\/3, -26, 2.\nAnswer: -26, -2, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.943 + 1.057. Let q be 1\/4 - 106\/328. Let o = q - -50\/123. What is the third biggest value in d, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {y: 1, d: 2, e: 1, t: 3, a: 1, o: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23315 and -0.6?\nAnswer: 0.13989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**2 + 22001 - 22001.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -6\/11, 2\/7 in descending order.\nAnswer: 5, 2\/7, -0.3, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1072730 + 2?\nAnswer: -1072726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 2. Let g = -15 + 16. Let c be x(g). Suppose 0 = c*v - 4*d - 22, -4*d - 10 = v - 0*d. Solve -b = -3*b - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 207139*c**2 - 321*c - 321. Is t(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 18*v**2 + 18*v + 1. Let l be p(17). Sort 2, l, -2.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -58. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0\/(-1) + 2). Suppose -2*p + 3*t + 29 = 0, f*t - 6 = -0*t. Suppose z + 0*z = p. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/4)\/(2\/(-8)). Let d be 7\/((-28)\/(-9120)) - (0 - -6). Let q = 2302 - d. Is h less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3*y - 3*y + 3*y) + 0*y - y - y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(17\/(-2) - -6). Let f = 0 + 0. Let v = k - f. Calculate the highest common factor of v and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538473 is divided by 12815?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 116 = -4*m, 559*m - 172 = 563*m - 11*x for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5537, 22237, 50023, 88853, 138685, 199477, 271187?\nAnswer: 353773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71365695 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, b: 7, o: 7, w: 2}. Give prob of picking 1 h and 1 w.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 138 = -132 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + 5)) + 1 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose 0 = n*s + 5*m - 19985, 4*s - 8659 = -5*m + 17981. Let r = -53159\/8 + s. Calculate the common denominator of 43\/2 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -10551.\nAnswer: 337632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/66*((-20)\/24)\/5\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228550825913 + -1.\nAnswer: 228550825912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2433\/4496 + -6\/281. Which is the second biggest value? (a) m (b) 3 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9888, 9887, 9886, 9885, 9884, 9883?\n\"Answer: -y + 9889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - y, 5*b + y + 4 - 18 = 0. Let d(r) = 4*r**b - r**2 + 3*r**2. Let s(n) be the second derivative of -n**3\/3 - n. Determine s(d(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-27)*12\/40)\/(44\/55).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 30812?\nAnswer: 30812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b**2 - 209*b - 20. Let t(j) = -9*j**2 + 70*j + 7. Determine 6*l(g) + 17*t(g).\nAnswer: 3*g**2 - 64*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*b + 25*b + 60*b + 6*b)*(b**2 + 2*b**2 - 2*b**2).\nAnswer: 193*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 46*g = 2*h - 18, 2*g - 3 = h. Solve -2 = 3*l + 4, -2*c + h*l = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18911 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354 + 683. Let o = r - 2293\/7. Find d such that 2\/7*d + 6\/7*d**4 - 6\/7*d**2 + 8\/7*d**5 + 0 - o*d**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/88 - (-15)\/18)*3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-1))\/((-30)\/20)*99\/132?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/74, 5161\/2, -3\/4 in decreasing order.\nAnswer: 5161\/2, 0.1, -1\/74, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a + 5*f = -66*a - 96, 0 = -3*f - 18. Solve n + a = 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 - 2*x - 7. Let a be l(-6). Suppose -6 - 3 = -b - a*d, 5*b = 5*d + 75. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 343563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 276 - 261, 3*w - l - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1 (c) -109\/2 (d) 0.21 (e) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 1\/3, 20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14368848 divided by -6?\nAnswer: -2394808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -531745, -1063485, -1595223, -2126959, -2658693, -3190425, -3722155?\n\"Answer: z**2 - 531743*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 20298557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.64 - 64.64. Let a = -4 + 3.97. Let u = 0.97 - a. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 2, 0 in increasing order.\nAnswer: 0, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -105. Let g = j + -54. Which is smaller: g or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 - 8 = t, x = t + 4. What is the tens digit of 355 + (-5 - (x - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 9*y**5 - 60*y**4 + 117*y**3 - 18*y**2 - 132*y + 72 = 0.\nAnswer: -1, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -77609 times -0.1?\nAnswer: 7760.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*6\/(-12)*2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2565 divided by 57\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, -5, 0, 68, -333 in decreasing order.\nAnswer: 68, 5, 1, 0, -1, -5, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -27500.\nAnswer: 1\/13750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-4)\/1936*-22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5484 by 254.\nAnswer: 2742\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 872590, 872573, 872546, 872509, 872462, 872405?\n\"Answer: -5*g**2 - 2*g + 872597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 9 - (61 - 29)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6843252 divided by 13?\nAnswer: -526404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 11 + 15)*(-s + 2*s + 2*s) as i*s + j and give i.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, 1 b, and 1 n when four letters picked without replacement from qllbfffnfblfbfq?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let z(r) = -117*r. Give z(b(x)).\nAnswer: 117*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-45) + 12 + (-288)\/(-162)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2869465 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 629 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6 + 9*y + y**3 + 71*y - 2*y**2 + 33*y to g*y**2 + x*y + r*y**3 + l and give x.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5223 or -5224?\nAnswer: -5224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((95\/(-120))\/(-19))\/((-5)\/(-15))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2646)*-1)\/sqrt(2))\/(sqrt(9) + (sqrt(9) - -3*1*sqrt(9)) + -2*sqrt(36) + sqrt(9)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3018 divided by 1.\nAnswer: -3018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1784 and 44377.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 136. Let k = 17.52 + -110.15. Let v = o + k. Round v to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 4*w - 13. Let j(r) = -2*r**2 - 41*r + 68. What is the remainder when z(-8) is divided by j(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p\/(p**(6\/7)*p)*p)\/p))\/p))\/(p*p*(p\/(p\/p**(-5)))\/p*p*p) assuming p is positive.\nAnswer: p**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 112. Suppose 40 = 2*y - w. Round y to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9, f - 4*s - 5 - 67 = 0. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641781699?\nAnswer: 3, 13, 16455941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 3*h - 9 = 0, -10 = 2*d - 4*h. What is the second biggest value in 2\/5, 7, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/33 and 25\/571698.\nAnswer: 6288678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4955888?\nAnswer: 2, 7, 44249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99840 by 120.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 - 3 = -4*s, 5*s - 7 = 3*r. Suppose 4*k - 5*m - 26 - 1 = 0, -4*k + 18 = -2*m. Solve y = -k + r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/92?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38863510 a multiple of 2630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 176. Suppose -5*z + z = -a. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18\/11 (b) -5997 (c) 3\/26 (d) 4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5369, 12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30374 and 17\/1110.\nAnswer: 16857570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1320 + -1314.39. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, -8\/45, -0.16, 0.24 in ascending order.\nAnswer: -8\/45, -0.16, 0.2, 0.24, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 16. Let r(n) = n**2 + 2*n - 3. Let a be r(2). What is the least common multiple of 12 and g(a)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 49 = 12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.268848 nanometers?\nAnswer: 0.0000000268848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/50 - -3\/25. Let d be (-1)\/((-72896)\/(-36428) + -2) + 0. Let r = d + 917. Calculate the common denominator of r and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -980.7765*-2\nAnswer: 1961.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456 - 404. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3\/3 + 306014*l**2\/3 + 5853015016*l\/3 + 2926278002 = 0.\nAnswer: -38251, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 35826 + 18903 + 0*q**2 - 4*q**2.\nAnswer: -q**2 + 54729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 31*o**2 + 58*o + 26. Let a be f(-29). Suppose i = -3*n + 132, i + a + 112 = 3*n. Calculate the least common multiple of 8 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 10*u - 15. Let d = 1 + -6. Let r be t(d). Suppose 2*j + 3*j - 5*f - r = 0, -j + 4*f + 13 = 0. Solve 4*b + b - j = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-34)\/(-8) + (-13)\/36. Let c = -1379\/9 - -153. What is the fourth smallest value in c, 3\/7, t, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(170)*-3 - sqrt(170))\/sqrt(10).\nAnswer: -13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 7*s - 6. Let z be d(-6). Suppose -2533 - 1163 = -22*y. What is the highest common factor of z and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, e: 1}. Give prob of sequence jjjj.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*k - 26 = 0, 3*k + 12 + 0 = 0. What is the units digit of (-136)\/(-14) - o\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1377 and 408221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102203020 + 211?\nAnswer: 102203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 587*c + c**2 - 8*c**2.\nAnswer: -3*c**2 + 587*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 33962*l. Let w(i) = i**2. What is p(w(h))?\nAnswer: -h**4 + 33962*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94783, -189594, -284405, -379216, -474027?\nAnswer: -568838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1848? (a) -5 (b) -2\/7 (c) -4 (d) -5\/3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 22 + 0\/(-2). Let s = 33 - w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3251588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*u + 60, 4*u - 2 = -3*g - 15. Let x(j) be the third derivative of 0*j - 1\/3*j**3 + 0*j**4 - 1\/60*j**g + 0 + 1\/120*j**6 - 49*j**2. Calculate x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-44)*(v*(v**7*v)\/v)\/v**(-6))\/(v**7\/(v*v\/((v**(4\/7)\/v)\/v))*v**(2\/9)*v**(-2\/9)) assuming v is positive.\nAnswer: v**(381\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 917223, 916897, 916571, 916245?\nAnswer: 915919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -7. Suppose 0 = -5*t + t + i. What is the remainder when 8 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 18. Let j be c\/3*2\/(-4). Solve -7*y - 8 = -j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/857480 and 23\/1279624?\nAnswer: 83175560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 40.369\nAnswer: -8.47749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1412.91 and 8.\nAnswer: -11303.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*(17\/(289\/(-17)))\/((-1)\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41878956907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**4 - 129*w**3 + 129*w**3)*(-2*w + 3*w + 0*w) + (12*w**3 - 7*w**3 - 13*w**3)*(-1 + 1 - 2*w**2).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r**2 + 3416*r - 10347. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361114 a multiple of 1446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 87.8. What is n rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268 + -234. Find the first derivative of 33*o + 25 - q*o + 50 wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143268 + 239703. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -25205*l**5\/3 + 664063*l**4\/6 + 398120*l**3\/3 + 114400*l**2\/3 = 0.\nAnswer: -40\/71, 0, 143\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**3 + 44*z**2 - 48*z = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6410 - 276946.3\nAnswer: -283356.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3 (c) -22381\/4 (d) -4\/9 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79513770.61829 - -5.9?\nAnswer: 79513776.51829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-12)*12\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1568700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 - 32 - 3*m - 9*m + 13*m**2 + m**3. Is s(-13) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-600)\/(-96).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2ad1c8 (base 14) to base 7\nAnswer: -15500041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -514\/35?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**2 - 9*r + 5. Let b(w) = -5*w**2 - 4*w + 2. Let x(m) = -m**2 - 3*m + 5. Let h be x(-3). Determine h*b(k) - 2*z(k).\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 624.9375 decades?\nAnswer: 6249.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 10*f + 7. Let r be d(10). Suppose r*n = -58 + 345. Calculate the highest common divisor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*v + 558*v - 2550. Solve -81*p + 10 = -80*p + 4*o, -3*p = v*o - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -63*o - 556. Let j be n(-9). Let h be -5702*2\/(-28) - (-8)\/(-28). Calculate the greatest common divisor of j and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(-3*(sqrt(468) + 0 + sqrt(468)))**2 - (-3*(sqrt(468) - (sqrt(468) + 2 - sqrt(468) - sqrt(468)))*-3)**2).\nAnswer: -7776*sqrt(13) + 236520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798219?\nAnswer: 3, 31, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1143 and 3556.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxwx when four letters picked without replacement from xxwxiiiwwqi.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-316)\/553 + 11\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3862848 and 0.14.\nAnswer: -3862847.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 2*x - 4. Let p(k) = -3*k**2 + 3*k - 8. Let c(h) = -5*b(h) + 3*p(h). Let t be c(-6). Calculate the highest common divisor of 57 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1\/3, 5, 1339756, -2\/5?\nAnswer: 1339756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001111011 + -10001000111?\nAnswer: 1100000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6157 and 655?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/11 - 9876*k**3\/11 - 7549006*k**2\/11 + 48740351232*k\/11 + 48713029787648\/11 = 0. What is k?\nAnswer: -1307, 3776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347646 by 26742.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 2. Let i be j(2). Let y be 45\/i + (-3)\/12. Solve y = -4*k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (756\/(-1152))\/21*20*-4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1440 and 9.37?\nAnswer: -13492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12*-3*6\/48*(-32)\/336\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1414 divide 3944066339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - (-8)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 1073.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeiiieiiiei. What is prob of sequence ie?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.405 - 176.595. Let v = t - -176.99999803. What is v rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(176))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezez when four letters picked without replacement from {e: 6, z: 12}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12737.\nAnswer: 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00041513 to five decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -0.4258, 2.8 in descending order.\nAnswer: 2.8, -0.4258, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8. Suppose 105 = 4*u + 5*c, -37 = 3*u + 4*c - 116. Let b = 41 - u. Solve 4*s = b - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*x - 18, 0 = -4*w - 2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 16*m. Let x(q) = -562*q**2 + 1135*q**2 - 572*q**2. What is l(x(n))?\nAnswer: 4*n**4 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1220*z**3 + 2*z**2 + 5*z - 6. Let o be v(1). Let u = -1962 - o. Let y be (-4)\/(-26) - u\/(-13). What is y rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16058*y + 4 + 8 - 12 - 17053*y + 33105*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153771643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/28)\/(((-16750)\/(-350))\/(-67)))\/(2\/100)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 2. Suppose -v = 5*w - 28. Solve -2*d + 9*b = 4*b + 21, w*d + 21 = 2*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3959\/12 or 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -258692*b**2. Let w(a) = a**2. Calculate q(w(c)).\nAnswer: -258692*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*y + 2986 = 0, 2*h - 2*y = -h + 2257. What are the prime factors of h?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12334601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/3)*n**5)**(7\/2) assuming n is positive.\nAnswer: n**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155*a**3*k*v + 7523*a**3*v**3 - a**2*v**3 + 2*a**2*v + 20316*a**2 + 3*k*v**3 + k*v**2 wrt a?\nAnswer: 930*k*v + 45138*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -26*j**4 + 736*j**3 + 686*j**2 - 4804*j + 1392 = 0.\nAnswer: -3, 4\/13, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299512, -1299524, -1299542, -1299566, -1299596, -1299632, -1299674?\nAnswer: -1299722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 10. Let w = 211 - 212.044. Let g = -0.044 - w. Do g and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + (20 - 88) - (-1 - (1 + 15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l. Let t be -12*((-15)\/(-40) + 26\/(-48)). Solve g + t*g = l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from szsszszzsszzsszzszzs.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -14. Let h = d - 8. What is the third biggest value in h, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 4*n - 3. Let a be q(-5). Suppose -o = a*o. Suppose -4*l - 2*c + 7*c = -140, o = -5*l + c + 154. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115744747.\nAnswer: 5297, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (3 - 1))\/((-14)\/(-14)). List the prime factors of (5\/2)\/(((-3)\/(-86))\/k).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -14, -45, -110, -221, -390, -629, -950?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -311, 213, 1635, 4405, 8973, 15789, 25303?\n\"Answer: 75*w**3 - w**2 + 2*w - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let p(z) = 4*z - 2. Let x(l) = 75*l - 45. Let w(t) = -45*p(t) + 2*x(t). Calculate w(f(u)).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4\/3, 5, 2\/3, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 29*s**2 - 28*s**2 - 16*s + 3*s**3 - 13 - 7 - 14*s**2. Let f be r(12). What is f rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/115310 and 199\/390.\nAnswer: 345930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 4 - f**2 + f**3 + 5 + (0 - 1 - 2)*(-f**3 + f**3 + 2*f**3) + 4*f**3 - 4*f**3 - f**3 + 3*f - 2*f**3 - 3*f.\nAnswer: -8*f**3 - f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-21)\/(-70)). Suppose -2*w = w - 2*k - 257, -4*w = -b*k - 331. Let g = w - 32. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 324*i + 323*i + 0 + 79 = 0, 70*i = 5*o + 9*i + 278 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 9*d + 3. Let t(n) = 7*n**2 - 10*n + 2. Let m(w) = -2*t(w) + 3*u(w). Calculate m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28175, -112664, -253465, -450578?\n\"Answer: -28156*r**2 - 21*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 34*r + 340. Let v(y) = 2. Let b(c) = 2*m(c) - 340*v(c). Is b(2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + -119005.35\nAnswer: -119006.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -388261 != -388142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2 - 5730*k - 11472 = 0.\nAnswer: -2, 1912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 70*i**2 - 1688*i - 263. Let r be d(89). Let j be (9\/6)\/((-3)\/(-80)). Suppose -2*p + j = -0*p. Solve -r*q - z = 25, 5*z = -5*q + 6*z - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 478 + -473. What is the remainder when 64 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 2*j + 8870, -4*j + 1774 = f. Suppose -f = -5*c + 9811. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-6) - 548878\/(-183)?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11. Let t = 39\/5 + -151\/20. Let t*v + f + 1\/4*v**2 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1064165 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7563922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.0284 (c) 22 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*(-5 + 6). Let a(o) = -25*o**2 - 1. Suppose 53 = -5*f - 3*x, 3*f - x - 2*x = -27. Calculate the common denominator of f and a(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 - 181. Let u be n + 24\/(12\/4). Solve w - 5*k = -5, -u = -2*w + w - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 + 479. Put -2, p, 3, -1 in ascending order.\nAnswer: -2, -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let u(o) = -o**2 + o + 19. Let q be u(5). Let v(g) = -6*g + 1. Let l(y) = q*p(y) + v(y). Let r(k) = 3*k. Give l(r(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*n + 1218*n + 711*n + 56472 = 0 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a40 (base 14) to base 11.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 22*x**2 + 296*x\/3.\nAnswer: -2*x*(x - 4)*(x + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 11*s**3\/3 + s**2\/2 + 3. List the prime factors of a(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 3, t: 3, c: 6}. What is prob of sequence cce?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 15 + 3 + -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)*o)\/(o\/o**(1\/6))*((o**(-2)\/o)\/o)**(-49) assuming o is positive.\nAnswer: o**(1123\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1637, 263, -1111?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Let q = 831 + -825. Let r(f) = 23*f**2 + 17*f + 17. Let h(z) = 1 + 8*z**2 + 4 + 1 + 6*z. Let y(a) = q*r(a) - 17*h(a). Determine y(j(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4\/b**(1\/6)*b*b**(-1\/4)*b*b**(2\/5) assuming b is positive.\nAnswer: b**(359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 21618?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 67975\/(-15))\/(4\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 176183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1079 - -1079. Sort -4, l, 3, 124.\nAnswer: -4, l, 3, 124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**2. Let f(t) = -3*t + 9*t - 5*t. Give f(j(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o**2 - 260*o - 1349. What is u(-17)?\nAnswer: -1553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) -1\/11 (c) 1 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 2509868?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -22 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986988247 to the nearest integer?\nAnswer: 31416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18946, -1792 in decreasing order.\nAnswer: 18946, 5, -1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 112065723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 59230*g - 9952748.\nAnswer: -2*(g + 169)*(g + 29446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270348?\nAnswer: 2, 3, 13, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 148\/120 + (-69)\/(-690). Let s = -0.36 + 0.06. Let w = s + 0.5. What is the smallest value in w, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.83 + -28. Let b = o + 0.377. What is b rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*n - 40, -34*g = -7*n - 39*g + 95. Let d = 74 + -29. Calculate the greatest common factor of n and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:05 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188001463 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 23*n**2 - 22*n - 4. Let a be h(22). Let d(j) = 5*j**2 - 1. What is the remainder when (-505)\/(-35) - a\/7 is divided by d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182342, 182353, 182364, 182375, 182386?\nAnswer: 182397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162\/305 + -8\/61. Find the common denominator of i and ((-2)\/(-20))\/((-16)\/2020).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let b(q) = -995677*q**2. Give b(k(t)).\nAnswer: -995677*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - -32?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*u + 5 = -7*u, 2*u + 50 = 4*r. Let i = r - 11. Suppose i*g = 3*g + o + 11, 3*o = -5*g + 47. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 118 + 300 - 214 = 6*i + c, 110 = -i + 4*c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((147\/28)\/(-7))\/(-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 522\/24 - 6\/(-16)*66\/99.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3\/3 - 2*p + 17. What is f(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 121 - l**2 - 60*l**3 - 4*l**3.\nAnswer: -64*l**3 - 2*l**2 - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + -4 - (6 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -32002542?\nAnswer: -32002555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 + 3 = 0. Let o = -42 + 47. Calculate the remainder when 2 is divided by y - (-3 + o + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58403, 58401, 58405, 58415, 58431, 58453, 58481?\nAnswer: 58515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-63) - -10 - (0 + 7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -44, -6, 3, -3 in increasing order.\nAnswer: -44, -6, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 40*p - 128. What is g(43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + r**2 + 3*r**2 - 1 - 2*r - 6*r**2 to z*r + u*r**2 + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 96.38563 millennia?\nAnswer: 1156627.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06546 + 0.06546. What is the nearest to -0.1 in 0.5, 5, a, -6\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 79581*m - 2*m**2 + 159102*m - 79521*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 141.45, 0.06, -2, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0739494 from 2465257.\nAnswer: 2465257.0739494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 2. Let o be k(0). Suppose 7*u + 3*t - 423 = o*u, 281 = 3*u - 5*t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 11. Suppose 4*w - d = 43, -w - 8 = -d - 3*d. Let g = o + w. Calculate the remainder when 112 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17800 and 120?\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 4 (c) 99 (d) 9 (e) -14 (f) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 23 = n - 5*v, 5*n = v + 218. Suppose n = -0*z + 4*z. Calculate the remainder when 32 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245557 (base 8) to base 4.\nAnswer: -1110231233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -625\/1813 or -1?\nAnswer: -625\/1813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 at most as big as -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -71, -58, -45?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10630066252 - 2?\nAnswer: 10630066250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9))**18*(v*v**(-3))**(-1\/17) assuming v is positive.\nAnswer: v**(-32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 6, i: 1}. Give prob of picking 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -2212, -4982, -8860?\nAnswer: -13846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:33 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/9495 and 14\/1899?\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*k - 7*b**2*k**3*m**2 - 2*b**2*k**3 - b*k**3*m + 42*b*k**2*m**2 wrt b?\nAnswer: -6*b*k - 14*k**3*m**2 - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 157.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 79. Let q = f - -29. What is the tens digit of (0 - -1)\/(q\/(-162))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -19*d**6\/120 - d**4\/6 + 17*d**2. What is the second derivative of j(t) wrt t?\nAnswer: -114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70050 less than -490341\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/149, 0.1, -1\/4, -23.4444 in ascending order.\nAnswer: -23.4444, -1\/4, -2\/149, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 5*k + 5. Let u be r(5). What is the second derivative of 2*g - 8*g + 3*g**u + 3*g wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -5. Let r = 227401\/6 - 37982. Let n = -82 - r. Which is the closest to -0.1? (a) n (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1345 * 5\nAnswer: -6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 - 195. Let r = h + 64. Let u = -100 - -902\/9. Which is the third biggest value? (a) r (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 36*q**5\/5 - 216*q**4\/5 + 100*q**3 - 112*q**2 + 304*q\/5 - 64\/5 = 0.\nAnswer: 2\/3, 1, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 times 28\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 3*s + 2. Let i be l(2). Sort i, -5, 3.\nAnswer: -5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-756)*30\/(-3)*12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 80. Let m(v) = -h*v + v + 2*v + 2*v. Let s(i) = -2*i. Determine m(s(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*a = 214*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584 or -1446?\nAnswer: -1446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.00001212 - 32. What is q rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -444 - -255. Let i be (2\/(-3))\/(-1) - 1062\/y. Suppose -2*n + 1 = -13. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f. Suppose -2*q = -f*r + 2*r + 4, -8 = -r + q. Suppose 5*c - 16 = -p - 3, 2*c + 5 = r*p. Solve 0*j - 8 = -c*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-1144)\/66 - ((-3)\/(-1) + -5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*v + 1236*v + 1043*v + 279*v + 1020*v + 914*v.\nAnswer: 4152*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 11, 2\/5, -3\/5, 19 in ascending order.\nAnswer: -3\/5, 2\/5, 3\/4, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245401 + 5890459\/24. Let p = y - 110\/3. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 4) + (-12)\/(12\/4). Suppose f + g*f = -t + 83, t - f = 59. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1538\/13 + -501479\/4238. Let d = -10169\/2934 - a. Let j = -187\/36 - d. Find the common denominator of j and -69\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -2\/3 (c) 8992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 309*s + 158. What is the hundreds digit of k(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x*x\/x**9)\/(x**(-2))**(-3\/2) assuming x is positive.\nAnswer: x**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128465701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16434 - -24005. List the prime factors of l.\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 7, s: 11}. Give prob of sequence wwee.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -32. Let p = v + 5. Let u = -0.9 + 0.4. Which is the nearest to -0.1? (a) u (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.03*-1.\nAnswer: 3.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 10. Let t = j - 14. Solve 3*w - 21 = 4*g, -5*w + w - t*g = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1221 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -797b + 14964?\nAnswer: 8ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 4*k = -7. Let x be ((-2)\/(-12))\/k + (-88)\/(-240). Which is the nearest to 0? (a) x (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 994 + -112. What is the lowest common multiple of r and 24?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6 + 8 - 3 - d**2 + 1. Let m(y) be the third derivative of y**4\/4 - 2*y**2. What is m(i(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36757 is divided by 360?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 = -l, -5*k - 3 = l + 2. Let t = 3 + k. Calculate the smallest common multiple of 9 and t - (-2 + (2 - 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h - 26. Let w be k(6). Suppose 3*m - 4 = 5. Let o be 4\/(-12) - (-7)\/m. Solve 4*g = -5*l + 37, 2*g = -0*g - o*l + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - o. Let g(h) = h**3 + 8*h**2 + 7*h + 1. Let n be g(-7). Suppose n = l - 0. Give b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8553921.\nAnswer: 3, 73, 139, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/(z\/z**4))\/z*z)**(2\/39) assuming z is positive.\nAnswer: z**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 8350*x = -8355*x - 5, 0 = 5*k - 5*x + 115 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 7*j**4\/24 + j**3 - 3805*j**2. Let m(o) = 8*o + 7. Determine 5*m(i) - 6*p(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 5079*n**2 + 5080*n.\nAnswer: -n*(n - 5080)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 7. Let y be r(5). Let z(s) be the first derivative of 10\/3*s**3 - 2*s - 3\/2*s**4 + 2 - s**y. Solve z(i) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, n: 7}. What is prob of sequence bb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5612 - -215?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.6, 2, -33067?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*n = -9, 1 = -3*r - n + 12. Let d(w) = 3*w**2 + w + 1. Let t be d(-4). Suppose -4*q - 3*y = -3 - t, 35 = 3*q + 2*y. Solve -6*p = -r*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -35*c**3\/3 - 27. Let y(x) = 2*x**2. What is b(y(t))?\nAnswer: -140*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 474*a**3 + 20*a**2 + 3*a + 3. Let y(u) = 1422*u**3 + 58*u**2 + 8*u + 8. Let n(x) = -8*g(x) + 3*y(x). Find the third derivative of n(k) wrt k.\nAnswer: 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6432383, 6432607, 6432981, 6433505, 6434179, 6435003?\nAnswer: 6435977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - -25. What are the prime factors of f?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.57\nAnswer: 0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 99*n + 16. Let p(r) = -197*r - 40. What is 6*p(d) + 15*w(d)?\nAnswer: 303*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w + 64. Let d(u) = -20*u - 847. Let l be d(-42). What is t(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 30198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 148724820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -158 (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3)**10)**27)**(-1\/13) assuming z is positive.\nAnswer: z**(-810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.19 + -671.81. Let f = -688 - n. Which is the nearest to 3? (a) 4 (b) 1 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854026499*-0.1.\nAnswer: -85402649.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i. Let a(w) = -w**2 - w + 1. Let b(o) be the second derivative of -o**4\/12 + o**3\/6 - o**2\/2 + o. Let v(r) = a(r) + b(r). Determine v(t(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9439 >= -9438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + 0 + 1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63626, -127082, -190538, -253994, -317450?\n\"Answer: -63456*o - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 6*g**3 - 7*g**2 + (2*g + 0*g - g)*(-2*g**2 - 3 + 3) - 3*g**3 - 3*g**3 - 4*g**3 as i*g + p*g**3 + h + o*g**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0580473g to micrograms.\nAnswer: 58047.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/40 + 11*t**4\/6 - 37*t**3\/12 - 129*t**2\/2 - 223*t + 8. Find m such that k(m) = 0.\nAnswer: -2, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p - 4. Let n(j) = 3*j**2 - 4*j - 9. Let d(b) = -5*m(b) + 2*n(b). Let z(s) = -s**2 + s. Give d(h) - 2*z(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 356333880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -19. Calculate the greatest common divisor of 154 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(200) - (-3 + -5*sqrt(200) - sqrt(200))))**2 + 3.\nAnswer: -140*sqrt(2) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 137 = 123. Is j <= -1\/2717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/5 + 23*j**2\/5 - 14*j\/5 - 1 = 0 for j.\nAnswer: -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 233441043 (base 5) in base 2?\nAnswer: 100000111000110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-180424)\/104456)\/(19\/30)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - m + 1. Suppose -3*v = -18 - 18. Suppose g + 4*a = 9, 0*g + 2*g + 5*a - v = 0. What is the units digit of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + w)*(-304 + 145 + 455) - w - w + w.\nAnswer: 887*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 - 20036*v**2 - 40056*v = 0. Calculate v.\nAnswer: -5007, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664290 and 1251171.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-20)\/(-14))\/(24\/42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 6 + 2 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**2 - 2*s. Let v be w(2). Let p = -43 + v. Let g(k) = k**3 + 6*k**2 - 10*k - 9. Calculate the remainder when 21 is divided by g(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + l - 81 + 96, 0 = -5*a + 5*l + 35 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2601790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjhzhzhvqhgvj. What is prob of picking 1 z and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 + 9.84. Let l = -10.1 + m. Which is the closest to l? (a) 2\/5 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/132 and (-5)\/(-40) - (2\/(-176))\/((-11)\/237).\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113240 + 4?\nAnswer: 113244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 5)*(0 - f**3 + 0) - 6*f**3 - 2*f + 2*f)*(-f**2 + 9*f**2 - 2*f**2).\nAnswer: -24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (4 + 3 - (-13 - (12 - 24))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 8*v**4\/3 - v - 350. Let u(g) = 24*g**2. Calculate u(t(m)).\nAnswer: 24576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*k**2 - 5239362 - 5239363 + 10478725.\nAnswer: -536*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1020100100?\nAnswer: -1020100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28352237 (base 9) to base 15.\nAnswer: 1371b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n + 5. Suppose 5 = 4*x - a, 2*a = -1 - 9. Let k be y(x). Suppose -3*i + k = -25. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1632 + 1840. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 + 79*n + 43. Let m(y) = -4*y**2 + 43*y + 21. Give -2*l(i) + 5*m(i).\nAnswer: -2*i**2 + 57*i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1923 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:02 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(180\/99)\/((-12)\/(-22)))\/(-1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*f + 2*i + 3*i, -3*i + 2 = -2*f. Which is the nearest to -23? (a) f (b) -4 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 + 5*r**3\/3 - 33*r**2\/2 + 27*r + 432. Factor f(z).\nAnswer: (z - 3)*(z - 1)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (510\/(-60) - 1\/(-1))\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -29, 0, 3\/8, 4, -0.1014?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426087 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-123)\/492*30905968\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34714*4\nAnswer: -138856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118845 by -285.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -7*d + 42, 5*d - 272 = -2*r - 242 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323189 - 323186. Let b = -2 + -1. Sort 11, b, q, 2 in increasing order.\nAnswer: b, 2, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/84*(-1)\/(-6). Put d, 5, 0.3 in descending order.\nAnswer: 5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 5*j + j + 151*j**2 + 265*j**2.\nAnswer: 416*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/2 - 25\/14. Which is smaller: x or 2.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {h: 3, d: 1, y: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267210*d**5*x - 20*d**3*x**2 + 261*d*x**2 + 2*d*x + 14*d + 751*x**2 wrt d.\nAnswer: -5344200*d**3*x - 120*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*s + 2*s. Let j be 42\/s + 2\/(-1). What is the units digit of 6\/(-3 - (1 - j))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/7))**(-47)\/(a**(2\/7))**(-10) assuming a is positive.\nAnswer: a**(302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 6) to base 15.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 5 = 0. Suppose -6*t = -j*t - 16. Solve 3*o - 3*k + k = 0, 5*o + t*k - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -69217*k. Let z(n) = -n. Determine z(d(q)).\nAnswer: 69217*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**4 + 2*d**4 - 4*d**4)*(2 - 4 + 0) to h*d**4 + g*d**2 + s + f*d**3 + k*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892230 rounded to the nearest ten thousand?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6397, 25674, 57811, 102814, 160689, 231442, 315079, 411606?\n\"Answer: r**3 + 6424*r**2 - 2*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 49 - 47 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*r + 34*r - 3*g + 2299, -g = -4*r + 4591. Calculate the remainder when r is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -39, -43, -49?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 divided by -4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 40 = -904*v + 909*v, -3*v + 16 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6810, -13627, -20454, -27297, -34162?\n\"Answer: -q**3 + q**2 - 6813*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.3 - 7. Let w = -0.11 + 0.06. Let b = 1.95 - w. Are b and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/14*7\/(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18*h*h**(12\/7))**(-3\/2) assuming h is positive.\nAnswer: h**(-435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -47501 (base 9) to base 11\nAnswer: -21947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/2)\/((-3)\/36). Let k = 79 + a. Suppose k = 5*o, -4*o + 974 - 3704 = 5*h. What is h rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.2. Let j = 0 - 0.1. Let v = -1.1 - -0.1. What is the closest to v in j, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/2, -2, -3\/2, -4.\nAnswer: -27\/2, -4, -2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 549766981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/4*-2. Let k be (-74)\/14 + u\/7. Let g be -4 + 4 - 0 - -4. What is the biggest value in k, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-20))\/((-912)\/(-1292)*(-136)\/(-540)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 11464.\nAnswer: -1\/2866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*u**3 - 11*u**3 - 116*u**3)*(3*u + 2*u - 3*u) to the form x*u + w + j*u**3 + y*u**4 + i*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (0 + 9 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2942407441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438189531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645 by -5.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 192111297?\nAnswer: 192111312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230.6 + 230. What is the smallest value in x, 2\/7, -0.07?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (224 - 235 - (1 - 16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 1161*q + 21933. What is g(18)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 14997*h\/2 - 30825315\/4.\nAnswer: -3*(h - 8835)*(h - 1163)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69388 and 6424.\nAnswer: 10130648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2454 or 2491?\nAnswer: 2454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-19)\/(494\/(-39)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - -13. Suppose -305 + 1108 = 11*y. Let h = m - y. Solve -3*t - 2*t - u - 16 = h, 5*t = -3*u - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7149362.4 to the nearest ten thousand.\nAnswer: -7150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*a + 14 + 1, 3*a = 3*l - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 2*j + 16, -5 = j - 5*x. Is -11 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 60 = 80. Solve 2*s - m = 5 - 2, -b*m = s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*-4 - 256\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 8:07 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*q - 94487 = 0, 15*q = 3*v + 11*q - 56713. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (2 - 2) + 8. Let j be 50\/((-4)\/u - 2020\/(-500)). Round j to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(54323023*y**2 - 54323023*y**2 - 1 + 1402*y**3).\nAnswer: -2804*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20112 is divided by 81.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5 + 12*w**4 - 12*w**3 + 4*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 104509*z - 54. Let a be g(6). What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 267 = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -150\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.505455 centuries to months.\nAnswer: 10206.546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4 + 2*g**2 - 4. Let u(i) = -6*i**2 - 2*i**2 - 12*i + 5*i. Let r(l) = 7*l**2 + 6*l. Let w(j) = 7*r(j) + 6*u(j). Determine s(w(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -7993\/27. Let n(w) be the first derivative of -6 - 1\/9*w**2 + 1\/9*w**4 + 2\/9*w - b*w**6 - 4\/27*w**3 + 2\/45*w**5. Factor n(y).\nAnswer: -2*(y - 1)**3*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 4*d**2 - d - 2. Let j be b(-4). Suppose -t = -j*t. Calculate the common denominator of t - (43\/16)\/(-1) and 51\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = 4515*j - 4550*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -46, -71, -98, -127, -158, -191?\n\"Answer: -n**2 - 20*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 2572*l + 17 - 62 + 18.\nAnswer: 2572*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335232 by -4.\nAnswer: -83808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 2. Let y be l(5). Let f = -3 - y. Suppose f + 3 = r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*-3*14\/28. Which is bigger: 1\/26 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -493*g**3 - 2*g**2 - g. What is the hundreds digit of d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from {a: 7, q: 5}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137\/16 + -541\/16. Find the common denominator of -97\/230 and d.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from rqpgznz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*b - 45. Suppose 0 = -3*r - 4*l + 27, -4*r + 77 = -5*l + b. Suppose -7*h + r*h - 10386 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21327, -85357, -192075, -341481, -533575, -768357, -1045827?\nAnswer: -1365985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 5*x. Let q(b) = -1. Let c(p) = p - 1. Let d(k) = -c(k) - 3*q(k). Calculate d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217679 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 79320 divided by -26440\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4302*10.575.\nAnswer: -45493.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72572\/13 <= 5581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*q = -5, -3*q + 2*q = 3*l - 1. Let z(i) be the third derivative of 27*i**2 + 0*i + 0 - 1\/24*i**4 - 1\/6*i**3. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z - 180. Let o = z + 90. Let j = o - 166\/3. What is the biggest value in 0.5, -2\/3, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*c - 6*b + 2*b, 5*b - 23 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (656 + 2*u - 502 + 2*u)*(2 + 3 + 0)*(2 + 3 - 4) as m*u + k and give k.\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + x = -1033, 2*g + 2*g - x - 826 = 0. Let h = -133 + g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a - 5*s + 6683 = 0, -a - 136 = -4*s - 59 - 19 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Suppose -3*g - 18 + 3 = 0, k*s + 4*g - 13 = 0. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3\/2 - 345*v**2 + 12255*v\/2 - 26845.\nAnswer: 5*(v - 118)*(v - 13)*(v - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576809 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, 0 in decreasing order.\nAnswer: 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let t be i(1). Suppose -q - 15 = -u, -t = 3*q + 11. Solve u - 1 = 5*g - 2*h, -2*g - 12 = -4*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120690.\nAnswer: 2, 3, 5, 17, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5168.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2978 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-80)*0)\/((-2)\/2)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 7)*(-6 - 45\/9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = u. Which is smaller: 1\/8 or u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42 and 37685460.954?\nAnswer: 37685418.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 14cd?\nAnswer: -14c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 31 = 46 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1453 + -4?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9902 + -0.0098. Which is the nearest to 0.6? (a) 1\/4 (b) 0.5 (c) 1\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394143439 to the power of 1\/2, to the nearest integer?\nAnswer: 19853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0267*-1.2.\nAnswer: -0.03204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4922 + 8465. What are the prime factors of r?\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 + 90703*j\/5 + 8227034209\/10.\nAnswer: (j + 90703)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/(660\/(-50)*5).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1274525 - -406573903\/272748350. Let g = 1\/107 + w. Let -3\/4*k**2 + 9\/4*k - g = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwwf when four letters picked without replacement from {f: 5, w: 8, g: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b. Suppose h - 3 = 4*h, -3*h - 91 = 2*o. Let m(z) = -10*z. Let g(t) = t. Let k(i) = o*g(i) - 4*m(i). Give q(k(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 8, k: 2, v: 4, e: 2}. What is prob of picking 2 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gded. What is prob of picking 1 d, 1 e, and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -2409\nAnswer: -5\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561 + -153372?\nAnswer: -148811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + 0 + -1 + (-1 + sqrt(612))*6 - (2*sqrt(136)*-2)\/(-2*sqrt(32)).\nAnswer: -7 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2531379\/2 or -1265689?\nAnswer: -2531379\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58.51167mg?\nAnswer: 0.00005851167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 19 = z - 9, -4*z + l = -2. Let h = 1 - 0. Put z, -6, 4, h in increasing order.\nAnswer: -6, z, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n - 2)*(-4 + 4 - 2)*(12 - 3 - 2).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose -3*w - 2*w = -15. Solve 0 = -d*z - 9, z - 15 = w*h + 2*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(768) - sqrt(768)*2) + sqrt(768) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**4 + 2418*o**3 - 1912*o**2 wrt o.\nAnswer: 72*o + 14508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/1)\/((-6)\/15). Let c be q\/1 - (2 + -3). Let f(d) = -130557*d**2 + 8*d + 4. Let w be f(c). What is w rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14446695 to 3 dps.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -r - 17, -r - 5*g = -4*g - 7. Let h(n) = 2*n - 3. Let z be h(r). Suppose -4*v - z = -7*v. Solve 4*c = -3*m - 1, -v = m - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-40))\/(144\/(-80))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050041 rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -32094*q - 1668882. Give u(-52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4824 - 0.49. Round t to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17459*l*u - 6*u - 6667 wrt l?\nAnswer: -17459*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r + 33\/350*r**7 + 6\/5*r**3 + 36*r**2 - 4\/5*r**4 - 9\/20*r**5 + 1\/80*r**8 + 0 + 1\/8*r**6. Let w(v) = 0. Calculate v.\nAnswer: -3, -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 7) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - ((-6 - -7) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116743 is divided by 116739.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*m = -4, -4*q + 5*m + 1808 = 1803. Let y be 1\/((-2)\/4) - -2. Suppose -a + y*a - 1 = 2*r, r - 3*a + 4 = q. Sort 7, 3, r in decreasing order.\nAnswer: 7, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2 + 1*sqrt(72))*-4 + 1 + sqrt(72)*-2 + 5*(sqrt(72) + -1))*-5 + 4)**2.\nAnswer: 3840*sqrt(2) + 5896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -182? (a) -2730 (b) 0 (c) 0.013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a**3 + 3*a**2 - a. Suppose 2*o + 12 = -o, o + 4 = r. Suppose r = 15*q - 18*q + 3. Is j(q) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1259 = r, -2*y + 1268 = -0*y - 2*r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 450*s - 641*s**2 + 641*s**2.\nAnswer: 3*s**3 - 450*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -17019.\nAnswer: -1\/5673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3551198 and 387?\nAnswer: 31960782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(2\/12). Let r(j) = 3*j - 1. Let l be r(v). Let w = l - -7. Put 1, 2, w in ascending order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 768*c**2 - 48543*c + 152460.\nAnswer: 3*(c - 308)*(c - 3)*(c + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 2*l**4 + 0*l**4 + (3*l - 3*l + l)*(5*l**3 - 2*l**3 - 5*l**3) - 4*l**4 + 3*l**4 - l**4 + 0*l - l**4 + 0*l - 2*l**4 - l**4 + 5*l**4.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let r(s) = s**2 + 4*s + 4. Let q be r(-4). Let z = 316 + -311. Solve o*m + z + 3 = x, 0 = -q*x - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 6 - (4 - 0). Solve o = -2*w - 2, 2*w - 5*w - 1 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/3)\/((-3)\/(-9)). Suppose c*s + 5 - 20 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 y, and 1 g when four letters picked without replacement from yoggyyyoyog.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {a: 1, r: 3, e: 1, i: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w*z**2 - 2*w*z - 6*w - 11*z**2 + 84 wrt z?\nAnswer: -6*w*z - 2*w - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -154. Sort g, 103, -1 in descending order.\nAnswer: 103, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-35))\/((-2)\/(-28)*(-122)\/61)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 + f**4\/3 + f**3\/2 + 3*f**2\/2 - 18*f + 1. Suppose 0*t = 5*t - 20. What is x(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*v - 1 + 3*v**4 + 22*v + (2*v + v + v)*(v**3 - v**2 + v**2).\nAnswer: 7*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -109 + -114?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s**(4\/3)\/s*s**(-3\/8)*s**(-5)*s assuming s is positive.\nAnswer: s**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 47*b + 1. Let a(f) be the first derivative of 35*f**3 - f**2 + 3549. Calculate a(s(t)).\nAnswer: 231945*t**2 + 9776*t + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(21\/(-6)*10\/70). Let t be (8\/12)\/1 + (-16)\/6. Sort -3, c, t in increasing order.\nAnswer: c, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.72 + -22.72. Let g = 0 + -0.04. Let b = g + 0.06. Is s at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9561002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4470 and 573054?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6444, -12610, -18782, -24960?\n\"Answer: -3*l**2 - 6157*l - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 176847?\nAnswer: 176840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 - q**3)*(6*q**2 - 5*q**2 + 16*q**2) + 3*q**5 + 8*q**5 + 13*q**5 + 4*q**5 - 2*q**5 - q**5 + (3 - 3 - 2*q**3)*(-2*q**2 - 1 + 1).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239513 is divided by 11404?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823768 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 864. Let x be (d\/135)\/((-2)\/(-5)). Solve -4*a + x = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 0, -11, -308, 7, -2, 1.\nAnswer: -308, -11, -2, 0, 1, 7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -328*x**3 - 2 - 31 + 5 + 42 to v*x**3 + s + m*x + n*x**2 and give v.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 3 = 56*t, 0 = w - 5*t + 11. Solve -8 = w*h - 4*d, -7 + 2 = 5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, 212, -1 in ascending order.\nAnswer: -1, 170, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 9581206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(-2 + (-1786)\/(-892)). Suppose -5*m + n = -3*m + l, -2*m = 3*l - 225. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 15?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 3*h. Suppose -p + h = -1. Solve -2*l = 3*f, p*f + 4 + 7 = l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 2*v - 0, 2*v + 6 = -s. Let f be 0*(-2 - v\/2). Let p(r) = r + 5. Let a be p(f). Solve 2*k - 11 = -a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2572009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 4 + 5)*(0 + 2 - 3) - 4 - 1 + 6)*(9 - 2 + 6)*(0*n - n + 0*n) in the form y + x*n and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 8 - 12 - (6 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kakkak. Give prob of picking 1 a and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*l - 147. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + f - f + (5*f - 2*f - 2*f)*(0 - 4 + 3) + 2*f + f - 5*f + (0 + 1 + 0 + 1 - 7 + 4 + (2 + 2 - 5)*(2 + 1 - 1) - 5 + 2 + 0)*(-26*f + 13*f - 124*f + 3).\nAnswer: 821*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76840 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 68 = -0*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273064946.\nAnswer: 2, 7, 11, 253307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9229.\nAnswer: 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1168576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w + 8. Let x be i(-6). Let a(s) = -25 + 7*s + 5*s - x*s. Give a(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166075498 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -6*g + 14*g. Suppose -g*k = -20*k. Suppose -4*l + 3*x + 6829 = k, 2*l = l + 4*x + 1691. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.34 (b) 1 (c) 0.3 (d) 106\/5 (e) 266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:17 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-10)*-2*21\/(-42). Is c not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 2292 + -2292.3. Which is the closest to -4\/133? (a) -1\/4 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 4. Let r(d) = -2 - 8*d - 13 + 8 + 2. Let s = -6 - -2. Give s*r(u) - 5*p(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*7*(-1)\/14. What is the closest to r in 2, 46, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) 1\/4 (b) 5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053824064 to 5 dps.\nAnswer: -0.00538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 4*i - 7. Let p(t) = -t**2 - t + 1. Let g(l) = -d(l) - 6*p(l). Let r(f) be the first derivative of g(f). Is r(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127953?\nAnswer: 3, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*b + 3*b + 27, 3*c - 4*b - 8 = 0. Suppose -j = -10*j - 18. Put c, j, -5 in descending order.\nAnswer: j, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 43*p - 21 - 168 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 168373015*i.\nAnswer: -5*i*(i + 33674603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 3*i**3 - 4*i**3)*(0 + 0 - 2 - 1 - 2 + 1 + (1 + 0 - 3)*(-3 - 3 + 5) + 3 - 2 + 0 - 5 - 1 + 3).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 40. Let w = 13 - z. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1603000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 16) in base 8?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -12*l - 20. Let f = l - -18. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -26 + 6. Let b be l*(1 - -2 - 2). Let o(c) = -9*c. Let t(d) = -8*d. Let m(p) = b*o(p) - 5*t(p). Let j(k) = -k. What is j(m(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(-3)*g*g))\/(g*g**7)*(g*g*g\/(g*g\/((g*g\/((g\/(g*(g*g**(4\/5))\/g*g))\/g)*g)\/g)))\/(g\/(g*g**(3\/5))))**(-33) assuming g is positive.\nAnswer: g**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:26 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 479 + 601 = 0. Calculate the smallest common multiple of y and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/123 and 6\/(-4) + (-219)\/(-6)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-728)\/1480) + 70\/(-5)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299602*r**4 - 5*r**2 - 46043662 with respect to r.\nAnswer: -1198408*r**3 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290*t**2 + 12*t - 5 wrt t.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20905\/9 + -2323. What is the fifth biggest value in 58, w, 0.4, -1\/2, -3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4608 = -223*p - 161*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 175 (b) 1.91 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11cc + -3?\nAnswer: 11c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -279 + 279.8. What is the third smallest value in -1, f, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -8*i + 10*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 50, 1\/4, -1, -0.08, 98\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 356 = 4*n, y = 5*y - n - 341. What is the remainder when y is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**3 + 3*g**2 - 64157*g + 10523549 wrt g.\nAnswer: 15*g**2 + 6*g - 64157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 4*s**2 + 3*s**2 + 0*s**2 + 7. Suppose -24 = 4*q - 84*v + 83*v, -q + 11 = 4*v. What is g(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03197 + 201.73197. Let x = -202 + t. What is the second smallest value in x, -5, 29?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5690*w + 47. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 65*t + 1. Let z be x(2). Suppose -w - 444 + 1157 = 0. Suppose -4*p + z = -w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 + 629. Calculate the remainder when h is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -2813?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91, 100, -25, -350, -941, -1864?\n\"Answer: -11*k**3 - k**2 + 89*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48647, -97294, -145941?\nAnswer: -194588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/20)*w**(-7\/5)*w)**12)**17 assuming w is positive.\nAnswer: w**(459\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/52148430 and -101\/156445290.\nAnswer: 156445290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 - 4*w**2 - 4*w. Give z(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*a - 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 112*u**5 - 80*u**4 - 4*u**3 + 8*u**2 = 0.\nAnswer: -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173858.\nAnswer: 2, 86929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2\/(-6))\/((-32)\/16). Let v = -8.3 - -8. Let r = 0.8 - 0.3. Sort v, i, r in decreasing order.\nAnswer: r, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317947*p**3*w**2 + 17*p**3*w + 2*p**2*w**2 - p - 356*w**2 - 3029 wrt p.\nAnswer: -1907682*w**2 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 4*g - 2*g)*(3 + 3*g - 3)*((-3 + 0 + 4)*(-1 + 1 - 1) - 42 + 6 + 8 - 2 + 1 - 1) to z*g + t*g**2 + f and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 30*a + 9. Let c = -12528 + 12518. Give y(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*(-5 + 4). Is l equal to 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195375 = -3512*k + 907*k for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -69*t - 2. Let j be l(23). Let d = j + 1588. Let i = 4.99 + 0.01. Which is the biggest value? (a) d (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 0.19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 9:14 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 - 142 = -35*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.4383 - 3.5617. What is the second biggest value in j, 2, -5, 19, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-9)*-2 + (-6787)\/198. Let g = z - -681\/20. Find the common denominator of g and -77\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*c + 4*n, 2*c + 2*c + 3*n = 23. Let v be 1 + 1 + 7890\/c. What is v rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581237.7442 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -291189.4112 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -10, 1\/10, -31, -1\/10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 416 - 31 - 30*s + 172.\nAnswer: -30*s - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 47983410, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001372182 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 72*m - 131. Let x(k) = 141*k - 262. Let c(j) = -13*b(j) + 6*x(j). Is c(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 10*q**2 - 8*q + 8. What is the remainder when h(-10) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5184 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*f = -4 - 82, -z + 5*f - 6 = 0. Let o be (-23)\/(-7) - 4\/z. Suppose t - 3*v = 3*t + 5, -o*v - 15 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kkkzkkkzkkkk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438\/4961 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2838.106 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 250*x - 4386. What is the hundreds digit of i(84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322*y + 1307*y + 3045 = 0. What is the highest common factor of y and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 6936 = 1161. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1133174 and 73\/5342106.\nAnswer: 37394742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 70*t - 1252. Let i be v(13). Put 5, 1, 549, i in decreasing order.\nAnswer: 549, 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 115 = 4*i, 4*i - 3 = -2*f + 103. Let z be (-3)\/(-1)*18\/27. What are the prime factors of (6 - z)*i\/8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 618 and 14571822.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18544 and 80?\nAnswer: 92720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202026559981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1.1, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let c be q(0). Suppose c = f + 5*f - 144. Let p(w) = -120*w. Let l be p(-1). What is the highest common divisor of f and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 4. Let i(w) = -2*w + 11*w**3 - 10*w**3 + 4 + w. What is the least common multiple of b and i(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60.065 and 0.2.\nAnswer: -12.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r + 1. Let q(k) = -12*k - 10. Let g be q(-9). Suppose -39 = -2*a + p, 2*p = 4*a + a - g. Calculate the least common multiple of h(-1) and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2132 (base 4) to base 8\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*h + 4 = 0, 0 = 3*h - 0 + 6. Let l(b) be the second derivative of 1\/10*b**4 + 0*b**2 + 0 - 1\/50*b**5 - 5*b + x*b**3. What is w in l(w) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6098 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20595, 41190, 61785, 82380, 102975?\n\"Answer: 20595*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.15595?\nAnswer: -0.9357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:30 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81806 (base 10) to base 6.\nAnswer: 1430422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1562 - -1565. Let o(j) be the third derivative of 1\/8*j**4 + 7*j**2 - 1\/120*j**6 + 0 + 1\/3*j**x + 0*j + 0*j**5. Factor o(r).\nAnswer: -(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.001, -1028\/11 in descending order.\nAnswer: 0.001, 0, -1028\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681667 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:40 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -21 - (-17 + 24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwqwq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 3, 60366?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 337*r + 331*r = 41, 5*z = 4*r + 29 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -2\/3, 0, 1207\/3?\nAnswer: 1207\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 463. Give v(66).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7350 divided by 175.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 40 = 3*v - 478*m + 477*m, 5 = 2*v - 7*m for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12*3 - (-2 + 0). Let u be 3 - ((-16)\/(-9) + (1 - q)). Let i = -0.032 + 0.232. Which is the third biggest value? (a) u (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 - 3*v + 35. Calculate t(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1632)\/14)\/(-2) - 34\/119. Suppose -2*w + 408 = k. Let c = 319 - w. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 - -83.4. Round k to zero decimal places.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -49) + 18 + -43 - -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 603*s - 95. What is the remainder when x(1) is divided by 56 + -8 - (1 - (-1 + 5))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 + 15 - 106) + 0\/2 + 32?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4094*n**2 + 4100*n**2 - 12261*n**2 + 4085*n**2.\nAnswer: 18*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 1, c: 1, d: 1, b: 5, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1. Let d(k) = 3*k + 0*k - 3*k + k + 6. Let a(y) = -d(y) - 4*t(y). What is the first derivative of a(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*11\/5 - (-72)\/120\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6004736839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 27*v**2 + 4*v - 1. Suppose -2*q = -2*m + 4, -5*q - 7 = m - 9. Calculate f(m).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46277.07 litres?\nAnswer: 46277070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0*d - d - d) - 5 + 2*d + 5.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3326*z - 206*z + 9158 + 46114 = -144408 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 - 315. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/100 and 53\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 30014.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10.45 times -0.071\nAnswer: -0.74195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/13 + 1228678*d\/13 - 12286980\/13 = 0?\nAnswer: -614349, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/6, 2, 1, -1\/7, -1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -9239, 5, -2, -5 in decreasing order.\nAnswer: 5, 1, -2, -3, -5, -9239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2 - 2)*(3*v**2 - 4*v**2 + 2*v**2) + (-2*v**2 + 4*v**2 - 6*v**2)*(-5*v**2 + 32 - 32).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48182 times 1?\nAnswer: -48182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*j + 2)*(4 - 2 - 4) + 1599*j + 16094*j + 4600*j + 7119*j - 6018*j to the form c + p*j and give p.\nAnswer: 23390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -97. What is the third derivative of 37*v**2 - u*v**5 + 48*v**2 - 71*v**2 wrt v?\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/5697 and (-212)\/(-126) - (-54)\/(-1053)*26.\nAnswer: 39879","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16355177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 + 5*k - 5. Suppose 3*m + 21 = 6. Let q(v) = -22*v**2 + 7*v - 7. Let t(z) = m*q(z) + 7*y(z). Let j(h) = -2*h. Give j(t(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umuuuuumuuxuuu. Give prob of sequence ux.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 1941*o - 11683. What is i(6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -51. Let r = h + -14. What is the common denominator of 4\/r*(-393)\/(-12) and 85\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 4 (c) -5 (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15346 - -15346.01821. What is b rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnln. What is prob of sequence nnnl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 5*l - 5. Let t(i) = 6*i**2 - 16*i - 16. Calculate -16*j(d) + 5*t(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:21 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(-1 - 31 - 84).\nAnswer: -232*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.198 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u + 369. Give h(45).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 5*h**2 + 5*h - 2. What is the lowest common multiple of 6 and p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**6\/33 + 6*n**5\/55 + 5*n**4\/11 + 4*n**3\/33 - 9*n**2\/11 - 10*n\/11 + 154. Find l such that x(l) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2 - (-38)\/19)\/((-136)\/(-16) - 5)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -17\/6, 1896.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, -237 in decreasing order.\nAnswer: 14, 2, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 681189 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, -1, 3\/2, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249 + 309. Calculate the remainder when p is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -622.58 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77900)\/26650*13\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5382 + -5378. Put z, 1, 3, -4, 39 in descending order.\nAnswer: 39, z, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.9 + -0.2\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((1 - (-1 - -8) - (-126 - -74)) + -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/12 - (-2)\/(-8). What is the remainder when 0 + 2\/(-1) - -15 is divided by i\/(-6)*42\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302531701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12992 and 49532.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(96)*1)\/(1*-6*sqrt(200)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.4 + -5.4. What is the nearest to h in -2\/9, -2\/3, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**3 + 147*q**2 - 2881 wrt q.\nAnswer: 9*q**2 + 294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 1.5. Let v be 4\/((-3 - -2)*-26). Put v, -2, j in decreasing order.\nAnswer: v, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**13)\/s)\/(s\/((s*((s\/(s*s**(-27\/5)\/s*s))\/s)\/s)\/s))*(s*s**(-4\/7))**31 assuming s is positive.\nAnswer: s**(1004\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126769477.\nAnswer: 126769477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 20*q - 94. Let b be 602\/(-98) - -16 - (-1)\/7. Calculate z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2)\/(19\/(-38))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86602339 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 189, 1857, 6389, 15219, 29781, 51509, 81837, 122199?\n\"Answer: 239*m**3 - 2*m**2 + m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605?\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10616 + -10616.5. Put -0.774, 4, m, -1 in ascending order.\nAnswer: -1, -0.774, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -608, -1330, -2350, -3674, -5308, -7258?\nAnswer: -9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*r**3 + r**2 + 140*r**3 + 143*r**3.\nAnswer: 10*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/13 (b) 2 (c) -9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let l(n) = n**3 - 2*n**2 + n + 2. Let h be l(y). Suppose -52 = -h*i + 4*c, -2*i - 2*c = 2*i - 34. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 3*s)*(-49 + 49 - 260*s + 2264*s).\nAnswer: -4008*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 8*x + 14. Calculate t(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-36)*3*-3. Let b = 8 + -19\/3. What is the nearest to 2\/7 in b, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 8987.005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6339.158 from -0.3.\nAnswer: 6338.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 70. Let b(k) = -4*k - 2. Give -3*b(i) + d(i).\nAnswer: 8*i + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 625988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 + 137*n - 4. Let w(h) = 8*h**2 - 160*h + 5. Let y(i) = -7*u(i) - 6*w(i). Suppose 0*p = -5*p - 30. Calculate y(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 7*v - 2. Let u be m(4). Let f(b) = b**3 + b**2 - b + 1. Calculate the remainder when 20 is divided by f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*t = -t - 48, 5*k - 2*t = 67. Let h = 506 - -715. Suppose 1223*s = h*s + 206. What is the remainder when s is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 - 207. Let o(x) = -r*x**2 + 2 - 308*x**3 + 2*x + 307*x**3 - 3*x - 2*x. What is o(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 26300900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -2*d + 50*n, 4*d = -622*n + 624*n - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47610254 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4023*b**2 + 6*b - 39. Let s be w(6). Suppose 5*a = 5*t - s, -7*a = 4*t - 3*a - 115876. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14359 (base 10) to base 7\nAnswer: 56602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = -4*b + 8, 23 = b - 4*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103.65 + 74.65. What is the second biggest value in 0.03, i, -3\/5, 1\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*k**2 + 73*k**2 - 259 - 364 + 623 + 258*k**2.\nAnswer: 372*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 102600 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-25))\/(1\/(-265)*1). Let a be 14\/8 - (-4)\/16. Suppose -192 + 39 = -3*u - 4*d, 3*u + a*d - r = 0. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -4*h - 1080 - 432. Calculate the remainder when h is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965640 rounded to the nearest ten thousand?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 23*k + 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 9*f - 24. Suppose b + 12 = -2*b + 4*w, 4*w = f*b + 12. Calculate the remainder when 340\/(-8)*36\/(-10) + b is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*-1)\/(-2*sqrt(252) + sqrt(252)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 478*x**2 + 3*x - 3. Let g(c) = 302575*c**2 + 1900*c - 1900. Give -3*g(o) + 1900*j(o).\nAnswer: 475*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 29, 32?\n\"Answer: 3*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 589*t**2 + 6*t. Is p(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -13. Sort b, 3, 0 in descending order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -0.07 (c) 0.12 (d) 261 (e) -2\/5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18106 + 9962 + 10183)*(10*o - 6*o - 5*o) in the form u + t*o and give t.\nAnswer: -2039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6186 or -6185?\nAnswer: -6186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2187) - -1*sqrt(2187)) - sqrt(324)\/(-3*((sqrt(300) - sqrt(12)) + sqrt(12) + sqrt(12))).\nAnswer: -2 + 325*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 + -1)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 4533*n**3 + 1186857*n**2 + 64471467*n - 65662860 = 0. Calculate n.\nAnswer: -1195, -241, -76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 410\/(3 - 13) - -5. Let z = -0.023 - -3.023. Are z and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824444 (base 11) in base 15?\nAnswer: 412107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h**3 - 7\/60*h**5 + 5*h**2 + 0 - 3\/8*h**4 + 0*h. What is the second derivative of w(p) wrt p?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23330617*p. Let x(d) = 4*d. What is l(x(r))?\nAnswer: -93322468*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*4*sqrt(180))**2 + ((sqrt(60) + (sqrt(240) - -3*sqrt(240) - sqrt(240)) - sqrt(60))\/(sqrt(144)\/(sqrt(12)*-2)))**2.\nAnswer: 104400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-4 + 2 - 0). Let w(l) = 5*l**2 - 5*l - u - 5*l**2 - l**2. Let z be w(-2). Let c(y) = y**2 - 1. Let s(m) = -m**2 + 2. Determine z*c(n) + 2*s(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 17934?\nAnswer: 17934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3 + n**3 + 5*n**2 + 9 - n + n**2 - 2. Let y be x(-7). Let j = y + 40. What is the smallest common multiple of j and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2057 or -3249?\nAnswer: -2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-20))\/(72\/(-24)*(-1)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(8\/9 + -1). Let r be 6\/u*(5 + 1). Solve 3*k = -2*t - 11, -4 - 4 = t + r*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119808 and 14768.\nAnswer: 8506368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m. Let r be (-1 - -2) + 2 + m. Does 10 divide r*((-50)\/3)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((5 + 68\/(-12))*52)\/((-5)\/4020)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 35. Let j = x + -6.5. Let n = 1357\/7 + -193. Sort n, -1\/4, j.\nAnswer: j, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 37. Suppose -44*y = -q*y - 36. Solve 3*o = 4*b - 17, -y*o + o - 4*b = -25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102860 times -488?\nAnswer: 50195680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 431\nAnswer: 248\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15550 and 737500.\nAnswer: 229362500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-21)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4333 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.5 (c) -105 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/62159 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29121581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/(36\/(-20))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/36 + 28*38\/(-6384).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 231, 346?\n\"Answer: 115*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, h: 7}. What is prob of picking 2 d?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14 = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 33 + 1. Let x = -36 + 56. What is the remainder when 302\/5 - i\/x is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318*r**4 + 5*r**3 - 41*r**2 - 5*r - 9.\nAnswer: -7632*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2031*r**2 + 54*r - 214. Let s be t(-6). Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/558 - 26\/(-9). Solve -2 = 2*g, -t + 5*t - 11 = x*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 26*n - 14 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0097 and 0.5.\nAnswer: 0.5097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15846 times 0.04\nAnswer: -633.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 190, 0.2, 2\/3 in ascending order.\nAnswer: -4, 0.2, 2\/3, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7198690 rounded to the nearest one hundred thousand?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26314999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29057637 to the power of 1\/2, to the nearest integer?\nAnswer: 5391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 2*u + 5. Suppose 21*q - 29*q = 3928. Let i = -495 - q. Calculate v(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*y - 3*d, -d - 50 = -y - 6. What is the highest common factor of 84 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:02 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 429350 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-3)\/(-6)*-2. Suppose -t + 9 = -p*t. Let m be (t + 7)*(-1)\/(-2). Solve m*x + 6 = -2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 67*q**2 - q - 9. Let z be j(4). Let f = 14843\/14 - z. What is the common denominator of f and 93\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 34*k**3 + 4856*k**2 - 856*k + 291. Calculate u(-143).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.47 - 0.4. Let p = 7591.18 - 7591.24999812. Let d = g + p. What is d rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 768 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(259 - y - 259)*(1 - 2 + 5)*(1 - 5 + 2)*(-5*y**3 + 0*y**3 - 2*y**3) to the form q*y + p*y**4 + s + u*y**2 + w*y**3 and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14166)\/21249*(-60)\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57225.3 millennia in years?\nAnswer: 57225300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -52442\nAnswer: 1\/26221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 135 - 135 - 2*z - 3*z**3 to c*z**2 + b + r*z**3 + k*z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913331 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7493472 and 1617?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 59*o**2 - 2*o - 14. Is 16 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3318314?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16161881 + -41.\nAnswer: -16161922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (1 + -3 + -10)) + 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/15))**(1\/46))**(-48)\/((p*p\/((p*p*p\/(p**14\/p))\/p)*p)\/(p\/p**(1\/9)*p))**(2\/109) assuming p is positive.\nAnswer: p**(-86\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2978095725?\nAnswer: 3, 5, 11, 137, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/7)*i*i\/(i\/(i\/(i\/i**(1\/2)*i))*i))**(7\/3) assuming i is positive.\nAnswer: i**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74595491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0287*-7725\nAnswer: 221.7075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 + 2*m. Let a(y) = 8*y**2 + 3*y. Suppose -2 + 4 = 2*x - 4*n, -3*x + 5*n + 3 = 0. Let k be (12\/(-12))\/(x\/3). Calculate k*u(p) + 2*a(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -44964536?\nAnswer: 44964536.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 921340 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 40 = 0. Suppose 6*z = 11*z - k. Let -36*b - 8 + 24*b + 0 - z*b**2 = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/33326 and -45\/12278?\nAnswer: 233282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + r = 6*h, -5*h - 2*r = 0. Let z(s) be the first derivative of -11 + h*s**5 + 0*s**2 + 0*s**3 - 1\/21*s**6 + 1\/14*s**4 + 0*s. Factor z(m).\nAnswer: -2*m**3*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24 - -20) + (0 - (-3362)\/840). Let k(g) be the third derivative of 0*g - 1\/14*g**3 + 14*g**2 + 0 + x*g**5 + 1\/84*g**4. Find i such that k(i) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7139 and 46728.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -28*i - 6. Let b(n) = 26*n + 5. Let y(f) = -6*b(f) - 5*d(f). Let x(o) = -16*o. Give -6*x(w) + 5*y(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (-13 - (-5 + -18 + 11 + -3)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43904124 and 128502?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1866730 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3 = l - 18, 5*l - 25 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223153, 223093, 222993, 222853, 222673?\nAnswer: 222453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 28*s + 338. Give o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (124\/(-6))\/((-12)\/72). Let w = -88 + b. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -87, 1, -2 in descending order.\nAnswer: 12, 1, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 94. Suppose w = -4*w - s. Let l = -5 - w. Sort 3\/8, -4, l.\nAnswer: -4, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 0.104854?\nAnswer: 0.204854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30175 - 9852. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3229677.4 rounded to the nearest 1000?\nAnswer: 3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17)*-1 + 4*sqrt(2448).\nAnswer: 47*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + (9 - (6 + 11) - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79449488 * -0.3.\nAnswer: 0.238348464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671 and 88.\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 6*j**2 - 8*j + 5. Let h be m(4). Let o = h + 70. Suppose -o*t - 16 = -1842. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6073 in -6\/7, -142\/9, 4, -3\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/70)\/((-1)\/(-5)). Let f(u) = 5*u**2 + 3*u + 1. Does 37 divide f(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -41, -64, -93, -128, -169?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -143 and -0.126?\nAnswer: 18.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 - 364.9. Let o be 48\/22 + -2 + 0. What is the closest to i in 0, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478851.95764 less than 21?\nAnswer: -478830.95764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + (-120)\/(-21). Suppose b - 5*f = -2*f, 4*f = b. Suppose b = m - a - 8, -6 = m + 4*a + 1. Solve -5*v + l = -2*q - q, -2*q - 4 = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*j + 9 = 32, w = -5*j + 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 837, 3, -4, 2\/103, -5\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -466, -1243, -2570, -4585?\nAnswer: -7426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/4 (b) 2 (c) -3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 5. Suppose -2*p - 20 = -3*g, 3*p - 22 = -q*g + p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**2 - 891038*j - 47030186?\nAnswer: 12*j - 891038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i - 5. Suppose -4*o + 73 = -3*y - 2*y, 0 = 2*y + 10. Suppose -6 = -o*g + 10*g. Let t(d) = 5*d + 2. Determine g*r(f) + 7*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299727?\nAnswer: 3, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -2052\/89?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 221444542?\nAnswer: 221444551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 99555 = -4*m, -4*t + 23922 = -4*m - 55722. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(-1 - 2\/(-4)). Suppose 48 = 11*i - 73. Suppose -55 = -t*n - i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7469, 16061, 24645, 33215, 41765, 50289, 58781, 67235?\nAnswer: 75645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 353*k - 127*k + 13*k**3.\nAnswer: 11*k**3 - 480*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 7. Let h(g) = -g + 7. Let u be h(10). Let m be c(u). Solve 1 + 4 = -5*o, -o + 9 = -m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from uuumkkuuuuym.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1004230 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -8*f - 18*o + 11*o + 9*o, 4*f - 2*o + 30 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*b = -45 + 62, 0 = 5*b - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(112) + sqrt(7) + sqrt(7)))\/(sqrt(20)\/sqrt(2)*2 + sqrt(10)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a hour in seconds?\nAnswer: 85200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 6*g - 7. Let o be z(5). Are o and -12\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 3. Let k be n(10). Let c be 3*20\/6 + -4. Factor -7*y**4 + k*y**2 + 5*y**2 + 6*y**3 - 14*y**4 + 9*y**2 - c*y.\nAnswer: -3*y*(y - 1)*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -292*f**4\/3 + 71*f**3\/3 - 9*f**2\/2 - 237*f - 3. Find the second derivative of w(a) wrt a.\nAnswer: -2336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 - 21*b - 31. Let c be p(9). Solve -5*i = 2*u - 7, 0 = -0*i - i + 5*u + c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 56*x - 20 + 6 to y + i*x and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**3 - i**2 + 2*i - 6. List the prime factors of n(2).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -49559883.\nAnswer: 5\/49559883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - i. Let j(f) = 6*f**2 - 2*f. Give -5*j(k) + 7*x(k).\nAnswer: -2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -711 - -7?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573600 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354a70 (base 11) to base 4.\nAnswer: 2021130121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -172. Suppose -3*i + 39312079 - 120012079 = t. What is i rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + 63*x + 271. What is m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07862 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 265\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*z + 2, 6*z - 16 = -4*p + 2*z. Suppose -i - p*i = -120. Suppose 0*b = -3*b + i. What is the lowest common multiple of 3 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -14. Which is smaller: -0.3 or o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 47*v + 4. Determine i(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 10*q**2 - 17*q + 8.\nAnswer: -(q - 8)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 1b5516?\nAnswer: -1b5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1394511 and 426?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -331586 divided by -71\nAnswer: 331586\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 161780 times 57.9\nAnswer: 9367062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/522 or 0?\nAnswer: 1\/522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 1593*h + 1592*h - 10 = 0, 2*u = -4*h - 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13303 (base 4) to base 10.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518383 is divided by 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(6) + (sqrt(6)*-1 - sqrt(6)))\/sqrt(2)) + sqrt(33)\/(-2*sqrt(704) + sqrt(11)).\nAnswer: -16*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5 = -3*g, -21 - 17 = -4*g + 8*k + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 59. Suppose 2*s + 62 = i, -3*s = -i + 2*i - 27. Calculate the lowest common multiple of i and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.5 (b) 2\/245 (c) -8 (d) -2\/13 (e) -312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2665\nAnswer: 1\/2665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 83*r**2 - 8282 + 8282. Let h(i) = -i**2. Determine h(y(t)).\nAnswer: -6889*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 12*i - 416. Let b be u(-15). Let n(j) = j + 25. Calculate n(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**4 + 770*a**3 - 33*a - 15. Let f(r) = r**5 + 3*r**4 + r**3 - r + 2. Let d(y) = -2*f(y) - w(y). What is the second derivative of d(q) wrt q?\nAnswer: -40*q**3 - 4632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-1 + 12)*-2. Let m be 70 - (k - 5) - 4. Calculate the greatest common divisor of m and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by -3.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004566622307 to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 - 131. Which is the third biggest value? (a) -2\/3 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 68. Let n(a) = l*a**3 + 13 - 10*a**2 - 9*a - 10*a + a**3 + 8*a. Let h be n(11). Calculate the greatest common divisor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3553 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (256*z + 59 + 81 - 140)*(1 + z - 1)*(-z**2 + 8*z**2 + 6*z**2) as h*z**3 + c*z**2 + a*z + i*z**4 + r and give i.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 2, 28, -27540?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 274*p**2 + 10*p. Let t(l) = l. What is t(x(f))?\nAnswer: 274*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rabjlpj. Give prob of sequence pjrj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p + 3*p - p)*(-p + 0 + 0) + (-p - 3*p + 2*p)*(0*p - p + 2*p) + 2*p**2 - 5*p**2 + 2*p**2)*(14 - 18 + 11).\nAnswer: -35*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 78, 116, 170, 240, 326?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 8951040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402480 divided by 33540.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8725854*c - 6*c**2 - 8725854*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1061*t**5\/30 - 727*t**3\/6 + 3*t**2 + 846. Find the first derivative of q(w) wrt w.\nAnswer: 4244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*g = 293, 3*a - 2*g - 305 = -g. Calculate the remainder when a is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34340 and 196?\nAnswer: 1682660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8565497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(9\/4)*d*(d**6\/d)\/d*d)**(-2\/11)\/(d**5\/(d\/(d\/(d\/d**(1\/5))))*(d**(1\/2)*d)**46) assuming d is positive.\nAnswer: d**(-8147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23183 and 1673?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562030 is divided by 284624?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -104. Calculate the smallest common multiple of 2 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:32 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + (-6 - -18))*(-1)\/(-2). Suppose -2*m = -b*f + 13743, -4589 = 9*f - 10*f - 2*m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (49 - 1) - -3) + (-52 - -55).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 83. Let i(r) = r**2 + 5*r**3 + 0*r**d + r - 6*r**3. Let w(h) = 3*h**3 - 7*h**2 - 5*h - 1. What is -5*i(t) - w(t)?\nAnswer: 2*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (2 + -6 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a*q**6 + 286*a*q**4 + 78*a*q**2 - 305*a*q wrt q?\nAnswer: 960*a*q**3 + 6864*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + -1.4. Let y = -96 - -141. Let q be ((-8)\/10)\/((-6)\/y). What is the nearest to 0 in v, q, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-10) + 28\/(-7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1567*j - 4 + 9 + 1556*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003414773 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*r = -21, -w - 3 + 17 = 2*r. Suppose 9*k + 24 = 11*k + 2*i, 50 = w*k + 5*i. Is 2\/(k\/21325*5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50*((-2256)\/120)\/(-47)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z**3 + 11*z**2 + 6*z - 2. Calculate f(-2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -7*p**4\/24 - 7*p**2. Let k(o) be the second derivative of o**4\/6 + 2*o. What is z(k(d))?\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 0.006458432622.\nAnswer: -6.993541567378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 262*s + 2761.\nAnswer: (s + 11)*(s + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 18. Let g be 20*(-4 + 21\/6). Let c be o(g). Let u be c*3\/2 - -2. Which is smaller: u or -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 16*v = -120. Suppose -45 - v = -5*d. Solve 9*p - 4*p + d = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 27 = 10*p. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(108) + 2 - sqrt(108)) + sqrt(108)))**2 + (sqrt(108)*-2 + -3)**2.\nAnswer: 288*sqrt(3) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:14 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-15))\/(-2)*-66. Suppose 0 = -s + 2*q + 6 + 17, 3*q + b = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -360 - -7033. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 2 - 0)*14*-1. Let h = v - -64. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(450)\/(sqrt(10)*1))\/(sqrt(54)\/(sqrt(6)*1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.65554 to 0 decimal places.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 - 111190*i**2 - 1748*i - 2?\nAnswer: 18*i - 222380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 - 723*c**3 + 176358*c**2 - 15010660*c + 121331448 = 0. Calculate c.\nAnswer: 9, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m - 2. Let k be (-15)\/(-20)*2*(4 - 2). What is the remainder when 47 is divided by z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 77*l**2 - 1. Let a be i(-1). Let d = -64 + a. Suppose -6 = j - d. Solve -g - g = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:47 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4900\/3 - 143*m**2 + 34\/3*m**3 - 1\/3*m**4 + 2380\/3*m = 0.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = 7*v - 15*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/(-22)*108\/(-2). Suppose -7*j - 244 = -n. Is j smaller than -40\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2 = 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 30*y + 27. Give q(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from vpvhpzavvvhzzphhcpcv?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6120, -48809, -164626, -390129, -761876, -1316425, -2090334?\n\"Answer: -6093*d**3 - 6*d**2 - 20*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*q + 545*q = 18. Suppose -2*g + 2*a + 140 = 0, 5*g - 402 = -3*a - 44. Calculate the remainder when g is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 10.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*q + 45 = 0, 111*q - 39 = 3*c + 114*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 5*b + 40. Let a be m(9). Let z(j) = 11*j - 998*j**2 - a + 997*j**2 + 1. Calculate z(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4\/9 + 260*g**3\/9 + 2378*g**2\/9 - 880*g\/3 = 0.\nAnswer: -120, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 3*h. Let p(k) = -4*k**2 + 4*k - 8. Determine -p(m) + 3*y(m).\nAnswer: -2*m**2 + 5*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/9, 246?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -51. Let r be (-1)\/(57\/27 + -2). Let v be r\/15 + 16\/10. Which is the smallest value? (a) -1\/10 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 + 0 = 0. Let m be 2\/(1 - -1) - t. Suppose 3*q - 39 = 9. Solve -4*y = -3*s + 24 - m, q = 4*s - 2*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/15 - 4 - (-14 - (-6860)\/84)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 10, 3\/7, 3\/16 in increasing order.\nAnswer: -3, -2, 3\/16, 3\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzwulweq. What is prob of picking 1 l, 1 w, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 50, 61, 56, 29, -26, -115, -244?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*u = -4*u + 3*u, u = 4*b. Solve 5*j - 34*j + 116 = b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -69*j**7\/70 + j**5\/30 - j**4\/4 + 270*j**2. Find the third derivative of h(m) wrt m.\nAnswer: -4968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -409038848 and -1?\nAnswer: 409038848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938095539?\nAnswer: 3, 41, 7626793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.588 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09386171 rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeaooheffooo. What is prob of sequence eg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 2*b**2 + 180*b - 11. What are the prime factors of p(11)?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddr when three letters picked without replacement from {r: 3, d: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcbzbcfcbjb. What is prob of picking 2 c, 1 f, and 1 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107.81 * 0.0299.\nAnswer: 3.223519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18554 + -1336039\/72. What is the common denominator of k and -3\/268?\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65520924 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/8)*h)**26\/(h**(-1\/5))**19)**(46\/7) assuming h is positive.\nAnswer: h**(15203\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2392325 = 2*q, -190*z + 3588530 = -3*q - 194*z. Round q to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-6) - (10 + 2262\/117)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217820598?\nAnswer: 2, 3, 19, 269, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -4 + 1 + 4 + 0. Let r be 0 + (l + 4 - -26). Solve 5*s + 5*w = r, -4*w - 1 = -17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 82.25521 years?\nAnswer: 0.08225521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 93*y - 4*y**3 - 8*y**3 - 158*y. Let o(q) = 2*q**2. What is o(m(f))?\nAnswer: 10368*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 137. Let r(q) = -17*q + 411. What is 11*o(j) - 4*r(j)?\nAnswer: 2*j - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1, 6, -2, 0.04, 736?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12322?\nAnswer: 12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + u = -14, 55*z - 17*u + 35 = 56*z - 12*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 146 + 3*j - j**2 + 148 - 2*j**4 - 5*j to l + r*j**2 + w*j**4 + k*j + t*j**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*p - 45, -6*a - 2*p + 9 = -5*a. Solve 2*s + 24 = -3*g + 5, 2*g = 3*s + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - u. Suppose -14 = -u*j + 22. Let w = -9 + j. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 <= 19\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25584.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*o + 16 = 0, 1 = -o + 3. Suppose -5*l = -d + 7, 61*d + 1 = 64*d + 5*l. What is the lowest common multiple of y and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s + 4*s)*(-4 - 2 + 4 - 1 + 3 + 0 + 2 - 3 + 3 + (0 + 1 - 3)*(5 - 2 - 2) + 0 + 3 - 5 + 0 + 2 - 3 + (0 + 1 - 2)*(4 - 6 + 4)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1197 - -1194. What is the biggest value in s, 6, 0, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 10. Let m be x(-8). Let f be m\/6 + (-78)\/(-18). Solve -3*k - f = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500573823 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ggggfyrfg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12075.896807 + -12076. Round t to 4 decimal places.\nAnswer: -0.1032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -69*i**2 + 25*i - 5. Let q(n) = 405*n**2 - 145*n + 30. Let b(a) = 35*j(a) + 6*q(a). Let s(f) = 60*f**2 + 21*f + 21. What is 21*b(u) - 5*s(u)?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/7 - 1583*u**4 + 33237*u**3\/7 - 33235*u**2\/7 + 11078*u\/7 = 0.\nAnswer: 0, 1, 11078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(735))\/sqrt(300) - (sqrt(5) - sqrt(20)\/(sqrt(16)\/sqrt(4)) - (sqrt(5)*-3 + 3)).\nAnswer: -22*sqrt(5)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from ccpmpnvqnnnq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 1\/5, 47.25, -5, -6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68257 and 107261?\nAnswer: 750827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/12 - 2*c**3\/3 - c**2 + c. Let u be t(-2). What is the third derivative of x**2 + 0*x**2 - u*x**3 + 3*x**3 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + 1231?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138318281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -54. Let u be 3\/(9*(-1)\/b). What is the closest to 0 in u, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -270, -73, -1, -127 in increasing order.\nAnswer: -270, -127, -73, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 17\/2*n**2 + 0*n + 14. Give q(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1922, -3454, -18192, -46972, -94474, -165378, -264364, -396112?\n\"Answer: -780*w**3 - w**2 + 87*w + 2616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 3*x, 0*x + 4*x - 16 = 5*a. Suppose -x*j + 11 + 1 = 0. Factor -2*y**2 + 8 - y - y**j - 8.\nAnswer: -y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 8*r**2 - 10*r - 4. Let t(w) = w**3 - w + 1. Let f(s) = 3*t(s) - y(s). Is 3 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + t = -1, 0*s + 4*s = -t - 1. Let o = 0.08 + -2.08. Let w = -0.2 - -5.2. What is the closest to s in o, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/176 and 17\/40?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a + 252. Suppose 4*u + 3 = a. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523 + 1001202?\nAnswer: 1000235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - r**2 + 1 + 0*r**2 + 4*r. Let m(d) = d - 2. Let y be m(5). Let l be h(y). Which is the closest to l? (a) 2 (b) 0 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + -22. Let b be -45*8\/g*3. What is the remainder when 41 is divided by 382\/b + (-34)\/153?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w + 2\/5*w**4 + 36\/5*w**2 + 16\/5 - 14\/5*w**3.\nAnswer: 2*(w - 2)**3*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10398 and 6932.\nAnswer: 20796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.2 and -0.15.\nAnswer: -13.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v**2 + 2*v**2 + 26*v**2 + (3*v - 2*v + v)*(7*v - 6*v - 13*v) + 3*v**2 - 2*v**2 - 3*v**2 - 3*v**2 + 2 - 2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p + 3. Suppose 2*m - 125 = -119. Let r(v) = -76*v + 20. Calculate m*r(u) - 20*z(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 times -95?\nAnswer: -14345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 8:02 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*q + 10323 + 285 = -33849. Calculate the remainder when q is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b + 2. Let c be v(-4). Let a = c - -21. What is the second derivative of 4*l - 7*l - l**2 - a*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*n - 14*n - 19*n - 15*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5700*j**2 + 11407*j**2 + j - 5722*j**2 + 27*j.\nAnswer: -15*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 12*a + 5 - 7*a + (1 + 3 - 5)*(-12*a - 79 + 79) + 4*a - a - a.\nAnswer: 17*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1498, -12151, -41078, -97417, -190306, -328883, -522286?\n\"Answer: -1523*n**3 + n**2 + 5*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 3 + w)*(19*w**2 + 5*w**2 + 14 - 10).\nAnswer: 24*w**3 - 144*w**2 + 4*w - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9094766*a**2*o**2 + 3*a*o**2 + 552*a*o + a + 68*o**2 + 2 wrt a?\nAnswer: -18189532*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/14 - 4\/(-14). Let n = -784 - -788.11. Let a = n - 0.11. What is the nearest to h in 5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12242 (base 12) to base 4.\nAnswer: -11333102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -140, -160, -172, -170, -148?\n\"Answer: s**3 - 2*s**2 - 21*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 526 + 531 - 69 + p + 418 - 207 as a*p + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 10*b - 10. Let j = 41 - 33. Calculate a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -19\/4, -3, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*u - 21, 3*x + 0*x - 32 = 4*u. Let d = -13 + x. Is d smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141777499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (3 + 2*sqrt(396))*3) + 5.\nAnswer: -108*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -8912, -1, 4 in descending order.\nAnswer: 50, 4, -1, -8912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*v + 8. Suppose 0 = -3*w + v + 2. Suppose x + w*a - 35 = 0, 5*x - 4*x - 5*a = 26. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110010011111110100011 + 1?\nAnswer: 101110010011111110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + d + 5*d - 3*d - 2. Let k be g(-2). Let t = 10 + k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, and 1 w when three letters picked without replacement from rrwrbrcyb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*b = 6, 4*d - 7*d - 3 = 4*b. Let q(r) = 30*r**3 - 31*r**d - 9*r**2 + 5*r - 18*r - 9. What is the units digit of q(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 2, -3 in descending order.\nAnswer: 16, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.22 and -99944837352.\nAnswer: -99944837352.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (69\/(-18) - (-5)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3902\/3601061 - 24754545081\/21996346502056. Let l = f - -2\/12517. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3871)\/(-35) + (-3)\/5 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -b - 23, -2*b + 7*b = 5*k - 95. Suppose 4*r = 3*r - 3, 4*r + 157 = 5*l. Let p = b + l. Calculate the remainder when 46 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g + 84. Let u be z(-5). Let c = -49 + 35. Let a = c + 52. Do a and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from rurrurrrrurr.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 207.\nAnswer: 5\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 4*f + 1. Let x(t) = -10*t**2 - 18*t - 4. Let y(l) = -7*v(l) - 2*x(l). Suppose -2*o + 17 = -1. Calculate y(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + 11 - -42) + 30 + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 u when three letters picked without replacement from {s: 1, y: 2, q: 1, u: 1, a: 2, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525037 and 17531.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 91, -0.4, 1, -2\/21 in descending order.\nAnswer: 91, 1, -2\/21, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*j + 707 + 1641, -4*k = -2*j - 4738. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362710684?\nAnswer: 2, 17, 89, 225167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o + 11. Let r be w(11). Let n = r - -523\/4. Which is the third smallest value? (a) n (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041055 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p - 16*p + 5 + 49*p - 5.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96756, -193542, -290314, -387066, -483792, -580486, -677142?\nAnswer: -773754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.02 + 0.02. Let o(i) be the second derivative of i**4\/12 + 7*i**3\/6 + 7*i**2\/2 - i. Let n be o(-5). Which is the smallest value? (a) h (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -4*t - 9*k + 8*k, -5*t + 475 = k. What is the smallest common multiple of 76 and t?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**41*d)\/d*d\/d**(10\/13)*(((d*d**(-2\/33))\/d)\/d)**(-2\/5) assuming d is positive.\nAnswer: d**(17870\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -48*l + 20. Let g(v) = -2*v - 5*v + 0*v + 3. Let n(w) = -3*b(w) + 20*g(w). Let a(p) be the third derivative of p**5\/60 - p**2. Calculate a(n(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 1076 + 2)*(-2)\/1. Let t = o - -3217. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 29439?\nAnswer: 853731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(425) + 2*sqrt(425)*4)*3 + 6*(-2 + sqrt(425))*5*3)**2.\nAnswer: -210600*sqrt(17) + 5850225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15036 - 3.\nAnswer: 15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 + 42*h**2 + 27*h - 52. Calculate a(9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45807, -45819, -45831, -45843, -45855?\n\"Answer: -12*y - 45795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + 0 + sqrt(112))*1) + 1 + (sqrt(112) - (sqrt(112) + -2)) + -1*((sqrt(112) - (sqrt(112) + 1) - sqrt(112)) + 2)*6)**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8 = 2*f + 45, f + 2*m + 5 = 0. Let c(d) = 2*d + 26. Let l be c(3). Let a be (l\/20)\/(4\/(-30) + 0). Is a less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 201246?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34341 - -34349. Let y be 2\/(-1)*3\/(-2). Solve -t + y*t = -f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(((sqrt(325) + 0)*-2 + sqrt(325))*2 + (2*sqrt(325)*5 - sqrt(325)) + 2*sqrt(325)*2)*4)**2.\nAnswer: -4400*sqrt(13) + 2516825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y**4*(((y\/(y*y\/(y*y**4\/y)*y))\/y)\/y)\/(y*y**(-2)\/y*y*y))\/((y\/y**(1\/4)*y*y\/(y*(y\/y**(-3\/5))\/y*y))\/(y*y**5*y*y**3\/y)) assuming y is positive.\nAnswer: y**(253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.58 + 0.3. Let o = g + 0.287. Let z = -5.993 - o. What is the second biggest value in z, 1, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 126471054.6 from 134647.\nAnswer: -126336407.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f**3 - 20*f**2 + 11*f**2 - f - 3 - 25*f**2.\nAnswer: 49*f**3 - 34*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 25909*v + 12799066. Give y(-494).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -10. Let c be 8\/o - 56\/(-306). Let j = 12\/17 + c. What is the nearest to -0.2 in 0.5, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -918821, -1837640, -2756459, -3675278, -4594097?\n\"Answer: -918819*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*w + 25 = 0, 5*m + 20*w - 9 = 17*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 33. Which is greater: k or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 + 4*c + 4. What is t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -126?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:54 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -30.2. Let o = -328 + 467. Let n = o - 139. Which is the second biggest value? (a) n (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-10)\/45*-21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1\/7, -0.43697, 3, -1\/3 in ascending order.\nAnswer: -33, -0.43697, -1\/3, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 + 66\/15. Let a = 33 + y. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, d: 5}. What is prob of picking 4 d?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43117 - -5.\nAnswer: -43112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.34, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -8. Suppose -f*t - 5*z = 1, 0*t - 6 = 3*t + 2*z. Is (3676\/t)\/(2\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 822486210?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + 1006*m + 0 - 9 + m**2 - 1007*m - 12. Determine f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21527 and 836.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6, 6, -214718, 3.\nAnswer: -214718, -6, -0.3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, -1, -1\/3, 5 in increasing order.\nAnswer: -1, -1\/3, -1\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1224 - 821 - 38102*b - 403 to a + v*b and give v.\nAnswer: -38102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.6684 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*t - 187*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -480691013.61+0.153\nAnswer: -480691013.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -165.0324. Let j = -2.0324 - s. What is the nearest to -1\/2 in 1\/4, -0.1, j, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1)*-3)**2.\nAnswer: 54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.41 minus 18.308?\nAnswer: -273.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)\/(((h\/h**6)\/h)\/h)*(h*h**(-1\/2))\/(h*h**(-5)*h)*(h**(-2)\/h*h\/(h**2*h*h*h))**(-1\/18) assuming h is positive.\nAnswer: h**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130421628 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/((m\/m**2)\/m)*((m\/(m**0*m))\/m)**(-37))**39)**(-44) assuming m is positive.\nAnswer: m**(-339768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 115*p = -5*i + 7, -i + p + 5 = 0. Factor 5\/4*f**2 + 0 + 1\/2*f - 1\/2*f**i - 5\/4*f**4.\nAnswer: -f*(f - 1)*(f + 1)*(5*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 9 = -g, -5*a = -g - 9. Let h be a\/(-11) + 52\/44. Let p be ((-6)\/(-9))\/(h\/18). What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/5 + 2\/5. Let l(j) = -j - 11. Let k be l(0). Let i = -0.7967 - -0.8967. What is the third biggest value in k, i, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozovbqbbboqoooqd. Give prob of picking 1 d, 1 b, and 1 o.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1024 divided by 1.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -13*v + 10*v - 3*y, -5*y + 30 = 4*v. Solve -v*i + 2 = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -179, -609, -1455, -2855?\nAnswer: -4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13878 - 308707169.\nAnswer: -308693291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 4 - 4)*(5 - 5*r - 5) - 41*r**2 - 42*r**2 - 40*r**2 to the form n*r**2 + p + t*r and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9634899 years in millennia?\nAnswer: 0.0009634899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 6 + 163*q - 6 - 10 as s*q + n and give s.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(12\/(-1134)). What is the units digit of ((-48)\/10)\/(f\/(-840))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 41*d + d**3 + 4*d - 92208 - 38*d.\nAnswer: d**3 - 92208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.206, -13, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**7\/210 + t**6\/40 + 37*t**2\/2 + 267. Let y(l) be the second derivative of b(l). Solve y(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67653 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. Suppose p*i - 5*q - 35 = 0, 3*q = i - 12 + 1. Suppose -2*m + k + 72 = 0, i*m - 175 = -3*k + 16. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - -1) - (-154)\/((-349888)\/2698)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-4)\/8*-48. Suppose 3*v + v = x. Solve 0 = -a + 2*q - 2, 2*q = -a - v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 2*q**2 - q. Let b be ((-2)\/(-1))\/((-4)\/2). What is the units digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1842, -3\/7, -472?\nAnswer: -0.1842","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131990125 divided by 895?\nAnswer: 147475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6885 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 1)*(-4)\/182*-13. Let z be 80\/352*(q - (-16)\/5). Which is the fourth smallest value? (a) 5 (b) 0.13 (c) z (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 623\/792 + 9\/88. Factor -c - 2\/3*a**2 - 26\/9*a.\nAnswer: -2*(a + 4)*(3*a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/6*(-136)\/122 and (18\/(-48))\/(9\/508)?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4020)\/50*((-30)\/4)\/1. Calculate the greatest common factor of a and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 - 10*u + 15 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 104393 = -28161. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a - a + 4*a - a. Suppose -3*h - r + 577 = 4*r, -h - 4*r + 204 = 0. Let v(z) = 3*z - 184 + h. Calculate v(d(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let t(h) = 3*h**3 + 5*h**2 + 3*h + 6. Let i be t(-4). Let u = -1063\/9 - i. Which is the nearest to n? (a) u (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 274. Suppose u - 25 = -2*y + 30, -3*u + 2*y = -197. Let a = o - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at least -319082\/7031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25*o - 321. Determine p(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*b + 40586 = 116*b. What are the prime factors of b?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 920 and 18584.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 29*h**2 + h + 31. Let y be w(-29). Sort y, 3\/2, 0.1 in descending order.\nAnswer: y, 3\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5\/2 + 35*v**4\/2 - 303*v**3\/2 - 391*v**2\/2 + 2890*v = 0?\nAnswer: -4, 0, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-100884)\/(-420) + 1\/(-5) and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34703020 to the nearest integer?\nAnswer: 5891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.3, 3, 4\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 113130?\nAnswer: -113233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1872*z**4 - z**2 - 13063*z.\nAnswer: -22464*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 25 = -5*l. Let g = -26 + l. Let n be (10 + g)\/(0 - -14). Is 1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 1004272008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245851 is divided by 2299.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-14))\/(-21*(-27)\/5670)*(-102)\/15\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4961 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/8*272\/(-170). Sort 3, s, 0.4, 1 in descending order.\nAnswer: 3, s, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*c = -47, -3*m = -3*c - 5 - 4. Let j = 30 - m. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*v + 152 = 35*m, 0*m - 38 = -2*v - 3*v - 2*m for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/13 (b) 0.5 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1687714 and 6750856.\nAnswer: 6750856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -0.1 (b) 7\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p - 72*p + 2 + 14*p + 19*p + 16*p + 95*p**3 in the form y + b*p**2 + j*p + q*p**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9582, 9595, 9616, 9645, 9682?\n\"Answer: 4*c**2 + c + 9577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (233*m**2 + 305*m**2 - 20*m**2)*(-4*m**2 + 4*m**2 + 1 - 2*m**2) + 4*m**2 - 4*m**2 + m**4 to b*m + p*m**2 + d + w*m**4 + l*m**3 and give p.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -195 (b) -1\/8 (c) 1\/328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/7252)\/((-10)\/(-21))*2?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225693971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -4*d. Differentiate -d + 4*m**2 - 3 + 4 wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.2 + 10. Let p = -1345 - -1341. Put p, h, -3\/8, 26 in decreasing order.\nAnswer: 26, h, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 104\/9 and 36\/179 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + 15 + -11 - -3) + 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -6 + -2 + (196 - 194).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140148?\nAnswer: 2, 149, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -23447?\nAnswer: 23444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298b (base 12) to base 6.\nAnswer: 34255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1437 = -1388. What is the thousands digit of (-4348*n\/(-28))\/(-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + y**2 - y. Let v be 2\/(-6)*(-2 + -1). Let t be o(v). Suppose -j + 0*j = 4*x - 15, -x = j. Sort -0.4, x, t in ascending order.\nAnswer: t, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -646 + -5.\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65, 272, 615, 1094, 1709, 2460?\n\"Answer: 68*j**2 + 3*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let p(c) = c - 16. Let m(x) = p(x) + 4*y(x). Let n(i) = i - 3. Let l(a) = -2*m(a) + 9*n(a). Calculate l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*u + 2 = 0, -h + 2*u + 5 = -1. Let z be h\/28*(2 - -6). Let l = -0.1 - -0.2. Which is the closest to l? (a) -1 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 - 308*a**4 - 3563*a**4 - 50*a**4 + 40)*(-15 - 9 - 9) to the form s*a**3 + o*a**4 + g + i*a**2 + q*a and give o.\nAnswer: 129393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) + (-2*1*sqrt(1368) + sqrt(1368) - sqrt(1368)) + sqrt(1368))\/(sqrt(98) - -1*sqrt(98) - -2*sqrt(162)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(80) + -4 - sqrt(80) - (0 + 1*sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80))**2 - (0 + 4*(6*sqrt(80)*1 + sqrt(80)))**2.\nAnswer: -63044 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7986*a + 21550*a + 94948 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65492268 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4593421383 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-54)*(-18)\/30. Let m = 14 + 2. Suppose -5*b + m - 16 = 0. Is v greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dns when three letters picked without replacement from wwsinwninnwnsndns?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/90)\/7)\/(3\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20*c**5 + 14605*c**4 - 1450790*c**3 + 20530425*c**2 - 63491760*c + 14612400 = 0.\nAnswer: 1\/4, 4, 12, 99, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.95374 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(224\/(-24))\/(-7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11388 and 104682?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 15. Is 10 a factor of j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n + 196. Give k(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21482029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*r + 3*t, -r - 3*t + 1 = -19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 0. What is the common denominator of -21\/10 and 8 - s - (-23)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 66 = 5*t + 347, t + i + 83 = 0. Which is smaller: t or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000800970891 to seven decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536 (base 14) in base 12?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*d + 117, -5*d + 2*d = 3*q - 75. Solve 3*m + 3*m - d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*z - 1 = 4*m, 4*z + 2 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 33235341?\nAnswer: 33235321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w**5\/9 + 38*w**4\/9 + 10*w**3\/3 - 50*w**2\/9 - 38*w\/9 + 4\/3 = 0. What is w?\nAnswer: -3, -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3324*m*s**4 - 428*m*s**3 + 678*m*s**2 + 132*m - 14*s wrt s?\nAnswer: 79776*m*s - 2568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81, -163, -245, -327, -409, -491?\n\"Answer: -82*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, t: 3}. What is prob of picking 2 k and 1 t?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 245*y - 15623. What is r(58)?\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11 and 55\/8312.\nAnswer: 91432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -160\/7*n**2 + 0*n - 4\/7*n**3 + 0 = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/4 (b) -0.009 (c) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f + 65. What is the remainder when g(7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*j - 169 + 111*j - 47*j + (0 + 0 + 2)*(-j - j + 0*j) - 2*j + 3*j - 2*j.\nAnswer: -2*j - 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(3\/5)*h*h*(h**8*h)\/h*(h*h\/h**(4\/5))\/h**(2\/7)*(h**(-2\/25)\/((h\/(h*h**(-6)*h))\/h))**40 assuming h is positive.\nAnswer: h**(-5274\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 4*f)*(-1 + 2 - 3) + (-2 + 2 + 5)*(-7 + 7 + 5*f).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, -1\/11, -11\/3, -3, -2 in descending order.\nAnswer: 4, 0.1, -1\/11, -2, -3, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.6 - 10. Let g = -24.986 - 0.014. Let p = g - -24.8. Which is the second biggest value? (a) z (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.19 and -56014351248.\nAnswer: -56014351247.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288 + 191. Let h = 97.4 + z. Which is the fourth biggest value? (a) 3 (b) 1\/2 (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 1. Let i(z) be the first derivative of 3*z**4\/2 + 2*z**3\/3 - z + 4. Let l be i(r). Solve -2*p = 5*m - 10, -4*m + 3*p - l*p - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(5*20\/(-200)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 107092810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10ca2 - b838?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:18 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:37 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 156? (a) -19 (b) -0.9 (c) 0 (d) 1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -9. Is m\/12 + 7037\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -2*p + 384. Let w = 15 + -1. What is the smallest common multiple of w and p?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361682, 361670, 361646, 361604, 361538, 361442, 361310, 361136?\nAnswer: 360914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 3*z)*(6*z**4 - 29*z**4 + 9*z**4).\nAnswer: -28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4) + 3 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 456*n + 170765. Give d(244).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 6749.\nAnswer: -6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -38*q**3 + 3533*q**2 + 125*q + 10. What is y(93)?\nAnswer: 2986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41586 is divided by 756.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 35*q = -39*q - 510959, 3*q - 510994 = -y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31199 - 31196. What is h in 0 - 12\/5*h**2 - 4\/5*h**f + 16\/5*h = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 26*m**2 + 2. Let y be u(-26). Suppose -y*s - 42 = -64. Calculate the remainder when 51 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 5\/((-10)\/(-12)). Let m(h) = -4*h + 1. Let t(u) = 7*u - 1. Let q(w) = -5*m(w) - 3*t(w). Let v(j) = 1 + 2*j + 3 + j. Determine b*q(y) + 3*v(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 227745391*q + 227745391*q + 7*q**2 - 16*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/972)\/((-1)\/9*-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 112?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122493\/11 - -11131. Suppose 5*z = z - 24. Let k = -11 - z. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 17950436?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 153*c**2 + 90*c + 2096. Calculate the least common multiple of 258 and y(-76).\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/3, -0.65, -12, -1\/5?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -13, -14, -17, -22, -29, -38?\n\"Answer: -o**2 + 4*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -159*z + 161*z, 4*s + 26 = 2*z. Let j = -0.48 - -3.98. Which is the fourth smallest value? (a) j (b) 1\/4 (c) z (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*a + 116 + 44 - 44 = -15*a, -65 = -3*a - 92 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, 6 in decreasing order.\nAnswer: 11, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, 241\/6, 17\/5, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -28. Let h = 42 + d. Let g = -23 + h. What is the nearest to 1 in -0.5, -7, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76284 divided by 6\nAnswer: 12714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + 5 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -1\/12 (b) 0.02 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 15185\nAnswer: 2\/15185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - (53 + -13 + -22)) + 5 + -16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikik when four letters picked without replacement from {i: 11, s: 3, k: 2, d: 3}.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 37. Suppose 0 = 3*x, -3*x + f = 3*r + r. Is r*(-5)\/(15\/(-6)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104488 by 1.\nAnswer: 104488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxx. Give prob of sequence nx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2212122?\nAnswer: -2212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66692 + 176231. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*h + 4*r, h + 5*r - 33 - 5 = 0. Let l = -45 + 7. Let s = -1 - l. Calculate the remainder when s is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wwwwwwwjwjwiiwiww.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1138988 (base 13) to base 6\nAnswer: -305354522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/20 - 242*s**2 + 3. Let a(z) be the third derivative of -z**5\/20 + 2*z**2. Determine a(d(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15487913 to the nearest integer?\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.375 + 176.185. Let d = -28 - 113. Let i = d + h. What is i rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 2, -3, -87, 0 in descending order.\nAnswer: 85, 2, 0, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -5162\/7, 3\/7.\nAnswer: -5162\/7, 1\/12, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 13*r**2 - 35*r. Let l be n(8). Calculate the highest common factor of l and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/10*9295\/429. Solve q*d = 76*d - 164 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -11 - -16 - 13 - -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)*(-2)\/(8\/28). Calculate the greatest common divisor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 + 3*x**2 - x - 1. Let n be h(1). Suppose -8 = n*u - 10*u. Suppose 4*z = -126 + u. Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420041 is divided by 120.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4194669 to the power of 1\/2, to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1911, 3800, 5695, 7596, 9503, 11416?\n\"Answer: 3*p**2 + 1880*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -4*h + h**2 - 3 + 4*h - 2*h + 5*h. Let m(o) = -o - 1. Determine -3*m(c) - y(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -52.3. Which is the nearest to -2\/3? (a) -1\/6 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122839249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 252, 1\/3, 2\/13 in ascending order.\nAnswer: 2\/13, 1\/3, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34c3c (base 15) to base 3\nAnswer: 22112122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143\/(-308)*-1004*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2 - 14. Suppose 2 = -f + u. Suppose -f*y + 517 = 127. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or 38\/7?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84227301 to the power of 1\/2, to the nearest integer?\nAnswer: 9178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + (-2)\/1. Let i(f) = -2*f - 1. Let o(u) = -7*u - 4. Let j(g) = 9*i(g) - 2*o(g). Calculate j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805961307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/8))\/(k\/k**(4\/9))*k**1*(k*k\/(k*k**(4\/19)))\/k)**(-2\/89) assuming k is positive.\nAnswer: k**(-2543\/60876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(33927\/5260)*7\/(70\/(-24)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*g + 2 - 45*g - 36*g**3 + 11*g**4 + 33*g**3 to b*g**3 + o*g**2 + j*g + f + v*g**4 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aafa when four letters picked without replacement from ffafaaff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56558.6 litres in millilitres?\nAnswer: 56558600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1092 - 91 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6645681405 + -6645682097.9999719. Let a = c - -693. What is a rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3660*g = 3811*g + 962 + 4172 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*q - 618 = 5*x + 201*q, 2*x + 54 = -2*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/(-9)*(-18)\/54. Suppose 2*u - 6 = 5*t - 37, 3*t - 2*u = 21. Let g(p) = -2*p**2 + 15*p - 5. Let y be g(7). Put y, -2, t, i in decreasing order.\nAnswer: t, y, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {x: 4, r: 1, g: 3, y: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13*g**3 + 2*g + 1. Let a be l(-1). Let s be (75\/6 - 0)*16\/10. Let i = s - a. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3924559339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4011, 32092, 108287, 256650, 501235, 866096, 1375287, 2052862?\nAnswer: 2922875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 22*l**2 + l - 6. Let y be 70\/(-7)*(-10)\/(-20). What are the prime factors of r(y)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1)\/((-565)\/(-141) + -4). Is 2\/9 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -5.5?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 199.09 from 0.4.\nAnswer: -198.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -1361, -1694, -2027, -2360?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13288 - 503?\nAnswer: -1378b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 11*g**2 + 11*g + 3. Is 11 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/32)\/(((-171)\/18)\/19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 185*o**2 - 612*o + 175. What are the prime factors of u(6)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2704 - 290. What are the prime factors of n?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -3, -13, 3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 5. Let v be d(3). Put 5, v, -1 in descending order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 111. Let x = -6 + 10. Sort x, s, -5 in increasing order.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 4 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + (-9)\/(-30). Sort 0.5, -4, p in descending order.\nAnswer: 0.5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 4. Let p(r) = 2565*r**2 + 1824. Give p(l) + 456*u(l).\nAnswer: 2109*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**6\/45 + 52*z**3\/3 - z - 68. Let j(g) be the third derivative of m(g). Let x(q) = -5*q**2. Determine j(x(t)).\nAnswer: 200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - -72. Let a = b + 16. Solve -a*o - 14 = -0*o + 4*j, -4*o + 5*j + 33 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -5da8?\nAnswer: 5da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35600.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 (base 14) in base 4?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000156122 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 268685, 537317, 805905, 1074455, 1342973?\n\"Answer: v**3 - 28*v**2 + 268709*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t + 12*t - 4*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26 = 3*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*p = -156*p. What are the prime factors of (-42700)\/(-122)*((-6)\/(-5) + p)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + (57 - 43))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/25, -3.1, 2, -4, 9, -2.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 874632 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/2 + 7*j**3 - 5*j**2 + j - 2. Let g be k(10). Put g, -5, -6 in decreasing order.\nAnswer: g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 16*j - 13*j + 22, -3*j = -3*w + 42. Let n(k) = 20404*k - 40. Let h be n(w). Round h to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/228 and -21\/418?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533022.\nAnswer: 2, 766511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 13*z - 49. What is i(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51250\/(-3 + 65\/20). What is i rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -37*v**2 + 2*v - 14. Let r(g) = -56*g**2 + 3*g - 22. What is 5*r(b) - 8*u(b)?\nAnswer: 16*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*i + 803*i + 518*i - 43*i.\nAnswer: 1676*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -754 - -2257\/3. What is the nearest to -52\/3 in -5, 2, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*504\/700*20\/(-12))\/((-2)\/7).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508480\/16 + 1*-11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -282, 0.19, 295\/9, 2\/3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -2 + 18 + (-9)\/(-3). Let j = 7 - o. What is the least common multiple of ((-48)\/15)\/(j\/25) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700383584 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-595*s - 1663*s - 713 + 714)*(2*s**4 + 3*s**4 - 4*s**4 + (2*s + 2*s**2 - 2*s)*(0*s + 0*s - 2*s**2)).\nAnswer: 6774*s**5 - 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - k + 2*k. Let g(d) = -6*d**2. Give g(t(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*k**3 + 11*k**3 + 9756 - 9758 to the form y*k**3 + o*k + m + i*k**2 and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -982 + 3927\/4. Let n = -1 - 2. Let g = -1.5 + 1.49. Which is the smallest value? (a) g (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78566699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s - 85. Let n be h(11). Let q be (12\/10)\/(3\/(-10)). Let t = q - n. What is the smallest common multiple of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 55437.39?\nAnswer: 33262.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l - 414. What is d(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 9. Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygyr when four letters picked without replacement from {r: 1, o: 4, g: 3, y: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110434902, 110434903, 110434904, 110434905, 110434906?\n\"Answer: m + 110434901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -158, -14, -31 in descending order.\nAnswer: -6, -14, -31, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 16 + 1. Let x = i + 96. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(-6*(sqrt(108) - sqrt(3)))*2)\/(((sqrt(2880) - (-1*sqrt(2880) - sqrt(2880)) - sqrt(2880)) + sqrt(20))\/(sqrt(4) + sqrt(100)*-1)).\nAnswer: 4*sqrt(11)\/375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9094 in -5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3)*27\/(-15). Solve 5*z + 1 - s = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 367 = 566. Let g(i) = 1 - 1 - 308*i**2 + m*i**2. Let q(r) be the third derivative of -7*r**4\/12 + 5*r**2. Determine q(g(t)).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 - 13*u**2 - 13. Let d(t) = t**3 + 3*t**2 + 1. Let g(z) = -4*z**3 - 9*z**2 - 2. Let x(r) = 14*d(r) + 4*g(r). Give 6*m(c) + 13*x(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 60, 81?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (2 + sqrt(117) + sqrt(117) + sqrt(117))**2 - -5*-1*sqrt(13).\nAnswer: 32*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 + 3*c + 8. Let f(p) = -4*p**3 + p**2 - 3*p - 6. Let z(k) = -4*f(k) - 3*l(k). Suppose 3*h - 2*o - 3 = 0, 6*h - 6 = 2*h + 2*o. Calculate z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 23. Let h = 12 + p. Find the third derivative of -2*f**2 - f**h - 10*f**2 + 0*f**5 - 7*f**5 wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121000202 + -2112?\nAnswer: 10120221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14 - 2 = 0. Solve 6*j = 10*j + 3*p + 3, -p = -j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 15*z. Let k(h) = 7*h**2 + 1625*h. Calculate o(k(n)).\nAnswer: 105*n**2 + 24375*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257942*r**4 + 27*r**3 + 554913123*r wrt r.\nAnswer: -3095304*r**2 + 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650997 and 10659.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -28. Suppose -h*r = -3*r + 2. Solve 0 = 4*v - r*a + 7*a + 7, 0 = 4*v - 4*a - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3536 + 5395. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342916348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32979*l**4 + 47701*l.\nAnswer: -395748*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 226*m + 213. Calculate k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 n when three letters picked without replacement from zbnzkn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - 2402242?\nAnswer: -2402122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/(-10))\/((-50)\/(-4680)). Is 232 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -11043\nAnswer: -33129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-5)*6\/9. Suppose 28 = -4*v + 4*d, -c*v + 13 = 3*d + 48. Let w(b) = b**2 - 4*b - 6. Does 26 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-14 + -8)) + 10 + 0 - 55\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 27 = -5*b, u - 51 = -4*b - b. Let p = 814 + -528. Calculate the greatest common divisor of p and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*n - 62*n = 12211 + 9943 for n.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525 (base 6) in base 8?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 2356 = -18707. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.3 (b) 15 (c) -5 (d) -3 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) - (-4)\/(16\/(-17)). Let l(m) = m + 9. Let d be l(u). Solve -d = 4*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/20 - 8*h**4\/3 + 25*h**3\/6 - 175*h**2. Let f be v(21). Solve 44*b - f = 42*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 28 + (-5 - -6) + 12 + -27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220041829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 25*m - 32 = 0. Suppose 0 = -8*n - m*n + 80. Calculate the least common multiple of n and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p - 6. Let f be a(-3). Suppose -f*z - 21 = -84. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5302862*b**4 + 4701709.\nAnswer: 21211448*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26613?\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6485779390 to the nearest 1000000.\nAnswer: 6486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/(-1))\/(-35*(-1)\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 4, 5, 43\/2.\nAnswer: -1, 0.4, 4, 5, 43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 125?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 32*s**2\/5 - 42*s.\nAnswer: 2*s*(s - 21)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12357961 by -1765423.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -487\/4, -0.4 in increasing order.\nAnswer: -487\/4, -118, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a**2 + 201*a - 201. What is c(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:23 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5785164 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1240?\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*l**2 - 4)*(30 + 33 - 16).\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30794.9 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*z**4 - 1 - 1)*(-14 + 6 + 9)*(-12*z - 8*z + 8*z).\nAnswer: 36*z**5 - 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + 6.92. Let w = -9 + u. Suppose 5*x + 2*h = -3*h, 0 = -4*x + h. Which is the third smallest value? (a) x (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.086 (b) -2\/9 (c) 12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1517 and -40.14?\nAnswer: 60892.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014239609 rounded to 6 decimal places?\nAnswer: 0.001424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 30. Let x = -5 + k. Sort x, 2, -2 in increasing order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*a + 101, a - 1 = -0*a. Suppose l + c = -1. What is the common denominator of l and (-9499)\/2530 - 18\/(-60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.1, -11.2, -6.\nAnswer: -11.2, -9, -6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 70*t**2 + 139*t + 688. Calculate b(72).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3*(-72)\/252.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1686 + 1671. Let m be (-1 + 2)\/((-1)\/(-44)). Let s be h\/10 + m\/8. Put s, -12, -3 in increasing order.\nAnswer: -12, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1.2, 3, -1\/24, -0.09, 0.5, -5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3\/11, 1, -360\/73, -5.\nAnswer: -5, -360\/73, -3, -1, 3\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:44 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.310458 to 1 dp.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117934827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.973 + -26.173. Let z = -4 - -7.6. Let m = 4 - z. Which is the smallest value? (a) d (b) m (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(-564)\/16*1\/(-18) and 43\/(-6)*(3 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2084 + 2083.8642. What is j rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + -8 - (3 - 19) - 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/5993 + 137823\/47944. What is the common denominator of d and 163\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**6\/360 - x**5\/120 + 2*x**3\/3 + 3. Let m(n) be the third derivative of j(n). Determine m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s**3 + 57 + 55 - 113. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 7, -4 in descending order.\nAnswer: 7, 3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:08 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4668 + 0.0744. What is v rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -3*g. Let t be 3\/(-4)*-4 + g. What is the closest to -2\/3 in -4, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205*-5.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w - 7412 = -163*w. Which is the biggest value? (a) 46\/7 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 15495*m**2 + 15494*m.\nAnswer: m*(m - 15494)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 419, 581, 857, 1253, 1775, 2429, 3221?\n\"Answer: i**3 + 51*i**2 + 2*i + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98670939 to the power of 1\/2, to the nearest integer?\nAnswer: 9933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1225\/(-50))\/(14553\/(-1485)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 46*l + 13 = -43*l, 0 = 2*l - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose -h = 3*m - 5, 0*m + l = m - h. Solve -c = m*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*l**3 - 3326700*l**2 - 3213538560*l + 120038215680.\nAnswer: -5*(l - 36)*(13*l + 25824)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2594 and 250321.\nAnswer: 500642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 392, 182, -170, -664, -1300, -2078?\n\"Answer: -71*n**2 + 3*n + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137804 - -95498155\/693. What is the common denominator of -95\/24 and h?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-8 + 8 + u) + 3*u + u - u to the form g*u + a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.854453 rounded to one decimal place?\nAnswer: 50.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11202031423 (base 5) to base 2\nAnswer: 101111110011111001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 1)*(-2 - -1). Let a = -8 - r. Let c be (-1 + 0)\/(2\/(-10)). Put 3, a, c in decreasing order.\nAnswer: c, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2000) + sqrt(2000)*1 + sqrt(2000) - (-3*sqrt(2000) + 3))**2.\nAnswer: 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:23 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6549806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 0, 9\/8, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11197 (base 10) to base 15.\nAnswer: 34b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 8165?\nAnswer: 8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 6*o - 24. Let y be x(-4). Suppose -6*h - 450 = -y*h. Calculate the remainder when h is divided by (16\/(-6))\/(1\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1330*n**3\/3 - 3310*n - 3852. Differentiate m(g) wrt g.\nAnswer: 2660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*n + 2337 = 160*n. Solve 10*j + n*r + 7 = 9*j, 5*r = -j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1172 + 1a019?\nAnswer: 20190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o + o)*(-223 + 432 - 216).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/((k\/(k**40*k)*k*k)\/k))\/((k\/k**(6\/5))\/k*k**(-2\/121)) assuming k is positive.\nAnswer: k**(192833\/4840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6320 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.86*0.1.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/624545 - 63078597\/139898080. What is the common denominator of -157\/588 and h?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4328 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5040670934 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) 0 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b63c (base 15) to base 2.\nAnswer: 11000010110011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286500\/6876 + 8\/(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1170 to the nearest 10.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h + 2 - 2. Let d be (-1)\/(4*4\/64). Let j(l) = -1. Let t(q) = -3*q + 4. Let n(v) = d*j(v) - t(v). Give x(n(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 28, 0.5, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*d - 119*d + 183*d)*(2 - 2 - 1 + (-4 - 7 + 7)*(1 - 1 + 2)).\nAnswer: -873*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 5*z + z**3 + (-14*z**2 - 6*z**2 + 13*z**2)*(6*z - 3*z - z) to the form g*z**3 + t*z**2 + y + d*z and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Suppose 4*s = 5*o - 11, -1 = 4*s - o - 2. Which is the nearest to s? (a) z (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295430, 295437, 295444, 295451?\nAnswer: 295458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6902*p - 13135*p - 22848 = -6947*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 384, 486, 608, 744, 888, 1034, 1176, 1308?\n\"Answer: -h**3 + 16*h**2 + 61*h + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3.7, 4, -2\/13 in increasing order.\nAnswer: -2, -2\/13, 3.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0206602 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:29 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:17 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 487629 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83119?\nAnswer: 43, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*n\/n**(3\/2)*((n*n*n\/n**(-2))\/n*n)**(3\/8) assuming n is positive.\nAnswer: n**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140201451 + -1?\nAnswer: -140201452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*q - 708*q - 451 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 58. Let h = 1071 + -1073. Which is the closest to -2\/9? (a) i (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = 5*i. Let v(x) = -x**2 + 2*x - 1. Let j be v(i). Suppose 3*o - 1 - 38 = j. Calculate the remainder when 24 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -2\/11, -1, -4, -7.2, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/151 + -146\/755. Put t, -0.4, 5 in ascending order.\nAnswer: -0.4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrwwrrrrrrr. What is prob of picking 2 r?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.990838 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -1, -2\/3, -3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 1253443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + (0 - (4 - 8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 69.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20 and -101\/2746.\nAnswer: 27460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12866.\nAnswer: 2, 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48801695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 301?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1957500 to the nearest 10000.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 6*l**2 + 6*l - 6. Suppose 44 - 20 = 6*q. Calculate m(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 22988393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -28*s**2 - 3*s - 72. Let q(d) = 141*d**2 + 16*d + 384. Let b(x) = 3*q(x) + 16*y(x). Let o(h) = -25*h**2. Give 4*b(u) - 3*o(u).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f + 33. Is h(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1\/12)\/((-2)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - -8. Let l = -2244 - -2256. What is the greatest common divisor of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 117 - 4*h - 106 + h. Calculate i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, -788438, 1 in increasing order.\nAnswer: -788438, -5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*j - 21 - 0, -4 = 2*j. Solve a = -k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.47207097 rounded to one dp?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 181*j. Let o(t) = -132*t + 1 - 564*t - 210*t. Let y(h) = -2*o(h) - 11*s(h). Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 299 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 - 33121*j - 350. Calculate i(181).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*m - 224*m + 436*m - 2108*m**2.\nAnswer: -2108*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.17.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 50*h + 252. Let a be j(-18). Solve a = -3*n - 62 + 56 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471990987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -54 (b) 3 (c) 1\/6 (d) 1\/8 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -4, -5, -0.99, 9.1?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 29*k = 14. Solve k = r + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*s + 13 = 0, -3*x + 3*s + 96 = -s. Let j be (2\/4)\/(42\/x). Determine q so that j*q**3 + 2\/3 + 4\/3*q**2 + 5\/3*q = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwcmwmwwxwwwmx. What is prob of picking 1 x and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 796227.9km in micrometers?\nAnswer: 796227900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in 0.1, 5, -0.3, -3, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*z - 377*z - 7425 = -183*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(2\/42). Suppose 8*r + 10 = 3*r. Let p = r + u. Which is the biggest value? (a) -0.1 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2*(-4)\/(-840)*-5.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 times -18\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhg. What is prob of sequence hg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 997976*h**4*x + 6*h**3 + 4685*h**2*x + 2*h**2 - 2717 wrt h.\nAnswer: 23951424*h*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217959563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.0489 millennia to centuries.\nAnswer: 400.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-394)\/26 + 3\/((-819)\/(-42)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 4, p: 1, h: 2}. What is prob of picking 2 o and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 69. What is the remainder when 690\/8 + (-3)\/12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*i + 0 - 2*i - 2*i as x + y*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1705 - -2554. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113856463 divided by 56281\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 4. Let a be p(5). Suppose 2*q - 14 = 4*k, -8 = -4*q - k - k. Put a, 1, q in descending order.\nAnswer: q, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -5.9999896. Round q to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**8\/2800 - k**6\/200 + k**5\/100 + 22*k**3\/3 + 9*k**2 - 5*k. Let t(d) be the first derivative of u(d). Factor t(p).\nAnswer: 3*p*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.038, 0.2672 in increasing order.\nAnswer: -0.038, 0.2672, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132 and 9.9521056.\nAnswer: 141.9521056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142263 is divided by 1282.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiijjyi. Give prob of sequence jii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2454648 and 2454652 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 40 = 5*p, a = p + 8. Let w(n) = n**3 - 14*n**2 + 14*n - 11. Let t be w(a). Solve 3*f - 2 = -t*r, -3*f + 4*f + 10 = 2*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231472939?\nAnswer: 3, 53, 14034421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*o + 4 - 18, -o + 5*c = -13. What is the closest to -1 in 0.4, o, 5, -96?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727551 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -75*m - 5. Let b be (-80)\/(-20) - 1*5 - 2. Does 20 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20475275.\nAnswer: 5, 397, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/3 + 27*y. Let q(z) = -2*z - 2. Give n(q(k)).\nAnswer: -4*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.81 - -0.19. Let g = -4 - -2. Which is the closest to g? (a) -0.5 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 32*o**2 + 8*o - 259. Give m(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -475, -710, -945, -1180?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5799403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwzxzzzzzzttutzzzt. Give prob of sequence uwtz.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 35 - 15. Find the second derivative of f*q**4 + 6 + 143*q**3 + 3*q - 143*q**3 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6013*v - 6030 wrt v.\nAnswer: 6013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*p - 158, 4*i + 243 = 3*p + i. Suppose k + 2 = -3*m, 3*m - 17 = -3*k + 1. Calculate the highest common divisor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 30*t**4 - t - 7 - 2*t + 17 - 145*t**4 wrt t?\nAnswer: -2100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 6. Give r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16890858 is divided by 24730.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 70734, 0.2, -41 in decreasing order.\nAnswer: 70734, 0.2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 228?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*h - 6, h = -a + 6*h + 2. Suppose -2*k + 16 = -a*b, k = -0*k + 4*b + 2. Let q be (-2)\/k*6\/3. Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -0.2 (c) -3 (d) -29 (e) 1\/2 (f) -1.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by -31\nAnswer: 121\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5 + 5806*l**4 - 104293*l**3 + 631144*l**2 - 1458772*l + 1134448 = 0.\nAnswer: 2, 7, 5788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7636 + 15196 - 7560 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5*(-740)\/(-74))\/(44\/(-154))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 + 5*x + 8*x**2 - 4*x + 9*x in the form l + p*x + d*x**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9196742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1190644*c**4 + 299581.\nAnswer: -4762576*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8334 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3306 = -2459*d + 2345*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vff. Give prob of sequence fv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-198665.\nAnswer: -9933.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -699*t**5 - 2*t**4 + 2397*t**2 + 478187642*t.\nAnswer: -13980*t**3 - 24*t**2 + 4794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 13, v: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 8. List the prime factors of w(-13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-10))\/((-2)\/(-8)). Suppose 17 = -5*q - 8. Let w = j - q. Is w >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 - 10*z - 2. Let l be o(-7). Let a = l + -8. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {l: 1, x: 4, q: 3, c: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 + 34?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3481740, -6963508, -10445348, -13927296, -17409388, -20891660?\nAnswer: -24374148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7022945 to 3 decimal places.\nAnswer: 0.702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4978 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(120\/5)*-44. Which is bigger: 19\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 - 260*r**4 + 2991*r**3 + 2*r**2 + 1532913*r wrt r?\nAnswer: 120*r**2 - 6240*r + 17946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30\/(-3))\/(2\/(-7))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 18\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 18791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6246453257 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.671795 litres in millilitres?\nAnswer: 671.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4164927, 4164988, 4165047, 4165104?\nAnswer: 4165159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.66, 2\/3, -2.\nAnswer: -2, 2\/3, 3.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 9*u - 10. Let r be k(7). Suppose -r*j + 9 = -j. Let s(y) = -y**2 + 4*y. Calculate s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 2, m: 2, o: 2, u: 2, i: 1}. What is prob of sequence owui?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1.3, -0.1, 85 in decreasing order.\nAnswer: 85, -0.1, -0.5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 65 + 2300*z.\nAnswer: 2300*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*y = -6148*y + 17745 + 172159 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 364 + 276 + 46 + 9*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000579215 rounded to six dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/1274*8\/(-30).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a year in months?\nAnswer: 352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.2, -0.01, -1\/2, -0.19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 2 w when four letters picked without replacement from wwffwwzwwwfwf.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -16. Suppose -l = -k + 11. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00082197988 to five dps.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h. Let f(m) be the first derivative of -3*m**3 - 5*m**2\/2 + 957. Determine 5*d(z) + f(z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, f: 11, l: 2}. What is prob of picking 1 f, 1 z, and 1 g?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 4, 3 in descending order.\nAnswer: 4, 3, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-4*q + 0*q + 7*q)*(-1 + 0 + 2)*(-q - 3*q + 6*q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 + 546*f\/5 - 44 = 0.\nAnswer: -55, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 13*x + 15. Let w(o) = -4*o**2 + 7*o + 8. Let r(j) = 3*p(j) - 5*w(j). Solve r(s) = 0 for s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7272 divided by -404\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/3)\/3*11419\/2404.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1010 - 2749. Is 10 a factor of b\/77 + (-4)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 25*r**6\/6 + 3*r**5\/5 - 44*r**2 - 4*r + 697. Find the second derivative of d(w) wrt w.\nAnswer: 500*w**3 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p + 45*p**2 - 185*p + 93 - p**3 + 50*p**2.\nAnswer: -(p - 93)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39623 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(20\/(-46)) - (-1 + -3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -21.58. Let n = 0.32 - c. Let a = 159\/8 + -20. What is the second biggest value in n, 0.2, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + (24 - 27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*j - 18. Let o = 1 + j. Sort -5, 0, o in ascending order.\nAnswer: -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, -3, 1, -0.4 in descending order.\nAnswer: 1, -0.4, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(9120\/15)\/(-76)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5204, 10582, 15956, 21326, 26692, 32054, 37412?\n\"Answer: -2*k**2 + 5384*k - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4648?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6290196 - 0.0389751. Let q = j - 1.59. Round q to 6 decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(238)*1)\/sqrt(7))\/(sqrt(160)\/sqrt(5) - (sqrt(32) + -2*sqrt(32))))**2.\nAnswer: 153\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*z**3 + 83*z**3 + 68*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - (-38)\/(-4). Let j = 68 - 68.1. Which is the nearest to -2\/7? (a) t (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/15 + 86*y\/15 - 88\/15.\nAnswer: 2*(y - 1)*(y + 44)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 15 = 5*d, 55*d - 53*d + 10*s = -46 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/434 and -85\/276654.\nAnswer: 8576274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1281 + -1221. What is the smallest common multiple of 40 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16187 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(38)\/sqrt(2) + 2 + 3 + sqrt(19)*1 + (0 + sqrt(19)*-3 + sqrt(19) + 1 + -4)**2.\nAnswer: 14*sqrt(19) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77270118.999906 - 77270198. Let g = -79 - v. Round g to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -15*(-2 + 15\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*f**3 - 2*f**2 + 2*f + 0*f**2 - 1 - 10 + 38*f**3 to k*f + w + i*f**2 + t*f**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4 + 16. Let z be g\/(-9) - 4\/(-6). Suppose 4*s - 2*p = -z*p + 2482, -3*p + 1237 = 2*s. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t + 5*l - 5, 5 = 5*t - l. Which is the closest to t? (a) 1\/3 (b) -5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385653233?\nAnswer: 7, 73, 754703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*p - 10*p + 16*p - 23*p to v*p + u and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 37*m - 1155. Give k(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170148262*t**3 - 432733*t + 151 wrt t.\nAnswer: 1020889572*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-11)*r*(r**(2\/9)\/r*r)\/r assuming r is positive.\nAnswer: r**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232.2 - 232. What is the nearest to -0.2 in n, 2, 5\/2, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:02 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 556073+-1.274107\nAnswer: 556071.725893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 93. Let n(f) = 23. Let p(h) = 9*n(h) - 2*o(h). Calculate p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g + 1258. What is m(116)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 23*j. Let l(d) be the third derivative of d**4\/24 - 4*d**2. What is o(l(a))?\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*1*-3 + sqrt(209))\/(5*(sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4)))) + -2)**2.\nAnswer: -8*sqrt(19)\/5 + 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/379? (a) -4 (b) -3 (c) -21\/10 (d) 2\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, k: 4, w: 1, m: 1, d: 5}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327858, 655726, 983590, 1311450, 1639306?\n\"Answer: -2*v**2 + 327874*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by (-1029)\/(-105) - 2\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 0 = 44. Is x at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44620 + 4?\nAnswer: 44624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 11*h - 30 = 0. Let s(g) = 13*g**2 + 16*g + 26. List the prime factors of s(h).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11280000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246638490?\nAnswer: 2, 3, 5, 7, 1174469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*m*q**3 + 27*f*m*q - 3*f*q**3 + 5*f - 120*m with respect to q.\nAnswer: 9*f*m*q**2 + 27*f*m - 9*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 28 = 3*c + 31, -102 = 4*c + 5*l for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 1 + 7*y**2 - 5*y**2 + 0 + y**2 + 2*y. What is m(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 37*i**2 - 7*i - 4. Let w(m) = -2*m**3 + 18*m**2 + 3*m + 2. Determine 3*r(n) + 7*w(n).\nAnswer: n**3 + 15*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -205, -14, 177, 368?\n\"Answer: 191*j - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/9625 - -2271506\/28875. Suppose -84*d**4 + 98\/3*d**5 - 40*d + 16\/3 + 22\/3*d**3 + g*d**2 = 0. What is d?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u - 4*b + 92, 11*b = 3*u - 27. Solve 0 = -4*i + u, 41*i - 39*i + 5 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1066 - 709. Let j = -155 + c. Let t = j + -202.99. Round t to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 14. Let u be (-1)\/c + (-456)\/(-30). Let s be ((-4)\/(-20) + 36\/(-20))*-10. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 3*a + 3. Let f be j(3). Let w = 5 + f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*v*y - 101*c*y + 6*c + 316*v - 8*y wrt y.\nAnswer: c*v - 101*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/7 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 1, h: 4, o: 3}. Give prob of sequence oohl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2. Let a(f) = f**2 + 3*f**2 + f**2. What is a(o(y))?\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbhqbhh. What is prob of sequence hqhb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98646727.\nAnswer: 19, 53, 97961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57, -53, -49?\n\"Answer: 4*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n - 3. Let t(i) = 195*i - 39. Determine 27*m(k) - 2*t(k).\nAnswer: 15*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 164. Suppose b = 2*b - g. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2709.\nAnswer: -4\/2709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5\/6 (b) 6\/7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -31. Let i = -22 - t. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 5*q + 0*q - 4*q + q + q + 6*q + 7*q - q + (-3 + 0 + 1)*(q + q - q) - 4*q - 4 + 2 + 3*q.\nAnswer: 9*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 114187691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 4*i - 16, 4*q - i - 4 = 0. Let c(f) = -4*f - 64. Let r be c(-7). Let j be r\/(-8) - 2\/4. Solve 1 = 3*s + 3*l - q, -2*l = -j*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7790238 rounded to one decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a**2 - 1408*a - 133804. Give t(-65).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 2257, 7636, 18121, 35416, 61225, 97252, 145201?\nAnswer: 206776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-1))\/(((-867447)\/4998)\/281))\/(6\/(-14))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -695806 smaller than -695795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.023052 + -0.056948. Let d = -3.98 - -4. Let u = 0.42 - d. Which is the nearest to -0.3? (a) u (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -6*w**5\/5 + 5*w**2\/2 + 1. Find the second derivative of m(g) wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 3*j**2 - 3*j - 1. Let u be f(-1). Let s(m) = -16*m**2 + 0 + 19*m - 24 - 13 + m**u. Does 23 divide s(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47273677531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/130 and 25\/36?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2299) + sqrt(2299) + -4 + sqrt(2299))**2 + -2.\nAnswer: -1584*sqrt(19) + 124240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a**5*y - a**5 + 2*a**4*y - a**2 + 32*a*y wrt a.\nAnswer: 660*a**2*y - 60*a**2 + 48*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419.1 + -503. Let b = 76 + c. Let g = 8 + b. What is the smallest value in g, 2, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(1\/11)*c\/(c*c**(-5)*c)*(c**(-2\/3)\/c)**17*(c*c\/(c*c**(-7))*c**(-5))**(2\/39) assuming c is positive.\nAnswer: c**(-9554\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1. Let c(g) = g**2 + g + 1. Calculate -c(y) - f(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*m + 2*r, 12 = -5*m + 4*r - 3. Suppose 4*g - 10 = 3*g. What is the lowest common multiple of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by -1.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*i + 3, 5*i + 5 = i + 5*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292892 divided by -5?\nAnswer: 1292892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f - 9. Suppose 3*j - b = 2, -3*j - 168*b = -164*b - 37. Calculate y(j).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/15))\/d*((d*d*d\/((d*d\/(d\/(d\/(d**7*d))))\/d)*d)\/d)\/d)**20\/((d**2\/d*d*d)\/d**(-1\/4)*(d**(-2\/7)*d)\/d**(-1)) assuming d is positive.\nAnswer: d**(14927\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -15) + 3 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j**4 + 849*j + 35 - 2*j**3 - 425*j - j**4 - 425*j as p*j**2 + r*j**3 + o + z*j + q*j**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 245?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - j = 16, z + 4*j = 13 - 17. Put -3\/5, 1\/2, z in decreasing order.\nAnswer: 1\/2, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -28. Suppose 0*y + 3 = -m*y. Let l = 216 + -869\/4. Is y > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from eeggwgwwgewwew.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/5)\/(156\/(-30)))\/(2\/4).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71726 equal to 71726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from aayjkajkyypyvkk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m**2 - 2*m + 3. Let n = -1 + 6. What is the tens digit of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 1, -5, 3.\nAnswer: -62, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0*q - 2*q + 4*q) - 3*q + q + q - 6*q + 8 - 8.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 478260 divided by -2\nAnswer: -239130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 + 11*l**4\/12 - 2*l**3\/3 - 4*l**2 + 12*l. Is 23 a factor of c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 3*q**2 + 10. Let u be m(-8). Let r = u + 328. Is r > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(15*14\/(-21)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8953, 13657, 18361, 23065, 27769, 32473?\n\"Answer: 4704*g + 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(2\/73))**(-5)*(p*p**6)\/(p*p\/(p\/p**(-2\/11))*p)*(p*p\/p**4)\/(p\/p**0) assuming p is positive.\nAnswer: p**(1972\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddkkkkkk. Give prob of picking 4 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*b - 119*b - 112*b - 119*b + 70 - 70.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/15 and -103\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1033 by -4213.\nAnswer: -1033\/4213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 10*t - 22*t + 2*t as u + f*t and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266215895 to the nearest integer?\nAnswer: 16316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 15. Let c(u) = -u + 1. Let t be 1 + 1 - 3\/(-1). Let h(r) = t*c(r) - w(r). Is h(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/7 + 267*g\/7 - 956 = 0.\nAnswer: 28, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 172*-0.13\nAnswer: -22.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 63220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1180)\/(-3180) + 7*3\/(-63)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/415 or -0.1?\nAnswer: 1\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/7 + 4315972*y\/7 + 2328451788098\/7 = 0. Calculate y.\nAnswer: -1078993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from gnggggglgxegsggnglx.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-57) - 516\/(-152). Are 5 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377533 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 366c + -b?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4529?\nAnswer: -2\/4529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -334491, 5 in descending order.\nAnswer: 5, 2, -3, -334491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -77, 125\/4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*c + 2*p, 4*c + 24 = -0*p - 4*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 11. Let v(p) = -4*p - 10. Suppose -5*j - 5*c - 12 = -4*j, 3*j - 5*c = 24. Let u(d) = j*a(d) + 2*v(d). Let q be u(-7). Which is smaller: q or 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -504248\nAnswer: -16\/63031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 + 2 - 2 + 2*b**3 as n*b**2 + g*b + r*b**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 2839031?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -34) + 11 - -5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4962868 to the power of 1\/2, to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -10111001110110101100110101?\nAnswer: 10111001110110101100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 34 = 2493*o - 2498*o, 2*o - 22 = -3*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -589686047798924+2\nAnswer: -589686047798922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1114 and -111\/1246.\nAnswer: 694022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 greater than 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 + 13*k**2 - 2*k + 545*k**3 - 547*k**3 - k**4 in the form i*k**4 + h*k**3 + g*k**2 + m*k + d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 3*r)*(-7 + 1 + 7)*(-71 + 47 - 49).\nAnswer: 146*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u = -5*u - 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 68*l**3\/3 - l**2 - l - 7. Let j be r(3). Suppose i = 6*i - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134860332 divided by -134860332\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 15*l**2 + 3*l - 1. Let n(b) = b**3 - b**2 + b - 1. Calculate -n(k) + q(k).\nAnswer: k**3 - 14*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 12. Let k be ((-3)\/((-18)\/w))\/(2\/24). Let j be (-2 - (-58)\/8) + k\/(-32). Let m(a) = -a + 4. Give m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**9\/r)\/r**(-1))\/((r**0\/r)\/r)**(-4\/27))**(2\/35) assuming r is positive.\nAnswer: r**(94\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + a**2 + a + 7. Give j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70794 divided by -23598.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68856651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.71. Let x = q - 0.25. Let w = x + 0.2359. What is w rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -367090\/313803 - -334\/293. Let v = 10\/153 - o. Suppose 0 = -4*l - 4*g, -2*g = 3*l - 0*g - 1. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let n(o) = 64*o. Give d(n(g)).\nAnswer: 8192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1000100?\nAnswer: -1000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -40428?\nAnswer: -40430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26692612034749 from 0.2.\nAnswer: -26692612034748.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -182267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 240 = -3*o. Let x(y) = y + 84 - o + 119 + y**2 + y**3. List the prime factors of x(0).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 10. Let a be h(-12). Let l be (a + 1)\/(-6)*2. Calculate the smallest common multiple of (-3 - 1)*l\/2 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-28))\/(18\/(-288))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 + (3 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-2)\/6)*(-9834)\/(-44). Let s = t - -134. Let f be s\/(-12)*(5 + 13092\/(-2620)). Is f at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 16*h - 136643. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:26 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5873*n**2 - 5884*n**2 + 11767*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1887 and -1877 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134784 and 678834.\nAnswer: 130336128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -62960 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2227 + -2230. Which is the nearest to -6? (a) g (b) 1\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24401 (base 6) in base 16?\nAnswer: -e11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by (-51)\/(-34)*44\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74377458 is divided by 24792478.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzqp when four letters picked without replacement from tpatqtpzzzzzqzzzz.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*a + 25. Suppose -11*u + 5*q = -a*u - 64, -2*q = 2*u - 92. What is the remainder when u is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6524 is divided by 931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -123*j + 552. Let k be f(4). Solve -k = -58*i + 48*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1010110101111?\nAnswer: -1010110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*r - 50*r + 1925*r to z + n*r and give n.\nAnswer: 1996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158998628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13414 and 532?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 + -1507 - (2 - -33)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0619975715 to 4 dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-212)\/53)\/((-14)\/(-2)))\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.2, -252, 2\/9, 0.05 in decreasing order.\nAnswer: 2\/9, 0.2, 0.05, -4\/7, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06359711 + 0.0636. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {t: 2, q: 2, i: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 0. Let g = a + 7. Solve 0 = g*z - 21 + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 233.7298965 to two decimal places.\nAnswer: 233.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630151014 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185\/57 + -30\/19. Which is the smallest value? (a) 5\/4 (b) 0.2 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 + 7*f + 8. Suppose 0*s - 3*x = -3*s - 21, 0 = s + x + 9. Is h(s) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18236940 is divided by 246445?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51845043*d*f*o**3 - 57*d*o**2 - 2*f*o**3 + 6*o**3 + 13579 wrt f?\nAnswer: -51845043*d*o**3 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3489 and 5384?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 4*l**3 - 70*l + 70*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 6 - 14) + -9 + -20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(sqrt(192)*5 + sqrt(30)\/(sqrt(40)\/sqrt(4))) + 0)**2*4 + -1.\nAnswer: 322748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.321 + 1.621. What is the fourth biggest value in k, -8, 2\/19, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z + z**2 + 11 - 59*z + 34*z. Let v be i(5). Which is the biggest value? (a) -1\/3 (b) 2 (c) 1\/11 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588067 and 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 - -3.1. What is the biggest value in 0.7, q, 0.4, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1059033 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 + 33712*n + 913140 = 0.\nAnswer: -27, 8455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13 - -39) + -22 - 14) + -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4796908.005 to the nearest 100.\nAnswer: -4796900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6722 by -3361.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 6. Let s be n(9). Suppose 10 = 3*u - q, -u + 5*u + 5*q + s = 0. Suppose 0 = -v - u, 2*v - 5*v = y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/8 - 5*j**3\/2 - 13*j**2. What is the remainder when 69 is divided by i(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9168.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.653651 minutes to nanoseconds.\nAnswer: 39219060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941531 is divided by 21896.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -70353\nAnswer: 3095532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/42*-12 + (-1)\/((-14)\/(-24))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 579, 685, 801, 933, 1087?\n\"Answer: f**3 - f**2 + 102*f + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*f + 222*f - 27 = -17*x, 2*x - x - 4*f + 46 = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 410\/60 + (-7)\/(42\/(-4)). Find o, given that 3\/4*o**2 + 75\/4 - p*o = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 244311.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 9*r + 6175 = 16*j, 8*r = 4*r. What is the remainder when j is divided by 208?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 1.03746 (c) 3\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5211 - 24047 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.1 (c) -15.8 (d) -11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064410 is divided by 258029.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2852 + 1 + -12*(-11)\/(-44). Suppose -8*u = 2*u - q. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10506*k**2 + 32 + 10502*k**2 - 6 in the form r*k + h + g*k**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 3*h - 26. Calculate n(4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 22. Let t(m) = m**3 + 4*m**2 + 3*m + 3. Give t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**5)\/(i**5*i))**(18\/13) assuming i is positive.\nAnswer: i**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -135, -14 in decreasing order.\nAnswer: 4, -4, -14, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*q - 7*q + 13*q - 1)*(-4*q**2 + 5*q**2 + q**2) as r*q**3 + s*q**2 + l + x*q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9265752574 - 4?\nAnswer: -4.9265752574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-160)\/(-2)*(-4)\/(-10) + 4. Is i >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 7*n**2 - 6*n + 65. Give x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328 and 2021.\nAnswer: 662888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23825 divided by 3686.\nAnswer: -23825\/3686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 4 (c) 1\/158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005154897 rounded to seven decimal places?\nAnswer: 0.0000515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*j + 1989*j - 1607*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - -6 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -55. Suppose o*s = s. Sort 4, 1, s in decreasing order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -58. Suppose 0 = 4*q + q + 40. Let c be ((d\/38)\/(1\/q))\/(-1). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -81*b - 231. Solve 3*u - u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4242206\/1*-2*2\/(-13416). Let t = 15\/1118 + r. Let b = t + -1258. What is the common denominator of b and -71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let r(k) = -7*k**2 - 3*k**2 - 91*k + 91*k. What is r(s(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 - s**4 - 32*s**3 + 136*s**2 - 208*s + 112 = 0. Calculate s.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595906?\nAnswer: 2, 297953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -51+108291\nAnswer: 108240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-7) - 5)\/(-1 + 0). Suppose 2*p = -4*a + 26, 3 = 2*a - a + j*p. Solve -w + a = -4*v + 2*w, -5*w = -v + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 8*j**2 + 4*j + 7. Suppose 5*x - 43 = 4*i, -x - 28 + 25 = 5*i. Let f(w) = 3*w**3 - 25*w**2 + 11*w + 22. Let b(h) = x*t(h) - 2*f(h). Give b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-1 - -6) + -16 - -51.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -48*l. Let p(b) = 41*b. Give f(p(a)).\nAnswer: -1968*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -40*g + 167 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abj when three letters picked without replacement from {b: 6, j: 4, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*l**3*v - 12*l**3 - 10*l*v wrt v.\nAnswer: -6*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*x + x. Let p be 5\/x*(-36)\/10. Suppose 7*k - 81 = 4*k. Calculate the highest common factor of p and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10420 is divided by 577?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.898281 - -9.9. Round r to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 8*s**3.\nAnswer: 2*s**3*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 - 5*x + 3. Let p be k(3). Suppose 10 = -4*d - 2*b - 0, d - 5*b - 14 = 0. Sort d, p, 4.\nAnswer: p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 36. What is w(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1618, 6464, 14540, 25846, 40382, 58148, 79144?\n\"Answer: 1615*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -494686 (base 15) to base 9.\nAnswer: -6536180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*l**2 - 237932984*l - 158621984.\nAnswer: -4*(l + 19827748)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-4) - 4) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (-51 + 27 + 13)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/7))\/u**(2\/3))\/(u*u*(((u*u**(-2))\/u*u)\/u)\/u*u)**(-2\/31) assuming u is positive.\nAnswer: u**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 - 2*d - 130 + 300)*(7*d**3 + 7*d**2 - 7*d**2).\nAnswer: -14*d**4 + 273*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21400 * -0.835.\nAnswer: 17869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -42. Let q = 19 + -24. Which is the nearest to u? (a) q (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81368\/35 + (-56)\/70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 356*l + 82206. Calculate u(-231).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1035, -3, -0.6, -1, -21\/4 in increasing order.\nAnswer: -21\/4, -3, -1, -0.6, -2\/1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14448 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 484 or 472?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - d**2 - 3 - 42*d + 43*d + d**3 to w*d**3 + q + m*d + b*d**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.841 * 4.\nAnswer: 163.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let j(m) = 337*m - 64. Let z(n) = 169*n - 35. Let h(b) = 6*j(b) - 11*z(b). What is h(v(w))?\nAnswer: -326*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643712063?\nAnswer: 3, 7, 617, 126859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6649?\nAnswer: 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3)*((-119735)\/(-1617) - 74)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1d513 (base 14) to base 8\nAnswer: 222515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37483\/8 + 4685. Is w greater than or equal to 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -19*x**4\/12 + x**3\/2 + 2*x**2 + 313*x. Let q(k) = 37*k - 2. What is -3*q(o) - 2*s(o)?\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 4*q - 14 - q**2 + 3*q**2 + 4*q**2 - q**3. Let g be f(10). Solve 3*z = -4*s - 32, 4*z + 0*s + 2*s = -g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 185*v - 1283. Give r(6).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -134025, -0.32, 3?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/21*-99 - (-93)\/651.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 14*c = t - 255, 0 = -3*t - 13*c + 805. Solve 64*h = -t - 197 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 - 2*l + 9. Let d be t(6). Let r be (d\/(-4))\/((-5)\/20). Let u be 10\/6 - 1\/r. Let g(c) = 2*c. Give g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15021343 (base 6) to base 11.\nAnswer: -322886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 1. Let j(m) = 5*m**4 - 2*m**3 - 1. Let t(u) = -j(u) + 2*v(u). Differentiate t(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3978, 3939, 3874, 3771, 3618, 3403, 3114?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 40 + 45*m - 40.\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749715 and 3171?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y\/((y**(-11)*y)\/y))\/(y*y**5*y**(-4)\/y))**39 assuming y is positive.\nAnswer: y**(2847\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose v*m = 1 - 16, -4*m = 5*l. Let h(a) = a**2 - 2*a - 4. List the prime factors of h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/25561 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**4\/(q**(2\/3)*q*q**(-8)) assuming q is positive.\nAnswer: q**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 94.4. Let b = -2.59801 - c. What is b rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 less than -68021?\nAnswer: -68019.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 659814 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:14 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/12)\/(-3))\/(679\/(-388))*3\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 + 11. Let p = s - 1. Let u = -29 + 32. What is the smallest value in p, 0, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5750.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - 7 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, -4, 2\/9, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 50 = 2*t - g, 2*g = t - 31. Suppose 10 = 2*s, 2*s + 17 + t = 5*m. Suppose 0 = -2*d + 6*d - 280. Calculate the highest common divisor of d and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (13 - 24)) + 12 + -9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = -5*i + 182. Calculate the remainder when i is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(5772\/325)\/(-37)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((-1 + sqrt(17))*-5)**2 - 5*sqrt(272) - (5 + sqrt(1377) + 2)**2))*-5.\nAnswer: 980*sqrt(17) + 4905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-1)\/(-1))\/1)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357 is divided by 196.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:30 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 276*q**3 - 1023*q**2 - 2886*q - 1584.\nAnswer: -3*(q - 88)*(q - 6)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -0.2, -1, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1206523\nAnswer: 4\/1206523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s**3 + 88 - 178 + 90.\nAnswer: -34*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -1264\/7, -2\/9?\nAnswer: -1264\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g**2 - 2*g - 2. Let c(t) = 7*t**2 + 2*t + 2. Let f(q) = 2*c(q) + 3*n(q). Let l(r) = -13*r**2 - 7*r - 7. Let k(v) = 7*f(v) - 2*l(v). Give k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 17*g**2 + 13*g + 2. Is a(-16) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6 - 46*m + 2 + 26*m + 24*m - 4*m**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8494.32 millimeters?\nAnswer: 8494320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114706*g**6 + 605*g**2 - 95*g - 1 wrt g.\nAnswer: 13764720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -530745*m + 910. Let g be q(-2). What is g rounded to the nearest ten thousand?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from mvvdlndldnnmvl.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - 20 = -j, 0 = -5*r - 25. Suppose -2*w = 2*l - 32, 2*l - 1 = 4*w - 89. Is 288\/w + 2\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/38)\/(6\/(-8)). Let v = 4 + -3. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.08, 0, -0.06.\nAnswer: -0.06, 0, 1.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(630)*2)\/(sqrt(40)\/sqrt(4)*6) + -3.\nAnswer: -3*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(98)*-3*6*6)**2.\nAnswer: 28576800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41391759?\nAnswer: 3, 13797253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) - sqrt(13))*3 + ((2 + sqrt(117))**2 - sqrt(117)).\nAnswer: 9*sqrt(13) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56422 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -3\/8, -17, 21, 60\/271 in decreasing order.\nAnswer: 21, 60\/271, 0, -0.1, -3\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 465.5961ml?\nAnswer: 0.4655961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmkavwmwvavmwakkmmx. Give prob of picking 2 x and 1 a.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7490 is divided by 581?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5623 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 7*t**3 + 0*t**3 + (6*t**3 + 0*t**3 - 3*t**3)*(5 - 4 - 2))*(-34 + 99 + 485).\nAnswer: 1100*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -96, -0.5, 2\/45?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12*8\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) - sqrt(80)*3)*-3)\/((sqrt(320)\/(sqrt(10)*-2))\/(sqrt(88)\/(-1*sqrt(11)))).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29959 to the nearest 100.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5706969 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 74725.104?\nAnswer: 74725.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -17456?\nAnswer: 17461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78570 and 261900?\nAnswer: 785700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from matafnfaafnmftaaaf?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z + 8. Let j(c) = c + 12. Let k be j(-4). Let w be (-2 + 4 - 0) + k. Is t(w) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36507*u**6*z**2 - 2*u**4*z**3 + 62105*u**2*z**2 - z**3 wrt u?\nAnswer: 4380840*u**3*z**2 - 48*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 - 3 - (-47)\/2. Suppose w = 4*f + 21. Let a be 6\/2 - -9*f\/(-3). Solve a = l - 6 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 19*t - 12. Let u be v(9). Suppose 0 = -17*r + 155 + u. Calculate the highest common factor of 42 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/6 + 16\/24. Let o = v - -15. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c = -49*c - 8058. Let w = 22839\/17 - c. Factor -w - 2\/17*n**2 + 10\/17*n.\nAnswer: -2*(n - 4)*(n - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -4)\/(-6) + (-1 - 7). Let j be ((-7)\/(-3))\/l + 13\/3. Suppose t - 2*x + 96 = j*t, 2*x + 54 = 2*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/3 or -0.2242?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154431, -618051, -1390753, -2472537, -3863403, -5563351?\n\"Answer: -154541*g**2 + 3*g + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 24955*x + 3336699. Give l(-133).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/13)*l**21)**(-2\/7) assuming l is positive.\nAnswer: l**(-552\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*b, 0*b = 4*f + b - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2 = 3*w + 5, -3*w + 4*t + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-616)\/(-1176) + -1)*(0 - 7).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/381 and -95\/61854.\nAnswer: 7855458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k - 3*k + (0 - 1 + 2)*(-k + 0*k + 0*k))*(-5 + 0 + 4)*(2 - 3 + 0).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 718 divided by -4\nAnswer: -359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10*g - 95 = -5*a, g - 95 = -5*a. Suppose 0 = 4*v - 2*v - 5*q + 14, -5*v = q - a. Suppose 69 = d - v*y, -4*d + 61 = -3*d - y. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 21001001211?\nAnswer: -21001001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -693*b**3 + 3*b**2 + 3*b - 274. Let g(z) = 1390*z**3 - 6*z**2 - 5*z + 547. Let a(r) = 3*g(r) + 5*p(r). What is the third derivative of a(y) wrt y?\nAnswer: 4230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-4)*88\/(-20) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708.7983ns in hours?\nAnswer: 0.00000000103022175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 14. Let g be f(4). Suppose 5*z - 207 = g*z. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)*((-9)\/18)\/((-6)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*s + 40, 2*s + 10 = -352*k + 354*k. Solve -5 = k*q + 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -33.7\nAnswer: -47.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + sqrt(68) + 4 + 0 + (sqrt(17) - ((sqrt(170)*-1)\/sqrt(10) - sqrt(17))))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 3 + 9 - 1)*(-3 - 1 + 534*m**2 - 522*m**2).\nAnswer: 516*m**2 - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 219437, 439193, 658949, 878705?\n\"Answer: 219756*p - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = -2*b, -5*q = b - 0*b + 48. Let v be 5\/q - (-65646)\/4. Suppose v - 1423 = 12*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -132?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25424.75 litres?\nAnswer: 25424750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35932822?\nAnswer: 2, 17966411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 21.03. Let x = w - 17. Let a = -3.5 + x. What is the closest to -2 in a, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6892105?\nAnswer: 5, 11, 125311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/11 + 19\/22. Suppose l - 5*l = 0. Suppose 3*q + 2*q + 5*z = -10, l = 5*q - 5*z - 30. What is the nearest to -2\/3 in -6, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k = 2. Let j(a) = 4*a - 2*a**k + 0*a**2 - 4*a. Let g(n) = -3*n + 3. Let d(i) = i**2 + 7*i - 7. Let l(f) = 3*d(f) + 7*g(f). Calculate l(j(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -3*w, 0*v - 2*v + 3*w + 18 = 0. Suppose 0*y + 12 = -x + 4*y, -3*x - v*y + 24 = 0. Let k = 0.86 + 0.14. Is k less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 21. Let h = s - -71. Suppose -4*a + 172 - h = 0. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16019 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9908 + -9904. Solve 7 = d + 3*c + 3, g*c = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/4*41754\/1095. Let q = -12\/73 - l. Find the common denominator of (-1034)\/(-468) - (-7 + 1023\/143) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 + 3*y - 2*y**3 + 1971 - 1970 - 2*y**2 - y**4 to l*y**3 + k + x*y**2 + o*y**4 + g*y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 10890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed7c (base 16) in base 7?\nAnswer: -342151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*j + j + 62, 3*r = 5*j - 58. Suppose -6*y - 3*b + j = -y, -2*y - 2 = 5*b. Solve y*u - 12 + 0 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311 + -5911\/19. Let x = -51 - -50.8. What is the closest to x in j, 4, 22?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12464*r - 20506*r - 10717*r + 9263*r in the form t + o*r and give o.\nAnswer: -34424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/4)*j**3)\/(j**(-1))**(-1\/4) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 56 = 3*w. Suppose -w*f = -18*f + 16. Put f, -1, 6 in descending order.\nAnswer: 6, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196112177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a - 6*a - 10*a**5 - 5*a - a**5 wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 4*b**2 + 2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 278*i + 2499. Determine d(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13\/(q\/(q*(q*q**(5\/9))\/q)*q*q) assuming q is positive.\nAnswer: q**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511 + -503. Sort 3, -0.4, 1\/4, f in decreasing order.\nAnswer: f, 3, 1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 96*z**2 + 3 + 95*z**2 in the form a*z + i + g*z**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3.7. Let v = 2.08 + -2. Let x = v + -0.18. Which is the nearest to x? (a) j (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 2*t = 4, -5*z = -3*t - 27. Suppose z*r + 0 = 6. List the prime factors of 0 - r - (-9 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*m - 1498 - 14553 = 2887 + 3049 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 2551*l. Let m(a) = -35*a. Calculate m(c(q)).\nAnswer: 70*q**2 + 89285*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9598532 micrograms in tonnes?\nAnswer: 0.0000000000009598532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s\/(s\/(s\/(s*(((s*s*s\/(s*(s\/(s**(-3\/10)*s))\/s)*s)\/s)\/s)\/s))))\/s)\/s)**22\/(s**(-21)*s**(7\/2)) assuming s is positive.\nAnswer: s**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82226536 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259871.\nAnswer: 151, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52275 - -84206. What is h rounded to the nearest one hundred?\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 1 + (-4 - -6). Let y be (3\/(-5))\/(a\/10). Suppose -80 = -y*k - k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/12 - 7*a**3\/6 - 10*a**2 + 22*a + 2. Give t(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/13 + 1386*u**2\/13 - 498512*u\/13 - 499896\/13 = 0 for u.\nAnswer: -954, -1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2167*m - 4327*m - 12770*m**2 + 2160*m as n*m**2 + h*m + k and give n.\nAnswer: -12770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 9*v + 22. Let p(z) be the first derivative of -1\/3*z**3 + 5\/2*z**2 - v + 0*z. Find the second derivative of p(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237727?\nAnswer: 7, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.04501 months in millennia?\nAnswer: 0.0224204175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + j + 1358, -5*j - 828 = -d + 4*d. Let u = d - -274. Solve -u = 2*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3866*p**2 + 2*p - 12167?\nAnswer: 7732*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -741*z. Let o(d) = -8*d. What is o(u(k))?\nAnswer: 5928*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32610425.\nAnswer: 5, 127, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -24621 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 5*t**3\/3 - 11*t**2\/2 - 21*t + 39. Is n(-7) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20311538*m**5 + 224039*m + 7?\nAnswer: -406230760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -64. Let j = 35 + m. Let f = 15.6 - j. Which is the closest to 0.2? (a) f (b) -4\/5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n**3 - 7*n**2 - 7*n - 7. Let i(g) be the second derivative of 0 - 5\/2*g**2 - 19*g - 5\/6*g**3 - 7\/20*g**5 - 5\/12*g**4. What is -7*i(k) + 5*s(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**4 + 4*v**2. Let g(a) = 14*a**4 - 5*a**2 + 1. Let u(m) = -4*g(m) - 5*z(m). Find the first derivative of u(i) wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-45))\/(-1))\/(60\/50).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (9 - 26) - 1\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 - 40*r - 6. Let c(n) = 8*n**2 - 40*n - 5. Determine 6*c(t) - 5*d(t).\nAnswer: 3*t**2 - 40*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 2\/71 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 436.5 (b) -3 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101 and 0.46986.\nAnswer: 47.45586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -71. Suppose 6*w = 5*w + 4. Suppose -11 = -l - 2*n - 0, 0 = l + w*n - 5. What is the remainder when j is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/(s\/(s\/(s**(-6\/7)\/s*s))))\/(s**(-2\/7)\/s)**(-9\/10)*s**(-2\/7)\/s**(-3)*(s**(1\/2))**3 assuming s is positive.\nAnswer: s**(127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2704.5 + 263.2\nAnswer: -2441.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etiix. Give prob of picking 1 t and 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 180 = 3*h. Let b(s) be the second derivative of 0 - 7\/12*s**4 + 0*s**2 - 9\/20*s**5 + h*s + 0*s**3. Find the third derivative of b(o) wrt o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32536 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -4 (c) 3 (d) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2368 = -5*m + 2353 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 72*z**2 - z - 44. What is d(24)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = -138. Let l = p + -82. Let i be 6\/(-16) - (-21)\/l. Solve i = 6*g - g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13630 and 3157930?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 10:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/11)\/y**(-1\/5)*y\/(y*y\/(y*y**(-3)*y))*y*y\/(y\/(y*y\/y**(-2\/23)*y)*y*y) assuming y is positive.\nAnswer: y**(133\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d - 4*d**4 - 2 - 12*d + 0 + 2*d**3 + 3 as b*d**4 + g + t*d + k*d**3 + h*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -14*c**4\/13 - 24*c**3\/13 - 6*c**2\/13 + 4*c\/13 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*q**3 + 894*h**3*q**2 - 3595*h**3*q + 2*h**2 + 4764*h*q - 64*q**3 wrt h.\nAnswer: -12*q**3 + 5364*q**2 - 21570*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/30 + k**5\/15 + k**4\/6 - 2*k**3\/3 + 10*k**2. Factor w(d).\nAnswer: -4*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -50.1. Let h = -262\/561 - 4\/51. Put h, l, 0.5 in decreasing order.\nAnswer: 0.5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 19133?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqo when three letters picked without replacement from {r: 2, o: 1, g: 1, y: 3, q: 1, i: 5}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -24*w + 16. Let l be j(-16). Suppose -12*m = -7*m - l. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*f**3 + 369*f**3 - 328*f**3 + 7*f**2 in the form z*f**2 + d*f**3 + g*f + o and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 68*z**4 + 578*z**3 = 0 for z.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -19\/8 and -0.59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/(8\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 106. Is -72 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281532 (base 10) to base 16\nAnswer: 44bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44997.78kg in micrograms?\nAnswer: 44997780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7718.\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -255, -238, -183, -72, 113, 390?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9373630.\nAnswer: 2, 5, 7, 17, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*z**2 + z + 40 wrt z?\nAnswer: 6*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 694040160 divided by 30\nAnswer: 23134672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2 = g, -5*c + 2*g = g + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 184429971 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9131 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8995 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*d**2 + 3*d**3 - d**3 + 4*d**3 + 3*d**3 wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21740941?\nAnswer: 37, 137, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.1, 1 in ascending order.\nAnswer: -0.1, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 157.\nAnswer: 5\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 22. Let h(m) = 2*m + 2. Let u be h(9). Suppose -2*k = -u - 8. What is the remainder when y is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3)\/b*b)**(-7)*((b\/(b**(4\/11)*b))\/b)\/b*b\/b**(2\/5) assuming b is positive.\nAnswer: b**(673\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285 - -454. Suppose -w = 4*j + n - 436, 2 = j. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 116*f - 29448 - 29443 + 58891 - 116*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 2. Let c be (-53)\/11 + 6\/(-33). What is the remainder when d(c) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2. Let x(z) = -89*z**3 - 2*z**2. Determine 6*d(t) + 3*x(t).\nAnswer: -273*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012010 + -11?\nAnswer: 100011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i. Let m(u) = -11*u - 1. Calculate -7*k(n) - 3*m(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 59 + 3625. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 184*h**2 - 3*h + 2. Suppose -6*d - 15 = -11*d. Suppose p = 5, -p + 12 = -d*k + 2*p. Calculate the remainder when j(k) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 + 3963\/27)\/30 + -5 and 10\/9?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 = -4*l, -2*l + s - 21 = 2*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let z be (-1 - -6)*(5 - (-253)\/(-55)). Let i(w) = -9*w**2 + 3*w**z + 0*w**2 - 2 + 5*w**2 + 6*w. Determine -i(y) + 3*k(y).\nAnswer: y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.8 + 14. Let v = -2.8 - y. Which is the closest to 1\/3? (a) 0.2 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 18. Let x = d - 27. Solve -6*u - 20 = -u - x*y, -2*u - 14 = -4*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314559918 minus -68282?\nAnswer: 6314628200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148298298 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**4 + 16*u**3 + 36*u**2. Let p(r) = -r**4 + r**3. Let w(q) = 4*p(q) - y(q). Find i such that w(i) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/12 + 5\/(-15). What is the third smallest value in 1\/6, g, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*b**4*s**2 + b**4 - 2*b**2 + 4*b*s**2 + 257*b*s - 2*b wrt b?\nAnswer: 3180*b**2*s**2 + 12*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8524137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-6)*81\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -140. Let a = g - -108. Solve 3*l + t = -l - 17, -l - a = t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6*c + 80. What is the highest common factor of c and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k + 17 + 50*k**2 - 77 - 12 wrt k.\nAnswer: 100*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -2\/3 (c) -2\/7 (d) -0.2203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 19*a + 13*a + 11*a - 12. Let m(i) = 15*i - 25. Calculate -6*m(n) + 13*v(n).\nAnswer: n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**2 + 495078610*d + 330052400.\nAnswer: 5*(d + 33005240)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2420304 (base 5) to base 12\nAnswer: 22107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2371.6 + 21586604184.\nAnswer: 21586601812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-112*n**4 + 2*n**2 + 4944*n - 4944*n) as a*n**2 + v*n**3 + i*n + x + r*n**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Suppose -3*m + 7 = 1. Let o(y) = -14439*y + 1 + 7226*y + 7219*y. What is m*o(b) + 2*n(b)?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 70282 - 70280 + 140562.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, -0.31, -5?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y*y*y\/(y**(-15)\/y*y)*y)\/((y*y**0)\/(y*y**(4\/5))) assuming y is positive.\nAnswer: y**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2 + 4 - 4)*(-171*j - 131*j - 147*j).\nAnswer: 898*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19.2, 486\/7, -0.2?\nAnswer: 486\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - -67. Which is the third biggest value? (a) 1 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 73*n - 993. Give i(17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a6874 + -3?\nAnswer: 7a6871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -409ab (base 15) in base 5?\nAnswer: -23022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-168)\/(-32) + 15\/(-60). Solve -4*j - 1 = -i*d, -3*d + 2 = -2*j + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/5710?\nAnswer: -1\/5710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/40 + 9*j**3\/2 - 4*j**2 - 5. Let f(x) be the first derivative of b(x). Let o(d) = 2*d. What is f(o(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*(-12)\/10. What is the second derivative of -2*f**3 + 2*f - f + 0*f**o + 0*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrlrmil. What is prob of picking 1 r, 1 l, and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235714 != 235716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/2 (b) -1280 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/360 - h**5\/60 - h**4\/6 - h**3\/6 - 2*h. Let z(f) be the second derivative of c(f). List the prime factors of z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*n + 60*n - 33*n + 25)*(2*n + n - 4*n)*(-2*n - 2*n + 3*n).\nAnswer: -5*n**3 + 25*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -5. Calculate the common denominator of -61\/5 and ((-1)\/2)\/((-1)\/s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4 + 4. Let v(g) = -3*g + 2. Let t(p) = -p**2 - 5*p + 4. Let z(x) = 4*t(x) - 7*v(x). Calculate z(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -3\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c = -19*c - 200. Solve 0 + 3 = v, 2*s - c = -4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848420 divided by -10?\nAnswer: -384842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h - 3*h**2 + 6 - 2\/3*h**3. Factor j(z).\nAnswer: -2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.43 + -44.57. Let s = -1100.6 - -1147.37. Let j = s + a. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8558, 8426, 8304, 8198, 8114?\n\"Answer: a**3 - a**2 - 136*a + 8694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 545 by 5.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -24. Suppose 4*h - f = -2*f + 4, -5*f = 2*h - 20. Is h smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 2100331?\nAnswer: -2101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -566*w**4 - 1386*w + 1383. Differentiate d(t) wrt t.\nAnswer: -6792*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {z: 1, p: 2, j: 3, h: 1, x: 4, r: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 480772 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6617 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*a**2 - 1150*a.\nAnswer: 2*a*(32*a - 575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.02348 + 89668763?\nAnswer: 89668765.02348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14872.4654 - 0.646.\nAnswer: 14871.8194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82.832 less than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*n + 48, 5*r + 2 = 4*n - 39. Is (21\/r)\/(2\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w. Let j be -11 - (-10 + 7) - -11. Let x(y) be the third derivative of 5\/24*y**4 - 13*y**2 + 0*y**j + 0 + 0*y. Calculate b(x(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6812*c**2*s**2 + 5*c**2 + 1691*c*s**2 - 1956011*c wrt s?\nAnswer: 13624*c**2*s + 3382*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2\/5 - 32*q\/5 + 84 = 0?\nAnswer: -15, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 4*d - 36. Suppose 13*v = 4*v + 36. Suppose 0 = g + 2*o + 2*o - d, 560 = v*g + 4*o. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 + 20*n**2 + 43*n + 5. Let m be d(-2). What is the second smallest value in m, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183291 divided by 38.\nAnswer: -183291\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-29)*f*f)\/f)\/f)**32\/(((f**46\/f)\/f)\/(f*f\/f**(5\/7))) assuming f is positive.\nAnswer: f**(-6795\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 4*u - 22*u + 840 + 14*u + u + 4*u.\nAnswer: -2*u + 840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8882 + 8883. Suppose -s + u = -45 - 10, 2*s - 96 = -5*u. Do v and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/392 + (-15)\/72\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9958*a*j**2*v - 48*a*j**2 - 21*j**2 - 66875*v wrt a?\nAnswer: 9958*j**2*v - 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from ppppppooop?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)\/sqrt(11))**2 + 1*(sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3).\nAnswer: sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -195806, -193332, -190858, -188384, -185910?\n\"Answer: 2474*a - 198280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000289775 rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-139)\/(-3) + (-2)\/(-3). Suppose j = x - 38. Let y = x - 52. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -62 - (59 + -108 + 42) - -16\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638*d - 13*d**2 - d**2 + 12 + 10*d**2 + 6*d**2.\nAnswer: 2*d**2 + 638*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**2\/2 + 6*x + 14. Calculate j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 4*h + 4*h + (3*h**2 + 0*h**2 - h**2)*(-5 + 4 + 0) + (0*h**2 - h**2 + 2*h**2)*(4 + 0 - 2).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 428?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*h - 8856 - 59*h + 8814 to the form z + b*h and give b.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 2*s + 2. Let l be (-9)\/(-6)*(-60)\/(-18). Suppose -14 = -l*o + 26. Calculate the smallest common multiple of b(-2) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 + 2 - (-1260 + 1209)) + -136\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5253, 5234, 5189, 5106, 4973, 4778?\n\"Answer: -2*m**3 - m**2 - 2*m + 5258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2. Let l(f) = -3*f + f + 89 - 89. Calculate l(o(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(396) - (0 + sqrt(396))*5))**2 + ((-1*sqrt(77)*1 + sqrt(77))\/(sqrt(112)*2))**2)*4.\nAnswer: -960*sqrt(11) + 25444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -18 - (-4 - -10 - 10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 - 6 = 0. Let s be (-72)\/p*10\/(-15). Suppose s*k = 23*k. Solve k = -n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = m - 15, -2*m = -0*m - 6. Suppose o + 3*o + 4*x = 0, 5*o + l*x = 5. Let a(g) = 3*g - 6. List the prime factors of a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + 2*s - 2, 3*s - 4 = 2*a. Which is smaller: a or 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcydcdyycnc. Give prob of picking 1 y and 2 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 6*p + 4*x = p - 5, 5*x + 25 = 0. Factor 0*r**3 + r**p + 0*r**s - r**2.\nAnswer: r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58759, 58744, 58731, 58714, 58687, 58644, 58579, 58486?\nAnswer: 58359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5962 and 86998588?\nAnswer: 956984468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/(-10) - (-399)\/7. Let c = -33 + g. Calculate the least common multiple of c and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3292 and 29537470?\nAnswer: 59074940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304916.1000008 - 304916. Let w = g + -0.1. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 36*x**3 - 2*x**2 - 2*x - 1. Give a(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) 13 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 268 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**3 - 2*v**2 + 2*v + 2. Suppose -43 = -4*o + 1. Let c = 1 + o. Calculate the remainder when q(-2) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.2? (a) 3 (b) -0.4 (c) -5\/139 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 7. Let n be y(-5). Let w be (-6)\/28 - n\/(-6). What is the closest to 2\/7 in -1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 35\/(-10)) + (-3)\/(-2). Let l = w - 1. Solve l*i - 1 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 3, s: 1, l: 1, t: 1}. What is prob of sequence tsl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*20\/50 - (14 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1896.442 millilitres to litres.\nAnswer: 1.896442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/13 + -16\/39. What is the third biggest value in b, 0.5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Suppose -5*k - 14*k = 57. Let p be 135\/(-444) + k\/(-12). Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 992 and 4526?\nAnswer: 72416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = 9. Factor -12*h - 10*h - 55*h**o + 15*h**3 - 4*h + 6*h.\nAnswer: 5*h*(h - 4)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 5*g**2 + 4*g**2 + (2*g - 7*g**2 + 0*g + 10*g**2)*(1 - 2 - 3).\nAnswer: -13*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07889 rounded to 3 decimal places?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:59 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50509*c**3 + 19 - 15*c - 20 + 33*c + 4*c**2 - 18*c.\nAnswer: 50509*c**3 + 4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 1, m: 6, u: 1}. Give prob of picking 1 j, 1 m, and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -432?\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 475561 - 475557 + 951124.\nAnswer: 8*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1050, -1 in increasing order.\nAnswer: -1050, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*g = 24, 4*k + 151*g + 34 = 153*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1000?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37034 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -21?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 1. Let i(n) = -n**2 + n - 1. Let v(p) = -6*i(p) - 5*w(p). Let z be v(6). Does -1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 614, 498, 294, 2, -378, -846, -1402?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5306 and -11956.\nAnswer: -17262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from zqqhzzhqsqzzhqqq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24131431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -779640.1604 and -183.372?\nAnswer: 779456.7884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 - 3*u**2 + 2*u - 2. Let o = 35 + -33. Is z(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1805f6 + 2?\nAnswer: -1805f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 17*r - 6. Let g be z(8). Suppose -g*o = -19 - 19. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2334453t?\nAnswer: 233.4453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2}. What is prob of picking 1 c and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 8*l - 3 - l + 7 - 921*l**2 + 923*l**2.\nAnswer: -(l - 4)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-3)\/24*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*u - 60 = -4*u, -20 = -m + 4*u. Let n = -22 - -12. Let w be (-4)\/m - 42\/n. Put w, -2, -4 in increasing order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16887 or 16886?\nAnswer: 16887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18305, 18343, 18417, 18539, 18721?\nAnswer: 18975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 at least as big as 337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from mguugugggugggmmuu?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -423980, 4.\nAnswer: -423980, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ccccccccctccccccctcc?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -5.05. Which is the third biggest value? (a) h (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**3 - 24*b**3 + b**3 + 15*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33687036 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by -157.\nAnswer: -392\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/21 and 195\/189 - 4\/(-14)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88626, -354371, -797246, -1417245, -2214362, -3188591, -4339926?\nAnswer: -5668361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, -90, 2, -1.\nAnswer: -90, -1, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + t - 2*s = 5*t + 2, 3*s - 9*s + s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 32 + 12 = -4*j, 5*b - 36 = -4*j. Let d = 7 - 3. Let y(s) = 26598*s - 53196. Let f be y(2). Solve 5*h + 5*m + 10 = 0, d*h = -f*m + b*m + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453121146 a multiple of 2601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157704294?\nAnswer: 2, 3, 11, 19, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(896) - (-5*(sqrt(168)\/sqrt(3) + sqrt(56)) - sqrt(56)))\/(sqrt(96)\/(sqrt(72)\/sqrt(6))*3).\nAnswer: 35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 5022 = -27*y. Suppose -8*x + y = -6. List the prime factors of x.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4778 and 21338?\nAnswer: 50976482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 359311012 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*x**2 - 188*x**2 - x - 2 - 27*x**2 in the form y + b*x + h*x**2 and give h.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.23. Let f = u - 0.14. Let b = 0.09000089 - f. Round b to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxxzwxwcxccwvzwwwzz. Give prob of picking 3 x and 1 v.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -15*a**4 + 68*a**3\/3 + a + 157. Find the second derivative of r(i) wrt i.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6417)\/45 - 3)*-5. Let c = k + -10918\/15. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2956982 or 2956959?\nAnswer: 2956982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 660 + -656. Let j(z) = z**2 - 5*z + 9. What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:05 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 - (-12 - 1)) + -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221418*g**2*w**3*y + g**2*w - 3*g**2*y - 7*g*y - 3*w**3*y - 5864*y wrt w.\nAnswer: 1328508*g**2*w*y - 18*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 2 - 29656*x + 59222*x + 2 - 29566*x.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -1\/6, -1, 0.126?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -c + 8, 0 = c + 2*z - 0*z + 4. Suppose c = -4*f - 3*h + 66, 0*h = -4*f - 4*h + 64. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2281.89 + 2282.019037. Let t = 34.871131 + s. Let i = -35 + t. Round i to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*r + 12, 4 - 9 = -5*r. List the prime factors of 0 - (1 + f + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28a2578 (base 12) in base 3?\nAnswer: 120101021222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h - 1. Calculate the remainder when w(-5) is divided by (-1 - -38) + 330\/(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 * 63470.\nAnswer: -2284.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * 0.101422.\nAnswer: 0.01622752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 7. Let u(t) = -2*t + 15. Let c(m) = -9*h(m) + 4*u(m). Let i be c(8). Solve 0 = -3*y + n + 7 + i, -y + 2*n + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 3888 = 7*y. Calculate the remainder when y is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3910 * 16734.\nAnswer: 65429940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 114 = -20*z. Let i = z - 35. Let x(d) = 270371*d**3 - 3*d**2 + 4*d - 2. Let l be x(i). What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m**3 - 81*m**2 - 16*m - 25. Calculate f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 742\/103, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 4, u: 4, y: 3}. What is prob of picking 1 u and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*z - z = 20, -3*z = 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2)\/(-4)*8. Suppose 0 = -q*w - 1 + 9, 2*w = c - 2. Suppose -r - 11 + 2 = -3*v, 2*v + 4*r = -8. What is the greatest common divisor of v and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o)**(1\/16)\/(o**(-2\/29)\/o**(1\/9)) assuming o is positive.\nAnswer: o**(1159\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2816 - 2806. Which is the nearest to o? (a) -26 (b) -0.3 (c) 0 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose 2*i - 5*t + 16 = p, -8*i + 3*i + 2*t - 19 = 0. Is i < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqsd when four letters picked without replacement from dasqn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 0*x**4 + 2*x**4 + 2*x**4 - 2*x**2 + 2*x**2 + (2*x**3 + 2*x - 2*x)*(0*x - 2*x + 0*x))*((-25 + 4 + 0)*(-1 - 3 + 2) + (0 + 4 - 3)*(1 + 0 - 2)).\nAnswer: -123*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-3))\/k))\/k**(-1\/25) assuming k is positive.\nAnswer: k**(-49\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26721*d**2 + 34038*d?\nAnswer: -53442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (2*sqrt(75) + sqrt(75) + sqrt(75) + 3)*6 + -3 + 1)**2*-3.\nAnswer: -130683 - 13680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -88, -159, -254, -379, -540?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**1*r)*r)**21)**(-33) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oeooooooooeoo?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 70. Suppose c*a - 567 = 401. Suppose -4*q - q = f - a, 0 = 3*q - 15. Calculate the highest common factor of f and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46935 is divided by 1684.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34670 = n + b - 34664, -3*n + 2*b - 13 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**3 + 5*u**3 - 3 + 4*u**3 - 30*u**3 - 17*u + 8*u**3 in the form x*u**2 + k*u + l + s*u**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011911 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.121 - 2.021. Let r = 0.2 + -0.4. Sort 0, r, 2\/11, b in ascending order.\nAnswer: r, 0, b, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (2 - 11)*-232*18\/(-5328).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675 = -432*d + 3660 - 26609 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 83, 73, 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 35. Let t be 4 + (-4)\/(-5 - j) - 9. What is the closest to 4 in t, -0.36, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.022, -0.069, -4?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1770 + 5?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 237, 349, 461, 573?\n\"Answer: 112*l + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 335*o**3\/3 - 3*o**2\/2 + o - 339. Find the second derivative of n(u) wrt u.\nAnswer: 670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54607219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 4*c**5 - 706*c + 5*c**4 + 706*c + 5*c**5 - 4*c**5 + c**5 + (-1 + 1 + 2*c**3)*(c - c + 2*c**2) + 502*c**3 - 502*c**3 + 19*c**5.\nAnswer: 29*c**5 + 5*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*j**4 - 988*j**2 - 5*j*s**2 - 2*j + 252584*s**2 + 2*s wrt j.\nAnswer: 108*j**3 - 1976*j - 5*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-14)\/(-63) - ((-33250)\/45)\/14 and 6?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*f**4 + 160954*f**3 - 1420107*f**2 + 1024886*f + 234256 = 0. Calculate f.\nAnswer: -14641, -2\/11, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 595415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(612) - (sqrt(612) + 0)) - (-1*sqrt(2057) + 2)**2.\nAnswer: -2061 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 + 6*j + 5. Suppose 492 = 5*s - 3*f, 8*s = 7*s - 2*f + 88. Let q be 8\/s + (-71)\/(-12). Calculate l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/499590 and 2\/172935.\nAnswer: 4496310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*h + 342*h = -160*h - 31500 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596560 and 1720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7696 is divided by 951?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -x + 6*x. Suppose -x*z + 5*d = -10, -5*z - 2*d - 32 = -77. Let r(u) = -u**2 + 10*u - 3. Is r(z) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, -0.2, -0.4, 2.5 in descending order.\nAnswer: 30, 2.5, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2023*r**2 + 197*r + 107. Is g(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -70. Let r be (-1 + -4)\/(-4 + 3). Suppose r*z + 0*z = s. Calculate the greatest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 19*d**3\/3 - 24. Let t(l) = 2*l. What is n(t(m))?\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**8\/120960 - g**7\/5040 - g**5\/5 + 74*g**2 + 2*g. Let x(y) be the third derivative of h(y). Suppose x(p) = 0. What is p?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 = -783*q + 782*q, -3*q = -h - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(36\/93)*1728\/(-648)*6\/(-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d + 6270 = -7*d + 53*d. What is the remainder when 6533 is divided by d?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (112 - 69 + 39)*(n + 2*n - n)*(-n + 2*n - 4*n) in the form x*n**2 + f + h*n and give x.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620229 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 24*v. Let j be (9\/(189\/6))\/((-3)\/(-21)). Let y(t) = -2*t. Let r(k) = j*a(k) + 24*y(k). Let u(o) = -o. Determine r(u(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + -44 + 43 + 7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7a0 (base 16) to base 11\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239460 is divided by 285.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3\/((2\/(-1))\/(190 - 192))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16297329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 85. Calculate the remainder when 31 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -14, -0.1, -20, -0.23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m - 2*m)*(1063*m - 479*m - 334*m + (-4*m + m + 5*m)*(-4 + 1 + 2)) as a + o*m**2 + k*m and give o.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/812?\nAnswer: 1\/812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 + 253099*y**2 + 506201*y + 253101 = 0. Calculate y.\nAnswer: -1, 253101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-11))\/(g*g\/g**(-5)*g)*g\/(g*g**(3\/7))*g**23 assuming g is positive.\nAnswer: g**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -271.55 + 0.55. Let f = 270.89 + l. Let m = 2.2 + -2. Which is the third smallest value? (a) f (b) 1\/2 (c) -2\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 24665595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/6)*h**(-1\/4))**(1\/34) assuming h is positive.\nAnswer: h**(7\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/100)\/(18\/(-5)). Let u(m) be the third derivative of 0*m**4 + 0*m - 1\/9*m**3 + 0 + o*m**5 + m**2. Factor u(l).\nAnswer: 2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/540 + h**5\/54 + 2*h**4\/27 - 4*h**3\/9 + 1608*h**2. Solve q(b) = 0 for b.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - x - 911 = -10*a, 3*x + 731 = 4*a. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -73. Calculate the highest common factor of m and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -6, -21, -44, -75, -114?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 9*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-180)\/(-12)))\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:41 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -2.1. Let k = d + 0.91. Let m = 0.89 - k. What is m rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984989 divided by -1\nAnswer: -984989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Suppose -6*m + v - 81 = -m, -m - 33 = 4*v. Let o(w) = 3*w**2 + 17. Let b(s) = -s**2 - 6. Let i(r) = m*b(r) - 6*o(r). Give z(i(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -55505*d - 277345. Give k(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28348 and 1501?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + 4 + -3. Let c = 34 - 38. Let m = 26 - 41. Put m, k, c in decreasing order.\nAnswer: k, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*a + 162*a + 165 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + o - 5. Is 15 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxq when three letters picked without replacement from ixcqjqcj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110110011010110100 + -100?\nAnswer: 100000110110011010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-40))\/(48\/(-30)). Let y = -149\/32 + d. Find the common denominator of 21\/10 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -404, -406, -408?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 2 - 2*x**2 + 1 to d*x + p + s*x**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 6*h**2 + 8*h - 36. Calculate the remainder when 502 is divided by v(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-16) + (-1)\/(-4). Let h be n - (3 + 1 + -19). Suppose -16*x = -h*x. Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - 5994\/(-12). Suppose -t*b + 497*b + 606 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u - 1. Let w(c) = 4*c + 1. Let x(o) = 5*w(o) + 3*z(o). Let r be -14 + (-3)\/(6 - 3). Calculate the remainder when 32 is divided by x(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let l = 20 + -18. Let y = l - d. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.1. Let z = 77.1 + -77. What is the closest to -0.1 in t, z, -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1146 - -1055. Suppose 297 = -3*d + 3. Let h = r - d. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10854, -21727, -32600?\n\"Answer: -10873*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2 - sqrt(171))*-2 - (4*-1*sqrt(171) + sqrt(171)))\/(sqrt(9) + (sqrt(9) - (sqrt(9) + (sqrt(180)\/sqrt(4) - sqrt(45))\/sqrt(5))) - sqrt(576)).\nAnswer: -9*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 3*p - 11. Let j be b(-3). Solve 3*o + 4*k = 15, o - 2*k - j + 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:28 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - (-2 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqqr when four letters picked without replacement from rrqqpphjjjmp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 24172?\nAnswer: 24173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 50 = 3*i, -c + 6*c = -i + 112. Let r = 16 - 22. Calculate the least common multiple of 4\/(-6) + (-52)\/r and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 14*g**2 + 2\/3*g**3 + 0 - 1\/3*g**5 - 2\/3*g**4. Find p such that m(p) = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**3 - 8*o. Let l(m) = -m**2 + 7*m - 4. Let q be l(6). Suppose -q - 3 = -i. Let n(h) = 7*h**3 + 5*h. Give i*f(r) + 8*n(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + g + 7. Suppose 2*k + 5 = 5*k + 5*f, 0 = -5*f + 5. Determine c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 831 = 833 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -64 (c) 1\/3 (d) -0.01 (e) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3854 - 3.6146. What is the third smallest value in -3, -0.1, -106, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 546?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 38352286\nAnswer: 191761430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939, 941, 945, 951, 959, 969?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2579, -2720, -2861, -3002, -3143?\n\"Answer: -141*n - 2438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 652488211 to the power of 1\/2, to the nearest integer?\nAnswer: 25544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 4*c - 5. Let u be i(-3). Put -5\/2, u, 0.3 in descending order.\nAnswer: u, 0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccfcccpcpcpcccc?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*r + 185 = 0, 0 = -2*n + 23*r + 11376 - 10538 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 - 10. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*h**2 + 6*h**2 - 2*h**2 - 6 as s*h + k*h**2 + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 271, 263, 237, 187, 107?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (30\/24)\/(95\/2584)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000224708265 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 7*o - 1753 - 2927. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -17*z**5\/5 + 8*z**4 + 6*z**2 + 62*z + 353. Find the second derivative of a(c) wrt c.\nAnswer: -204*c**2 + 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -9. Suppose 0 = -t + p - 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*g - 172, -114 = -2*d + 2*g - 5*g. Suppose 2*f = -f - d. Let u be ((-63)\/10)\/(-21)*(-8)\/f. What is the smallest value in u, -1\/3, 20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 25\/2*h**3 - 1\/24*h**4 - h**2 - 23 + 0*h. Let l(t) = -2*t. Determine l(c(q)).\nAnswer: 2*q - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 - 9*c**2\/2 - 4*c. Let d(z) be the first derivative of j(z). Let v(g) = 26*g. Give d(v(n)).\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 168 = -4. Let k = 6 - 1. What is the units digit of 18\/45 + n\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 2879*h**2\/5 - 1925472*h\/5 - 214771968\/5.\nAnswer: -(h - 1488)**2*(h + 97)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96223423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(171)*2)*5)**2 + 2.\nAnswer: 1200*sqrt(19) + 17502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6716137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + 0.02. Suppose 2*o - 2*h = -4, -5*o - 31 = 4*h + 6. Which is the second smallest value? (a) m (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565980.1 rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13493321.24825477 - -788.74539523. Let b = q + -13493839. Let m = -271 + b. What is m rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 1. Let b(x) = 6395*x + 8. Give b(j) - 6*i(j).\nAnswer: 6377*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-804*u - 1359*u - 1 + 2550*u)*(0*u**2 + 2*u**2 - 3*u**2).\nAnswer: -387*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 159813, -11 in increasing order.\nAnswer: -11, 5, 159813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 932 = 4*r + 7*u, -2*u = -r + 238. Suppose 2*p = r - 204. Solve 0*f = -3*f - p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 3\/2558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdkd when four letters picked without replacement from dggggwggddxdkxgk.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0*k)\/k)**32*(k\/k**(1\/8)*k)\/((k\/k**(2\/17))\/k))**(-11) assuming k is positive.\nAnswer: k**(-2981\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(432))*4*-3)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -0.5, -26, 1 in descending order.\nAnswer: 5, 1, 0.2, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-544)\/90 - (-18 - -17)*6?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 151 = 3*v, -277 = 4*d - 0*d - v. Let q(l) = -3684*l**2 - 1178*l - 54. Let w(f) = 335*f**2 + 107*f + 5. Let b(z) = d*w(z) - 6*q(z). Factor b(j).\nAnswer: -4*(13*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 27*w + 9*w + 9*w. Let x(q) = -6*q**2 + q**2 + 0*q**2. What is x(f(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2457681210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*u - 18 = -163*u. Put u, 0.2, 1, -2.2 in descending order.\nAnswer: 1, 0.2, -2.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4 - 4 - 2*j. Let a(k) = 16*k**2 - 2*k**2 - 4*k**2 - 11*k**2. Determine f(a(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 26*b**2 - 26*b - 27. Let f(i) = i**2 - 31*i - 239. Let x be f(38). What is m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let l = -153 - -159. Let a(p) = 2*p. Determine l*o(i) - 5*a(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 13*a - 9. Calculate l(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**5\/10 + 21*b**4\/8 + 29*b**3\/2 + 115*b**2\/4 + 24*b + 5113. Determine h, given that m(h) = 0.\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/17 (b) -2\/26793 (c) -4\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 10 - 2. Calculate the remainder when ((-4)\/f*0)\/1 - -110 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*(-3)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33250c (base 14) to base 16.\nAnswer: -1a7a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(1053)*5 + -1.\nAnswer: -135*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -3*s, -2*s + 3*q = -0*s + 4. Let n(t) = t**2 + t - 3. Let c be n(-3). What is the lowest common multiple of (20\/6)\/(s\/c) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 3*y + 6*y + 3*y + 3*y - 4*y as o + p*y and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -4*p. Let h(a) = 1. Let o(g) = -g + 9. Let s(b) = -2*h(b) + o(b). Let u be s(0). Sort u, 4, p in descending order.\nAnswer: u, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -25 (c) -26089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 749515.3 millennia?\nAnswer: 74951530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14175054 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**6 + 2*a**2 + 3*a**6 - 5*a**6 wrt a.\nAnswer: -1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327369, 654504, 981639?\nAnswer: 1308774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11294907 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26146 is divided by 804?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (614\/1)\/((-6)\/15*-5). Let g = -216 + j. Calculate the remainder when 201 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -1, 1\/5, 22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6842050 is divided by 3421017?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 3*r - 11*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 366884377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogo when three letters picked without replacement from {v: 7, o: 6, g: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*o**5 + o**2*w**2 - 3794*o**2 + 13402*o*w**2 + o*w + 11*w**2 + 3 wrt o.\nAnswer: 1480*o**3 + 2*w**2 - 7588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g - 107. Let j(s) = -10*s + 126. Let o(m) = -3*j(m) - 4*r(m). What is o(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 + 5*f. Let h = 2 + -3. Let q(m) = -79*m**2 - 4*m + 30. Let l(k) = -21*k**2 - k + 8. Let o(v) = 15*l(v) - 4*q(v). Calculate h*z(a) + 5*o(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51831836?\nAnswer: 2, 7, 421, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = -20*k - 344. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0178 and -3.123.\nAnswer: -3.1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 20 - 20. Suppose 1097 - 1177 = -2*o. Calculate the smallest common multiple of j and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26722274 (base 9) to base 8\nAnswer: -62223420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -356.261 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 322963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**18*(l**(1\/4)\/l)**12 assuming l is positive.\nAnswer: l**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {l: 3, y: 4, e: 7}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 9912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(20)\/sqrt(2)*5)\/(sqrt(98)*1).\nAnswer: -4 + 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 3. Let g(j) = 2*j - 4. Let h(o) = -4*g(o) - 3*p(o). Calculate h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*m*w**3 + 112*g*m*w - 6*g*w**4 - 172938*g*w**3 + g*w**2 + 6*g*w - 5*m - 3*w wrt w?\nAnswer: -6*g*m - 144*g*w - 1037628*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(-3)*(-3 + 3). Let b = j + 44. Calculate the remainder when 169 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 131139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095677427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 + 11*n**2 + 17*n - 13. Let v(j) = j**3 + 5*j**2 + j - 1. Let c be v(-5). Let u(z) = -2*z**3 + 5*z**2 + 8*z - 6. Determine c*k(h) + 13*u(h).\nAnswer: -2*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.18 + -85.3. Let g = q - -57.22. Let a = g - 70. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*v**2*y + 27977*h**2*v*y**3 + h**2*y**2 - 1355*h*v**2*y**3 - 6*h*v**2*y**2 - 1038*h - 609 wrt y?\nAnswer: 167862*h**2*v - 8130*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + b**2 - b**2)*(3*b**2 + b**2 - 2*b**2) + 6 - 6 + 2*b**5 + 2*b**5 + 0*b**5 - b**5 + (2*b**2 - 5*b**2 + b**2)*(-1 + 1 - b**3).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/27*(-12)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12\/c)\/(c*c**(26\/5)\/c))**(5\/17) assuming c is positive.\nAnswer: c**(29\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:18 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 4 - 13*z + 2 - 1. Let f be p(-12). Solve 5*m - 6 = k - 4*k, 4*m - 3*k = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022782 and -2429.\nAnswer: 55.337478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -9. Let y(b) = b**3 - 8*b**2 - b + 11. Let p be y(8). Put j, p, -4 in decreasing order.\nAnswer: p, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71406.2 less than -258127?\nAnswer: -329533.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1420*y**2 + 2*y**3 + 714*y**2 - 4*y**3 + 706*y**2 - 3*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282977*p + 6*p**2 - 282977*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3861.5204 rounded to the nearest 10?\nAnswer: -3860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7222 divided by 2.\nAnswer: -3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5142 - -193?\nAnswer: -4e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-20))\/(4\/1*134\/2680)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7 + 7. Calculate the greatest common factor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 22 - 14 - 5*u**2 + 6*u - 9. Let v be d(-4). Let c = v - 90. Round c to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-40)*((-1638)\/(-72) - 19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {o: 1, a: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (1 + sqrt(1053)*-1 + 0)**2.\nAnswer: -18*sqrt(13) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 459815 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -35 (b) 32 (c) 1\/6 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(30\/(-6)))\/((-6)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10965 + -10799. What is the greatest common divisor of c and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-100))\/(12\/5). Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23958 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9806*d - 4*z - 75 = -9809*d, -d = 2*z - 25. Let n = 1205 - 606. What is the remainder when n is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 51*b**3 + 9*b**2 + 11*b + 7. Let l(u) = 26*u**3 + 4*u**2 + 5*u + 3. Let m(z) = 9*l(z) - 4*p(z). Let y be m(1). Suppose -3*w - y = -6*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4)*333\/444 + 9\/(-36)*1\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 26. Suppose -139 = -7*n + 22. Let s be i(n). Sort 5, s, 2 in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -13 (b) -0.04 (c) 0.4 (d) -0.3 (e) -0.111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:49 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 29*l. Let q be j(5). Let o be 2\/(-3) + q\/220. Let k = o + 139\/924. Is k at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-72) - (-2 - 9\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z + 28. Suppose -4*h - z = 76. Let p = -15 - h. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 5, -4 in increasing order.\nAnswer: -98, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 = -5*u, -27 = u - 2*u - 5*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjbjbjbbbbbb. What is prob of sequence jjjj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26748528 divided by 4.\nAnswer: -6687132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 68 - 164 + 78.\nAnswer: 2*q - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/44*2)\/((-405)\/324)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9874295 by -5.\nAnswer: -1974859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6871680 to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from aaeerrrsaaearaejehha?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2224041, -2224032, -2224023, -2224014, -2224005?\n\"Answer: 9*o - 2224050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**4 + o**3 - 5*o**2 + 7*o. Let a(y) = 9*y**4 + y**3 - 3*y**2 + 3*y. Let b be (-1*5)\/(-9 - -10). Let c(m) = b*a(m) + 2*w(m). Factor c(t).\nAnswer: -t*(t + 1)*(3*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 640 + 640 - 3*w + 0*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/5)\/(1\/5). Let w = 11 - b. Suppose w*g - 1 = n + 2, 12 = g + 2*n. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-240)\/(-24))\/(140\/16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or -65?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 273220014 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13)\/(-4) - 3)*5864\/2. Suppose 5*z + 73 = u. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100086 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - 7*q**2 + 2*q**2)*(5*q - 3*q + 0*q).\nAnswer: -10*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.6394 litres to millilitres.\nAnswer: 235639.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(2) + 5*sqrt(36))\/(sqrt(150)\/sqrt(27) + sqrt(50) + (sqrt(200) + -2*sqrt(200) + sqrt(200))\/sqrt(4))*-4.\nAnswer: -51*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987*c - 4262*c + 2271*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 - 3 = 0. Let h(t) = -t**2 + 9*t - 7. Suppose 139 + 11 = 6*u. Calculate the lowest common multiple of u and h(w).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/(156\/(-13)) + (-4)\/2. Let a be (4 + 3 + -5)*12\/c. Suppose 7 = q + 1. Sort a, -2, -4, q in increasing order.\nAnswer: -4, a, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2735.46458 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13829 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 14, 6113 in descending order.\nAnswer: 6113, 82, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12210 divided by 2\nAnswer: -6105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 divided by 4.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*d - 5*g + 8176, d + 3*g = 2728. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - (-3 + -3). Suppose t + 3*f - 58 = f, -f = h. Suppose z + 5*g = 0, -5*z - 8 = -5*g - t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/5)*h))**35\/(h\/(h*h*h**(-1\/14)*h)*h*h*h*h**(-1\/8)) assuming h is positive.\nAnswer: h**(-445\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4635\/721*(-42)\/10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/6)\/((1\/(-42)*-9)\/(-1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.42 + -0.18. Let y = a + 0.665. What is y rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310250255.\nAnswer: 5, 7, 17, 521429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 15*m + 6*m - 8*m in the form g + t*m and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - v = 5, -4*o + 2*v - 12 = 8. Let g = o + 3. Let d(b) = -119*b - 3. Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144168 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuui. Give prob of sequence yi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -23*l**4 + 4*l + 3. Let z(t) = t. Give p(z(m)).\nAnswer: -276*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43011 - -102011. Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189554 is divided by 6287.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d - d**2 + (d - d - d)*(-2 + 2 - 2*d) + 2850 - 2850 + 148*d**2 + 4*d.\nAnswer: 149*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 198720 divided by 8?\nAnswer: 24840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 428.77728*0.2\nAnswer: 85.755456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -1196*n**5\/5 - 24*n**2 - 5*n - 3862. Find the second derivative of i(j) wrt j.\nAnswer: -14352*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1831 and 0.1?\nAnswer: 183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - s + 0*s = 175, 3*d - 285 = -3*s. What is the greatest common divisor of 40 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 96 = -6*q. Let z = q + -31. Let c(a) = a**2 + 4*a - 3. Determine c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 83*n**4\/8 - n**3\/6 - 193*n**2. Let u(t) = t. Calculate u(y(l)).\nAnswer: 249*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2, -4*f = 4*u + u - 33. Let a be (27\/u)\/((-26)\/(-1170)). What is the greatest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + 11?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 219 in 5, 0.4, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -1\/42*t**7 + 0 - 1\/4*t**4 + 0*t**6 + 0*t**3 + 0*t**5 + 0*t**2 + t. What is the third derivative of r(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/2 + 1899*i**3\/2 - 21*i**2\/2 - 13275*i\/2 + 5697 = 0.\nAnswer: -633, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805440.\nAnswer: 2, 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*h - 1971343 + 6438511 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 5*x**2 - 16*x - 27. Calculate j(5).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 6, -36, -116, -246, -438, -704, -1056?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**3 + 4*m**2 + 2*m - 10. Let x be j(2). Let y(r) = -40*r - 3. Let v be y(3). Let a = v - -175. Calculate the greatest common factor of x and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200222112022000 - 12?\nAnswer: 200222112021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.04 + -3. Let x = h + 1.96. Let n = 0.11 + 0.89. Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 6*r + 0 + 1\/3*r**3 + 2*r**2. Determine l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 241. Suppose -t*x = -1176 + 96. Solve x = 4*k + 28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 299 = 47*g + 91 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7157 and 5894?\nAnswer: 100198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42194902*t*u**2 + t*u*v + 2*t*v**3 - 14*u**2*v - 40*u - 23*v**3 + 7*v + 45 wrt t?\nAnswer: -42194902*u**2 + u*v + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 3 + 3)*(0*c**2 - 5*c**2 + 9*c**2) + (2*c**3 + 1 - 1)*(4 - 3 - 2) - 2*c**2 + 2*c**2 - 2*c**3 to f*c**2 + t + r*c**3 + i*c and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n - 84. Let h(b) = -b - 14. Let a(w) = 6*h(w) - k(w). Let o(g) = -8*g + 25. Give o(a(d)).\nAnswer: -8*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(972)*-1 + sqrt(12)) - (-4 + sqrt(27))*-6)**2.\nAnswer: -858*sqrt(3) + 98211\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrs. What is prob of picking 1 s and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558739.4 - -558740. Let m(p) = -p**2 - 5*p + 1. Let z be m(-6). What is the closest to 0.08 in 0.5, z, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532807, 1065614, 1598421, 2131228, 2664035, 3196842?\nAnswer: 3729649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 27*w**2 + 40*w + 808. Let d(a) = -54*a**2 - 83*a - 1622. Let f(z) = -6*d(z) - 13*l(z). What is the first derivative of f(r) wrt r?\nAnswer: -54*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270 (base 9) in base 11?\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at least -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631348.3849 rounded to the nearest 10000?\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118*k**2 - 52*k + 66.\nAnswer: -2*(k + 1)*(59*k - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 871 = 9*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 0.49. Let q = n + 0.11. Which is smaller: 2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(-50)\/(-525)*9\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*104\/(-12). Let j = -11 - n. Which is smaller: 7\/5 or j?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 9*i**2 - 3*i**2 + 6*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10 + 2 + (-7 - (14 + -1909))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1890 by 1890.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 31*x - 29*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 2*a**2 - a + 1. Let s be i(5). Suppose 27*j + 896 - 157 = -935. Let y = j - s. List the prime factors of y.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 4. Let d = -8 - k. Let l = -1 - d. Which is the closest to l? (a) -3 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvsvvs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -31*q - 3. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from derwbeb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*a - 268 - 772 = -1562*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6616988 and 1682?\nAnswer: 6616988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -857\/9. What is the closest to y in -2, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47981, 47984, 47987?\n\"Answer: 3*j + 47978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6389*h**3 + 3*h**2 - 3*h. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-13 + 2 + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -966, -938, -878, -774, -614, -386?\n\"Answer: 2*d**3 + 4*d**2 + 2*d - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 41 - k**3 - 13*k**3 + 10*k**3 to w*k**2 + n*k + a*k**3 + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:44 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 32709 = 3*k - 3*g, -2*g = -4*k + 43612. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 20\/(-15)*(-10 - -7). Suppose 2*d + 1 = 5. Suppose 6*f + 13 = d*g + f, -2*g + 12 = -4*f. Solve -2*v - 12 = -w*s, 0 = v - g*s + 14 - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3745030 is divided by 3745026.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024 a factor of 1978276436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*t**3 - 180*t**2 + 108*t.\nAnswer: 3*t*(5*t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16792292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132841640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 11*r + 41)*(-r + 15 - 15)*(r + 0*r + 0*r - 3*r + 0*r + r + r + 0*r + r + (3 + 2 - 7)*(-3 + 2*r + 3) + 0*r + r + 0*r + 12*r - 13*r - 12*r).\nAnswer: -165*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5816230 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.87 (b) 6 (c) -387 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 58, 26, -40, -152, -322, -562, -884?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38526.\nAnswer: 2, 3, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/10 - 41*s**2 - 2. Let x(b) = -3*b + 5. Let l(r) = -15*r + 24. Let o(n) = 5*l(n) - 24*x(n). Give o(t(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 2. Suppose 0 = -2*f + 518 - 498. Suppose 0*k + 24 = -4*k. Let j = f + k. Determine n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(4\/12). Suppose -4*x - z + 264 = 4*z, -118 = -w*x + z. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 - 346.7. Let w = r + 1.7. Let b = -14.9979 - w. Round b to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2 = -14. Calculate the smallest common multiple of 24 and g\/5 + (-112)\/(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*y + 401, 0 = 7*s + 2*y - 1855 - 841. What is the highest common factor of s and 1351?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let g(w) = 158*w**2. Determine g(j(l)).\nAnswer: 158*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-9)*2\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -382*j - 129*j + 787. Solve 0 = 2*a + 4*o + 10, -3*a + 0*a - 15 = j*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5517 - 5515. Let m = -12 - -6. Let b be (m - -5)\/(l\/(-6)). Solve -u = 2 + b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 288, 581, 878, 1179, 1484, 1793?\n\"Answer: 2*d**2 + 287*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029898719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 - 2849\/21)\/(1\/(-141)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 14 = x, 4*l + 34 = 2*x + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 2) + -4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.096, 0.2, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 2. Let w be o(-2). Suppose -4*b = -x + 17, 163*x = 4*b + 158*x + 5. Sort -20, -4, w, b in increasing order.\nAnswer: -20, b, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-86)\/129)\/(2\/(-1092)). What are the prime factors of 1 + (o - (1 + 5))?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17320115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*x**3 - 26*x**3 - 2*x + 21208*x**2 - 21210*x**2 in the form y*x**3 + n*x**2 + k + h*x and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 - -95. Let m = 41 + f. Let g be (1 + (-2 - -2))*0. Sort -2, g, m in increasing order.\nAnswer: -2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6 = -8*j + 7*j, 0 = 2*y - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0224324103814 and 101.\nAnswer: 100.9775675896186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/24 - z**2\/2 + z. Let r(b) be the first derivative of d(b). Let n(a) = 989131*a - 989131*a - 3*a**2. Determine r(n(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*g + 10*g - 90*g + 118128. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*u - 6. Let g be 84\/15 - 2\/u. Solve -g*t + 20 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(5 - 5 + 2*m) - 4*m + 2*m + m + 43 - 90*m + 41*m + 50*m to the form t + c*m and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 15\/13 (b) -4\/7 (c) -1439.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201.6 + 203.8. Which is the nearest to -0.1? (a) -3 (b) i (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oii when three letters picked without replacement from iiiiioioioii.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2143404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(84\/(-16) + 5). Let n(w) be the first derivative of 0*w - 3 + 4\/3*w**3 + c*w**4 + 0*w**2 - 2*w**5. Let n(h) = 0. What is h?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2700 and 87222.\nAnswer: 39249900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 13*n - 13. Let v be j(11). Let r(d) = 12*d**2 - d. Calculate the remainder when 522\/14 + 10\/v is divided by r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 3*x - 1 - 2*x. Is 7 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**2 - 10*h - 84*h**2 + 14*h - 4*h. Let c(t) = 3*t. Determine c(i(r)).\nAnswer: -270*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svv when three letters picked without replacement from ngggsxvgssgxgv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9438655 + -1343954.\nAnswer: -10782609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000088 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/50)\/(7\/168))\/(14\/5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 2*l - 45 = 8*c, 4*c - 8*l = 68 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.8107l to millilitres.\nAnswer: 405810.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 438*g**2 - 51905*g - 5362. Calculate x(-535).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1053 or 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-7 - -1) + 4. Solve 5*f = -3*a - i, -3*f + 5*a + 1 = -30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vyvvyvvvvvyyvvvvvv.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/i*i*(i*i\/(i\/i**(1\/4)*i)*i*i*i)\/i*i**(-2\/21)*i*i*i\/(i**(-10)\/i) assuming i is positive.\nAnswer: i**(2113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(4\/3) + (-40)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.3708 days?\nAnswer: 104.8992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2985 or 24?\nAnswer: 2985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 41*y**2 - 21*y - 1254. Is 18 a factor of v(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 0)*2)**2 + sqrt(204)\/(-1*sqrt(12))*3.\nAnswer: -3*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 279648*d**4 + 128356 wrt d?\nAnswer: 1118592*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2182443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 - 12 = 0. Suppose 3*v - 4*r = 5, 5*v = 2*r + 8 + 5. Factor -i + 3*k**4 - v*k**2 + 5.\nAnswer: 3*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-240)*(-44)\/286.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 148 = 12. Let x(t) = -3*t**4 + 3*t**3 - 9. Let l(c) = -4*c**3 + 21*c**3 - 47 - 18*c**4 - 6. Let b(w) = j*x(w) + 6*l(w). Differentiate b(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 2*u + 4. Let g(f) be the second derivative of f**4\/2 - 5*f**3\/6 + 9*f**2\/2 + 10*f. Determine 4*g(c) - 9*m(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 2040.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1060 and 1.4.\nAnswer: -1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244235115 (base 6) in base 5?\nAnswer: 2144424132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.5, 1, 3\/31, 53, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 4. Let y be z(5). Suppose -3*u + 4*u = 18. Does 5 divide (-2 - (1 - u))\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 2*k**3\/3 - 8. Let s(o) = -18*o - 13. Let q(v) = 9*v + 6. Let w(a) = 13*q(a) + 6*s(a). Calculate t(w(m)).\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14212 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 1\/60*d**5 + 5\/24*d**4 + 0*d + 11\/3*d**3 + 0 - 29*d**2. What is the remainder when j(-9) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 7*y**2 - 13*y - 2. Let b(a) = a**3 - 7*a**2 - 14*a - 1. Let p(g) = 4*b(g) - 5*u(g). What are the prime factors of p(8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200394829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.223, 5, 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, 54, 908, 2314, 4272, 6782?\nAnswer: 9844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 6 in ascending order.\nAnswer: -7, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/124197 and 4\/57.\nAnswer: 2359743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/47 + -85\/423. Let d(s) = 2*s**2 - 17*s + 32. Let r be d(6). What is the closest to 0.2 in n, r, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 24, 58, 92?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -48. Suppose -3*f = 8*r - l*r - 1011, -f = 5*r - 347. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2938*w**2 + 2920*w**2 - 5814*w**2 - w**3 - 34*w to the form f*w**3 + j*w**2 + b + a*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 79 - 24 - 78 + u**2.\nAnswer: u**2 + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.7. Let v = -0.5 + h. Let f = 1.1 - 1.1. Which is the second biggest value? (a) -2 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*a + 15 = 47, 2*m = a + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/3, 1767 in increasing order.\nAnswer: -5, 4\/3, 1767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2*m**3*q**2 + 2559*j**2*m**3*q - 110*j**2*m*q**3 + j*m**2*q**2 + 2*j*q**3 - 30*m**3*q**3 wrt q?\nAnswer: -660*j**2*m + 12*j - 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3628.843ml?\nAnswer: 3.628843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b088357 + -10?\nAnswer: 1b088347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1229303 times -0.066\nAnswer: -81133.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d + 86*d + 10 = 0. Let n be 603\/469 + 1\/(7\/d). Solve -l + n = 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069316 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 - 22*l - 100. Let t be c(-4). Put 25, t, -3 in descending order.\nAnswer: 25, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cb7b - 5?\nAnswer: 2cb76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 4. Let d be h(-2). Let y = d - -29. What is the highest common factor of y and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*d - 100*d - 156*d + 15*d to o + m*d and give m.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(242)).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3495 - 2*k - 6*k**2 + 3495.\nAnswer: -6*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and -113\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let r(t) = 14*t + 1. Let u(h) = -6*m(h) + r(h). Let o(i) = -i**2 + 2*i**2 - 5*i**2. Determine o(u(g)).\nAnswer: -16*g**2 - 16*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2619 - 119068.\nAnswer: -119067.7381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 + -9 - 11) + -3 + (20 - -18) + -17?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from kkklklllkkllkkkl.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -61, -63, -35, 35?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-70) + -8*57\/(-1680)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5*s**4\/4 - s**3\/6 + 10*s. Determine d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40428 rounded to the nearest one hundred?\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53592.94 nanometers in micrometers?\nAnswer: 53.59294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 1 + 3 - 3*b)*(0*b + 2*b - b - 2*b + b + 3*b + (-7*b - 5*b + 5*b)*(5 - 2 - 2) + b - 2*b + 3*b) to k*b + n + v*b**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-56))\/(-6)*7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3086, 6141, 9140, 12059, 14874, 17561, 20096, 22455?\n\"Answer: -4*y**3 - 4*y**2 + 3095*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:40 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, t: 5}. Give prob of picking 3 e.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -2*(sqrt(432) + sqrt(432) + 0) - (sqrt(432) + 1*sqrt(432) + -4))**2 + -5)*4*4.\nAnswer: -7680*sqrt(3) + 172976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 12*t + 3*i - 30 = 0, -4*t + 4*i = -20. Which is the nearest to -1? (a) -1 (b) -16 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1137377 - -321?\nAnswer: 1137720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140271 is divided by 1133.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -133, -342, -641, -1030, -1509?\n\"Answer: -45*c**2 + 16*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412 - 24300?\nAnswer: -23444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 8, 5, 4, 5, 8, 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16107 is divided by 91?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1617 = -3179*w + 3256*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1275 and 131925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290 + 37. Let d = r + -324. Calculate the greatest common divisor of d and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 38*h**3 - 5*h**2 + 7*h + 6. Let w(t) = -39*t**3 + 4*t**2 - 6*t - 5. Determine -5*a(s) - 6*w(s).\nAnswer: 44*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138925 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.12 + -1.12. Let m = -151 + 103. Let i = m + o. Which is the second smallest value? (a) -1 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*l + 22 - 5*l**4 - 200*l - 16*l**2 - l**3 + 17*l**2 + 100*l to the form q*l**3 + p + n*l + f*l**4 + x*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 4\/31 (c) 7 (d) 1\/6 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.92. Let c = -0.0801 + i. Round c to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5698172 and 5514360.\nAnswer: 170945160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37524.63 millilitres to litres.\nAnswer: 37.52463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-180) - (830\/12)\/(-5). Let t be (18\/15 - 0)*-10. Let z = b + t. Solve 1 = -z*f + 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 42 = -5*p, -c + 50 = 4*c - 5*p. Suppose n + 0*n = c. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 15 = 3*f + 3*k, -3*k = 12. Let a(y) = -3*y**3 - 23*y**2 - 28*y - 8. Let t be a(-8). Let q = t - 281. What is the nearest to -3 in f, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x - 3*x)*(-2*x**2 - 3*x + 3*x) + x**2 - x**2 + x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*r + 6 = 0, 0*b + 6 = 3*b + 3*r. Sort b, 1, -5, -4 in descending order.\nAnswer: b, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eni when three letters picked without replacement from {e: 1, i: 9, x: 2, n: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**2 - 176*m + 1256. Calculate a(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -1205*q**4\/12 - 76*q + 22. Let s(h) = 2*h. Determine k(s(p)).\nAnswer: -4820*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5545 + -5531421?\nAnswer: -5522543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/121 in -0.6, -1, -7, -0.046, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 13. Let z be ((-40)\/(-48))\/((-2)\/(-12)). Suppose 13 + 1 = -2*j + 5*v, 0 = -4*v + 8. Sort j, 1, z, p in descending order.\nAnswer: z, p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + d - 9 = 0, 0 = d - 5*d + 4. Let f = -13964\/1611 - -2\/1611. Let m = f - g. What is the third smallest value in 0.5, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j. Let y(c) = -9*c. Let u be 144\/(2\/14 + 33\/231). Let g be 3\/(-8) + 7\/(u\/387). Calculate g*y(l) + 4*k(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*a + d, 0*d + 2 = 2*a - 2*d. Suppose n - 2*f - 2 = 0, 0 = -4*f - 0*f + 20. Let i = -6 + n. Solve -a = -i*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0117915033776 and -0.309?\nAnswer: 0.3207915033776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -51. Let i be (g\/(-12))\/(2\/108000). What is i rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*g**2 + 34*g**2 + 5*g - 7*g to the form p*g + o + d*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*i**3 + 38*i**3 - 24*i**2 - 100*i - 72 + 17*i**3.\nAnswer: 4*(i - 9)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. What is the second derivative of 5*q - v*q + q - q + q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 294*c**5 - 945*c**4 - 123*c**3 + 963*c**2 - 27*c - 162 = 0. What is c?\nAnswer: -6\/7, -3\/7, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2547261891?\nAnswer: 3, 23, 839, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94, 190, 284, 376, 466?\n\"Answer: -n**2 + 99*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.3. Let v = 100.98 - 101. What is the nearest to p in v, 1, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + (-18)\/(-4). Let v(g) be the second derivative of -g**5\/20 + 5*g**4\/12 + 7*g**3\/6 - 5*g**2\/2 + 2*g. What is v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m = -9. Let z(g) = -g**3 - 2*g - 3. Let a be z(-2). Calculate the highest common factor of a and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmmsrsrrrmr. What is prob of picking 2 m and 1 r?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -88979.3278 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 25. Let n = 24 - 16. Calculate the lowest common multiple of a and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 17 = -5*d, 384*s - 387*s - d + 17 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6986 - -11265. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 22 = 4*p - 5*c, 0 = -5*p + 2*c - 19. Let k be (p\/(-6))\/(-2 + 510\/252). Which is greater: k or 41\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*(t\/(t\/(t\/(t**3*t))))\/t)\/t*t))\/(t*t**5\/t)*((t\/(t*t**(-1\/2)))\/t)\/(t\/((((t\/t**(1\/5))\/t*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2052)*3*1815\/605*162\/(-3)\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.035439495 - -17.964560345. Let j = k - 18. Round j to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b + 2 = -4*m, 2*b - 22 = 4*m. Let d(y) = -2 + 3 + y + 0. Let w be d(m). Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j - 6*l + 50 = 0, 4*j - 36 = -4*l. Let y(t) = -6*t - 18. Let m(h) = -13*h - 36. What is j*m(c) - 9*y(c)?\nAnswer: 2*c + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -15, -21, -19, -3, 33, 95, 189?\n\"Answer: m**3 - 5*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 136 - 46. List the prime factors of 10\/(f\/(-20) - 1\/3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25119, 50366, 75877, 101784, 128219, 155314, 183201, 212012?\n\"Answer: 22*y**3 + 25093*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 8737, 5, -1, 0, -2 in descending order.\nAnswer: 8737, 14, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10*p - 4 + (3 - 3 + p)*(0 + 1 + 0) - 2*p + p - p - p - 2*p + 2*p + 106*p + 2217*p - 69*p as v + t*p and give t.\nAnswer: 2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54646*i - 17 = t - 54647*i, -3*t - 107 = -7*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 2*v - 4*v + v + 22 to u*v + g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162978 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 1\/6*x**7 + 239\/20*x**5 - 34\/15*x**6 + 47*x + 0 - 173\/6*x**4 + 36*x**2 + 22*x**3. Suppose y(w) = 0. Calculate w.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - r**2 - 4*r + 87. Let y be b(0). Suppose 2*p - 5*p = -546. Let q = p - y. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*r**4 - 11494*r**3 + 2683*r + 486?\nAnswer: 996*r**2 - 68964*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c, -3*g + 2*c + 1163 = -407. What is the remainder when g is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 5022 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31927 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2)*(4 + -3). Let n = 4 + -8. Let d be (n\/t)\/(4\/6). Sort -3, 0, d in decreasing order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = m, -61*m = -59*m + 4*g - 10. Suppose 4*a - 7720 = m*y, -1709 = 4*a + 4*y - 9429. What are the prime factors of a?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*m + 21, -3*a = a + 4*m - 32. Suppose a*r + s + s = 31, 2*s = 2*r - 4. Let b(n) = 2*n - 2. Is b(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324686 divided by -36?\nAnswer: -162343\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2889860 and 40?\nAnswer: 5779720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5648*o**2 - 907 + 907 - 5647*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(7 + 13\/((-78)\/36)). Solve -240*x + 4*x**3 - 4*x**m - 7*x**2 + 317 + 835 - 3*x**2 - 2*x**2 = 0 for x.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*r = -31*r + 1578 + 6706 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 1 - 1 + (1 - 1 + 2*h)*(-2*h + 2*h - h) - h**2 - 3*h**2 + 2*h**2 + 665*h - 17*h**2 - 665*h)*(-6*h**3 - 11*h**2 + 11*h**2).\nAnswer: 132*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2280 and 5690?\nAnswer: 1297320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 15*f**2 + 4*f**2 + 4*f**2 + 4*f**2 to the form x*f + t*f**2 + w and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7200) - sqrt(7200) - sqrt(3200)*2)\/(sqrt(10) + sqrt(10)*-2*5 - (-1*sqrt(100))\/sqrt(10))*2.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 + r**2 - r**2 - 2*r**4 - 3*r**4 + 3*r**4 + r**4 + 0*r**4 - 2*r**4 + (2*r**3 + 2*r**3 - 5*r**3)*(2*r + 3 - 3).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, h: 2}. What is prob of picking 2 n?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26*1407\nAnswer: -36582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13928, -27523, -40776, -53687, -66256, -78483, -90368?\n\"Answer: 171*o**2 - 14108*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 26 (b) 4\/11 (c) 1261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 12\/17 and 5389 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i**2. Let u(y) = -35*y**2 + 4*y - 2. Determine u(s(t)).\nAnswer: -7875*t**4 - 60*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x + 13. Let z be i(0). Find the first derivative of 29*j - 49*j**4 + 23 - 29*j + z wrt j.\nAnswer: -196*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -208899922 = -208899922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 475 = 12*v - 10*v, 0 = -3*v + 4*w + 685. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g. Let n(w) be the second derivative of 0*w**3 + g + w**2 + w + 0*w**4 + 0*w**5 - 1\/15*w**6. What is the first derivative of n(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -39*v**2\/5 - 37824*v\/5 + 1164 = 0.\nAnswer: -970, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4122 divided by 6.\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11. Suppose 2*f - 3*g - 768 - 188 = v, 476 = f - g. Let u(r) = -f + 472 + r. Let o(z) = 6*z. Determine o(u(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1\/2*w**2 + 3*w = 0. What is w?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31043 + 1490143\/48. What is the common denominator of n and 93\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95920985 divided by 19184197\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198 - 219 - 7*n - 6*n wrt n?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.4 and -13.299.\nAnswer: -8.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6734405795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 715?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by -4?\nAnswer: 187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2063 or 2066?\nAnswer: 2066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 588. Let s(k) = -6*k - 1760. Determine -5*s(q) + 14*v(q).\nAnswer: 2*q + 568","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/3))**3\/(v**(3\/5)\/(v\/v**(-1\/6))))**(1\/4) assuming v is positive.\nAnswer: v**(257\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/53, -24, 4, 0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 144*v**5\/25 - 33*v**4 - 308*v**3\/15 + 18*v**2\/5 + 4*v - 264. Solve a(t) = 0 for t.\nAnswer: -1\/3, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 2, d: 2, v: 1, g: 1, r: 1}. What is prob of sequence av?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1. Let j(c) = c - 25. Let d(p) = 2*p - 39. Let g(m) = -5*d(m) + 8*j(m). What is -2*g(o) - 10*t(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 467 - 328. Suppose 15*r - 296 - x = 0. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 + (-34)\/(-4). Suppose -2*g = 3*r - 49, 2*r + 3*g = u + 27. Calculate the remainder when 44 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*j**2 - 59*b**3*j*x**2 + 4*b**2*j**2*x**2 - 7*b**2*x**2 + b*j**2*x**2 + j wrt b?\nAnswer: 12*j**2 - 354*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 14, 19, 26, 35, 46?\n\"Answer: p**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/543 - -364\/543. What is the smallest value in y, 2, 3, 7\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.8066 - -65178301\nAnswer: 65178316.8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -1 - 3 - (1099 + -1033)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 824630\/3 and 274876 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25 - -0.05. Which is the second smallest value? (a) 2\/13 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 1. Let t(p) = 6*p**3 + 10. Determine 5*b(v) - t(v).\nAnswer: -v**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 5*p**2 - 3*p**2)*(p**3 - 3*p**3 + 0*p**3 + (-4*p + 2*p + 0*p)*(-1 + 1 - 2*p**2)).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 5 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (222\/(-9))\/((-10)\/45). Suppose -a - 3*t = -0*a - r, 2*t = 8. What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3. Let n(f) = 2. Let v(k) = 3*m(k) - 5*n(k). Let x(d) = -7*d + 5*d - d + 3 + 4*d. Determine 7*v(w) + 2*x(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 53*t**2 + 3*t + 3. Let w(f) = -221*f**2 - 11*f - 12. Give -9*s(r) - 2*w(r).\nAnswer: -35*r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, v: 3, h: 6}. Give prob of picking 1 v and 3 h.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g - 8. Let d be l(-6). Let z(i) = -i**2 - 7*i + 7. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124548868 to the nearest integer?\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 199 = 5*z, -4*q + 4*z = z - 209. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04143 - -142.93857. Let c = 143 - m. Are c and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 - 8*o - 8. Let v(r) = -14*r**2 - 23*r - 23. Give 17*k(g) - 6*v(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(0 + 15\/6). Suppose 12 = -k*n + n. What is the remainder when 32 - 1\/(n\/(-6)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2318715 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(18))\/(sqrt(864)*-4 - sqrt(6))*5.\nAnswer: -5*sqrt(7)\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6691743746?\nAnswer: 2, 491, 1087, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 789, -1 in ascending order.\nAnswer: -2, -1, 1, 789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + (-1064)\/216)\/(3\/(-9)). Sort -7\/10, h, -12 in descending order.\nAnswer: h, -7\/10, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1, 7, 1.4, -2\/37?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46310 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*q**3 - 8 + 8 + (-4*q**2 + 0*q**2 + 2*q**2)*(2*q - 4*q - 3*q) to b + w*q**3 + h*q**2 + a*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102891, -208793, -314695?\nAnswer: -420597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 51937920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, -5539, 62 in descending order.\nAnswer: 62, 3, -28, -5539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.85 + -72. Let r = 3.5 - c. Let a = r + 0.363. Round a to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z + 0*z**3 - z**3 - 17*z + 8*z**3 + 33*z.\nAnswer: 7*z**3 + 84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*11 - (-2)\/2. Suppose -21 = q - 69. What is the greatest common divisor of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/18)\/((-4)\/(-78)). Let j = 15 - g. Let x be 3*j - (10 + -6). Sort x, -2, -3 in ascending order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13280 is divided by 837?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/3)))**(8\/3)\/(f**(4\/3)\/f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u**2 + 5. Let v(a) = a**3 + 52*a**2 + 237*a + 15. Let l be v(-5). Let r(m) = -14*m**2 + 3. Determine l*g(t) - 8*r(t).\nAnswer: 7*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120 - 8a?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -4*i**2 + 0*i - 2\/3*i**3 + 0 + 1\/6*i**4. What is the first derivative of g(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23850757 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. What is the smallest value in -3, 3, -6, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1558\/9 - -173. Let u = -14.1 - -14.214. Which is the biggest value? (a) i (b) 1\/8 (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-20)\/(-8)). Which is the closest to 2\/7? (a) i (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306454512 divided by -3367632?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let x(y) be the third derivative of -y**7\/280 - y**5\/3 + 20*y**2. Let u(q) be the third derivative of x(q). Calculate g(u(a)).\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**3 + 6*r**2 + 3*r - 1. Let t(q) = -32*q**3 + 17*q**2 + 8*q - 3. Calculate 8*h(u) - 3*t(u).\nAnswer: 8*u**3 - 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64817*h**3*x - 2*h**2*x - 7*x + 693 wrt h.\nAnswer: -388902*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 5 - 5)*(-4 + 2 + 3)*(-2 + 3 + 0) to the form f + z*a and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-50) + 1)*-4)\/((-20)\/75)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5855865179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199*d**5 - d**3 - 200*d**5 + 217*d + 3*d**3 - d**2 + 144*d**4 - 2*d**3 wrt d.\nAnswer: -60*d**2 + 3456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.5 - 57.5. Which is the fourth biggest value? (a) y (b) 0.5 (c) 0 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260330 (base 10) to base 8.\nAnswer: 774352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1110)\/444*(-11)\/(-5))\/((49\/(-14))\/(-7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {k: 1, e: 2, x: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let l = -1 - d. Put -2, l, 5 in increasing order.\nAnswer: l, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 - (8 + -4 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 + 10 = 32*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -96?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*d**4 - d**3 - 202*d**2 wrt d?\nAnswer: 2232*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {p: 7, s: 5, o: 8}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -1, 15, 30.\nAnswer: -86, -1, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/3 - 14084*s\/3 + 49589764\/3 = 0.\nAnswer: 7042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 201931393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102 and -2.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20968 or -20965?\nAnswer: -20968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + n + n + 1. Let h(z) = -z**3 - 9*z**2 - 12*z - 33. Let a be h(-8). Calculate d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/320 + (-2)\/20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2312*o - 473. What is the ten thousands digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9 + 4. Which is the nearest to -2? (a) -3 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p + 94 = -34, 0 = -3*t + 4*p + 56. Is 29 a factor of t*282\/12 - (5 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95948 (base 14) to base 9.\nAnswer: -610535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1305404 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2895?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x + x + (-4*x + 5*x + 4*x)*(-19*x - 26*x + 18*x) + 2*x**2 + 4*x - 4*x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -0.4.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + (23 - (-4 + 2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596998 is divided by 545?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, 4, -1.92?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -142*h**2. Let p(x) = 19*x. Give o(p(a)).\nAnswer: -51262*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1544145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/(1\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26022m in nanometers?\nAnswer: 260220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.444*184.6\nAnswer: 266.5624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(637) + -1 + 5)**2 - (0 + sqrt(637) + (sqrt(637) - (sqrt(637) + 0 + 0)))).\nAnswer: -1306 - 98*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4434*w - 17714. What is p(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 29. Let z = -3 - v. What is z rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003765 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 122 = -15*s - 253. What is the closest to 5 in 1\/2, -4\/7, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 18 = -4*p - 7. Let w(j) = j**2 - j + 1. Let x(f) = 7*f**2 - 6*f + 1. Give p*x(r) - 6*w(r).\nAnswer: r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 124, 5, 4, 10.\nAnswer: -5, -3, 4, 5, 10, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 3 + 5 = -24, 5156*i - 12 = 4*b + 5157*i + 24 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 4261*v**5\/5 - 1814*v**3 + 8137. What is the third derivative of t(j) wrt j?\nAnswer: 102264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(sqrt(1100)*1*1 + -3 + ((sqrt(1100) + 1)*3 - sqrt(1100))*1).\nAnswer: -270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/5 - 2221*i**4\/3 - 2464198*i**3\/3 + 2468642*i**2 - 2*i - 304. Factor l(v).\nAnswer: -4*(v - 1)*(v + 1111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 92*p**2 + 193*p - 507. Give k(94).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 104.4. Put 0.3, -3\/2, p, 1 in increasing order.\nAnswer: -3\/2, p, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/13*((-960)\/48)\/(-80)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:40 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.86 - 0.14. Let d = o - -14. Let j = d - -6.7. What is the nearest to -1\/4 in j, -3, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = 86 - 26. Put 29, r, -5 in decreasing order.\nAnswer: 29, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, 0, -1, 5273, -6?\nAnswer: 5273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 - 268. Calculate the greatest common factor of o and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/253*-4*(-3)\/36.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -9236939\nAnswer: 5\/9236939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a + a)*(-2*a**4 + a**4 + 0*a**4) + (-1 + 1 + 2*a)*(-9*a**4 + 153*a**3 - 153*a**3).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23440, 23455, 23484, 23533, 23608, 23715?\n\"Answer: f**3 + f**2 + 5*f + 23433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bmmebemeeeeeembmemm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -3. Suppose 3 + y = 5*x. Suppose -4*c = -x*c - b + 3, 3*b = 5*c + 9. Which is smaller: -1\/5 or c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-3)\/6*3\/12. Let s = 1.93 - -0.07. Which is the third biggest value? (a) -0.4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 + 4*v + 2. Suppose -3*u + u + 4 = 4*q, 0 = u + 4. Let g be t(q). Solve g*r - j - 6 = 0, -4*j + 6 = -r - 2*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3 + 9 + d + d - 4*d. Let k be l(-9). Let a = 34 - k. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 6 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11105 is divided by 2769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96767\/3 - 32256. Which is the second smallest value? (a) 0.3 (b) i (c) -4\/3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.626 + 1.125. Let n = 31.399 - h. What is n rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1584) - (sqrt(1584) + 0))*-3 - (-1 + (-1 + sqrt(1584) - sqrt(1584))))*-5)**2*4 + 3.\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 20 - 26) + -8 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 13*l - 15*l)*(26*l - 15*l - 12*l - l**2).\nAnswer: 25*l**3 + 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38897 is divided by 6992?\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5824 and 12712.\nAnswer: 1322048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508582, -2034328, -4577230, -8137282, -12714478, -18308812, -24920278?\nAnswer: -32548870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 52. Suppose -s*g - 20 = -4*g - 5*l, -l + 31 = 2*g. Does 7 divide (-66)\/g*5*4\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -6 - (-4 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Suppose i*v + 5*s - 14 = 2*v, 3*s - 3 = 0. Let q = -6 + 10. Which is the third biggest value? (a) -3 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-264)\/(-121) + (-6)\/33. Suppose 0 = -z*o - 3*y + 115, -2*y - 140 = -0*o - 3*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:54 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93473.3 minutes to seconds.\nAnswer: 5608398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2. Let v(b) = -b**3 + 4*b**2 + 6*b - 3. Let j be v(5). Suppose -4*n + a + 11 = 4*a, 4*a = -n + 6. Let s(z) = -j - 2*z**2 + n. Calculate s(y(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 6*o + 60. Let g(s) = s**2 - 2. Let b be g(2). Let p(m) = -7*m**b - 9 + 4*m - 6*m - m**3 - 7*m. Calculate p(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4709.065 centuries in years?\nAnswer: 470906.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 4*o**3 - 2*o**3 - 2*o + 3 + 4*o**3 + 3*o**3. What is f(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*l + 1190, -l + 3598 = 3*t + l. What are the prime factors of t?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p**2 + p + 1. Let d(r) = r**2 - r - 4. Let b be d(0). List the prime factors of l(b).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**3 + 46466*a**2 - 5*a - 46466*a**2)*(5*a**2 - 5*a**2 + a**2).\nAnswer: -14*a**5 - 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(108) + -1 + ((sqrt(153) + 2 - sqrt(17)) + 2)**2.\nAnswer: 49*sqrt(17)\/3 + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -432948370 rounded to the nearest 10000?\nAnswer: -432950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106107282 to 6 dps.\nAnswer: 0.010611","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 16. What is the tens digit of j(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 39678*l - 1432296.\nAnswer: 3*(l - 13262)*(l + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*g - 1305*g = 1419 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:02 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 625, 947, 1269, 1579?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.78.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14984\/55 + 2548\/11. Let o = s - 27\/10. Find the common denominator of o and -44\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 25*a**2 + 74*a - 40. Let v be o(-5). Solve -v = -12*j - 417 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -546.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/2 + 2712*t**3 - 10873*t**2\/2 - 56982*t - 48834 = 0?\nAnswer: -5426, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 2775, 4144, 5517, 6894?\nAnswer: 8275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 453*h - 1978. What is the remainder when w(6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, 4\/3, -5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, s: 1, d: 1, j: 1}. What is prob of picking 1 u and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2)\/(-3)*(-174)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2 - 2*n + 12. Let i(b) = 2*b**2 + 3. Let f(w) = 9*i(w) - 2*s(w). Suppose -y + 4*y = -12. Give f(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/((-48)\/(-36))*-14 - 7. Solve -3*f = 4*t - 7 + 17, l = -4*f - t + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-42) - (834\/(-84) + 3\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(272))**2 + (-2 + sqrt(51)\/sqrt(3) + (sqrt(153) - (sqrt(153) + 0)))**2.\nAnswer: -12*sqrt(17) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 390 = -5*z. Let q be (-1)\/(-6) - (-55)\/z. Which is the third biggest value? (a) -2 (b) q (c) 1\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 76*z**2 - 44*z. Let v(p) = -p**3 - 69*p**2 + 40*p. Let s(a) = -11*v(a) - 10*y(a). Let n be 1 + 1 + 2 + -2. Calculate s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q + 184. What is v(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 20 = -2*a, -59*j + a - 20 = -54*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1678 + 2735. Suppose -178 = -5*v + o. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*s - 6*s - 2 = 0, 4*c - 22 = -2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/4*4\/(-2). What is the greatest common factor of z and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3 - 9. Let r(f) = -2 + j - 2*f. Let h(t) = 4*t**2 + 3*t + 3. Let k(y) = 3*y**2 + 2*y + 2. Let p(v) = 2*h(v) - 3*k(v). What is p(r(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/4))\/q*q*q)**(-1\/20)\/((q*q*q**7)\/q*q\/(q*(q**(-1\/7)\/q)\/q*q)*q)*((q\/q**(4\/5))**(-44))**15 assuming q is positive.\nAnswer: q**(-79649\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:54 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -5 (c) -1 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -20. Let t = 4 - 4.06. Let k = -0.14 + t. Which is the nearest to 0.1? (a) 3 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -141, -209, -275, -339?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 1. Suppose 5*u - 3 = -8. Determine x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0111628809 to four decimal places.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97 - 77*a**3 - 63*a**3 + 179 - 200 wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621680 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let j be l(3). Solve j = -4*d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**3 + 3*n + 27. Suppose 9 = -0*t - 3*t. Let h(a) = -7*a**3 + 2*a + 26. Let s(k) = t*h(k) + 2*o(k). What is the derivative of s(z) wrt z?\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 7*c - 23. Let o be p(-11). Suppose -o = -5*g + 294. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.99997 + 4. What is w rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 151\/2598492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = r - 105. Suppose -3*q - 2*q + r = 0. Let l = 35 - q. Calculate the least common multiple of 1 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621\/5031 - (-4 + 3 + -1 - (-108)\/52)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -7. Let x be 354\/(2 - q) - 0. Suppose 5*o + 33 - x = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + -33 + 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 1. Suppose -3*x = 2*p - 6*p + 11, -5*p + 10 = -5*x. Let h(f) = -18*f + 5. Let z(g) = p*n(g) - h(g). Let s(t) = -8*t - 3. Calculate z(s(y)).\nAnswer: 16*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7520906\/11 - 682726. Let z = -698385\/704 + t. Find the common denominator of -55\/12 and z.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(-q**3 - 2*q**3 + q**3) - q**4 - 2*q**4 + q**4 + 5 - 5 + 2*q**4 + 118*q**4 + 65*q**4 + 508*q**4 + 220*q**4 + 253*q**4.\nAnswer: 1160*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose -n*y + 26 = -0*y. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 103 + -6 + 0. Suppose -164 = -12*s + 424. Calculate the greatest common factor of s and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 178. Factor 21 + 2*d**2 - 45 + 24 + n*d**4 - 4*d + 9*d**3 + d**2.\nAnswer: d*(d + 1)*(d + 4)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - 97 - (1 + 33) - (-10 + 2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 1145529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60314569 by -75677.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 5*r + 8. Let p = 36 - r. Suppose 0 = -5*h - t + 2*t + 60, -h + 6 = t. Calculate the least common multiple of h and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b**2 - 28*b - 4 + 19*b + 50 - 5*b**2 + b**3. Let t be n(-14). Put -5, 3, t, 4 in ascending order.\nAnswer: t, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1254)\/836*1*2*-1. Sort b, -2, 1, 34 in decreasing order.\nAnswer: 34, b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2 and 99\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 - a + 1. Let l be u(-2). Let b be 0*(66\/(-18) - -4). Suppose b = l*m - 49 - 5. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/3, -3119, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from affaffafaaaaffffaa.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 14*m**2 + 42*m - 151. What is x(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 12538011?\nAnswer: 12538036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 484, -3, 2\/3, -0.09, 5 in ascending order.\nAnswer: -3, -1, -0.09, 2\/3, 5, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7135.\nAnswer: 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1119 and 1674397.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -796629 or -796648?\nAnswer: -796629","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*sqrt(847) + sqrt(847) + 3)**2*5 + -4 + -3.\nAnswer: 1980*sqrt(7) + 152503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/5 + 6 + -2. Suppose -1060 + 390 = -p*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -677277?\nAnswer: 677281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112687279 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004647097 rounded to 7 decimal places?\nAnswer: 0.0004647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*r - 112 = -239*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/210*123 + -12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 - q**2\/2 - 2*q - 1. Let k = -955 - -957. Calculate the least common multiple of 14 and j(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/776582 and -33\/776.\nAnswer: 3106328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let p = 34 - 39. Let t be (-5)\/p + (0 - -1). What is the closest to z in 1\/5, 1, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*m - 120 = 0, 3*m = -5*o - 45 - 165. What is the hundreds digit of (-14967)\/o - (6\/5)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -5\/6*u**3 + 1\/10*u**5 - 103 - 3*u**2 + 2*u + 15\/8*u**4 - 1\/4*u**6. What is v in q(v) = 0?\nAnswer: -2, -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 2*z**3 - 4*z**3 + (-z + 4*z - z)*(7 - z**2 - 7) + 0*z**3 - z**3 - 2*z + z.\nAnswer: -8*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 18854 = 3*j + 18862, -4*j = -4*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 + n + 9. Let z be u(-5). Suppose -11*s = -z*s - 70. Is 706 + 0 + (s - 10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**10\/136080 + p**8\/10080 + p**7\/5670 + 11*p**4\/12 + 19*p. Let g(v) be the third derivative of y(v). Factor g(j).\nAnswer: -2*j**2*(j - 2)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3410013*j*u - 6*j - 333677 wrt u?\nAnswer: -3410013*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 8025\/(-225))\/(((-2)\/(-105))\/(-2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 2, -2, 4 in descending order.\nAnswer: 79, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1227621 (base 8) to base 2.\nAnswer: -1010010111110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37278.63 rounded to the nearest 100?\nAnswer: -37300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*o = o - 21, 3*o - 9 = -z. Let t(y) = 2*y**3 - 74*y**2 + 373*y + 50. Let u be t(31). Calculate the greatest common factor of z and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 10. Calculate the remainder when 109 is divided by p(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20808\/(-34)*7\/(-14)*(-2)\/(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*w**2 - 6*w - 71*w + 79*w as j*w + k*w**2 + m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2 - 2 + 3*j - 7*j + 7*j + (-1 + 2 + 0)*(-1 + 1 + j) - 5*j + 2*j + 5*j as m + z*j and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 4.46. What is the nearest to -1 in 2, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**2 + 9*k + 67. Calculate the least common multiple of 12 and m(-5).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -2\/5 (c) 0.33 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/24 - (8\/(-3) - -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*z**2 - 7*z**2 + 68*z - 161*z**2 + 108*z + 69*z wrt z.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*y**2 - 106*y**2 + 279*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 33 = -3*m, -5 = -3*a + 4*m - 28. Let w = -4 - a. Solve 0 = 3*n - 2*p + 14, 0 = w*n - p + 6*p + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(1 - (-3)\/2) and ((418\/20)\/(-11))\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -19. Suppose -5*r = -p - 23, 5*p - 4*r + 2*r + j = 0. Let y = 2 + p. Does y = 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -36. Let b be (i - -2) + 0 + -92. Calculate the common denominator of 29 and b\/49 + 0 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4 + 92. Suppose -75 = -2*o + v + 21, 4*o + v = 186. Let p = o - d. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 0, -20 in ascending order.\nAnswer: -20, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 453176 (base 8) to base 7\nAnswer: 1205455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, n: 2, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653*a - 108940 = 513*a - 71*a for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qys when three letters picked without replacement from yqqsyysyqsqyy?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3452262, -13809148, -31070624, -55236690?\nAnswer: -86307346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5*p. Let a be d(-4). Let k be (4 - a\/8)\/(2\/(-12)). Suppose k - 17 = -z. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6886 + -6882. What is the closest to 1\/2 in m, -5, -2006?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2)*(0 - 5). Let q be (161 - 165 - 166\/(-16)) + -2. Is c at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.514 + 4.414. Which is the fifth biggest value? (a) 2\/7 (b) -3 (c) 3 (d) -10\/21 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + 3*c**2)*(-4*c + 4*c + 3 + c**2).\nAnswer: 4*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:59 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-9)\/((-14)\/210*(-30)\/2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -829 + 829. What is the third smallest value in -0.2, -1\/2, -1.1, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - q + 775 = 0, -2*y + 259 = 2*q - 59. Let v = 1 + -4. Let g be y*(3 + (v - -1)). What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/16 - -2 - (-429)\/88. Suppose 9*y - 28 = w*y. What is the remainder when 118 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 189. Suppose 15 = -2*l + i. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrzrzr.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 21*l - 9. Is g(-15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let c(m) = -3*m + 9. Let b be ((-2472)\/22)\/12 + 4\/11. Determine b*h(o) + 2*c(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) -0.3 (c) -1\/3 (d) -16 (e) 3\/767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -135*q**5 + 405*q**3 - 290*q**2 - 20*q + 40 = 0.\nAnswer: -2, -1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 + 317*p**2 - 92*p - 1870. What is k(-53)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 52*p. Let w be v(28). Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13290, -13817, -14344, -14871, -15398, -15925?\nAnswer: -16452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14724643\/6 at least as big as -2454106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -22 - -5 - 830\/50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746724*-0.27.\nAnswer: -201615.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30)*(-75)\/(-840)*-4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**3 + 3*h**2 + h - 3. Let i be b(-3). Calculate the remainder when 2\/(-8) + i\/(-12) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Let p be (-2 + 7\/4)*-8. Let y be p\/j - (-2)\/(-8). What is the biggest value in 1\/2, y, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*256\/(-84) + (-15)\/105 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/8 - 8*o**2 - 9*o. Let t(v) be the first derivative of 56*v**3\/3 + 16. What is t(q(g))?\nAnswer: 504*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38504415 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884459245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37060 and 9248.\nAnswer: 5040160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.111 from -6593743.\nAnswer: -6593732.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:21 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 + 7*u**2 - 3*u - 4. Let r(q) = 3*q**3 + 4*q**2 - 2*q - 2. Let g be ((-44)\/22)\/((-2)\/(-4)). What is g*i(v) + 7*r(v)?\nAnswer: v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 16*t**2 - t**2 + (2*t - 3*t + 2*t)*(-5*t + 5*t - 2*t) - 63*t**2 + 73*t**2 - 40*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(32\/(-3))\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -497*b - 569. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1080 and -93\/680.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -261. Suppose 0 = -3*p + 4*q + 1296, -3*p + 1319 - 23 = -2*q. Let d = p - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - i - 51, -2*i = -7 - 1. Suppose 508*b - 201*b - 23142 = -1346*b. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -28, -43, -58?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 45*x - 11. Let y(d) = 15*d - 4. Calculate -2*q(h) + 7*y(h).\nAnswer: 15*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 17*m + 4. Calculate l(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17*u - 10. Let r be n(-2). Let i be 153\/612 - (0 - (-334)\/r). Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-38)*(-2)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 + n + 12. Let b be c(4). What is the smallest value in 0.3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 97.24.\nAnswer: 98.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 18*g**2 - 20*g + 15. Suppose -11*i + 1064 = -4*i. Suppose 0 = 16*x - 8*x - i. What is l(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 13*z - 22. Let m be 8\/12 + 106\/(-6) + 2. Let y be l(m). Let x(g) = 14*g - 24. Calculate the least common multiple of 18 and x(y).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*p - 2*x - 2, -3*x - 9 = 2*p. Let y = 1076 + -1062. Suppose y = -p*d + 26. Solve 3 - d = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74766.71 decades to millennia.\nAnswer: 747.6671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) - (-420)\/(-48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 52, 20.2, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 33, -4765, 0.2, 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*s = 4*o - 81*s - 212, -o + 4*s = -67. Solve -48*h - 6 = -o*h + 2*a, 3*a = h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3505144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/(-3))\/(2*-1). Let g = -46223 - -46227. Which is the fourth biggest value? (a) 0.02 (b) i (c) 0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35861.1941 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 20, -3*i = -7*i + 5*v + 24. Let s = 148 + -108. Let p be ((-1)\/(-4))\/(194\/s + -5). Which is the nearest to i? (a) 1\/3 (b) p (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 36 = -16*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(228) + sqrt(228) + sqrt(228)*-2 - sqrt(228)) + sqrt(228)) - sqrt(228))\/(-2*sqrt(768)).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 54. Let w = x - -11. Suppose w = 2*z - 85. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304750 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 658 and 517?\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 26*i - 2. Let k(s) = 203*s - 405*s + 203*s + 1. Calculate -2*k(t) - r(t).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.45 - 1.75. Let v = -4.7 + i. What is the closest to v in -4\/5, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92 + 12*k**4 - 92 + (2*k - 2*k**3 - 2*k)*(-3 + 1 + 0 - k).\nAnswer: 14*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/35 in -0.4, -3266, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.398139ml in litres?\nAnswer: 0.007398139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 16180*o + 305976.\nAnswer: 4*(o - 4026)*(o - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8*t - 6*t + 8 = 2*j, 4*j + 5*t + 28 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 2)*(2 + 0 + 36)*(-g**2 - 2*g + 2*g) + g - 4*g**2 - g to n + t*g + b*g**2 and give b.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*q - 135*q + 4*l = -92, 303 = 52*q - 5*l. Factor -12*r**q - 8\/5*r**2 + 0*r + 0 + 44\/5*r**3.\nAnswer: -4*r**2*(3*r - 1)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 18. Let n(i) = -42*i + 123*i - 38*i - 40*i. Determine x(n(j)).\nAnswer: 27*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 606, -37, -4 in decreasing order.\nAnswer: 606, 6, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532767 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - -185?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*0.001.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-14 + (12 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -1784\/9. Let r = 67 + -68.85. Let n = r - -0.85. Sort 5, 0.6, x, n in decreasing order.\nAnswer: 5, 0.6, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3\/(18\/10353). Suppose -572 - y = -9*o. Calculate the remainder when o is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -227?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 364, 363?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.34 + -1.74. Which is the nearest to -0.07? (a) w (b) -0.2 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 47*j**2 - 27*j + 46. Calculate o(24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*s - 832 = 477*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175006076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - -0.4. Let f(a) = 6*a**2 + 1. Let i be f(1). Let m = 12 - i. What is the closest to 1 in m, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/22)\/(((-99)\/18)\/(-11))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/39 + 176\/(-52)*4\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -496.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122252.\nAnswer: 2, 13, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6348)\/(-22) + (-78)\/143. What is the highest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -5. Is i + 0 + (943 - -19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94\/(24\/(-18)*(-12)\/8328)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.424394 nanometers?\nAnswer: 0.000000003424394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122568 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*v - 109*v = -643221. Which is smaller: -7940 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12530\/8234223 + -4\/8259. Let a = -2254684679747\/3988 + 565367275. Let y = x - a. Find the common denominator of y and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + z**3 + 12*z**2 + 9*z - 45 + 0*z**3 + 36. What are the prime factors of k(-13)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22988706 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9503 divided by -559\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v**(-1)\/v)\/v*v**(-17\/4) assuming v is positive.\nAnswer: v**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 1, p: 1, b: 1, z: 1}. What is prob of sequence pz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41102111 (base 5) to base 11\nAnswer: -2070a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 8) to base 15.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 9*t + 7*t)*(4*t + 0*t - 2*t)*(0*t - 17*t - 3*t) to the form y*t**3 + o*t + h*t**2 + n and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 34702*x**3 + 34710*x**3 - 69387*x**3 + 2.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a factor of 252402120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-32 + 0)\/4. Suppose -v - 2 + 4 = 0. Solve -z*k + 3 = -v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.1. What is the biggest value in -0.1, -2\/19, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20949.\nAnswer: 3, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, -2, -4, -0.040642349?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9169.\nAnswer: 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*r. Suppose 0*t = r*t. Let y = -0.193 + -0.407. What is the closest to t in -2\/3, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, y: 1, e: 1, w: 3, g: 3, v: 3}. What is prob of sequence wvv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4897 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 609114071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2052 - 2049. Put j, -2, 41, 17 in decreasing order.\nAnswer: 41, 17, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 53*f + 37*f - 12557 + 12557 in the form w*f + t*f**2 + x and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*l + 12567 - 12641 = 0, 0 = -5*v - 2*l - 47 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5102.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.073ml to litres.\nAnswer: 0.151073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**2 + 0*w + 0 + 0*w**4 - 1\/70*w**7 + 0*w**6 + 0*w**3 + 0*w**5 + 1\/112*w**8. Let z(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.95885 decades to months.\nAnswer: 2395.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {t: 10, c: 6, f: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -25. Let r be (2 - -68) + 2 + -5. Let h = -66 + r. Put h, 4, b, 7 in ascending order.\nAnswer: b, h, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/((-20)\/96 - (-4)\/(-32))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*s + 5. Suppose -6*g + 5*x = -2*g - 10, g = -x - 2. Suppose 0*y - 5*y + s = g. Solve 8 = c - y*l, -20 = l + 4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*m - 6*m. Suppose m*d = 894 + 334. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -53*d**2 - 17. Let f(g) = 4*g**2. Determine f(n(h)).\nAnswer: 11236*h**4 + 7208*h**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2864.2531789 + 0.5\nAnswer: 2864.7531789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1025 - 1025 + 38*r**2 + 3*r.\nAnswer: 38*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1327.1 - 1327.6. Sort k, 0.004, 4, -4 in descending order.\nAnswer: 4, 0.004, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 23. Let a be c(10). Let x be (2\/a)\/(4\/(-6)). Let v be (-9)\/(-15)*(-1 + 6). Put 5, v, x in descending order.\nAnswer: 5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.894 - -0.106. Which is smaller: g or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 5*n + 5. Let l(o) = 2*o**2 + 4*o - 4. Let b(i) = 3*l(i) + 2*t(i). Let s be b(-3). Suppose -3*m + s - 1 = 0. Solve -m*d + 11 = -1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680360870?\nAnswer: 2, 5, 7, 9719441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*i**4 + 55*i**3 + 9*i - 312049 wrt i.\nAnswer: -292*i**3 + 165*i**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Let a be 1*2\/12*-2. What is the smallest value in z, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 6209\/23?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + m)*(19*m**2 - 69 + 69) + (-2*m - 3*m + 4*m)*(2*m**2 - 4*m + 4*m).\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-16)\/6)*-24*342\/1944.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 133963*r + 535836.\nAnswer: (r + 4)*(r + 133959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/6)*r**(-8))**(-4)\/((r*r*r**(-6\/7)*r*r**(-2\/9)\/r)\/((r**(-5)*r*r)\/r*r\/(r\/(r\/r**(2\/7))))) assuming r is positive.\nAnswer: r**(1709\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 510195 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqq when three letters picked without replacement from {q: 2, f: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -5*t, 0 = -4*t + 2*w. Let n(c) = 13*c + 256. List the prime factors of n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = 5*r + 9*x, 95*r - 50*r = 43*r + 2*x + 1 - 39 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1485)\/(-25) + 6\/10. Suppose d = -5*f + 5*a, -f + 0*f = 2*a. What are the prime factors of 112\/f*2*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 0 - (-405752)\/(-112). Let o = 3624 + c. Calculate the common denominator of 3\/4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -25 + (14 - -24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1438 - 538. Suppose -6*h = -16*h - v. Let d = -47 - h. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s - 3*s)*(-4*s + 4*s - s**2)*(-80 - 73 + 170).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -679 or -683?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107084, -214206, -321328?\nAnswer: -428450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(3)*-5 + 5.\nAnswer: -30*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 56*r + 487. Calculate s(45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.91 - 13. Let m = b - 0.21. Put -8, m, -4 in increasing order.\nAnswer: -8, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t - 3. Let x(y) = 2*y**2 + 4*y - 6*y**2 - 2 + 6 + 3*y**2. Let l(h) = 4*m(h) + 3*x(h). Let a(p) = -8*p. What is a(l(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5 - 3. Let l be 25\/3 - q\/(-12). Suppose 0 = i - w + l, 2*i - 5*w = -2*w - 23. Let v(j) = j. What is v(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5)*(-60660)\/36. Round f to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20465 is divided by 3940.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + 3 + (-39 - (10 - 17)) + -2\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8)\/(30\/60). Suppose -3*a - 20 = -0*i - 4*i, 0 = -5*i + 2*a + 18. Let n = i + c. Solve -n*g - 16 = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/742 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 10}. Give prob of sequence zzt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r**2 - 5. Let x(h) = 273*h**2 - 104. Suppose 2*y + 144 = 352. Let p(t) = y*o(t) - 5*x(t). Let c(u) = 3*u**2. Determine c(p(f)).\nAnswer: 507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/8)\/(-1))\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 9*a - 40*a + 2*a**2 + 18*a to the form f + x*a + p*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025099.\nAnswer: 3, 61, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 7*k**2 + 3*k - 2. Let c(h) = 10*h + 2. Let q be c(-2). Let l = -11 - q. Is s(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3 + (-80)\/(-25)) - 2*1. Solve 8*s - 10*s - f - 10 = 0, f - p = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38362 at most 38362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, -29, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/25)*s)*s**(-10))\/(s**0)**(-3\/7))**(-2\/49) assuming s is positive.\nAnswer: s**(72\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 551027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/2)*k**(-2\/31))**49)**(-2\/33) assuming k is positive.\nAnswer: k**(-4361\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26203310801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(114)\/(sqrt(6) + (sqrt(6) - sqrt(150)) + sqrt(6))*-5 + (-2 + sqrt(95)\/sqrt(5) + -4)*-4)**2.\nAnswer: 168*sqrt(19) + 3235\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/105 + 11\/28. Suppose 5*u = -2*t + 5 + 9, 0 = -3*t + 3*u. Determine d so that g*d + 3\/8*d**t - 3\/8*d**3 - 1\/4*d**4 + 0 = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 3*p**2 - 2*p + 3. Let o be u(2). Let b(c) = -c - 12. Let t be b(o). What is the remainder when 2\/t - (-536)\/14 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 6, x + 3 = -x + 5*n. Let p = x - -9. Suppose -5*h - c = 832, p = 2*h + 4*c + 247 + 93. Round h to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - 5.4. Let i = 19 - 19.5. Let f = -21 + 26. Sort q, i, f in descending order.\nAnswer: f, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 615*k*v**6 + 106527*k*v**4 - 176*k*v**2 + 20*k - 958*v**2 wrt v.\nAnswer: 73800*k*v**3 + 2556648*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 63. Let r = s + -25. Suppose r*v - 16 = -8. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 2. What is g(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let d = -2.9 + 3. Let l = 0.4 - d. Sort l, 2\/3, i in descending order.\nAnswer: 2\/3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and 19688.\nAnswer: -3386336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-66) + ((-4613954)\/(-22) - -1). Suppose -z + 594926 = -4*u. Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 - 10 = 4 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -6*y + 110 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-5) + 12\/20. Let i(h) = 2*h - 4. Let b be i(u). Solve 0 = 4*c + 14 + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342 - 372. Let h(a) = a**3 + 31*a**2 + 16*a + 40. Let l be h(x). What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4295 by 5.\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 22*c**2 + 624*c + 38. Give u(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxvxvvvbbvb. What is prob of sequence vh?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/12 + 3*z**3\/2 - 2*z**2 - z. Let w be x(8). Suppose -w - 11 = -5*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 272 + -565a?\nAnswer: -53c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1781640 and 126?\nAnswer: 1781640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1301 (base 5) to base 4\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*v = 525*v + 1416 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1729.31921 + 1729.4. Let u = 4.92 + -5. Let t = u + b. What is t rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*1*0\/(-5). Suppose s = 19*a - 15*a - 2*q - 12, 3*q + 17 = 5*a. Solve -4*o = -2*p + a - 3, p = 3*o - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b + 7. Suppose -s + 45 = 4*s. Let c = 10 - s. Let g be (c\/1)\/(4\/(-20)). What is j(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:49 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k + 4*b - 28 = 0, -4*k = -4*b - 12. Let h be (-28)\/140 + (513\/k)\/3. Suppose -n + h = -3*x, -2*n + 5*x = x - 68. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 (base 12) in base 10?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69580 and 120700?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, o: 1, n: 1, y: 3, l: 3}. Give prob of sequence jo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 - 8 = 0. Let a(r) = r**3 + 3*r**2 - 5*r - 2. Let q be a(o). What is the second derivative of 4*c - q*c + 5*c - c - 4*c**2 wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 42. Suppose l - 58 = -k. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2679518 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.87 + -1.37. Let r = -131\/4 - -33. Let q be 4\/7 - (-4)\/(-6). What is the closest to -5 in u, r, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03654 + -0.03665788. Round x to six decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87656.9 millilitres in litres?\nAnswer: 87.6569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 67*m + 234. Give j(19).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + (-118)\/6. Let q be (38*(-5)\/40)\/((-20)\/(-80)). Let a = q - f. Is a smaller than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138)\/(-7) - 2\/(-7). Suppose -b = 3*b - p. Suppose 0*y + 4*z + 43 = -b*y, -18 = 2*y + 2*z. Sort -3, y, -4 in decreasing order.\nAnswer: -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 180, 270, 358, 444, 528, 610?\n\"Answer: -u**2 + 95*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(1 + 0))\/(-1) - -7. Suppose 4 = -4*w, 5*y - d*w = -0*w + 15. Let l be 4 + (0 - (-2)\/1). Solve 0 = -2*s - y*k - 2*k + l, 5*s - 15 = 5*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 1)*(-955 + 36*n + 955)*(-2 + 1 + 5) + 2*n - 4*n + 4*n)*(-3 + 0 + 5)*((0 + 0 + 1)*(4 + 0 - 2) - 9 + 7 + 4).\nAnswer: 3472*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.23 (b) -3.3 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*g = -10 + 33, 5*d + g = -19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i - 13. Let u be n(-5). Let m = u + -18. Let x = -9 + 5. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598981936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8\/5)\/s)**18\/(s\/s**11*s**14) assuming s is positive.\nAnswer: s**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**23*z*(z*z*((z*z**(-42)\/z*z)\/z)\/z)\/z*z\/z**(-21\/4)*z**(3\/10) assuming z is positive.\nAnswer: z**(-209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202411, 811574, 1826853, 3248254, 5075783, 7309446, 9949249, 12995198?\n\"Answer: f**3 + 203052*f**2 - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 + p - 4. Let w be r(8). Let t(a) = 2*a - 5 + 12 - 5 + w*a. Let m be t(1). Solve -2*y - 2*y = -m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(660) + sqrt(660))\/((-2*sqrt(132) - sqrt(132))\/sqrt(12)))\/(2*(sqrt(768) + sqrt(768) + sqrt(768)*-3)*-6).\nAnswer: -sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 + 2. Let f be l(7). Let a(d) = 3*d**f - 4*d**2 - 3 + 1 + 2*d**2. List the prime factors of a(8).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05593 + 0.05593. Which is the third smallest value? (a) -1 (b) -165\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81 + 70*y + 14*y - 75*y + (6 - 2 + 1)*(-2*y + y + 2*y).\nAnswer: 14*y - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**3 - 2*w - 2. Let f be -5 + -6*6\/(-9). What is the remainder when y(f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6176\nAnswer: 1\/1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 4*s**3\/3 + 815*s. Let j(q) = 32*q**2. What is m(j(d))?\nAnswer: 256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*q - q + 5*q)*(1 - 3 + 0) + (1 + 1 - 3)*(-q + 0*q + 3*q))*(-8 + 17*q**2 - 20*q**2 + 0) as c*q**2 + b + i*q**3 + h*q and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - g - 23, 2*a + 3*g - 20 = 7*g. Suppose p = -a*v - 0*v - 11, -2*p - 5*v - 10 = 0. Solve 5 = -2*o - 3*j, o + p = -5*j - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437 less than or equal to 3442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 + a + 2 + 5*a + 2*a. List the prime factors of m(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjrt. What is prob of sequence jrt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016099322 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222\/29 - 415\/58. Factor 5*o + 25\/2 + f*o**2.\nAnswer: (o + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1012722*n**6 - 105973*n**2 + n wrt n?\nAnswer: 121526640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (152\/24 - -3) + -4. Let j(g) be the first derivative of -2*g - x*g**3 - 7\/4*g**4 - 11\/2*g**2 - 4. Let j(b) = 0. Calculate b.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361298 + 81200 = -6*c - 8*c. Does 262 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 + 3*p**2 + 5*p - 13. Let f(l) = l**3 + l**2 - l. Let x(j) = -a(j) - 5*f(j). What are the prime factors of x(-10)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzccczcccccccccccc. What is prob of sequence czcc?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26829136 and 2232.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -302341424?\nAnswer: 302341432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l**3 + 2827*l**2 - 180304.\nAnswer: 18*l**2 + 5654*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose 8 = w*l - l. Suppose 2*s = 2*m + 13400006, -l*m - 6147984 = 4*s + 20652004. What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - c**3 - 9*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5457 - -10081. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 + -8 - (258 + -274))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 2*c**6\/15 + 31*c**5\/5 + 86*c**4\/3 + 112*c**3\/3 - 1722*c. Factor t(r).\nAnswer: 4*r*(r + 1)*(r + 2)*(r + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 17 = 3*p, -2*p + 4*m - 17 = -7*p. Suppose 0 = -0*r + 4*r + 4*z + 80, p*r = z - 94. What is the smallest common multiple of 1 and (-1)\/(-2) + r\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + a - 57 = 0, 203*w - 5*a = 205*w - 117. What is the remainder when 17413 is divided by w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 2:15 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/195 and -64\/249.\nAnswer: 16185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10206 and 44856?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155772607 to the nearest integer?\nAnswer: 12481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 19)*(2*n - 5*n + 2*n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 13. Let x(m) = 3*m + 8. Give 5*s(j) + 7*x(j).\nAnswer: j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -549041\/30 or -18302?\nAnswer: -18302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -39. Let a(f) = -1023*f**2 + t*f + 1025*f**2 + 0*f. Let d(l) = -3*l. Give a(d(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-10) + 2\/5. Suppose z*m + 4*y - 43 = 0, 3*m + 0*y - 40 = -y. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j - 1. Let h(w) = 3*w**3 - 3*w**2 + 3*w - 5. Let y be 6\/(-9)*(-27)\/(-6). Give y*f(g) + h(g).\nAnswer: 3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 14*j + 1. Let w be v(-14). Let g be 4 - (0 - 1 - w). Let h(a) = -2*a**2 - 6*a + 6. Let b(u) = -u**2 - 5*u + 5. Give g*b(z) - 5*h(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(21 + (-619664)\/(-576) - (-8)\/18). Which is greater: -8780 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 4) to base 8\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -r - 34, -20 + 79 = 5*x - 4*r. Suppose x*l + 20913 - 60755 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - i**4 - 2*i**2 - 64*i**3 + 122*i**3 - 3*i - 57*i**3 to the form j*i**3 + a*i**4 + r + g*i**2 + q*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - 3*f - 2*f - 87, -5*g = 2*g - 3*g - 11*f - 65 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-450)\/(-20)*(-16)\/(-10). Let j(d) = 36 + 2*d - s. Let t(r) = -2*r**2 - 3 + 3. Give j(t(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -1571, -1563, -1551, -1535?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514 - 480 = 4*u + 2*o, -5*u = -5*o + 160 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17921049 and 3228?\nAnswer: 71684196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7588623ug to milligrams.\nAnswer: 0.0007588623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 times 3862?\nAnswer: -262.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*v - 11, 0*k = v + 3*k + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18673876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 54*y - 697. Let c be x(-21). Sort -3, 31, 2, -1, c.\nAnswer: c, -3, -1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*u - u + 142 = 53 - 338 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5\/7 - 81*z**4\/7 + 6527*z**3\/7 + 2523*z**2 - 360226*z\/7 - 53040 = 0.\nAnswer: -130, -8, -1, 7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*h**3*m**3 - 9*h**3*m - 2*h**2*m**3 + 16*h*m**3 - 997*h*m**2 + m**2 wrt m?\nAnswer: -588*h**3 - 12*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oogjgjojjo. What is prob of sequence jj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22339477 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 14*s**2 - 5*s + 32. Determine y(5).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 224148554 divided by -302087?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -405*r. Let c(g) = 33*g**2. What is c(i(z))?\nAnswer: 5412825*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*u + 2 = 2*y, 5*u = y - 21. Let w = 0 + 1. Which is the biggest value? (a) 3 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3822 + -3829. Let r(v) be the second derivative of v**4\/4 - 5*v**3\/2 - 9*v**2\/2 + v. What are the prime factors of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -880, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {d: 2, p: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 - 3*t**2\/2 + 471. Let u(x) = x. What is l(a) - 3*u(a)?\nAnswer: a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 - f + 8. Let d be u(6). Let m be 12\/(-2)*(-5)\/d. What is the highest common factor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o = -22*o - 1296. Is (-16)\/(o\/(-58217)) + 4\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -172.\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 289, 661, 1211, 1957?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2 + 0*z + 5*z**2 + 7*z - 3*z**2. Suppose -3 = s + 3. Let y(g) = 5*g + 8. Calculate s*y(i) + 7*b(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65152168527\/17066 + 3817659. Find the common denominator of j and -123\/10.\nAnswer: 85330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 3. Let y be w(0). Let b(d) be the first derivative of -d**4\/4 - d**3\/3 + 2*d**2 - 16. What is the units digit of b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/9)\/v*(v\/(v\/(v*(v\/(v\/(v\/((v*v**(1\/6)*v)\/v))*v*v*v))\/v)))\/v*v*v)**(-5\/6) assuming v is positive.\nAnswer: v**(185\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350 + 6055 = 5*b. Is b\/((8 + -6)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 3*l**4\/8 + l**3\/3 + l**2. Suppose -6 + 0 = 3*j. Let t be 1 - (-10 + 3 + 3). Let y(z) = 4*z + 1. What is j*a(x) + t*y(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3305.3 - -3305.30020653. Round g to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:46 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*2*2 + -6*(sqrt(833) - sqrt(833)*-3) + sqrt(833))**2*5.\nAnswer: 1503565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105358362 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314 + 2234 = 40*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from kkakauxakuukkk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2064 = 8*i - 712. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 4 + 1 + 1 + (2*r - 7*r - 3*r)*(-7*r + 3*r - 8*r) + 2*r + 3*r**2 - 2*r in the form t*r**2 + j*r + n and give t.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8037.04nm to kilometers.\nAnswer: 0.00000000803704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -335\/26 + 2\/39. Suppose 35 = 2*l - 11. Let u = l - 91\/4. Find the common denominator of d and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7 + 2 - 23*y - 18.\nAnswer: -23*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 + b - 1. Let m be r(4). Suppose -2*g = -g - 109. Suppose 56 + g = 5*n. Solve 0 = -m*p - 2*d + 22, n = 4*p - 2*p + 5*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3528*g**2 + 1165628*g - 1165628*g as t + d*g**2 + k*g and give d.\nAnswer: -3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1132?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:50 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q + 30. Suppose -2*x - 3 = -5*y + 17, -28 = -4*y + 4*x. Suppose -m + y = -q. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c = -51*c - 5*f + 34280, 27423 = 4*c + 5*f. Is 42 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 55*g - 1481 = 0, -3*c + g - 67 - 40 = 5*g + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + 3*s + (3 - 4 - 1)*(-5 + 5 - s) + (-3 - 3 + 4)*(1216*s + 404*s + 196*s)*(3 - 4 + 0).\nAnswer: 3637*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f + 20. What is g(9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 1\/6*p**4 - 1\/2*p**2 + 0 - 32*p + 1\/20*p**5 + 1\/2*p**3. Let l(f) = 2*f - 1. Let c be l(-1). Calculate s(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24112127*z**3 + 12300455 wrt z?\nAnswer: 72336381*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 805 + 38 = 0. Calculate the remainder when 3\/2*(42 - -8) is divided by p\/(-39) + 2\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50762103 (base 8) in base 14?\nAnswer: 15d8403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + 4. Suppose 0*l + l = -4. Give n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1611*k + 4947. Calculate i(-3).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2. Let r(a) = a - 3. Let j be r(6). Suppose 0 = 2*q - j*q - 5. Let i(z) = -z**3 - 4*z**2 + 5*z - 2. Let d be i(q). Calculate k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 208*m - 188. Let k be i(1). Let r = -4 + 84. What is the greatest common factor of r and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12809591167 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3723*f + 52471. Give p(14).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1771 and -1766 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/(-2))\/(6\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let c(k) = -k**2 - 8*k. Let a(q) = -c(q) + 4*i(q). Find the second derivative of a(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -7, 20, 3, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 34*m + 4. What is the remainder when t(1) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 2 = -x + 24*n, -n = -4*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 7, d: 2, j: 10}. Give prob of picking 1 u, 1 j, and 1 s.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 + 32*o**2 - 8*o - 7. Calculate the remainder when r(-8) is divided by ((-23)\/9)\/((-21)\/(-63))*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-2 + 4 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2938 or -3\/2?\nAnswer: -2938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411053 is divided by 368.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**3 - 1. Suppose 2*k - 1 - 7 = 0, -5*g - k - 26 = 0. Let j(m) = -15*m**3 - 2. What is g*j(a) + 11*n(a)?\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.267 times -0.0283?\nAnswer: 0.0358561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let x(q) = -2*q + 9*q + 2*q - 9 + q. Let r(i) = -x(i) + z(i). Let y be r(-13). Calculate the highest common divisor of 44 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c*m**4 + 6*c*m**2 - 4*m**5 wrt m?\nAnswer: 312*c*m - 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 2358072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g - 320 = -3*c, -3*c - 4*g + 338 = 0. Suppose 2*l = -0*l + c. What is the highest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1. Let q(z) = -10450*z + 10469*z - 9 + 11. Determine 2*m(s) + q(s).\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70321.14 from 3.\nAnswer: -70318.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4076759611 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = -7*d + 9*d, d - 4*a - 16 = 0. Solve d = p + 4*v + 8, 0 = -0*p - p - v - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 1, 8, -8, 0.53, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -186*y**3 + 4*y**2 + 4*y + 3. Suppose 0*w + 3*t = 3*w + 6, -8 = 4*w + 2*t. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -65*u**4\/24 + u**3\/3 + 7*u**2\/2 - 2. Let c(p) be the second derivative of d(p). What is the units digit of c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/7 - 13714*o**2 - 575952000*o\/7 + 288000000\/7.\nAnswer: -2*(o + 12000)**2*(2*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -25, 27, 131, 305?\n\"Answer: 3*g**3 - g**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24898 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: Is 239 a factor of 384150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 10. Suppose -125*a = -114*a - 55. Suppose -5*x + 45 + o = t, -155 = -2*t - a*x. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 13 (b) 358 (c) 3 (d) 0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 92*m + 429. Let w be y(-6). Solve w*p - 33*p - 48 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1.9 (b) 3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 483028262?\nAnswer: -483028259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 317 = 341. Let t(x) be the third derivative of 0 + 1\/270*x**6 - 21*x**2 + 0*x**3 + 0*x**5 + 0*x**l + 0*x - 1\/135*x**7. Factor t(h).\nAnswer: -2*h**3*(7*h - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -13.75.\nAnswer: -316.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from uguguguugguugguggugu?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84965491 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: How many minutes are there between 10:53 PM and 3:58 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, -3, -121.\nAnswer: -121, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 202 - 94 = -5*w + 3*n + 94, 3*w - 2*n = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 834472 + -1668943\/2. Factor 120*l**2 - 1325\/4*l**3 - 33\/4*l - h.\nAnswer: -(5*l - 1)**2*(53*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l. Let b(t) = 1090*t - 1. Calculate b(p(q)).\nAnswer: 5450*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 + 0.1. Let v = 0 + l. What is the biggest value in 0.3, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27544224, 27544228, 27544234, 27544242, 27544252, 27544264, 27544278?\n\"Answer: l**2 + l + 27544222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 22541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 166577014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16691028 divided by 4172757.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*x + 6*x + 2*o, -5*o = 3*x - 18. Let m = -0.125 - -20.525. Let c = m - 20. Put x, 2, c in descending order.\nAnswer: 2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 119*x - 57*x - 62*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 73. Suppose r - 2*r + u = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.09 - -79. Round v to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/15 greater than 0.556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*(sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*5 - sqrt(170)))))\/(2*-4*sqrt(490)))**2.\nAnswer: 3825\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 69 = -27. Solve 0 = -y + 9 - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5*a + 6, -15 = 5*k + 3*a - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 93. Let j(a) = a**3 + 8*a**2 - 6*a + 10. Let h be j(-7). Let q = w + h. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(147)*-2 + -2)**2.\nAnswer: -168*sqrt(3) + 5296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 25*t - 511. Let g be b(22). Solve 42*x - g*x - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18307313 a multiple of 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 - 4. Let z = 0.209 + 11.891. Let l = -16.1 + z. Sort -2, l, i in ascending order.\nAnswer: l, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let u = 2 - 0. Let g(r) = -3 - 13*r**2 + 3 + 8*r**u. Give l(g(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 192 = 8*m. Let b be m\/21 + 15402\/119. Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 15, -0.0009, 10 in descending order.\nAnswer: 15, 10, -0.0009, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1100\/(-40) - -31)*((-5)\/(-7) - (1 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39132661.\nAnswer: 2179, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -45*j. Let s(y) = -34*y**2 - 21*y**2 + 71*y**2. Give s(a(u)).\nAnswer: 32400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3232 (base 5) to base 16.\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165969983*b**3*o - 9*b**2*o + b + 6*o - 14193 wrt b?\nAnswer: -995819898*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1205017 (base 8) to base 12\nAnswer: -13b153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*x + 98*x + 116*x)*(-1 - 3 + 1) + 4*x - 3*x + x.\nAnswer: -763*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64123.18 years to months.\nAnswer: 769478.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114382*t**4 + 135124*t**2.\nAnswer: -2745168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-150)*1\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)\/((-6)\/2 - -4). Solve r*s + 2 - 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/90 + 7*j**5\/45 + j**4\/3 - 832*j**2. Factor q(n).\nAnswer: 4*n*(n + 1)*(n + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 28 - 23 + 7*l + 0*l. Let v(q) = 10*q**2. Calculate s(v(y)).\nAnswer: 90*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 258. What is the greatest common factor of p and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, -838 in decreasing order.\nAnswer: 0, -2, -4, -838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1780645.01096 + -1780713. Let x = -68 - l. What is x rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 6*h + 2. Let b(i) = 2*i**2 - 5*i - 2. Suppose 5*d + 2*c - 21 = 0, d - 4*c = 11 + 2. Give d*b(n) + 4*q(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1436 at least as big as -450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 15 = 27*y, -p - 4*y = -14 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2583*f**6 - 3*f**4 - 22*f**3 + 4*f**2 - 22582.\nAnswer: 309960*f**3 - 72*f - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.8 + -119.7. Let s = j + 43.89917. What is s rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*g*m - 2*a*g + 35*a*m - 2*g + 9*m with respect to a.\nAnswer: -g*m - 2*g + 35*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5659166919 - 161\nAnswer: -5659167080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmmrrrmrrmmmmmmrrrr. What is prob of sequence rrm?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihni when four letters picked without replacement from {i: 2, h: 1, n: 2, v: 6}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -525107147 or -525107150?\nAnswer: -525107147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 + 27*r - 17*r**2 + 8*r**2.\nAnswer: r**2 + 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x + 2. Let k(n) = 4*n**3 - 123*n**2 - 134*n + 14. Let r(a) = k(a) - 7*z(a). Determine d so that r(d) = 0.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:41 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 193*b - 593*b + 203*b + 199*b. Let w(y) = -208*y**2 + 3*y. Calculate w(j(o)).\nAnswer: -832*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*h**2 + 100*h**2 - 7108 + 7108 + 108*h**2 + 98*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 454524993 to the power of 1\/2, to the nearest integer?\nAnswer: 21320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a + 9*b - 3*b, -5*b + 14 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 392.82 - 393. Let y = -0.19 - -0.59. Which is the nearest to y? (a) n (b) -2\/23 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17660 + 9*m + 35322 - 6*m - 17662.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((2\/4)\/((-204)\/561*11)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/3272 and -47\/776?\nAnswer: 317384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let j be i(-1). Suppose -3*s - d + 21 = 2*d, -3*s + 4*d = j. Solve 0 = 2*u - s*w - 14, -2*w = 5*u - 2 + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100213 (base 4) in base 9?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183579019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 7 + (45 - (-22 + 12 - 0))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let s be 98*((-21)\/f - 3). Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7088*v - 80 = 5*g - 7068*v, v = 4*g + 30 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33971979 to the nearest integer?\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 816*m + 8167. Calculate z(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -16, -62, -134, -232, -356?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52378 + 154707. Suppose 4*l - 2*y = -y + z, -3*y + 103539 = 2*l. Let g = l - 126771. What is g rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11701470*u**2 - 2. Let c(s) = -3*s**2. Calculate p(c(l)).\nAnswer: 105313230*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658a88 (base 11) in base 10?\nAnswer: 2823026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*240205.\nAnswer: 720615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 2, 3 in increasing order.\nAnswer: 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2 - 5. Let w = 3 + i. Suppose -15 = -7*a + w*a. Are 3 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-500)\/750*2\/((-56)\/60)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11467 by 33.\nAnswer: -11467\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d9d4 + -517?\nAnswer: -deeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l. Let y(z) = 5*z + 2*z**3 + 19*z**2 - 19*z**2 + 0*z. Give 2*x(c) + y(c).\nAnswer: 2*c**3 - 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1*2\/(-6). Suppose 21 - 9 = 4*d. Solve -1\/3*z**4 + 0*z**d + 0*z + 0 + a*z**2 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-8)*r)*r\/r**(-9)*(r\/r**(3\/2))**(-3\/16) assuming r is positive.\nAnswer: r**(579\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -679 + 678. Let j(d) = -2*d**2 - 4*d - 4. Determine j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose 4*l + l - 60 = 0. Let x(t) = 3*t**3 - 2*t**2 + t. Let f be x(1). Solve -r*j + f = l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21944 - -21957. Put -1, g, -33, -5 in increasing order.\nAnswer: -33, -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 3*i**2)*(3 + 3*i - 3).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 153*w**5\/10 - w**3\/3 - w**2\/2 + w. Let a be m(-1). Find the common denominator of -119\/10 and 2\/(5\/(a\/18)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 3827 + 90 - 2887 = 0. Calculate the lowest common multiple of 40 and y.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4521.3 + -4524.3. Sort 5, 2\/9, v, -388\/5, -2\/11 in descending order.\nAnswer: 5, 2\/9, -2\/11, v, -388\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3998265226.\nAnswer: 2, 32983, 60611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:22 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9\/5))**(14\/11))**(-15) assuming x is positive.\nAnswer: x**(378\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17959702 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/55 and 14\/515.\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 213 (b) 15 (c) -0.12 (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257093 is divided by 5470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 22 = -9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*1.32178.\nAnswer: 0.198267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -794104\/9 at most as big as -88233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5472 and 55917?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = 3*h + 9, h + 3 = 0. Let n be (-4 - -6)\/((-4)\/7)*4. Let z be -4*(-2)\/n + (-4)\/(-7). Solve w*x + 5*j + 24 = z, 4*j = -4*x - 0*x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 23*b**2 + 30*b**2 + 36*b**2 + 35*b**2 - 152 - 123*b**2. Let a(g) = 24*g**2. Give a(l(t)).\nAnswer: 24*t**4 - 7296*t**2 + 554496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2)\/(-3)*(-1)\/((-74)\/1473081)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 271300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -51*f - 1. Let z be g(-1). Suppose -z = -4*l - 2*o + 3*o, l - o - 14 = 0. Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 14*z - 4*z)*(3*z**2 - 4*z**2 + 3*z**2)*(2 + 2*z - 2 - 1 + 1 + 2*z + (-2 + 2 - 2)*(0*z + 2*z - 4*z) - 2*z + z + 0*z + z + z - 4*z).\nAnswer: -200*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105421779.\nAnswer: 29, 3499, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:01 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.5 + -6.5. Let b = 15 - j. Let r = b + 16. What is the third smallest value in 3\/2, 2\/11, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000134653892 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.633 + 1.077. Let l = f + -4.81. What is the closest to l in -0.3, -1\/4, 1, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 16) in base 14?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58753.\nAnswer: 41, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z. Let m(a) = 84*a**2. What is v(m(j))?\nAnswer: 504*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -164046?\nAnswer: 5\/164046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 302246543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 102749?\nAnswer: -102740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*r - 3365 = 0, 0 = -t + 5*r - 2*r + 843. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 658 = -5*k, 0 = -2*r + 5*k + 397. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let u = -23 + 23. Which is the nearest to 1\/2? (a) -3\/5 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 116*d**2 - 22*d - 23. What is t(-1)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 12400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 4. Let i(p) = -7*p + 2. Let c(r) = 5*i(r) + 4*l(r). Let h(m) = -4*m - 2. Calculate -3*c(f) + 8*h(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283080?\nAnswer: 2, 3, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -52*u**2 + 0*u**3 + 0*u - 97\/24*u**4 + 0*u**5 - 3\/8*u**6 + 0. Find the second derivative of a(q) wrt q.\nAnswer: -270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g**(-5\/3)*g))\/g)*(g*g**(1\/6)\/g*g*g)\/g)**(-12)*g\/(g*g**3)*g**(-1\/5)\/g*(g**(2\/5)\/g*g)\/((g\/g**(-1\/11))\/g) assuming g is positive.\nAnswer: g**(-1864\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s - a + 1, 0 = a - 2. Solve 0*d = -s*d - 4*y - 8, 4*d + 4*y + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + a8522?\nAnswer: a8520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 536?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/203 + (-2)\/70)*-10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*d - 14, x + 0*x = 2*d - 3. Let j(i) = i**2 + 6*i + 5. Let o be j(x). Solve -y = 5 - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68600514 to three decimal places.\nAnswer: 0.686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 5. Let h be o(3). Suppose h*f = 6*f + 364. List the prime factors of f.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20664 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 2 - (-17120 + 17128).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387166, -1548882, -3485084, -6195778, -9680970?\nAnswer: -13940666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47937 and 63498.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189362 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + 1585433693561\nAnswer: 1585433693560.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 20*p + 0 + 2)*(-3*p**3 + 3*p**3 - p**3).\nAnswer: 16*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830487412 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:05 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*18\/(-8))\/(123\/328). Let c(b) = -9*b**3 - b. Let u(r) = 9*r**3 + r. Calculate p*c(s) - 7*u(s).\nAnswer: -9*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8464125, -16928317, -25392509, -33856701, -42320893?\nAnswer: -50785085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + t - 290 = 6*t, 6*g - t = 343. Suppose -g - 513 = -38*s. Let j = 114 - 66. What is the lowest common multiple of s and j?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, e: 4, o: 5, s: 2}. Give prob of picking 2 y and 1 s.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 2, -0.11, 2350\/9, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, 6, 20, -3312.\nAnswer: -3312, -2, 4, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**3 - 1\/120*t**6 + 1\/12*t**5 - 5*t - t**2 + 0 + 3\/8*t**4. Give o(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Suppose 4*t - 3*l = 21, 2*t + 13 - 4 = -5*l. Suppose -v + 12 = t*v. Calculate the highest common divisor of v and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 26609469?\nAnswer: -4\/26609469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 19959.54.\nAnswer: -19962.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -688 + 2132\/3. Suppose 0 = 4*x - 2*b, -2*x - b + 10 = x. Let q(i) = -6*i + 5. Calculate the common denominator of q(x) and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286333?\nAnswer: 286333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.43 + 0.11. Let i = t - -0.32000784. What is i rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.6. Let t = 0 - d. Put t, -1\/3, 0 in descending order.\nAnswer: t, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 922 + -303. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25)*-2*(-30)\/(-4). Let y(j) = j**2 + 6*j + 4. What is the least common multiple of y(i) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 16514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/4)\/(b\/((b\/(b*b**(2\/7)\/b*b))\/b))*b**2*b**3\/b*(b**(-1\/4))**(-1\/18)\/(b*b*b**1)**(1\/4) assuming b is positive.\nAnswer: b**(871\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:11 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 3. Let s(h) = -h - 2. What is -6*s(q) + 5*u(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-2)\/192). Let c(l) = l + 9. Let r be c(-6). Suppose 4*i = -3*z - z - d, -r*i + 5*z = -4. Let s(m) = m + 9. Give s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 48. Let o be v\/6 - (-26)\/(-39). Factor 10\/13*a + 8\/13*a**o + 2\/13.\nAnswer: 2*(a + 1)*(4*a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19214 = -23*r + 4867. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 14*s - 69. Let u be (200\/(-15))\/4*(-6)\/4. Suppose -u*n - 210 = -120. Let h be o(n). Solve -h*a + 0*a - 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) 2 (c) 3 (d) 0 (e) -4\/1445 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 57, 0.2, -423?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-20)*-15)\/((-9)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 376390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-445)\/(-5) + -2*2 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173778 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5.2, -2\/7, 13010?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7022886 by 13078.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-127)\/3810)\/(1\/34)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000958455 rounded to seven dps?\nAnswer: -0.0000958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919311717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, i: 6, k: 2, r: 2}. What is prob of sequence pp?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 173*s + 321. Let a be p(4). Suppose a*c = 1009*c + 5260. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 + 1) - (0 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2013 = -40111*q + 40050*q. Let c be 1\/5 - (-38)\/10. Put 3, c, q in increasing order.\nAnswer: q, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + 4*f, -f + 5 = 2*h - 6. Solve 4*u = -h + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109515.35 times -44\nAnswer: -4818675.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 - 116. Let -32 - 4*u**2 + j*u - 78*u + 0*u**2 = 0. What is u?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 7*q**2 + 3 + 1 - 2. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.01 (c) 0.2 (d) -82 (e) -0.2 (f) 5 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (805\/20)\/((-2)\/(-16))?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwjwuquuqujvujjqu. Give prob of picking 1 q, 1 w, and 1 j.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))**(2\/71)\/(j*j\/(j*j\/((j**4*j)\/j))*j\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -49. What is the third biggest value in y, -4, 3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -4*r**3 + 15*r. Let s(z) = -z**2. What is i(s(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 6) + (-2 + 2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3900)*15)\/(1\/(-12)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 852 and 612?\nAnswer: 43452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6310511.\nAnswer: 61, 103451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2. Let x(a) = a - 43. Let l(r) = -6*r - 185. Let p(d) = -l(d) + 4*x(d). Calculate p(c(s)).\nAnswer: 60*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g**4 + 49*g**4 + 31*g**4)*(-3 + 1 + 4)*(0 + 1 - 4).\nAnswer: -288*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14265)\/(-18)*(105\/(-25) - -5). Let i be (-1)\/1 + 72*1. Suppose -i = t - p. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -62 + -1 + (-392 - -393)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/377 + -544\/7917. What is the second biggest value in x, -0.5, -1, -0.3, 0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42906177188676 + -0.3?\nAnswer: 42906177188675.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 20. Let f be t(-8). Factor 0 + 2\/5*z**5 + 0*z - z**f + 4\/5*z**3 - 1\/5*z**2.\nAnswer: z**2*(z - 1)**2*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 12*k - 2*k - 1 - 15*k + 2*k.\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpckskpcck. Give prob of sequence pkk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**3 - 6*t**2 + 9*t - 31. Let x be w(-9). Let i = -470831\/32 + x. What is the common denominator of i and (-2)\/(-3) + 299\/(-30)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104065841.8 rounded to the nearest 10000?\nAnswer: 104070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 419638\/128915 + -192\/59. Are 0 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + 188. Is -1\/3 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 2, g: 2, p: 2, f: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376616492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*c + 2*d + 11, -4*c - d = 22 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 42.4 (c) 5\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, -4, 3 in ascending order.\nAnswer: -5, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/9))\/z**6)\/(z**1)**(-3))**26 assuming z is positive.\nAnswer: z**(-494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16406700 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1305 or -1288?\nAnswer: -1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6445 and 23\/45.\nAnswer: 58005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1424 - -4?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/100 + k**4\/30 + k**3\/30 - k**2\/5 + k. Factor q(t).\nAnswer: -(t - 2)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*(-7)\/35*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36683.51g in nanograms?\nAnswer: 36683510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 517, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/90 - 5*n**4\/36 + 2*n**2\/3 - 12*n + 39. Suppose g(x) = 0. Calculate x.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -3*i**5\/20 - 38*i**4 - 1015*i**3\/2 + 230*i - 14. Factor m(q).\nAnswer: -3*q*(q + 7)*(q + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-77)\/(-14) + (-2)\/8*18. What is the second biggest value in -1\/6, 3\/2, m, -57, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:08 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + y**2)*(-243 - 40*y**2 + 243).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 14484460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 2. Let j be v(3). Let f = j - 6. Suppose 0*w = w + f*g, 0 = -5*g. Solve -1 = 3*r - d, 4*r - 3 = -w*r - 3*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 170\/1785 + 2685\/(-189). Suppose -5*b = 5*i + 1 + 44, 0 = 4*i + 3*b + 41. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, 0.4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(105\/14) - 3*188\/36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*4\/(-18)*3. Let c = -61 - 47. Let o be 3\/(-9) - (-153)\/c. Which is greater: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**8\/840 - r**4\/6 - r**3\/2 + 2*r**2. Let x(t) be the first derivative of s(t). Differentiate x(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7361*v**2 + 12248*v + 5. Let f(r) = -11040*r**2 + 18372*r + 8. Let c(x) = -5*f(x) + 8*n(x). What is the second derivative of c(u) wrt u?\nAnswer: -7376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.8121 and 0.26880678369.\nAnswer: 4.08090678369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 4\/(-8))\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from pdwdtvd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -233152, -233147, -233142, -233137, -233132, -233127?\n\"Answer: 5*p - 233157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -14. Let y = -16.4 - g. Let x = y - -1.26. What is x rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*w = -4*w + 80, v = 5*w + 45. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*q + 5*b, 3*q + 0*b = 2*b + 20. Suppose 3*f = -r + 182, 4*f + 3*r - 250 = -2*r. Let x = 102 - f. Calculate the greatest common divisor of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 22. Determine u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*u**3*w**4 + u**3*w**2 - 6*u**3*w - u*w**4 wrt w?\nAnswer: -2520*u**3*w - 24*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.637 to the nearest integer.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32334 is divided by 2473?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let d = -8 - -11. Let k be ((-4)\/(-6))\/((-1)\/d). Let z(m) = m**2 + m. Let u(s) = k*o(s) - 6*z(s). Find the second derivative of u(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 46*p + 35. Let n(w) = -w**2 + 47*w - 34. Let d(x) = -5*f(x) - 4*n(x). Is d(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3475 by -6.\nAnswer: 3475\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 28 = -5*n. Is n equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -889, -3594, -8113, -14452, -22617, -32614?\n\"Answer: -m**3 - 901*m**2 + 5*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:43 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b90 (base 14) to base 3.\nAnswer: -112102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 - 6*m + 2. Give c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2. Suppose 4*m - 2432 = 3*j + 2544, -1235 = -m + 3*j. Let c be m\/261 + (-4)\/(-18). Let w(b) = c*b - b - 6*b - b. Give w(g(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 4. What is the units digit of c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9 + -1.9. Let q = 11 - m. Sort 1\/6, 2, q in increasing order.\nAnswer: 1\/6, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260 + 1823\/7. Which is the smallest value? (a) 0.3 (b) -2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 177, 187, 197?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -6*f - 86. Suppose 2*h = -4, -2*h = -4*j - 3*h + f. Calculate the highest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 3*x - 9, 4*x - 12 = r. Calculate the remainder when 1 + ((-32)\/(-20))\/((-6)\/(-15)) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2914812*w*y**3 + 147*w*y + 3*y**3 + 68672*y**2 wrt y.\nAnswer: -17488872*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 32*g**2 - 132*g - 1. Determine o(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 17. Let j be f(-5). Suppose 7*q - 4*q - 4*x = 314, 2*q - j*x = 210. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27166\/63705 or 1?\nAnswer: 27166\/63705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 39. Let n be b(14). Solve 0 = -0*d - n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4451069922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.0000006 - 8. What is a rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12253642 (base 8) in base 12?\nAnswer: aa7b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwbchhbwchh. What is prob of sequence bw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 224?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.1 + 12.1169. Let p = 0.0345 + x. Round p to three decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -3)\/(2\/11). Let o = -19 - l. Suppose -2*y + 5 = q, -q - y - 7 = -3*y. Sort o, q, -3 in ascending order.\nAnswer: -3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 10*o - 12*o. What is the units digit of o\/9*45\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**3\/3 + 2*m**2 - 3*m + 14. Give n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -177*i**2 - 6*i + 7*i**3 + 288*i**2 - 117*i**2. Let o(j) = -195*j**3 + 169*j**2 + 169*j. Determine -6*o(g) - 169*x(g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (11 - (11 + -4))) + 18 - 10 - 28.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 1. Let y(j) = -j**2 - 5*j - 1. Let r(o) = -2*b(o) - y(o). Let w be r(3). Solve 4*p - 5*m = -5, -p = p - w*m + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4715 + 9109. Let c be -5 - f*(-3)\/2634. Is 0 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 6*w**2 + 7*w + 12. Let a be n(-5). Solve 5*v + a*h = -h - 16, -v - 11 = -2*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 5*v + 15. Suppose -5*b + r = 34, -2*r = -0*r - 8. Let n be b\/15 - (126\/10 + 0). Is j(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 10, 47, 0, -0.5 in decreasing order.\nAnswer: 47, 10, 5, 0, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8710345 is divided by 1553?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 31*n**2 - 23775*n - 1098224. Calculate o(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34384, 135184, 302408, 536056?\n\"Answer: 33212*f**2 + 1164*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a - 1281. Give y(-71).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/168 and 137\/131124.\nAnswer: 262248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 19 - 1 = 0, 12 = -p + 4*s. Let c(i) be the first derivative of -3*i**2\/2 + 2*i - 6904. Determine c(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57655129 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v + 0*v)*(3052 - 635*v - 3050 - 18*v + v - 3*v + 3*v + (1 + 1 + 0)*(-v - 2 + 2)).\nAnswer: 1308*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmqmmpmggwpwz. Give prob of picking 1 m and 2 g.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1054?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 6*f - 4*f**2 + 15 - 25 + 0*f**2. Calculate u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 112 - 9*w**2 - 27*w**2)*(2*w + 0*w - 4*w).\nAnswer: 72*w**3 + 44*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(12\/(-72)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/5027047 and 12\/64615.\nAnswer: 25135235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65.5+-1791794326\nAnswer: -1791794260.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5567 is divided by 2547.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 7. Let m be s(5). Let z(v) = 11*v**2 - 6*v + 4. Let d(u) = 5*u**2 - 3*u + 2. Let j(k) = m*z(k) - 7*d(k). What is j(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139*k - 5614*k - 3398*k = -507550 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5312*w - 1516068 = -14455*w - 468417 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-20)*(-6)\/(-55).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 944224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2390308, 4780615, 7170922, 9561229?\n\"Answer: 2390307*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 - 1767\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2584 and 8?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/((-8)\/(-90)))\/(9\/(-6)). What is the highest common divisor of q and 1280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 + h**3\/6 + 23*h**2\/2 - h. Is y(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(308) + -2*sqrt(308) - sqrt(308))\/sqrt(7))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab642 + 8?\nAnswer: 1ab64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*1*sqrt(70)*2*3)\/((sqrt(1210) - (1*sqrt(1210)*-2 + sqrt(1210))) + sqrt(120)\/(sqrt(108) - (sqrt(108) - sqrt(108)*-1))))**2.\nAnswer: 20412\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 14) to base 2\nAnswer: -101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1225, 2450, 3675, 4900?\nAnswer: 6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0, -3, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 29, 52, 79, 104?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7970242132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28684319 is divided by 15331.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*d - 2*d, 4*h - 2*d - 14 = 0. Solve 0*c = h*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:30 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1311391*q**3 + 6646427 wrt q.\nAnswer: 3934173*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13174 = -4*d, 5*d = 3*f - 6*f + 13169. Suppose -f = -220*x + 214*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(2\/18*60\/200).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b + 39. Let j be f(12). Let l = 308 - j. Let u = l + -251. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4535690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*p + 6, -28*x - p - 10 = -29*x. What is the remainder when 1423\/x - ((-1)\/(-6))\/1 is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25593523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*b = -45, -5*b = -41*g + 40*g + 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (128*o - 75*o - 82*o)*(1 + 0 - 4) as k + i*o and give i.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/28 and -73\/11354?\nAnswer: 22708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by 25463.\nAnswer: 279\/25463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 19. Let u be m(-15). Solve 6 = -0*c + 3*c, 5*c = u*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 4, 1, 5, -739 in decreasing order.\nAnswer: 5, 4, 1, -4, -11, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 49. Let a(s) = -13*s + 164. What is 2*a(c) - 7*z(c)?\nAnswer: 2*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3367\/441)\/13 + (-2)\/14.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 92 and 107 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -34, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = 3*o, -o + 8 + 1 = -4*q. Suppose 3*x - 5 = 5*n, -o = n - x - 2. Solve 0 = -3*b - 4*z + 1, 0 = -4*b + n*z + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 2359*f**3 + 2352*f**3 - 7072*f**3 + 3*f**2 + 2350*f**3 - 1. What is q(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h + 24*h**2 + h**2 - h wrt h.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8399.05, 13, -0.15.\nAnswer: -8399.05, -0.15, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 35 - 5 = 0. Let p(s) = 3*s**2 + 6*s. Let v = 5610 + -5615. Let z(l) = -2*l**2 - l**2 + 2*l**2 + 4*l**2 + 5*l. Give g*z(x) + v*p(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9033855557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkk when three letters picked without replacement from {t: 2, k: 5, l: 1, j: 1, c: 4, o: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = h - 24, 4*h - 5*c - 133 + 2 = 0. Let q = h + -26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.2. Let k = -3.6 - j. Let x = 0 + -0.5. What is the smallest value in x, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i**(-2)*(i\/(((i**7\/i)\/i)\/i))\/((i**(-1\/7)\/i)\/i))\/((i\/(((i\/(i\/(i\/i**6)))\/i)\/i))\/i**(-1\/3))**(-42) assuming i is positive.\nAnswer: i**(7304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9627386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oodoodoooooooodadado. What is prob of sequence do?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.015 - -1.975. Round j to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-14 + 10 + 4730). What is k rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5370119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 1. Let o(n) = 6*n**2 + 6*n - 3. What is 5*l(j) + o(j)?\nAnswer: j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*r - 5*r. Suppose r*t + g = -t + 10, 4 = -2*t - 5*g. Let i = -0.1 + 0.4. What is the closest to -1 in t, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, -4, 5, 39 in descending order.\nAnswer: 39, 36, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2, -4*s + y - 2*y = -41. Is 66\/s + (-2)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose u = m + 2 - 7. Suppose -4*z + 11 = -2*o - 17, -5*z = m*o - 50. Solve z*x - 12 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120182713\/2355 + -51033. Is o equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/(-648)*64\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from iyiyiyyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.5 - 15. Let t = 38 + -100. Let c = t - -58. Is p >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50521 and -1.\nAnswer: -50521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -621.949 - 0.051. Let z = 625 + u. What is the closest to 1\/4 in -2\/9, -2\/11, z, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(11\/2)\/z**(-1\/2))\/((z\/(z\/((z*z**(-8\/5))\/z)))\/z**23))**(-41) assuming z is positive.\nAnswer: z**(-6273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-46 - -35) - (1 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**2 - 444*f - 2210. Calculate d(-44).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 9*z + 2. Let w be k(-6). Find the second derivative of -19*o**4 + w*o**3 - 92*o**3 - 6*o wrt o.\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 15*v**2 + 41*v - 47. What is the remainder when 48 is divided by f(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 64\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 2346?\nAnswer: 21114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n - 10. Let l be u(-3). Suppose 0*y + t - 35 = -2*y, 2*y - l*t - 65 = 0. Solve k - 6*k - y = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**5 - 69725*c + 2 + 3 + 4*c**3 - 5 + 69271*c wrt c.\nAnswer: 100*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 461840 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 15.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -515, -1125, -1957, -2999, -4239, -5665, -7265?\nAnswer: -9027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/44 - 40\/22\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 = 522*h - 1141 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 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 46995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23605550 (base 9) to base 5.\nAnswer: -10422044100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-21)*v*v*v**(-3)*v*v**(3\/4)*(v**(-1\/12)\/v**(-5))**29 assuming v is positive.\nAnswer: v**(493\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1158100 to the nearest ten thousand.\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 460420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3824 and 23\/356?\nAnswer: 340336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 17. Let j be w + 30 + (-1)\/(3 - 4). What is the second derivative of -j*t - 2*t**3 + 11*t + 2*t**3 + 28*t**4 wrt t?\nAnswer: 336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + 2\/(-6). Let o = -16.9 + 15.293. Let s = 0.393 - o. What is the closest to k in s, -1\/2, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9726564*j**5 - 21504589*j?\nAnswer: -194531280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 218.\nAnswer: 3\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -12562*w - 6054874. Calculate n(-482).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-4 - 2 + 4)*(2*k + 2 - 2)*(55 - 23 - 19).\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 384094.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 6\/17, -2\/5?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10728.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 922335 and 264041.\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187649 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*5 + (-6 - 1105\/(-64)) and ((-18)\/80)\/(24\/(-140)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 + 75128*x\/7 + 225402\/7 = 0.\nAnswer: -3, 37567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2942232 and 47\/684240?\nAnswer: 29422320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 101*a**3 + 2*a**2 - 16. Let g(p) = -p**3 + 1. Let b(i) = -f(i) - 5*g(i). What is the third derivative of b(x) wrt x?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:34 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2025 and -91\/23085?\nAnswer: 115425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 - -267. Let u = n + -39.047. Which is the third smallest value? (a) u (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 + 6*b + 4. Give j(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 722 divided by 19\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13777177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2016 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/70 - (-115)\/(-25)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -683*f**4\/8 + 697*f**3\/2 + 2130*f**2. What is the first derivative of k(d) wrt d?\nAnswer: -2049","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 13*a - 660. Let q = -63 - a. Calculate the common denominator of (-1)\/q*2 - 762\/264 and -35\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 3 (c) -0.05 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f + 4*u - 8*u, -3*f - 5*u + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 75*n + 972. Let d be u(-7). Put 0, 2, -2, d in increasing order.\nAnswer: -2, 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -1\/4, -0.1, -5.\nAnswer: -5, -1\/4, -0.1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + (2*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 1 + 4) - sqrt(1088))))**2)*1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (129\/(-72) - -2)\/(-7 - 810\/(-120))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6821641 rounded to 2 dps?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.2, 79, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 - 97*d + 8. Let w(v) = -8350*v. Give r(w(s)).\nAnswer: 16700*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203\/36 or -7?\nAnswer: -203\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = l - 4*l - 4*z, -4*l + 60 = 4*z. Calculate the smallest common multiple of 15 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/45)\/((-32)\/11080). Suppose -4*y + 2*q = 3*q - 182, 4*y - 194 = 5*q. Let s = y - u. Which is the closest to 1\/4? (a) 0 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102314*b + 4*w = -102313*b + 74, -12*w + 230 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 9.058587263301?\nAnswer: 6.058587263301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 6009.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 117 = -423. Suppose 132 = 4*h - s. Let z = 26 - 14. Calculate the highest common divisor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3350930 + 3993*d**3 + 3350930.\nAnswer: 3993*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1352 + -0.1352. Which is smaller: -401\/5 or b?\nAnswer: -401\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -33583, -2138 in increasing order.\nAnswer: -33583, -2138, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 + 24)\/(-1))\/(96\/832). Let y be (-52)\/p - (1 - (-33)\/(-28)). Factor 0*u + 0 + 3\/7*u**5 + y*u**4 - 3\/7*u**2 - 3\/7*u**3.\nAnswer: 3*u**2*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1064*z - 7443. Let s be d(7). Suppose 2*v + 12 = -2*v + 5*j, -2*j = -5*v - 15. Put v, s, 4 in increasing order.\nAnswer: v, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v - 6628 + 1687 = 121*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*t - 5*d - 17, 0 = 2*d + 2. Let l be 0*(-1 + t\/(-3)). Suppose -v - v + 4 = l. Let u(n) = -2*n**2 + 4*n - 2. Determine u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 25, 37, 51?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57483731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019260572 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2*(-8)\/3. Suppose w = 2*t + 2*t. What is the lowest common multiple of (5 - 2)*(-8)\/(-6) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10152 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 8 = 0, -6*d + 9*d = 5*h - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*k = -83*k - 1500. Solve -a - 3*f + 15 = -0*a, 2*f = a + k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 1098*z**2 - 6561*z - 9828.\nAnswer: -(z + 3)**2*(z + 1092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14413195*c**2 + 14349756 wrt c.\nAnswer: 28826390*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6304 - 94607\/15. What is the common denominator of 64\/33 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/35*(-110)\/(-33) - (-114)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (-36)\/(-15). Suppose -2*f + 5*n + 13 = -0*f, 9 = -3*n. Sort -4, w, f in descending order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2773*j + 5469*j - 2687*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5, 6*w - w - 5 = -4*x. Let p be (27\/3 + -6)*-2. Let z be (-11 - 147\/7)*p\/8. Sort z, 5, x in descending order.\nAnswer: z, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -257 + 270. Let y be (78\/4)\/(3\/4). Calculate the highest common factor of d and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*u - 16*u + 108 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x = -156. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327966 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49762390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 142.3 and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 168 = j. Suppose 5*d - 12 = 8, 2*m - 5*d = 36. Calculate the highest common divisor of m and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -31*k**5\/10 - 25*k**3\/6 - 11*k + 5. What is the second derivative of w(r) wrt r?\nAnswer: -372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 11*l**4\/24 - 2*l**2. Let k(v) = -2*v. What is p(k(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 123*z**2 - 65*z + 62. Give k(-61).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - 161\/280. Let t = 6 - 5. Which is the closest to -3? (a) 2\/13 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -10056310?\nAnswer: 10056306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 20. Let r = v - -4. Suppose r = 4*o + o, f = 3*o + 25. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*l + c**4 + 2*c**3*l**2 - 432*c**3 - 1015*c**2*l + 2*l**2 wrt c?\nAnswer: 24*c*l + 24*c + 12*l**2 - 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -5*c, 2*c - 1 = y - 0*c. Let v(p) = 5*p**2 + p - 1. Let t be v(y). Let n = 98.3 + -98. What is the biggest value in -4, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.6, 2\/15, -2, 1, 42 in descending order.\nAnswer: 42, 1.2, 1, 0.6, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204360 + 123?\nAnswer: -204234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0132668 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3676346, -3676343, -3676338, -3676331, -3676322, -3676311, -3676298?\n\"Answer: h**2 - 3676347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3449 is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3 - 1 = -4*y - 2, -y = -3*t + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 780 - 324. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461 + 2307\/5. Let w = -4 - -1. Which is the third biggest value? (a) -3\/4 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95625 and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y + 77. Give t(15).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153609 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = -2*f + 2*g, -3*f + 3*g - 9 = 0. Is f smaller than -4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*v + 145, -4*k = v - 2*v - 185. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-18 + 1 - -3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3625022*u**3 + 3815606*u wrt u?\nAnswer: -21750132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/66)\/(-2*5\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.791481kg?\nAnswer: 3791.481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from eccbuzp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -4. What is the greatest common divisor of g and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 854 + -600. Let s = n - 254.06. Sort 2\/5, s, 2.\nAnswer: s, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2112, -4225, -6338, -8451, -10564?\nAnswer: -12677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 19*l. Let f(x) be the first derivative of 3*x**3 + 181. Calculate f(p(c)).\nAnswer: 3249*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67210 and 151138?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -4)*(-3 + 5). What is the remainder when 162 is divided by -9*(p\/3 + -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -9 - 15246\/540*(-40)\/(-112)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2094*t - 318452 = -1509*t - 1796*t - 91694 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3112?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 996.308\nAnswer: 298.8924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 50 = -10. Calculate the common denominator of 63\/55 and -2 + -2 + 0 - 92\/s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let m be (-904)\/678*(-27)\/45. Which is the closest to -5\/11? (a) g (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n + 32 = 0. Let i = n + 26. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 208*s\/7 + 606\/7.\nAnswer: 2*(s - 101)*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.89 + 20.9. Sort -0.4, z, 0.1 in ascending order.\nAnswer: -0.4, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuutuuuttu. Give prob of picking 3 u and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1388 - -1617. What is the remainder when h is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160717, -321445, -482173, -642901, -803629?\nAnswer: -964357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-40 - -15 - -69).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15 - (6 - 6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.1 (b) -1\/6 (c) 3 (d) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**2 - 39*x + 869. Let d(b) = -11*b**2 + 28*b - 870. Let l(p) = -6*d(p) - 4*k(p). What is the first derivative of l(r) wrt r?\nAnswer: 60*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 480*y**2 - 1422*y = 0?\nAnswer: 0, 3, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 28*k = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 11*m + 10. Let c be g(-6). Let j(s) = -s - 1. Determine j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 4. Suppose 174 - 26 = v*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26807804*a**4 + a - 545934?\nAnswer: 321693648*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 125 = -62 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -63, -33, 45, 177, 369, 627, 957?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = y, 0 = -z - 2*y - 0 + 8. Suppose z = -100*u + 103*u - 1272. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -1352, -2000, -2630, -3236, -3812, -4352?\nAnswer: -4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.10836629 rounded to 3 decimal places?\nAnswer: 3.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6 - 4 - 1 + 4 + (88 - 42 + 11)*(-1 - 3 + 3))*(3*y + y + 2 - 7*y) in the form z + o*y and give o.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6336.234 hours to microseconds.\nAnswer: 22810442400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*i - 2*u - 25, 5 = 3*i - u. Suppose i = -98*y + 99*y - 10871. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-2*f - 3*f + 3*f) + 4*f - 2*f - 3*f)*(-2 + 0 + 3)*(6 - 1 - 1) + (-2 + 1 + 3)*(-5*f + f + f) + 4 - 4 - 2*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d - 9. Let h be l(-6). Suppose -12 = h*k - 3*m, 3*k + m + m = -27. Is 14 a factor of -1*(2*k + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13*l. Let u(t) be the first derivative of -1\/2*t**2 + 0*t - 5. Calculate u(q(k)).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h = -x - 11, 3*x = 2*h + 52. Differentiate -16 - 16 + 8 + 41*d**2 - x wrt d.\nAnswer: 82*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193417269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10280410 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 37. Suppose 5*n + 9*u - 6*u - 235 = 0, -3*n = -u - 155. What is the remainder when n is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -63*x + 2245. Let n be w(29). Suppose 5*v = 4*f + 236, f = 5*v - 246 + 22. Calculate the greatest common factor of v and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 7\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6)*6 + (sqrt(13) - ((sqrt(65)*3)\/sqrt(5))**2).\nAnswer: -117 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90812 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: Expand (-1 - 2 + 4)*(3 + 0*i - 2*i + 8*i).\nAnswer: 6*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01045882858 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/((-6)\/(-60)*-2). Put -1, k, -5 in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 19 = -14. Let h = 21 - m. What is the tens digit of 134\/h - 6\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4725602*y**3 + 4*y**2 - 7*y - 20. Let p be a(-2). Let v = p - 22404826. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 + 116. Let c be (3 + 0 + 2)\/m. Solve -30 = c*i - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2 + s - 3. Let k be u(2). Solve 5*p + 25 = 5*z, -3*z + 5*p + 20 = k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(5)*-4 + 4)**2.\nAnswer: -96*sqrt(5) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3588 is divided by 595?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 894376473?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 5}. Give prob of picking 1 l and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u - 90. Let h(d) = -2*d - 18. Let g(j) = -28*h(j) + 6*z(j). Let m be g(-9). Solve m = -5*s + 4*y + 1, 5*s - y = 4*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 15925168.\nAnswer: -1\/7962584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k**2 + 9\/4*k**3 - 37\/4*k + 6 + 1\/4*k**4.\nAnswer: (k - 1)**2*(k + 3)*(k + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -200, -317, -454, -617, -812?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*k - 2*h, 0 = 3*k - 2*k + 4*h + 4. Suppose 5*q + k*d - 74 = 10, 2*q - 30 = 2*d. Is (q + -21)*257\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 5. Let i(n) = n**3 + 17*n**2 + n + 18. Let c be i(-17). Let z be a(c). Suppose 0*b = -2*b + z. Solve -b*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8077.145t in milligrams?\nAnswer: 8077145000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxww when four letters picked without replacement from xxwwxxxwxxxwxxxxxx.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35903 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -522?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 601257, 1202512, 1803767, 2405022, 3006277?\n\"Answer: 601255*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m, -4*a - 12 + 44 = -4*m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 275824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrdnfd. Give prob of sequence rdld.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 872 + -172. Suppose -4*u = u - z. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 0.008075\nAnswer: 24.008075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -20, 5\/3, -191.95, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -300\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/11 - 16379945*d\/11 = 0 for d.\nAnswer: -16379945, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1990 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794 - 1794 - 280*g**2.\nAnswer: -280*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4775\/7 or -683?\nAnswer: -4775\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/20)\/(2\/(-8)) and 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5899571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m + 2*h + h, -2*m + 4*h = -4. Let k(g) = g**2 + 10*g - 23. What is the remainder when k(-14) is divided by (m - (-33)\/9)*3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzpmzzphzhzzd. What is prob of sequence zhzh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)\/((-94)\/(-987))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (3 - 17) + 4 - 7) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19033560 divided by -1638\nAnswer: -11620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 180*a - 10 = 181*a, -4*h + 14 = -a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2950*p**4 - 72*p**3 - 22*p**2 - p + 42971 wrt p?\nAnswer: -70800*p - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226183159 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*w**3 - 55*w**3 - 136*w**3)*(0*w**2 + 4*w**2 - 13*w**2).\nAnswer: 2358*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12441800 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394288922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25 + 5*p**2 - 4*p - 25 - p**3. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 - 52*v + 19. Let n be g(7). Let y = 121 - 609\/5. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 40 = g. Find the third derivative of 16*w**6 - g*w**2 + 3*w - 10*w**6 - 3*w wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76187831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(640)*2 - sqrt(640))\/(sqrt(1152) - (sqrt(1152) - (sqrt(1152) + -3*sqrt(1152) - sqrt(1152))*-5)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -43*m - 2252. Calculate b(-56).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/7 - (-5)\/35)\/(9\/9). Let y(f) be the third derivative of q*f + 1\/150*f**5 + 1\/30*f**4 + 9*f**2 + 0 - 1\/5*f**3. Factor y(r).\nAnswer: 2*(r - 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p - 12*p**4 - p**3 + 30*p**4 - 16*p**4 in the form t*p**4 + n*p + k*p**2 + s + c*p**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t - 2*t + (-1 + 1 + 2*t)*(0 - 4 + 6) + 0*t + t + 4*t + 1 + 2*t - 1 + 0*t - 3*t + 4*t + (5*t - 2*t - 2*t)*(-1 + 6 - 3) + 2*t + 3*t - 3*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97736 and 2?\nAnswer: 195472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrgggrbgdg. Give prob of sequence bg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(5\/(-3))*-5. Let q = -2025 + 2027. Solve -m**q - 1475 + t*m + 1475 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**6\/360 + p**5\/120 + p**4\/6 - p**3 + 2. Let t(j) be the third derivative of x(j). Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 9.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2)*-2 + sqrt(72))**2 - (sqrt(98) + (2*sqrt(98)*2 - sqrt(98)))**2)*5*3.\nAnswer: -22905 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-16 - -5)) + -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13979079 and -5731115?\nAnswer: 8247964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - 0) - 8 - (896 + -926)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8093479 and 0.07?\nAnswer: 8093479.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 2 in descending order.\nAnswer: 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 - 7*l + 3. Determine q(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 + 624*v**2\/5 + 6540*v + 62928\/5.\nAnswer: 3*(v + 2)*(v + 92)*(v + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by (2*(-5)\/(-30))\/(8\/10872)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 266, 1216, 3670, 8336, 15922, 27136?\n\"Answer: 118*t**3 + 44*t**2 - 8*t + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7432127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53433531 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**2\/8 + 723*t\/8 - 288.\nAnswer: 3*(t - 3)*(5*t + 256)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 5*x + 16265 - 16270, x = 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-170)\/3)\/(4\/30). What are the prime factors of (d\/20)\/((-3)\/12)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -28*g**3 - g**2 - 2*g - 1. What is the tens digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.998 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 744 - 1cd36?\nAnswer: -1c5e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1848 and 372680?\nAnswer: 1118040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*k**2 + 7 + 2 - 3.\nAnswer: -4*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 14*v + 6. Let u(w) = -w**2 + w + 3. Let b(j) be the first derivative of -j**3\/3 + j - 10. Determine v*b(x) + u(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from xeeexxfxxeecxeexx?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Suppose -3*z = w + 4, 2*z + 3*z + 16 = 3*w. Let g be m(w). Let x = -1 + g. Solve f + 15 = -5*i, -4*i = -0*f - x*f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n)\/n**0)\/(n**6*n\/n**2) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -60. Let p(c) = -7*c + 82. Let j be p(h). Solve 0 = -j*r - 13 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.34+2430777\nAnswer: 2430756.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321011231 + -220?\nAnswer: 321011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1631746932, 1631746931, 1631746930, 1631746929, 1631746928, 1631746927?\n\"Answer: -d + 1631746933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*sqrt(684)*-2 + sqrt(684))*-3)*2 + -3.\nAnswer: -396*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1104 by -4.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*i - 18 = -107*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s - 157. Let h(p) = -p + 1. Determine -5*h(d) - v(d).\nAnswer: -d + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m**2 + 2*m - 9. Let t(n) = 8*n**2 + n - 5. Let r(b) = 4*o(b) - 7*t(b). Let x be r(1). Suppose 9*v = x*v + 95. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -110677 + 0?\nAnswer: -110677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*b + 11747*b + 184*b.\nAnswer: 13050*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17\/7, -4, 1\/4.\nAnswer: -4, -3, 1\/4, 17\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-3 + 26\/10)\/(177\/(-2085)). Which is bigger: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1698\/207 + 525\/(-225). Are 5 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m - 14. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/(o\/o**(5\/4)*o*o))**(-17))**(-13\/7) assuming o is positive.\nAnswer: o**(-1105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1124\/17 + -66. Let i = 0.26 - 0.26. Which is the smallest value? (a) i (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*(-10)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3*g + 4. Let a be y(-3). Suppose a*d + 17 = 25. Suppose k - 5 - 3 = d*z, -24 = -3*k - 5*z. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:51 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -11 (c) -3 (d) -4\/1339\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 5, 30, 4, -36, -32 in decreasing order.\nAnswer: 30, 5, 4, 2, 0.2, -32, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from uxxxxpxyxxbtxb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyycyfyynrrraanyy. What is prob of sequence yara?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 22. What is the units digit of (-1 - 4789\/n) + (-51)\/357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17362560?\nAnswer: 2, 3, 5, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 791878181 to the power of 1\/2, to the nearest integer?\nAnswer: 28140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2676046, -10704176, -24084392, -42816694, -66901082, -96337556, -131126116?\nAnswer: -171266762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 461891 and 0.05.\nAnswer: 461891.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -734, -702, -610, -428, -126, 326, 958, 1800?\n\"Answer: 5*w**3 - 3*w - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + -5*sqrt(2736) - (-1 + sqrt(2736) + 3))**2.\nAnswer: 864*sqrt(19) + 98537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 360 = -w + 350, -3*t + 2*w + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + ((-252)\/(-6))\/6. Calculate the highest common factor of a and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = 0, -7 = -2*i + 2*l - 5. Suppose -i*r + 44 = 3*s, 5*r + 4 = 3*s - 0. What is the greatest common divisor of 392 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 5\/4, 0, 3, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758*f**2 - 13148*f + 13148*f.\nAnswer: 758*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 58 = q, -1 - 3 = -t - 5*q. Let n = -6 - t. Solve -n*v + v = -u + 19, 2*v = 5*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**3 - 28*f**3 + 13*f**3 + 5*f**3 - 3*f**3 + 0*f**3 - 2*f**3 + 3*f**3 + 0*f**3 + (1 + 3 - 2)*(-3 + 2*f**3 + 3) - 2 + 2 + f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 2810*n**2\/3 + 1377398*n - 170420784.\nAnswer: (n - 2742)**2*(n - 136)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*i - 3812, -6982 = -2*z + 4*i + 630. Calculate the remainder when z is divided by 1902.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gciacvkkv. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*f - f + f)*(1 - 1 + 3) - f - f + 0*f)*(-1872 + 7*f + 1872) to b*f**2 + z*f + v and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.2, 0.1, 4, -2\/11, -37 in increasing order.\nAnswer: -37, -0.2, -2\/11, 0.1, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0271 - 0.0271. Put -4, -15\/4, j in decreasing order.\nAnswer: j, -15\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94.2 + 95.2. Put -36\/5, 0.01, -0.5, c in ascending order.\nAnswer: -36\/5, -0.5, 0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37378892?\nAnswer: 2, 9344723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3897\/2 + -1941. Find the common denominator of 129\/1400 and v.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 10. Let j be m(-5). Suppose -13 = -2*p - j. Suppose -6*v + p*v = -36. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/5*(-4)\/(-8). What is the fourth biggest value in -18\/7, -1\/6, z, -4\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 3, k: 6, r: 2, l: 1}. Give prob of sequence dkl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*u + 169*u = 9*u + 2320 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 5*y**2)*(-7*y**2 + 32*y**2 + 6*y**2) - 2*y**4 - 2*y**4 + 2*y**4.\nAnswer: -157*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -94 in -1\/6, -0.5, -3\/7, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.3 - -11. Suppose 11*q + 12 = 34. Let g = 90.5 - 91. Which is the second biggest value? (a) 1 (b) g (c) y (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 133*f**2 + 148*f**2 + 35 - 91.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3105 is divided by 385.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51257903?\nAnswer: 179, 233, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214572 = -16*b + 73500. Is (-12 + 15)\/(2 - (-17625)\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-36)*(-3)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:40 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*x**3 - 12872*x**2 - 9172*x + 3672 = 0. Calculate x.\nAnswer: -459, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1024?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 14, c: 1}. What is prob of picking 2 v?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(1216))**2 + sqrt(1216) + sqrt(1216) + -5)*-5.\nAnswer: -6075 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 0.5 (c) -2 (d) 544\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Solve 0 = 4*m + v - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 328880\/39900 - 4\/(-42). Are g and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k**2 - 3*k - 11. Let h(x) = -11*x**2 - 2*x - 10. What is 3*h(r) - 2*v(r)?\nAnswer: -7*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 7*z**4 - 11*z**3\/6 - 37*z**2. Is 13 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -37)\/((-3)\/(-2)). Let p be (-2 + 0)\/(m\/(-11)). Let v be (2\/(-4))\/((-1)\/8). Put -1, v, p in increasing order.\nAnswer: -1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 99?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 76. Let p(b) be the second derivative of -3\/4*b**4 + 0 + 5*b + 0*b**2 - 1\/3*b**z. Find the second derivative of p(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-2 + 3)\/(-1). Suppose w = -0*y + 3*y. Let d = 4 + -2. Solve d = -2*t - y*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79\/300 + 1\/75. What is the closest to -0.1 in 1\/4, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 3, m: 8, e: 6}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -3.1.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(-2*i + i + 0*i) + (-4*i + 4*i - 3*i)*(-i - 5*i + 4*i) + 0*i**2 - 5*i**2 + 6*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 196801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/27)\/(4\/(-14 - -2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22997 divided by -3214?\nAnswer: -22997\/3214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x**2 - x + 1. What is w(-1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(68)*-2 - sqrt(68))**2*2 + (sqrt(68) + ((sqrt(68) - (1*sqrt(68) - sqrt(68))) + sqrt(68))**2 + sqrt(68))*-5 + -4.\nAnswer: -20*sqrt(17) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 988 + -385. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29991, -59757, -89523, -119289, -149055, -178821?\n\"Answer: -29766*r - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + 48*p**2 - 8*p + 122. Calculate w(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -21. Suppose 2*w = -r - 0 + n, -4*w = -5*r + 88. Let j = r + 9. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose -2*g + 6 + 0 = y. Solve 3*s + 27 = 3*f, -4*f + 11 = -5*f - g*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*4\/((-16)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e8a + -241?\nAnswer: c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {n: 4, q: 1, m: 4, j: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0906 + -0.107. Round j to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/12*(-1 - 7). Suppose -4*h + h - g = -21, 2*g = z. Suppose 31 = 5*j - 59. What is the lowest common multiple of j and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 273763, 547485, 821181, 1094851, 1368495, 1642113?\n\"Answer: -13*y**2 + 273761*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 38*t**2 - 40*t + 11. Let r be j(-39). Let p(h) = 2*h**2 - 3*h. Let d be p(4). Calculate the greatest common divisor of r and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.429061 rounded to three decimal places?\nAnswer: -6.429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 35*l**2 + 63*l - 56. Determine d(-33).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292362.\nAnswer: 2, 646181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = -k, -2*c + 10 = 2*c + 2*k. Let a be (1 - -1 - 2) + c. Sort 0.2, -0.3, a in ascending order.\nAnswer: -0.3, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8370, -16731, -25090, -33447, -41802, -50155, -58506?\nAnswer: -66855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5309, -10621, -15933, -21245, -26557?\n\"Answer: -5312*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3446.704 and 0.3?\nAnswer: 3446.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, -5, 1, -11\/9, 2\/13, -1\/4, 0.04?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t. Suppose t = -5*n + 10 + 5. Solve 3*j - 2*v - v = n, -4*v + 14 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7269 divide 273619698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/238 + 1\/((-85)\/(-775)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/18*2*(-1 - -2). Suppose 4*v - 5*p = 49, m*v = 9*v - 4*p + 4. Solve 5*l - 10 = 0, v*r + l + 6 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-9))\/((-214)\/963)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -157 (d) -14\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*t - 16, -x = -2*t - 463 + 459 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 5*y. Let f(l) = l**3 - 2*l. What is -14*f(m) - 4*n(m)?\nAnswer: 2*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -99, -312, -639, -1080?\n\"Answer: -57*o**2 + 72*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 21*g**2 + 8*g + 102. Let a(h) = -6*h**2 - 2*h - 25. Give -9*a(i) - 2*z(i).\nAnswer: 12*i**2 + 2*i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 181, 283, 399, 535, 697, 891, 1123?\n\"Answer: m**3 - 2*m**2 + 93*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3533 - -4528. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2)*x)\/((x*x\/(x*x**(-31)))\/x))\/(((x*x\/((x\/(x**(-19)*x*x))\/x))\/x)\/x)**(-16\/7))**(8\/11) assuming x is positive.\nAnswer: x**(-3688\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 194.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3 = 4*k, 2*k = 3*m - 5*m + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23070808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -30. Let m = -86923 - -86976.959. Let i = m - y. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004345176 rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45559099 divided by 4?\nAnswer: -45559099\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - ((-7)\/(-5) - 26600\/875)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 5969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 15*o - 45*o = -42*o - 36, -o = -2*z - 20 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let v be (2 + b)\/(1\/2). Suppose 4*w + g - v*g = 11, w = -4*g + 7. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-1 + 1 + 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/42 and 1 + (-3)\/(189\/(-14))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/7 in 217, -2\/3, 414, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2898 = 741. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77354925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 571902 = -2*h - 2*h - 571888, 0 = 5*n + 2*h - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 414, 2188.\nAnswer: 4, 414, 2188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*j - 780*j + 86*j + (0*j - 2*j + 0*j)*(2 + 0 - 4)*(-1 + 1 - 2) to o*j + u and give o.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 135\/(-18)*(-16)\/6. Suppose -3*y + 12 = 2*c, c - 5*c - t = -5*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millisecond in microseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.4. Sort 3, c, -0.4 in decreasing order.\nAnswer: 3, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/(-78))\/(1\/450) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6523*g - 176572. What is d(27)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 9*l + 3. Determine r(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 764 and 1006?\nAnswer: 384292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 3, y: 1}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.004 - -0.028. What is l rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, h: 1, c: 4, d: 2, z: 1}. Give prob of sequence hzdb.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225051*w - 225069*w = -960048. Is 236 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/8 + 57*m\/4 + 1107\/8 = 0.\nAnswer: -9, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 6*j - 45, 5*b + 40 + 0 = 5*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:29 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 566825525 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**18*o*o**(-12))**(-32) assuming o is positive.\nAnswer: o**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/4 + (-2)\/(-8). Let c(r) = -f*r**2 + 4*r**2 + r**2 + 5*r**2. Let y(v) = 10*v - 19 + 19. Give y(c(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3612 and 4200.\nAnswer: 180600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130721 divided by -12.\nAnswer: 2130721\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5676702 divided by 4\nAnswer: -2838351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.0719 - 0.0179. Let y = 0.054 - m. Let o be (-120)\/(-175) - 4\/14. What is the nearest to 1 in -0.5, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19644278881\/682780 - -2482\/34139. Let j = -28777 - d. What is the common denominator of j and ((-6)\/(-8))\/((-9)\/286)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 4 = 0. Let u(a) = a + 1. Let l be u(j). Suppose 0 = -l*h - h + 219. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*13\/(-208)*-16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (798\/(-4))\/19*29\/((-31320)\/(-48))\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 9*k. Give m(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 11. Let x be y(0). Suppose -4*g + x = -3*h - 12, 20 = 4*g. Let n = h + 4. Solve 3*w - 5 + 11 = 4*o, -4*w = -n*o + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 13*v + 3*i, -164*v = -345*v + 177*v + 956*i - 952*i - 36 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Let q be 40\/(-50)*(-350)\/4. Let m be (13 - 6)\/28 + q\/8. Which is the nearest to 0? (a) t (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p + 0*p**4 + 29\/7*p**7 + 0*p**6 + 0*p**5 + 47*p**3 + 26 + 0*p**2. What is the third derivative of d(j) wrt j?\nAnswer: 3480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x - 8020 = 54*x + 8*x - 1589 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 1701.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503\/6 or 2?\nAnswer: -503\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 5 + 16 - -8 - 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k + 5*h - 399, -4*k - 3*h = -409. Let p = 111 - k. Solve 6 = -2*z - 2*m, z + 2*z + p*m + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-33))\/((-59)\/(-531))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**31\/c))\/(c\/(c**41*c*c)) assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -632\/7 + 5455\/56. Suppose -2*g + 129 = -31. What is the common denominator of p and ((-1)\/1)\/(28\/g)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102667?\nAnswer: 29, 47, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let s(g) be the second derivative of -73*g**4\/12 - 159*g. Calculate s(y(i)).\nAnswer: -73*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -5*j - 12*a + 40, 4*j - 28 = -5*a. Calculate the remainder when (-2)\/(-8) - (-556)\/16 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 25*o + 36. Let n be b(-25). Suppose -n*c + 35*c = -45. Let g be (-8)\/60 - (-186)\/c. Solve -3*u - g = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 528666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/r)\/(r*r**(-2))*((((r**10\/r)\/r*r)\/r)\/r)\/r**(1\/3) assuming r is positive.\nAnswer: r**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 11 + 13. Let r(x) = -x**2 + x**3 + 1 + 6*x**2 - 5*x**t. Let y be 8\/24 + (-22)\/(-6). Let i(l) = -5*l**3 - 2*l**2 - 4. Determine y*r(v) + i(v).\nAnswer: -v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 51*m**2 - 1. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) -1\/2 (b) 0.2 (c) -6 (d) -9.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29841688 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 8. Suppose v - 7 = -a*r, -2*r - 3*r - 5*v = 10. Solve r*k + 5*c = 20, 6*c - 15 = -2*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 66, 68, 88, 138, 230, 376?\n\"Answer: 2*h**3 - 3*h**2 - 3*h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -7*w + 177. Suppose -5*q - 120 = -5*b + w, 0 = 4*b + 2*q - 272. What is the remainder when b is divided by ((-42)\/(-15))\/(1\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7480941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 divided by -111?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*-2 - sqrt(1575) - sqrt(1575))\/((sqrt(81)*2)\/sqrt(9)))**2 + -5*-1*(-5*sqrt(343)*-1 - sqrt(343))**2.\nAnswer: 28140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18254171 divided by -5\nAnswer: -18254171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 11, -2 in ascending order.\nAnswer: -2, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*m + 545, 4*m - 144 = -u - 40. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -3\/4*z**3 - 5\/12*z**4 - 3\/40*z**5 - 1\/2*z**2 + 0 - z. Factor t(x).\nAnswer: -(x + 1)*(x + 2)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21300 (base 9) to base 13.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8779912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*h*u**2 + c*h - 9*c*u**2 - h*u**2 - 9*h*u - 29*u**2 wrt c?\nAnswer: 2*h*u**2 + h - 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 456?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1 + (13\/(-1365)*-21 - 572\/110).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -1\/3*b**2 + 3*b + 0 + 7\/18*b**4 - 2\/9*b**3 - 2\/15*b**5. What is p in r(p) = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29830.1 - -29838. Which is bigger: -0.038 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 30. Does 10 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.221 - 0.029. Let y = p + 0.25. Let s = 7 + y. What is the smallest value in -1, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/781 or -1?\nAnswer: -39\/781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 13. Calculate the remainder when n is divided by (-6)\/2*(-25 - -19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7743062109 and -5?\nAnswer: 7743062104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 58213?\nAnswer: -23285.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 - 3\/2*z**2 + 3\/2*z**3 - 5*z. Let w(f) = 14*f - 6. Let q(d) = 1. Let l(g) = q(g) + w(g). Give 5*l(o) - 8*t(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -y - 2 + 1, 0 = 2*y - 4*k + 20. Let z(o) = -2*o**3 - 5*o**2 + 8*o + 13. Let m be z(-3). Put y, 5, m, 1 in descending order.\nAnswer: 5, 1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) - 20\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:38 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -613\/5. Let h = 0.06 + -0.16. Which is the third biggest value? (a) h (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-56))\/(5\/10*60\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y + 4. Let w be -2*(-2)\/40 - 75\/750. What is m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5 + 396*b**4 + 1170*b**3 + 1164*b**2 + 387*b = 0.\nAnswer: -129, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*m**2 + 1419820*m + 5678704 = 0. What is m?\nAnswer: -354919\/9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 16*x**2 + 42*x - 115. Give h(16).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 650261 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 202. Let s(t) = 7*t + 4. What is the remainder when (x - -10)*(-3)\/2 is divided by s(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 12*y - 12*y + 12*y - 3*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5))\/(2\/10). Suppose -171 = -3*j - 3*w, -u*j + 0*w + 171 = w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3381 - (5 + -2)). Let x = -27039\/8 - a. Calculate the common denominator of 9\/(-4)*(-1 + 3) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let i(o) be the first derivative of -5*o**3\/6 - 15*o**2\/2 - 121*o - 170. Let y(n) be the first derivative of i(n). Give y(p(g)).\nAnswer: 10*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 2. Let o = 13 - 16. Let w be u(o). Suppose -w = 4*v - 88. Solve 2*p + 4*y = -2*p - 36, 5*y + v = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -3, -50, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 3\/2, -2, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 + 2*y - 6. Let f(s) = 7*s**2 - 2*s + 7. Let w(d) = d**3 - 3*d**2 + 11*d - 14. Let m be w(2). What is m*f(a) + 5*n(a)?\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1680.983 to the nearest 10.\nAnswer: -1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -59.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/3 + 65*a. Let i(c) = 9*c**2. Give k(i(d)).\nAnswer: 324*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-65)\/140 - -1 - (-4)\/(-14). Let x = 0.8 - 0.7. Put -4, s, x in descending order.\nAnswer: s, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 + 80. Let a be y(0). Let s = -120 + a. Find the common denominator of (-58)\/s - (-3 + 5) and -15\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 + 3*o**4\/8 + 3*o**3\/2 - 9*o**2. Let p be m(-9). Put 0, p, 5 in descending order.\nAnswer: p, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1964992 + 1964981.999964. Let q = -24 - -34. Let o = q + k. What is o rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4*2*-2. Let g be 10890\/27*(i + 3 + 176). Round g to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -7*g**4\/2 - g**2 - 4. Find the second derivative of v(d) wrt d.\nAnswer: -84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*m - 22 = 542*m. Let x(o) = -136*o**3 - 5*o**2 - o + 2. What are the prime factors of x(m)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 395*b**3 + 20*b**2 - 395*b - 20.\nAnswer: 5*(b - 1)*(b + 1)*(79*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217.056 rounded to 0 dps?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4308 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.4 + 19.4. What is the fourth biggest value in -16, 3, i, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -46, -69, -90, -109, -126, -141?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 42. Let z = 18 - j. What is the derivative of -z*p**2 - 4 + 2*p**2 + 5*p**2 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 + 470. Suppose l = 8*n + 7*n. Calculate the least common multiple of 254 and n.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 37*n + 80*n + 84*n to the form j + w*n and give w.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324*v - 62*v**2 - 324*v)*(-774*v + 39*v**3 + 774*v).\nAnswer: -2418*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 0.36\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1204)\/688*(-1)\/(-1))\/1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55899445, -55899443, -55899441, -55899439?\n\"Answer: 2*s - 55899447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 - 30356*h + 2003012\/3 = 0. Calculate h.\nAnswer: 22, 91046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12)*(-16)\/1. Suppose 3*m - 5*n - 186 = 0, 4*m = 5*n + y + 235. Let a = -397\/7 + m. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 - -4.4. Let f = -0.6 - -0.3. Which is the smallest value? (a) f (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39862, 79726, 119590?\n\"Answer: 39864*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 0.19 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, -1, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 3, i: 1, r: 4}. What is prob of picking 1 b and 1 i?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {z: 4, p: 1, o: 3, n: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16845285*w - 911107?\nAnswer: -16845285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -252. Let l = 261 - x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmmg when four letters picked without replacement from mwwgmwwmwmwwwmwwwmmw.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2484078 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152379623 or 152379620?\nAnswer: 152379620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125792 by -32.\nAnswer: -3931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1530278 by -8.\nAnswer: 765139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 + sqrt(11))*6 + (sqrt(110)\/sqrt(10) - sqrt(11)) + -3 - (-2*sqrt(66)*4 - sqrt(66))\/(sqrt(18)\/sqrt(3)*5))**2.\nAnswer: 414*sqrt(11)\/5 + 52596\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*p - 2*p = -43, -5*k - p + 57 = 0. Let v(c) = c + 2. Let y be v(k). Is y at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 6*v - 6*v + (15*v**3 - 13*v**3 + 5*v**3)*(-4*v**2 - 5*v**2 + 5*v**2) + 4*v**5 + 8*v**4 - 8*v**4.\nAnswer: -25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 241) + 190 - (-3)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -365, -782, -1365, -2120?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**4\/5 + 14052*o**3\/5 - 30978*o**2 + 211356*o\/5 + 76059 = 0.\nAnswer: -4695, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwniiiiiiiiin. Give prob of sequence niwn.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66740 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 11*y**2 + 11*y + 16. Let p be 9\/(378\/(-12)) - 172\/(-14). What is k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1705218, -3410477, -5115738, -6821001, -8526266?\nAnswer: -10231533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1333 - -25.8667. Sort 5, j, 0.3 in decreasing order.\nAnswer: j, 5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let r(p) = -88*p - 7. What is r(h(b))?\nAnswer: 88*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1442*g**4*t**3 - 5*g**4 - g**2 + 243*g*t**3 + 2*g*t + 11*g wrt g.\nAnswer: -34608*g*t**3 - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -96*u + 105. Let p be f(1). Let v(t) = -2*t**2 + 10*t + 7. Give v(p).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*b**3 - 10*b**3 - 22*b**3.\nAnswer: -182*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/7)\/((r\/(r\/(r\/r**(-2\/67)))*r)\/r))\/(r\/(r\/(r**23*r))*r**(1\/8)) assuming r is positive.\nAnswer: r**(-89557\/3752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 15*z + 28. Let c be l(-13). Suppose 4 = -h + 5*a - 2, 5*h = -c*a + 51. Factor -33\/4*w**2 - 45\/2*w**3 + h*w + 75\/4*w**4 + 3.\nAnswer: 3*(w - 1)**2*(5*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-755)\/(-302)*(-60)\/25\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 + -541345?\nAnswer: -541215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1117 + 1677. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4834?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - -8. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-444)\/(-18)*(-6)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 8*t**2 - 3*t + 2. Let r be d(9). Let h = -9 + 7. Let x(n) = 3*n**2 + 4*n + 3. Let i be x(h). Calculate the highest common factor of r and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/7))\/h)**38\/((h*h**(3\/8)*h)\/h*(h**(-5)*h)\/h) assuming h is positive.\nAnswer: h**(1115\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -373. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*12.07\nAnswer: -24.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/204 and 43\/680.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 1406317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 2*i + 9. Let x(v) = v + v**3 + 4 - v**2 + v**2. Let u = 106 - 115. Calculate u*x(o) + 4*y(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(33) - (sqrt(198)*-4 + sqrt(198))\/sqrt(6))\/(sqrt(3) + sqrt(432)).\nAnswer: 8*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2917275 + 38*t**3 - 2917275.\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2))**2 + (sqrt(2) - (sqrt(2) + 1 + sqrt(2))**2*3).\nAnswer: -11*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ofofofff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 6. Let p(u) = 1. Give -4*p(r) + q(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.31 in -1339\/14, -3\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4\/4 + o**3\/4 + 13*o**2 - 40*o = 0?\nAnswer: -8, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*u - 111 = 0, -4*f - 3*u + 16 = -48. Let z(i) = -i**3 + i**2 + i + 4. Calculate the remainder when z(-3) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 5 - 34*n.\nAnswer: -34*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*s - 68. Suppose -5*w + 45 = 5*g, -g - 41 = -4*w - 0*w. What is the remainder when s is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8083 - 16928 + 8847 + 13*a.\nAnswer: 13*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 11*m**6\/60 + 11*m**4\/12 + 59*m**3\/3 + 62. Let z(x) be the third derivative of c(x). Differentiate z(p) wrt p.\nAnswer: 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*x + 1185*x = 2061*x - 13161 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.72 + -0.28. Let v = -11.8 - -12. Let o = 0.3 - v. What is the biggest value in o, -1\/4, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3)**(-6)\/(b*b\/b**(-2)*b)**(-1\/17) assuming b is positive.\nAnswer: b**(209\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*j**3*r + 40*b*j**3*s + 2*b*j**2 + 2*b*j - j**3*r**2 + 7*j**2*s - 8*r**2 - 5*r*s wrt j?\nAnswer: 36*b*r + 240*b*s - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c4 - 3132?\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7745\/889 - 36\/127. Let d = -161272935223\/1510 + 106803276. Let b = d - -9\/151. Calculate the common denominator of t and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 77.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192*z**3 + 250*z**3 + 0*z**3 + (-4*z - z**2 + 4*z)*(0*z + 2*z + 0*z) + (z**2 - z**2 - z**2)*(-5*z + 5*z - 2*z).\nAnswer: 442*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.8 and 0.3.\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v - 20 = -s - 61*v, 0 = 5*s + 5*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 48. Suppose 9*i = 13*i + 72. Let j be y(i). Let q be 4 + (-3 - j) + 4\/(-4). Solve 2*b + q = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*k + 4 - 0, -5*o = -5*k + 10. Suppose -k*s + 0*s + 14 = 0. Suppose -2*q = -109 - s. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81909.35 millimeters in centimeters?\nAnswer: 8190.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 4. Let z(x) = -x + 5. Let b(q) = 5*r(q) + 4*z(q). Let m be 13 + (4\/(-4))\/(-1). Let n(k) = -14 + m - 7*k. Determine b(n(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -292466460 divided by 273845\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26533.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**1*s*s)*s*(s*(s**(-20)*s)\/s*s)\/s)\/(s\/(s\/s**(-19))*s\/(s*s**8\/s)) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {y: 1, e: 1, j: 3, x: 2, h: 6, k: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 + -14)*36*1. Let c be 0 + 26 - s\/(-12). Calculate the highest common factor of 253 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5299674 days?\nAnswer: 45789183360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/15925068 and 77\/36.\nAnswer: 15925068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2087835 and 5010804.\nAnswer: 25054020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 11*i - 6. Let y be u(13). Let n = 36 + y. Suppose 0 = 2*t + 3*w - 5, 3*t + 5*w = -t + 13. What is the remainder when t is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*4)\/(sqrt(35)\/(sqrt(7)*1)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4066)\/321)\/(10\/80 + (-19)\/24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let f = -197 + 194. Let b(z) = 6*z. Determine f*b(r) - 7*d(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 6*v**2 + 3*v**2 + (5*v - 4*v - 4*v)*(-v + 2*v - 2*v) + v**2 - 5 + 5.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 10*n - 105882. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23548 + 23388 = -80*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*c = 2*i + 9, i + 4*c = 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/460 and -21\/629050.\nAnswer: 1258100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 15. What is the lowest common multiple of 22 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20514 - 6127 - 19928 = -1433*o + 9318 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/7)\/(22\/77). Suppose -3*n + 4 = -0*x - 2*x, -2*x - 4*n + 10 = 0. Let j be -1 - (2 - (-1 + x)). Which is the nearest to -1? (a) j (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213034 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525 + 531. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 + 33*v**2 - 85*v - 380. Give b(-7).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from daassansdwnansaawwnd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -477144 (b) 0.1 (c) 0.3 (d) -0.4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/(-143))\/(518\/(-6734)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-5*x + 0*x + 3*x)*(-x - 2*x**2 + x + (32*x**2 - 99*x**2 - 123*x**2)*(0 + 2 - 3)) as z + g*x**2 + n*x**3 + m*x and give n.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 0, -4*b - 31*a + 29*a + 20 = 0. Solve -4*p + 2*o = 6*o, -3*o = b*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7447, -14889, -22327, -29761, -37191, -44617, -52039?\n\"Answer: 2*u**2 - 7448*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.43.\nAnswer: 4.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, v: 2, k: 5, q: 5}. Give prob of sequence vvq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/7)\/(b*b**(-22)*b))\/(b**(2\/5)\/(b*b\/(b\/(b\/b**(-7)))*b*b*b)) assuming b is positive.\nAnswer: b**(1136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*u = 9, -3*u = 2*f - 9 + 2. Suppose -f*a - 2*p + 1482 = 0, -p + 0*p = -a + 737. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4541 - -1?\nAnswer: -4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 506*m**2 + 54785*m - 2847. Give o(-349).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*f**2 - 5*f - 85.\nAnswer: 5*(f + 1)*(16*f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 5, h: 6, u: 1, z: 3, l: 1}. Give prob of picking 2 h.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376804.891 rounded to the nearest ten thousand?\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {t: 1, c: 2, y: 2, w: 2, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2463842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940674494?\nAnswer: 2, 491, 957917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 133232022013?\nAnswer: -133232022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7 = 2*w, q + 1 = 3*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 + 292*g**3 + 7656*g**2 + 83248*g + 298144 = 0.\nAnswer: -22, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1959993 divided by -7\nAnswer: 279999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.14 (b) -2\/11 (c) -1.62 (d) 0.5 (e) 230 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 628, 658, 712, 796, 916, 1078, 1288?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14090*y - 14092*y + 28183*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -10\/9, 1\/13, -0.2, 9 in decreasing order.\nAnswer: 9, 1\/13, -0.2, -0.5, -10\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -24 (b) -3 (c) -2 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.3 + -8. Let z = 1.6 - 0.6. Let q be (-16)\/42 - 4\/(-6). What is the closest to -1\/3 in s, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 96, 71, 36?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42597791 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969523.\nAnswer: 31, 63533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3130920, -3131005, -3131090?\nAnswer: -3131175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1011 divided by -337.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/60)\/((-27)\/(-180)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -128 - (38 - (220 + -162))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/8 - 11547*b\/4 + 14563395\/8.\nAnswer: 3*(b - 7005)*(b - 693)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 24*x**2 - 49*x - 208. What is the tens digit of a(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/19)*n*n**(2\/13))**(-1\/7)\/(n**1*n**6*n*n\/(n*n**3)*n\/(n\/(n\/n**(-3\/2)))) assuming n is positive.\nAnswer: n**(-3779\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -35. What is the lowest common multiple of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.166, -0.1, -0.4, -1\/2 in increasing order.\nAnswer: -1\/2, -0.4, -0.166, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/36*3 - (253\/44 + -8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 2*z**3 + 28*z + z**4 + z**4 - 29*z + 0*z**2 + 62 to b*z + a*z**2 + x + f*z**3 + d*z**4 and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1585 and 25994?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1112)\/(-3336)*60\/((-24)\/4)*18\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1139923 to the nearest 10000.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11752445 divided by -286645\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*(((n\/(n\/(n**(-2\/9)*n)*n)*n)\/n)\/n)\/n*n*n\/((n\/n**(3\/5))\/n*n)*n**(2\/9))\/((n**0)**(13\/6))**45 assuming n is positive.\nAnswer: n**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11825450 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2 (b) 0.1 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42413.97s in minutes?\nAnswer: 706.8995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5, 2309?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -45, -77, -125, -195?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrmr when four letters picked without replacement from {r: 14, m: 5}?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 14. Suppose -z = 2*s - 3*s. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 less than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {n: 1, s: 5, h: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/140 + 87*v**4\/56 + 85*v**3\/7 - 1060*v**2. Factor d(h).\nAnswer: 3*(h + 2)*(h + 85)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235886 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - y**3 + y**2 + (101 - 101 + 22*y**2)*(-y + 3*y - 3*y).\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*a = 214*a - 102 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 37. Let l(m) = -16*m + 114. Let s(f) = -6*l(f) - 19*u(f). Determine s(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/12, -0.08, 0.1, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 43. Let c(h) = 88*h. Calculate c(p(y)).\nAnswer: -440*y - 3784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q + 3*q + (2*q - 1 + 1)*(-1 + 2 - 3) - 135*q + 314*q - 54 + 53.\nAnswer: 176*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -55 - (-4 + 5). Suppose -3*k + f - 6 = 4*a, 0 = 5*k + 2*a - 80. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 10*n**2 + n - 21. Let z be b(5). Sort z, 7, -3 in decreasing order.\nAnswer: 7, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196*r - 334*r = 4603*r + 699438 for r.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1034\/68244)\/(((-2)\/3)\/(-2)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -2, 1\/2, -1712?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1829 - -0.757246.\nAnswer: 0.940146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-2 - 5457\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 93*f = 21762. Calculate the remainder when f is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from {d: 10, r: 3, o: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 5}. Give prob of sequence odo.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r - 5*r + 51*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-35))\/i*i)\/((i\/((i\/i**(1\/2))\/i))\/i))**(-3))**(13\/7) assuming i is positive.\nAnswer: i**(2691\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 481, 2, 4, -2, 15 in increasing order.\nAnswer: -2, 2, 4, 15, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 3. Let c be o(-7). Suppose -85 = -5*m - r - c*r, m + 3*r = 25. Solve -4*b + 22 = 5*h, -m = b - 2*b - 5*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -67\/2. What is the nearest to -0.7 in -0.1, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -22, -127, -338, -691, -1222, -1967, -2962?\nAnswer: -4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 5.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (6 - 12)) + -9 + 2 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + (-110)\/8. Suppose -456 = -23*j - j. Let i = k + j. Which is the second smallest value? (a) -0.6 (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.039235 millilitres to litres.\nAnswer: 0.008039235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eik when three letters picked without replacement from ikijiewkziewkikeeeik?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1555 and 0.025?\nAnswer: 0.0038875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1980) - (sqrt(1980) + 1*sqrt(1980))*6))\/(5*(1*-3*sqrt(30))\/sqrt(6)))**2.\nAnswer: 191664\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-78)\/(-36)*3)\/((-9)\/(-66))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111100100101100100 (base 2) in base 4?\nAnswer: 100330211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/8 + 2*a**2 + 4369. Let q(i) = i**2 + 15*i**2 + 26*i**2. Determine q(u(y)).\nAnswer: 378*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 333846791 to the power of 1\/2, to the nearest integer?\nAnswer: 18271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d - 5*t = -2088, 2*d = 5*t + 2108. Let z = d - 709. Calculate the greatest common factor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1) + 11\/(-4). Put 5, 2, w in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 10*w**2 - 8*w - 4 + w**3 + 2*w - 2*w. Let f be y(9). Let p = -33 + 48. Calculate the highest common factor of p and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 229\/4. Let b(u) = -u**3 - 3*u**2 + 4*u + 4. Let p be b(-4). Suppose -2*m = -p*m + 2. Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 1089.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a**(-4\/7)*a*a))\/a))\/a*a*a**(3\/4)*(a*a**0*a*a*a)**46 assuming a is positive.\nAnswer: a**(5241\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 4 = 39*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x + 122 = 2*d, -4*d + 76 = x. Let l = x - 55. Suppose -5*y = 3*a - l, 3*y + 4 - 22 = 4*a. Solve 0 = y*p + 1 + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-6) + 3 + 23\/2. Suppose -16 = 16*a - p*a. Let d(s) = -2*s + 10. Let l be d(a). Solve -5*z + m = -m + l, 2*z - 4*m = -20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**4 + 4182*b**3 + 832164*b**2 - 1676886*b + 840537 = 0.\nAnswer: -1153, -243, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 3, 29, -1 in descending order.\nAnswer: 29, 3, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6597.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - 1 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2021120?\nAnswer: -2021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/30 - 36*c**2 - 6. Let s be 36\/(-84) - (-146)\/14. Let g(b) = 62*b**2 - 25*b**2 + 10 - s. Calculate j(g(q)).\nAnswer: 2738*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2312 - 827 - 1757 = 68*q for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360531 is divided by 89908.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 6*d - 49. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-32))\/((20130\/(-88))\/61)*-5?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = 5820. Calculate the common denominator of 1\/(-2)*a\/(-60) and (10\/(-8)*14)\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/3 + l**3 + 5*l**2\/3 - l - 4\/3 = 0. What is l?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28163 = -79*a - 105*a + 43965. Which is smaller: a or 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7980 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.51 + 2.7. Let c = 2546.019951 - 2547.21. Let i = c + b. Round i to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 15*u - 50. Let w be v(6). Suppose -12*f = -w*f - 3512. Suppose 3*a - h - f = 0, -3*a + 2*h + 162 = -272. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {s: 2, v: 1, q: 1, z: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 56*b**2 + 146*b + 70. Calculate r(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -11 + 16 + -15 + -32.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 33. Suppose -a = -4*r + r - u, 2*u = 5*r - 25. What is the units digit of r\/10 - (-252)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.393 and -0.062.\nAnswer: 0.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54974608 to the power of 1\/2, to the nearest integer?\nAnswer: 7414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 = -16. Let o(n) = n - 6. Let h be o(g). Let a = 42 + -42.1. Put -4, a, -3\/2, h in descending order.\nAnswer: a, h, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/33)\/(-102 + 103). What is the nearest to 1 in -16, x, -2\/7, -1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 58. Let i = 27 - w. Find the second derivative of 6*z**5 + i*z**5 - z**5 - 4*z - 4*z wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1038 and 888.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171743 and 171743.\nAnswer: 171743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:06 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12335.991101 + 12336. What is x rounded to four decimal places?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q - 10. Give y(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**3 - l**2 + 2*l - 1. Let n be t(1). Let o = -0.329 - 1.671. What is the nearest to n in 0.1, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -65, 4, -110 in increasing order.\nAnswer: -110, -65, -8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w**2 + 606*w + 91. What is g(34)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30 and (5\/(-55))\/(6\/(-98) - 0).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*i = 502, h - 7*i - 165 = -6*i. Let z be 11 + -18 + 2 + 188\/(-2). Let y = h + z. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257071259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*m - 20650 - 19312. What are the prime factors of m?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -369229540, -738459081, -1107688624, -1476918169, -1846147716, -2215377265, -2584606816?\n\"Answer: -u**2 - 369229538*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**7\/105 + 2*u**6\/15 + u**5\/3 + u**4\/3 + 9*u**2 + 6*u. Factor t(v).\nAnswer: 4*v*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042 is divided by 811?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let m(h) = -h**2 - 4*h - 1. Let y be m(-4). Let u be (-2 - y) + 10\/14. Put z, -0.1, u in ascending order.\nAnswer: z, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 1777, 2690, 3619?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + a**2 - 6*a**2 - 1 - 3 + 2*a**3 as c*a + g + r*a**2 + j*a**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2. Let u(s) = 2*s + 8. Suppose -5 = 3*a - 29. Let r(x) = x + 3. Let z(y) = a*r(y) - 3*u(y). Give c(z(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.6 and 8028.3496.\nAnswer: 8035.9496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 4, -3*x + 10 = -f. What is the least common multiple of x and 4\/((-9)\/(-6) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603*b**5 + 95652*b**4 + 3725948*b**3 - 5422688*b**2 - 4935680*b + 204800 = 0. What is b?\nAnswer: -80, -2\/3, 8\/201, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11915394.\nAnswer: 2, 3, 19, 127, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*z = 83, -3*z + 128 = 2*p + z. What is the third derivative of p*q**2 + 2*q**3 - 65*q**2 - 2*q**4 - 2*q**3 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 0.036525\nAnswer: -1.0227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vbiiuimiiabbb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691413 is divided by 275?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060177837 to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 3 + (11 - (-10 + 4))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 37*i + 15*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(16)*-2*6)\/(sqrt(40)\/(sqrt(5)*1) - (sqrt(8) - (sqrt(8) - sqrt(128)*3))) + 4.\nAnswer: 4 + 36*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 15*i + 30. Let f be o(-13). Put f, 1, -1, -3 in decreasing order.\nAnswer: f, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 1. Let s(z) = -4*z**3 + 5. Let c(k) = -3*k**3 + 4. Let n(l) = 9*l + 374. Let b be n(-41). Calculate b*c(x) + i*s(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-75757)\/873 - -87) + (-1 - 7\/(-9)). Factor -1\/3*s**3 + 7\/3*s + 2*s**2 + y.\nAnswer: -s*(s - 7)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1)\/2*4. Let i be (4\/14)\/(g\/28). Suppose 0 = -a + 3, 2*y + 2*a = -i*y + 6. Does 2\/11 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-5 - (-5 + 4 + -3)). Let k(r) = 1 + 1 + z*r**2 + 52*r - 30*r. Calculate the remainder when k(5) is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01471 - 0.51471. Let o = 2 - 3. What is the fourth biggest value in o, 1, a, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 262*k - 1. Let q be g(1). Suppose 3*y = -0*y - q. What is the units digit of ((-57)\/(-6))\/(3 + y\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2540598\/2665 - 597\/533. Let k = d + -952. Factor 11\/5*f**2 + 0*f**3 - k*f**4 + 8\/5 + 18\/5*f.\nAnswer: -(f - 4)*(f + 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 5, 4, 48, -3 in descending order.\nAnswer: 48, 14, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/4 + 55*m**3\/2 - 821*m - 2. Solve u(l) = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/22)\/((-4314)\/(-24) + -10)\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 106. Suppose k - 2*c - 4 = 0, 0 = -2*k + 6*k - 4*c - 12. Solve -k*h + 2*w = -14, -f*h + w - 5 = 6*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1560 and -121\/504.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4\/9, -1, 5, -73.12, 3, -3 in descending order.\nAnswer: 5, 3, 4\/9, -1, -3, -29, -73.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*b = 12 - 0, 0 = p + 3*b - 1. What is the units digit of p\/(-16) - 133\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21501 = -1715*v - 9369 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 + 20 = 0. Let f = u + -3. Suppose -v = -f - 48. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 2*f = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 333092773 a multiple of 1612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 104 = 88. Let p = -16 + k. Find a such that p*a**4 + 2\/3*a**3 + 8\/3*a + 0 - 10\/3*a**5 - 8*a**2 = 0.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:07 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.93 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 6. Let i(n) = n**2 - 4*n + 3. Give i(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 9*s**2 - 166*s - 1057. Determine y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-576)*-4 + (-1)\/(-3). Which is the closest to 1\/10? (a) 1\/6 (b) r (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 1000*v + 2991*v - 996*v - 995*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k + 1. Let z(q) = -8*q + 1. Let s(r) = -3*f(r) + 5*z(r). Give s(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*s + 43775 + 47626 + 54826 = 23494 for s.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12.32\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -81, -181, -321, -501?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -908340 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 27*f + 151. What are the prime factors of i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l + 0*l**2 - 1\/3*l**3 - 3\/2*l**4 + 10. What is q(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*a + 16, p = 3*p - 4*a - 20. Solve -p = 9*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.924 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 263.69826 months?\nAnswer: 0.21974855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4532*s**2 - 5*s. Let o(z) = -6792*z**2 - 8*z. Calculate 8*b(a) - 5*o(a).\nAnswer: -2296*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q**5 + 1993430*q**4 + 39740820860*q**3 + 127143437710*q**2 - 135098698245*q - 31787553780 = 0. Calculate q.\nAnswer: -39867, -4, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103997? (a) 223\/10 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 258\/(-516)*1470\/(-15)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 329910 and 406317156.\nAnswer: 2031585780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 65 = 4*w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339 + 86. Let t = -363823703.999897 + 363823451. Let w = f - t. What is w rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(35)*6)\/((sqrt(30)*2)\/sqrt(6)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -157783.\nAnswer: -178\/157783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmyimmmmiiyii. Give prob of picking 2 i and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 323*a**5 + 4*a**2 + 388*a - 4. Let u(n) = 322*n**5 + 3*n**2 + 388*n - 3. Let x(q) = -3*s(q) + 4*u(q). Find the second derivative of x(o) wrt o.\nAnswer: 6380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11379.\nAnswer: 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 3\/5, -5, -183, 2.\nAnswer: -183, -150, -5, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 675788.9g?\nAnswer: 0.6757889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057742608 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:29 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -83, 29797, -0.044?\nAnswer: 29797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6066, -6079, -6104, -6147, -6214?\nAnswer: -6311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k + 1056. Let t be 4\/(-6)*k\/4. Is t\/6*(-30)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.006 + -0.356. Let t = a - -10.35. Let q = 20 + -20.1. Is t less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + sqrt(17) + 1 + 1)*-1.\nAnswer: 10 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 16. Let d = i - -6.6. Let k = 69 - 68.7. Which is the second smallest value? (a) k (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2 - 115*k\/4 + 21 = 0.\nAnswer: 3\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -5, -2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10794829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1658 - 1657.9. What is the closest to n in 2, 3, -10, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -l + 35, -192 = 32*r - 4868*l + 4863*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 less than 0.385?\nAnswer: -12.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:28 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*r - 2*r. Let b(s) = r + 1 - 4 - 1 - 2*s. Determine b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 420446820.7.\nAnswer: 420446820.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 5*o**3 - 14*o**3 - o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -0.10082095962.\nAnswer: -4.10082095962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2, -0.05, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 - 4. Let p(g) = 2198 - g**2 + 2164 + 2182 - 6495 - g**2. Calculate n(p(i)).\nAnswer: -32*i**4 + 1568*i**2 - 19212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let a(q) = q**3 - 19*q**2 + 18*q - 5. Let s be a(18). Let n(g) = 3*g - 5. Give s*r(d) - n(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*s. Let i = 5 - s. Suppose -7 = -4*l + i. Solve -1 - 7 = l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.79 (b) -2\/11 (c) -5 (d) 196280 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let o = 0.3 + -21.8. Let m = o + 21. Which is the closest to -2? (a) 0.3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -2*n. Suppose 0 = 3*r - 2*r - n. Let b(y) = -y**5 + y**3. Let v(x) = -2*x**4 + 2*x**2. Let j(d) = r*v(d) - 2*b(d). Let j(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f + 5*x + 12, 5*f - 3*x - 26 = 0. Calculate the remainder when 52 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14) - 7176\/483.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88\/575 - -3233\/71300. Calculate the common denominator of x and -4\/5.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13211 - 111102302?\nAnswer: -111122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -116*x + 115*x - 0 - 10, -x - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -6561?\nAnswer: 6557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -31. What is the greatest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*49*24\/36. Suppose s = 15*k - 8*k. Let u(r) = r**2 - 8*r + 2. Calculate the smallest common multiple of u(8) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 13*f - 3. Let d(z) = z**3 - 5*z**2 + 4*z - 6. Let x be d(4). Let t be n(x). Suppose 8*h**2 - h**3 - 8*h**2 + 6*h**t - 5*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 105.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose -1 = -p*y + 2. Let t = 0.09 - -0.11. Sort y, t, 1\/2.\nAnswer: t, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**6\/45 - 2*o**5\/3 - 95*o**4\/18 + 20*o**3\/9 + 32*o**2 - 1814*o. Determine p so that c(p) = 0.\nAnswer: -12, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -28*p + 219. What is g(16)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247306 (base 13) in base 5?\nAnswer: -2424341111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) 1.6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9571 and 23083?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -536 - -2?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*m - 1852*m + 36 - 22 - 14 to the form u + x*m and give x.\nAnswer: -2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (-40 - -66 - 13)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 33*v - 62. Let k be w(31). Let o(q) be the second derivative of 0*q**3 - 6*q + k - 1\/2*q**4 + 3\/2*q**2. What is the derivative of o(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10622000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*2\/4*-2. Suppose -2*m = 3*i + 1 - 10, 0 = 4*m - 5*i - g. Sort m, -2, 5 in descending order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1133688 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1311 and 113\/101292.\nAnswer: 1924548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320830117, 320830116, 320830115, 320830114, 320830113?\nAnswer: 320830112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 13. Let r = 2.2 - -0.8. What is the smallest value in r, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 0.03 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 36509.\nAnswer: 36508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-4 + 2 + sqrt(19))**2 - 3*sqrt(76)))*4.\nAnswer: -40*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.6, 0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002120100012 (base 3) in base 8?\nAnswer: 2160546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768020 is divided by 16220?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39412 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/((-418)\/(-55)). Let u = -124 + 993\/8. Let d = u - 15\/56. What is the third smallest value in -0.3, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/8 + 25947*s**2\/8 - 206757*s\/2 - 439467\/2 = 0.\nAnswer: -2, 34, 8617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7 - 1. Let v be ((-70)\/15 + 2)*-6. Suppose g = -g + v. Solve 3*o = y*n, o = -3*o - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*c**2 - 238659 + 238659 + 4*c to the form o*c + j + u*c**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2988\/30)\/(64\/280 + 0). Which is smaller: 437 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 + 12*k + 8. Let b be s(6). Let p be b + -4*18\/(-24). Calculate the highest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.14732169 to three dps.\nAnswer: 2.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 97?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j - 495 = -884 + 1141 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400819 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**3 + c**2 - 11*c + 12. Let q be s(3). Suppose 3*m - m = -456. Is m != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose -2*a - o + 1 - 6 = 0, -15 = 4*a + 3*o. Let g(t) = 337*t + 2025. Let p be g(-6). Solve p*z = -a*z - m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 11:49 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**29\/(s\/(s**25\/s)) assuming s is positive.\nAnswer: s**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936440 is divided by 6829.\nAnswer: 6799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252612 (base 9) to base 12.\nAnswer: 74562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-571)\/(-6) - 5\/30. Let b = u - 53. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -6*z + 3*z - 7, 0 = 2*z + 3*p + 3. Factor 9*j**4 - j + 6*j**2 - j - 7*j**4 - z*j**3.\nAnswer: 2*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y + 48. Suppose 20 = -43*v + 38*v. Let j be h(v). Determine p so that -6 + 13*p**2 + 13*p**2 - j*p**2 - 3*p + p**3 + 2*p**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 375?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 34.74595.\nAnswer: 38.74595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/60 + g**4\/4 + 5*g**3\/3 + 7*g**2. Let d be u(7). Solve -1 + 4 = d*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 10*j**2 - 20 - 9*j**2 - 6*j**2 as m*j + o + d*j**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxhjy. Give prob of picking 1 j and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 11*y + 202 + 7. What is the smallest value in 4, 14, y, -3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -108087 and 0.1?\nAnswer: 108087.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 - z**2\/2 + z - 2894. Let i(p) = 0*p**2 + 2*p + 3 - p**2 - 3*p. Determine -i(y) + 3*k(y).\nAnswer: 4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/sqrt(3) - -5*(sqrt(44)\/sqrt(4) - sqrt(11))**2.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6) - (-37)\/(-2). Let r be 2\/10 - (-24)\/i. What is the tens digit of ((-4)\/(-16))\/(r\/(-92))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**4*y**2 + 11216*f**2*y**2 + 298*y**2 - 315*y wrt f.\nAnswer: 12*f**3*y**2 + 22432*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 26*v + 29. Let x be h(-12). Suppose 4*p - 69 = -4*o + x*p, 3*o - 5*p - 39 = 0. Calculate the remainder when 106 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -547327 - -547371.2878. Let m = f + 0.0122. Let o = -44 + m. Sort o, -0.1, 5, 2\/15 in increasing order.\nAnswer: -0.1, 2\/15, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7317838 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5095)\/(-6)*(34 + -28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o - 89 - 162*o - 137*o - 57*o - 3 with respect to o.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f)**(-2\/27)\/(f**6\/(f\/f**(-9))) assuming f is positive.\nAnswer: f**(211\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98994.53ml?\nAnswer: 98.99453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1059 + 1290. What is the remainder when r is divided by 119?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -8. Suppose -3*o = -b*o + 4. Is -5 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9401 and 47005.\nAnswer: 47005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -46517750 to the nearest ten thousand.\nAnswer: -46520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 2, v: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1450)\/(-8700))\/(2\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 724944 and 615104.\nAnswer: 20298432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-5) - (-3)\/(-15))\/(-1). Suppose -3*z + d*u + 3 = 2*u, 5*z = -3*u - 9. Suppose z = 5*k + 62 - 477. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234802 - -114652. What is f rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 480*j**2 + 447*j + 16240. Give p(481).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c - 159. Give g(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*k = 153*k - 2*a + 56, -55 = 3*k - a. Let f(l) = -l**2 - 19*l + 2. Calculate f(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -2. Let v = -466 - -263. Let s = v + 203. Which is the nearest to s? (a) -0.3 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pux. What is prob of sequence up?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 27*r**2 + 5*r**2 + 4*r + 9*r**2.\nAnswer: -7*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1182885.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -879 + 936. Calculate the least common multiple of 8 and f.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/46 and (10 - (-658)\/(-70)) + (-4)\/((-11040)\/(-861)).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1460 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229350 and 71115?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*2\/336 + 9*(-5)\/(-60).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4\/5 + 10*w**3 + 68*w**2\/5 + 22*w\/5 = 0 for w.\nAnswer: -11, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4276 is divided by 88?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396 is divided by 103.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by ((-72)\/(-144))\/((-1)\/(-34)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-5 - 2)) + -2. Let p(s) = 20*s**2 + s. Let n = 431 - 307. What is the remainder when n is divided by p(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50545800 to the nearest one hundred thousand.\nAnswer: 50500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*x. Suppose -96 = -9*n + x*n. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9275486 or 18550971\/2?\nAnswer: 18550971\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:21 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 915 - 340. Let o = d + -571. What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/5 - 55*r**4\/2 + 971*r**3 + 3080*r**2 + 3136*r + 653. Suppose b(p) = 0. Calculate p.\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/((-10)\/1140). Calculate the greatest common factor of y and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 396*q**5 - 159*q**5 - 236*q**5 + 143*q - 430*q**2 + 432*q**3 - 146*q**4.\nAnswer: q*(q - 143)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13902*-27\nAnswer: -375354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/4 + 5)*-2. Let v be (18\/3)\/((-3)\/s). What is the tens digit of v\/(2 + -1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msskwkkvmssv. Give prob of picking 1 w and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*d = 330*d + 4932821 + 19373005. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622051 (base 7) to base 9.\nAnswer: 371255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 7*q + 2*q**2)*(11*q + 71*q - 13*q) - q**2 + q**2 + 2*q**2 - 2*q**3.\nAnswer: 136*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*g + 28 - 10*g - 17 - 72*g.\nAnswer: 3*g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -49*h**4 - 1197*h**3 - 6654*h**2 + 4100*h - 600 = 0.\nAnswer: -15, -10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.95 - -2. Let d be (0\/(9\/3))\/2. Which is the third biggest value? (a) d (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128610*0.0233.\nAnswer: -2996.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5830 divided by -530.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17710*i - 17. Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t - 1)*(-t - 3*t + t)*(26*t - 6 + 9 - 2).\nAnswer: 156*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 12. Let x = 8 + -16. Let h(q) = -10 + 27 + q - 5 - 12. Let i(z) = x*h(z) - v(z). Give i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2\/(-8))*120\/165.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -84*m - 204. Let j be w(-6). Let h = j - 298. Solve -u - h*s - 7 - 1 = 0, 2*s + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1849174, -1849171, -1849166, -1849159, -1849150?\n\"Answer: c**2 - 1849175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/739 or 30.2749?\nAnswer: 30.2749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 240 = -4*s, -2*z + 3*s - 8*s = 137. Let l = -1 + z. Let c = -77 - l. Solve 5*t = 3*t - 4, 5*x - 3*t - 6 = c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*h**3*v*z + 29*h**3*v - 3*h**2*v**2*z - 2*h*v**2 wrt z.\nAnswer: 49*h**3*v - 3*h**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*t + 35731 = 71348 - 35683, 3*b = -5*t - 69 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**4 + 0*o**6 - 1\/60*o**5 - 5*o**2 + 0*o + 0*o**3 - 1\/210*o**7 + 0. Find the third derivative of p(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-700888)\/(-237))\/((-4)\/6). Is m not equal to -4437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -28856 by -1.\nAnswer: 28856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42643809 by -171.\nAnswer: 249379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 50.88866?\nAnswer: -50.48866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26557, 13, 4, -3 in increasing order.\nAnswer: -26557, -3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 5, 110, -47, 8, 3 in decreasing order.\nAnswer: 110, 8, 5, 3, 1, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.074109 + -0.03888. Round l to 3 dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2*3 + sqrt(99) - sqrt(99) - sqrt(99))\/(sqrt(18)\/(sqrt(6)\/sqrt(3))) + -2*(sqrt(99) - (sqrt(99) + (1*sqrt(99) - sqrt(99))**2*-4)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1739.393 millennia to centuries.\nAnswer: 17393.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2268)\/sqrt(9))**2 - sqrt(7)).\nAnswer: -3*sqrt(7) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011000010 (base 2) to base 10.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iceeebeieceeeecceh. What is prob of picking 1 h and 1 i?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = 3*h + 17, 4*h + d + 72 = 0. Let c = 30 + h. Suppose 0 = -f - c + 67. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 263*n**2 - 168*n - 2. What are the prime factors of j(9)?\nAnswer: 7, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-5)\/(-10)*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5 (base 15) in base 8?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -84.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.4 - 6.8. Let f = 1.2 + w. Let o = f + 33.961. What is o rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -113*i**2 + 0*i**3 + 0*i**4 + 0 + 0*i - 1\/60*i**5. Let r(d) = 337*d**2. What is r(p(v))?\nAnswer: 337*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - (6 + -11)) + -10 + -14 + 23.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**13*u**(-23))\/(u**13\/u*u*u*u*u\/(u*u\/(u*u*u**(4\/9)))*u) assuming u is positive.\nAnswer: u**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 322 - 20693?\nAnswer: -20371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (-13 + 59 - 20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412*q = 1418*q - 64775 + 1229. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048292 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -5 (c) 4 (d) 53\/7 (e) -3.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.6. Let p be -323 + (2\/5 - 306\/90). Let r = -326 - p. Put -5, l, r, 2 in ascending order.\nAnswer: -5, l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192621 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqd when three letters picked without replacement from qdnamiidiaidamn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 59*d**4\/4 + 304*d**3\/3 - 351*d + 2. What is the second derivative of l(u) wrt u?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6343683 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.78 + -0.22. Let m(v) = 2*v**2 - 8*v + 6. Let a be m(3). What is the third biggest value in a, -2\/5, z, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -14. Let i = 40 - 40.2. Which is the closest to 1\/2? (a) 0.4 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.49 and -25.58824156.\nAnswer: -26.07824156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*i**3 - 5 + 9*i**3 + 4.\nAnswer: 74*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0558292 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-86))\/(-4 - -2). Let i(t) = t**3 - t**2 - 51*t - 116. Let g be i(-3). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -845, 1, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -17. Suppose 0 = -2*q + h + 30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.247863 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -79*v**2 + 5*v + 7. Let g(j) = -77*j**2 + 6*j + 9. Calculate 5*g(r) - 6*k(r).\nAnswer: 89*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751629 is divided by 107359?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 - 11 - -13 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 17*u**2 + 24*u - 79. Let o be x(16). What is the third derivative of -o*v**2 - 11*v**6 - 29*v**2 - 11*v**6 wrt v?\nAnswer: -2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 112.7, 3, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 = -69. Suppose 10 = 2*q, 2*k + 5*q - 17 - 18 = 0. Suppose c - 4*b = -0 - 9, b = -k*c + 60. What is the remainder when t is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 + s**4 - 2*s**4 + 2 + 2*s + s**4 - 2 + (4*s + s**3 - 4*s)*(0 - 4*s + 0) in the form w*s**2 + y*s**3 + a*s + l*s**4 + x and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252.4 + 252. What is the nearest to 2 in 1\/4, l, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.4 - 34.3. Sort -6, -0.5, -2, t in increasing order.\nAnswer: -6, -2, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 - -738. What are the prime factors of l?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3 + 4. Let z(v) = -v**3. Let y(p) = -4*p**4 + 4*p**3 - 3*p. Let k(c) = n*y(c) + 4*z(c). Find the second derivative of k(t) wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/369)\/(2\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 18*b**2 + 19*b + 1. Let m be (0 - -1)\/((-15)\/120). Let l be ((-12)\/m)\/((-3)\/(-38)). Let o be v(l). Sort o, -5, -2.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -14, -89, -252, -533, -962, -1569, -2384?\nAnswer: -3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 8*l**2 + 45*l + 96. What is c(7)?\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 16 = -2*g, 12629*x - 12624*x + 4*g + 23 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15952 = -4*k, 0 = g - 4*g + 5*k + 11972. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w - 6. Give j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3049307 rounded to three decimal places?\nAnswer: -0.305","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-14)*5\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = -m + 308, 2*c - 212 = -2*m. Let o = 11 - -15. What is the remainder when c is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3453 - 3453.4. What is the nearest to 0 in 15\/76, w, -5\/4?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/(-3) + 0). Let d(t) = t + 20. Let m be d(-22). Which is the closest to 0? (a) 1 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/107 (b) -4 (c) -5 (d) 1\/4 (e) 2\/9 (f) 2 (g) -16893\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/108 + 121\/(-22) + 6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010111100111 - -101?\nAnswer: 101010111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10*d = -28. Let n(g) = 14*g - 9. List the prime factors of n(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.2, -25, -1\/2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 88, -142, -476, -920, -1480, -2162?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*q**2 + 4*q**3 + 51*q**2 + (-q + 4*q - 2*q)*(0 - q**2 + 0) + 20*q**3 + 2*q**3 + 15*q**3.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4)\/sqrt(2) + sqrt(24)\/(sqrt(36)\/sqrt(3)) + sqrt(2))**2 + (sqrt(162) - (sqrt(162) + 1)) + 0.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -53, -105, -189, -311, -477, -693?\n\"Answer: -o**3 - 7*o**2 + 2*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/7 - (9 - 8). Let s = 8115 - 8115. What is the nearest to z in s, 2\/35, 1\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by -5\nAnswer: -171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 15. Let v = -39 - -24. Let c(x) = -1. Let t(j) = v*c(j) + f(j). Let d(i) = -5*i**2 + 3*i**2 + 2*i**2 - 4*i**2. Determine d(t(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 736 and 760864.\nAnswer: 17499872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801931499?\nAnswer: 3, 127, 1576493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*z - 413*z + 4 - 460*z - 4.\nAnswer: -139*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350 - 340. Solve -6*g - 8 - v = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 106\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53301?\nAnswer: 3, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, -29, -0.2, 1\/3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-10) - 6\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -511, -777, -993, -1141, -1203, -1161, -997?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -4*y + 2*n, -2*y + 12 = -4*n. Let d be 5 - 4\/(2 - y). Let v = 2188 + -2185. Solve d*t + 14 = 5*w, 3*w = w - v*t - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -32. Solve r*i - 5*z = 21, i - z = -3*i + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 4*w**3\/3 + 9*w**2\/2 + 13*w + 6. Let v(z) be the first derivative of y(z). What is the units digit of v(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*0 + 2. Let j(o) = -3*o**3 + 12*o**2 + 4*o**3 - 6*o**2 + 5*o + v. Let y be j(-5). Solve -d = -y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578966 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2489164 and 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 46 (c) 7 (d) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/(10\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -1.48. Let m = f + 1.3. Let v = m + 0.201. What is v rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1690\/845*(-1)\/(-114)\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 4*n + 2. Let o be z(3). Let y be (-2 - o) + 3 + 0. What is the second derivative of -2*r**2 - 24*r - r**y - r**2 + 20*r wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8569*b**3*j**3 + b**3*j**2 - 3*b**3 + b**2*j**2 + 112*b*j**4 - 2053*b + 118 wrt j.\nAnswer: -51414*b**3 + 2688*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 24*c - 3. Let p be v(-12). Let f(n) = -4*n**3 + n**2 + 7*n - 6. Let t be f(p). Calculate the greatest common divisor of t and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(2\/41)*w))*w*w*w)**(-11)*(w**(-2\/7))**(1\/3) assuming w is positive.\nAnswer: w**(-46975\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7 + -8. Let o be 6\/18*(-39)\/91. Which is the closest to -2? (a) o (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Which is the closest to 1\/3? (a) -3 (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -2*(sqrt(84) - (sqrt(84) + 5*sqrt(84) - sqrt(84))) - sqrt(84))\/(sqrt(48)\/sqrt(16)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - 1490\/50. Let z = 31 + m. Calculate the least common multiple of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o. Let a be (9\/12)\/((-3)\/(-12)). Let i be v(a). Let m(n) = n**2 + 8*n - 14. What are the prime factors of m(i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2736)*2*3 + -4)**2.\nAnswer: -591072 + 3456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54460608 and 6264.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 764 = -244. Suppose 11*c - k = 7*c. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 13*o = -16, 2*g = 2*o - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) - (sqrt(7) - (sqrt(700) + sqrt(700)*2))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - 19\/4. Let a be 5 + i - (-3)\/1. Let d(k) = -k**3 + 6*k**2 - 3*k. What are the prime factors of d(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4) + 3\/(-12). Let d be 2\/(-6) - (-6)\/18 - 76\/(-342). Let r = -0.2 - -0.1. Which is the nearest to r? (a) v (b) 5\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180038 - 180192.9802. Let d = w + 155. Round d to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 15*d - 11*d - 3*d + 2*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**8\/20160 + h**4\/12 - 26*h. Let r(f) be the third derivative of y(f). Factor r(u).\nAnswer: -u**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.14 and 0.441.\nAnswer: 0.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*-9\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-154))\/((-47757)\/(-350218)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y - 64. Let v be p(5). Suppose -v*m + 13*m = -192. Calculate the greatest common divisor of 336 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 783254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34738254)\/(-558) - (-12)\/186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 70. Is (-438)\/(-14) + (-4)\/y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, 0.5, -2\/17, 1\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 454 - 448. What is the fourth biggest value in -0.1, 0.2, a, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-3))**(-2\/49)*((m*m\/(((((m*m*m**(4\/9))\/m)\/m)\/m)\/m*m))\/m)\/m*m**3)**(2\/89) assuming m is positive.\nAnswer: m**(2956\/39249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 1, u: 4, q: 1, m: 1, k: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256 or -267?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h*h\/((h**(6\/11)*h)\/h))*h)\/(h\/h**12))\/((h*(h*h**(2\/7))\/h)\/h**(-5)))**32)**38 assuming h is positive.\nAnswer: h**(586112\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3\/(-15)*(-1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393825657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 15. Let h(y) = 2*y - 11. Let a be (-48)\/(-5) - 4\/(-10). What is the remainder when z(5) is divided by h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005075 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.68 + -2.18. Suppose 0 = -2*s - 2*s - 28. What is the second smallest value in -1\/6, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + a + 25 = 4*j, -3*j = 4*a - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 40 = -2*n + 21, n - a - 8 = 0. Suppose 5*w - 4*k - 3452 + 634 = 0, -n*w + k + 1688 = 0. List the prime factors of w.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0661 + -206.66.\nAnswer: -206.5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1731227*0.046.\nAnswer: -79636.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 5 + 34 + -62 - (-12 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6) + 2)*(-3)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-27)\/(-6) - 0\/13) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*a = -4*a + 19, -5*a - 5 = 0. Solve -2*m - r = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 66*p + 822. Determine j(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-2)*(-3)\/(-4). Suppose -5*j = -5*k + 3*k + 51, 5*k - 159 = 2*j. What is the greatest common factor of c and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 1, v: 4, m: 2, z: 4, g: 3}. What is prob of picking 1 v and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10305 - -14644. List the prime factors of y.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and 0.3.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 29. Let j = -9 - o. Let v be 5\/3 + (-2)\/(-6). What is the closest to -2\/7 in j, v, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k**3\/4 - 1138*k**2 + 325*k.\nAnswer: k*(k - 650)*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038028?\nAnswer: 2, 3, 7, 59, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1592661 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 4*u**2 - 5*u**2 + u + u + 412 as o*u + n + y*u**2 and give n.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25212081413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 221.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4. Let n be f(-4). Let p(j) = 5*j - 58. Let h be p(n). Factor 2\/7*q**3 - 4\/7*q + 0 - 2\/7*q**h.\nAnswer: 2*q*(q - 2)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**3 + 47*q**3 + 48*q**3 - 192*q**3 + 55*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6.1. Let w = -0.1 + i. Which is the nearest to 1? (a) w (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/4 - 5*m**3 - 13*m**2\/2 - 18*m - 1046. What is y(-14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17785, -71167, -160141, -284713, -444889?\nAnswer: -640675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z. Let l(s) = 0*s**2 + z*s**2 - 3*s**2. Let k(f) = -5*f**2 - 6*f. Let n(y) = -9*y**2 - 10*y. Let h(u) = -5*k(u) + 3*n(u). Calculate l(h(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*t**5 - 42603*t**4 + 1344*t**2 - 159*t - 13?\nAnswer: -8820*t**2 - 1022472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 20 = 1582*a - 1583*a, 5*y = -a + 56 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 13 - 1. Let n be 110\/(-8)*k\/5. Let s = -8 - n. Which is the third biggest value? (a) s (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 1}. Give prob of sequence ott.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -12.4. Let j = -10.2 + v. Let a = 0.3 + -0.3. What is the nearest to a in j, 1, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5251781, 5251754, 5251731, 5251712, 5251697, 5251686?\n\"Answer: 2*z**2 - 33*z + 5251812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 277*t + 1387, 8146*t = -i + 8141*t - 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -74, 48, 1\/34, -4?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-388212)\/(-8996) + 28 + ((-9)\/(-26) - (-1)\/(-2))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 73\/5 + 12\/30. Suppose 5 + s = -4*k. Let h(x) = -x**3 - 5*x**2 - 3*x - 3. What are the prime factors of h(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-144)*(-6)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -42, -65, -108, -177, -278, -417?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/28)\/(8\/(-28)). Let a be (c\/(-9))\/(1\/9*6). Is 0.025 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(448) - sqrt(448)*2).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98))*-2.\nAnswer: -14*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1032 and 774.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) -5 (c) -6 (d) -1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19244 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/6*(-226916)\/(-23359)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*k + 4*a, 0 = -4*k + 12*a - 8*a - 4. What is the units digit of ((-313)\/(-3) - 6) + k\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 5*k - 4*k)*(2*k - 2*k - 2*k)*(0*k - k + 0*k)*(77*k - 120*k - 195*k).\nAnswer: 952*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-5*f - f + 0*f) + 528*f + 77 + 35 - 550*f to the form r*f + q and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 17363, -39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3776 divided by -944\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.02 (c) -61 (d) -6 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let w(r) = -49818*r + 1223. Calculate w(v(j)).\nAnswer: 49818*j**2 + 1223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/123)\/((-40)\/(-12)))\/(564\/1410)?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 383 - -1269. What are the prime factors of u?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/7)*o*o**(-2\/33)*(o**(-1\/4))**(-20) assuming o is positive.\nAnswer: o**(1537\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15605 - -35048829\/2246. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*d = -28, -13 = q - 3*d - 0*d. Suppose 0 = 4*p - 2 - 18. Let r = q - p. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2505015*w**3 - 2505015*w**3 - 2240*w**4 + (-w**2 + 0*w**2 + 0*w**2)*(w - w + 2*w**2).\nAnswer: -2242*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3243, 11156, 24345, 42810, 66551?\n\"Answer: 2638*p**2 - p + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66729 - 20?\nAnswer: -66749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let a(j) = j**3 - 4*j**2 + 7*j - 3. Let n be a(3). Suppose -7*c + n = 30. What is the closest to 0.1 in 4\/3, c, x?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y + 213. Let i be j(-42). Determine o, given that -729\/2 - 27\/2*o**2 - 1\/2*o**i - 243\/2*o = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 1 + 2918)*45\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*h, i - 5*h + 18 = 5*i. Solve 3*p = c - 17, i*c + 4 = -4*p - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164100 is divided by 135249.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 12 = 0. Is a\/(3\/227) + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1004 - -1?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24571 - -25999. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19729 and -0.1?\nAnswer: 1972.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 71*p + 209*p.\nAnswer: 266*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/((-42)\/(-4) - 11). Let c = -4 - -6. Solve -a*j = m + 14, j + 10 = -m - c*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2 - f**3 - 6*f**3 - 3*f**2 wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = l - 2*m, 4*l - 148 = -4*m - 164 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11)*(-3)\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 696426, 696869, 697312?\n\"Answer: 443*w + 695983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 60*n - 118 = 128, 6*n - 2*n = -16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553653931?\nAnswer: 167, 307, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8933 by 11.\nAnswer: -8933\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - g)*(-6 + 3 + 4) + (1 - g - 1)*(-14 + 1 + 0).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 9. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*a + 2944 + 1010 - 696 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -357, -2, 5, 16, -9 in decreasing order.\nAnswer: 16, 5, -2, -4, -9, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 + 140 + 146 - r**2 - 283 - 5*r - r**3. Let n(f) = f**2 - f - 3. Let m be n(0). Let c be t(m). Which is bigger: -16 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-2)\/108). Let f be (-1420)\/(-6) + 12\/b. Suppose 194 = z - f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.5*245.\nAnswer: 6982.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 + -4 - -7 - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -377658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5303553, -10607107, -15910661, -21214215, -26517769?\nAnswer: -31821323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/41)*(b*b\/(b*b*b**(21\/5)*b*b))\/b*b*(b**14*b)**(-4\/7))**(-9) assuming b is positive.\nAnswer: b**(177228\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014603575 to 5 dps.\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -131, -0.03 in decreasing order.\nAnswer: -0.03, -0.5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 4*d**2 - d - 3*d.\nAnswer: -7*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3\/7 + 24*s**2\/7 - 528*s\/7 - 2304\/7 = 0.\nAnswer: -16, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4\/(p**(-22)\/p)*p\/p**(-5\/3)*p\/(p*p**(-26\/5)) assuming p is positive.\nAnswer: p**(523\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-4 + 5\/5). Let c = 349 - 354. Sort 0, 2, m, c.\nAnswer: c, 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38804.\nAnswer: 2, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 985515166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let v(q) = 33379*q. Determine l(v(w)).\nAnswer: 66758*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36578969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4147835l in millilitres?\nAnswer: 414.7835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/200 + 0 + (-56)\/(-20). Solve w*j - 87 + 99 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3 - 3)*(0 - 2 + 4) - 10*i - i + 3*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 22*w - 8. Suppose 0 = -2*g + 8, 0 = 4*t + w*g - 6180. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.5525314 and 3.\nAnswer: -0.5525314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -628.0729 + 628. Let f = -0.073522 - r. What is f rounded to five decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 226, 227, 268, 349, 470?\n\"Answer: 20*o**2 - 59*o + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/10 + -3\/20. What is the third smallest value in -1, w, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z - 6*z**4 - 3*z)*(-z - 4 + 4) - 6*z**2 + 6*z**2 + 5*z**5)*(-12 + 3 + 5).\nAnswer: -44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 0.49. Sort s, 4, -5\/3.\nAnswer: -5\/3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - l**4 + 1 + (l + 0*l + 0*l)*(23*l**2 - 23*l**2 - 18*l**3) to the form y + x*l**2 + d*l + v*l**3 + h*l**4 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517 = -20*o - 39*o - 1638 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012568863 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -5. Let i = 6 + x. Let y = -3 + i. Put y, -1\/9, 1 in decreasing order.\nAnswer: 1, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzggogozag. What is prob of picking 2 h and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 2741?\nAnswer: 273c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15013625 (base 7) in base 12?\nAnswer: 58320b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/440 and 75\/15158.\nAnswer: 303160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 192*j**2 - 375*j + 186.\nAnswer: -3*(j - 62)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) - -1*sqrt(6)) + sqrt(13) - (sqrt(52)\/sqrt(4) + 3).\nAnswer: -3 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -238*h - 94. Let g(m) = -109*m - 47. Determine -13*g(n) + 6*l(n).\nAnswer: -11*n + 47","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -5, 0.3 in increasing order.\nAnswer: -5, 0.3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(-4*z**3 + 4*z**3 + 4*z**3) + 0 - z**4 + 0 + (-1 + 1 - 2*z**2)*(0*z**2 + 0*z**2 - 2*z**2) + 0*z**2 + 0*z**2 + 2*z**4.\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 27\/146 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0348 in 4, 18\/7, -3?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/237 (b) 5 (c) -3 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 16, 4*a - 3*f = 0. Suppose y + 0*y = -2*b - 2, -a*y - 2*b - 2 = 0. Let m = 3 + y. Solve 0 = -n - 0*n - w - 2, -4*w = -m*n + 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52481\/858 - 59)*(-6)\/8?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 24. What is the first derivative of -458*w**2 - 21 - 28*w**3 + 458*w**2 - d wrt w?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5)**(4\/21))**(-4) assuming k is positive.\nAnswer: k**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from vybcwwpbwpcwwyvcwww?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 11. Let m(i) = -i - 12. Let j(w) = 6*m(w) + 7*x(w). Let f be j(-4). Let p = 1 + f. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*j - 527 - 976 = -112*j. Let s = -1 + -1. Sort s, 5, j in decreasing order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-4)\/(24\/(-33)). Suppose 2*v - f = 3*n, 1 = -3*v - n + 2*n. Let i(u) = -5*u**3 - u**2 - 2*u + 1. Is i(v) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -9483?\nAnswer: 9494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 687 + -686.9671. Let b = -51.7329 + w. What is b rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 337 + 1221 = 0. Suppose -5*z + 298 = w, 4*z - 4*w = 3*z + i. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from fffmnffffkkfffffx.\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7223 + 20053. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 + 0)\/(-4))\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-4*j + 2*j + 3*j) + 0*j + 4*j - 2*j + (3 - 1 - 1)*(-86*j + 27*j - 334*j).\nAnswer: -390*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-8 - 0 - (198 - 204))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1794 + 498. Let s = 1296.001911 + g. What is s rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -30. Suppose f = 2*a + w*f - 26, -5*a + 11 = -f. Let z be (a\/2)\/(-12*(-4)\/160). Solve 0 = -z*b - 2*t - 0*t - 4, 0 = 4*b + 3*t - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvkv when four letters picked without replacement from {k: 9, v: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.488 - 23.512. What is the nearest to u in -2, -0.1, -5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*u + 84*u = 30. Suppose 0 = n - j - 28, -3*n - u*j + 5*j + 92 = 0. Factor n*r**2 + 14*r**3 - 2*r**3 + 7*r**4 + 20*r + 5 - 2*r**4 + 8*r**3.\nAnswer: 5*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-52)\/(3120\/(-105)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 43*o. Let x(t) = -3*t + 4*t - 3*t. Calculate z(x(s)).\nAnswer: -86*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let j = -9 + 12. Let r(s) = -s**2 - s - 6. Let o(t) = j*r(t) + 12*p(t). Find k such that o(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) 1\/14 (c) -34 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16.3 times -2.144\nAnswer: 34.9472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012191 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p + 2*w - 13, 0 = 2*w + 4. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:26 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -4 (c) -1 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1075 + 1474. List the prime factors of s.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0 + 10. Suppose 14 = y*r + 2*q, -3*r - 3*q = -5*r + 19. Let v be (-20)\/(-8)*r\/35. Is v <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 - 10?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -1\/40*y**6 + 0 + 16\/7*y**4 + 62*y**2 - 16\/7*y**3 - 69\/70*y**5 + 0*y + 1\/10*y**7. Determine d, given that j(d) = 0.\nAnswer: -2, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -114, -159, -214, -279, -354?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 20 - 22*i**3 + 37.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s + 9. Let y(m) = 5*m + 52. Let i be y(-10). Calculate u(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 14\/(-5))\/((-5)\/25). Suppose -b*g - 2*g = -2*g. Suppose -4*i = -5*h + 2 + 2, 5*i = -3*h - 5. Solve h = -g*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + 7*j**4\/12 + j**3 + j**2\/2 - 891*j. Determine i(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0*i - 10 = -4*l, -5*i = l - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1606*s**2 + 32*s - 5. Let u(y) = -1071*y**2 - 22*y + 3. Let c(w) = -7*u(w) - 5*x(w). What is the second derivative of c(i) wrt i?\nAnswer: -1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(19) + 1 + sqrt(19) - sqrt(19)) + 3.\nAnswer: sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38617 divided by 38617\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (0 - -2) - 0. Suppose 0 = q - 332 + 47. Suppose -d*j + q - 53 = 0. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4207420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 40. Let m be 2*(0 - 1) - s. Let t = 0.9 - -0.1. What is the nearest to t in 0.5, m, 0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 12:12 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272\/45 + -58\/9. Let j = -439\/174 + 57587\/3480. Let i = j + -117\/8. Sort -5, m, i.\nAnswer: -5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1789838 and 132867.\nAnswer: 338279382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - e?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0 + 2*o + 0*o**3 - 1\/15*o**5 - 1\/60*o**6 + 1\/18*o**4 + 0*o**2 + 1\/28*o**7. Find s such that u(s) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 4455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -503, 1667.\nAnswer: -503, 148, 1667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/176 and -55\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 42. Let g = 76 + -81. Let u be l(g). Sort 0, u, -2\/111 in descending order.\nAnswer: 0, -2\/111, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9\/k*k*((k**6*k)\/k)\/k)\/((k*k\/(k*k**(-1\/4)*k*k))\/k*k**(-3\/7)*k*k)*(k**1)**7\/(k**7\/k*k\/(k\/(k**8\/k))) assuming k is positive.\nAnswer: k**(229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 10*z**4 + 70*z + 3*z**4 + 1 + 68*z - 136*z as k*z + d*z**4 + b*z**3 + t*z**2 + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let d = 2 + -2.4. Which is the nearest to -1? (a) y (b) 6\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 13*t + 7. Let a be z(-7). Let p be (0 - (1 + a)) + 87 + 2. Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*i + 781 = g - 179*i, -3*g - 5*i = -2408. Does 53 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12710212?\nAnswer: 2, 3177553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 6*d**2 - 5*d - 6 - 3*d + 7*d to w + b*d + p*d**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 744*z - 743*z + 3 - 1 - 5*z**2 + 3*z**2 + 3*z**2. Let i(j) = -j**3 - j**2 - 8*j - 15. Let v(d) = -i(d) - 6*q(d). Calculate v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5762185 is divided by 805?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5531267779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*-2)\/sqrt(9) + -2)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -682, -1023?\nAnswer: -1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -54, -144, -270?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 5446*i + 7414729 = 0. Calculate i.\nAnswer: -2723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 6:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(85) + 4*1*sqrt(85) + sqrt(85))\/(-2*sqrt(405) + sqrt(5) - sqrt(5)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23.4, -0.02, 1\/3, -0.5.\nAnswer: -0.5, -0.02, 1\/3, 23.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*d*x**3 - 16074*d + 65*x**3 with respect to x.\nAnswer: -153*d*x**2 + 195*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4 + 4)*(3 + 3 + 0) + (o + 0*o - 2*o)*(-3 + 3 - 1)*(0 + 3 - 2).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {h: 3, u: 3, f: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23188542 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1) + (-4)\/1. Let a be ((-12)\/(-14))\/3*r. Put -1, 5, a in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5902 - 5122. What is the greatest common factor of o and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 30, 29, 6, -45?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22980, 183541, 619312, 1467897, 2866900?\n\"Answer: 22934*b**3 + b**2 + 20*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 2\/41, -0.5, 135?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -24*r - 167. Let a be m(-8). Calculate the highest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 take away 863?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/3)\/(80\/(-15) - -6). Suppose -2*a - n = -18. Determine m so that -1\/4*m**a - 3\/4*m - 1\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 132. Suppose 10205 = -v*s + 5*s - 5*t, 5*t + 10 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4796*f - 3712*f = -68292 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/12*-4)\/((-3)\/(-6)). Let p = -61\/6 + 21\/2. What is the nearest to p in o, -0.22, -1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56.528 and -1057694573.\nAnswer: -1057694516.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/35 + -61\/35. Let z = -0.5 - -0.7. Which is the closest to s? (a) -6 (b) z (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -921\/5 or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 20. Let o = b + -3. Suppose y + 4*y = -2*j + 13, -o*y = -2*j + 43. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1901016 and 3485196.\nAnswer: 20911176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.04, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 32 - (187 + -198)) + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 8*d - 3*d. Let y be 4\/d - (-1)\/4. Let s(g) = g**3 - 3*g + 5 + g + g + g**2. Determine s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 12:16 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1299770 >= -1299766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4510*b*q**4 + 2*b*q**2 + 2*b*q + 178*b + 155 wrt q.\nAnswer: -18040*b*q**3 + 4*b*q + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238601 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (1 - 1) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) 45749 (c) -2\/13 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 5 (c) 2\/3 (d) 257 (e) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-42)\/(-4))\/((-33)\/(-154)). Which is the closest to -1? (a) 0.3 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -0.038217911?\nAnswer: 21.038217911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n + 167. What is the units digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 191604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 165\/15 - -2 - 0. Sort r, 21, -3, 8.\nAnswer: -3, 8, r, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -22. Let k = 2 + -1.9. Let l = 1 - 0. Which is the nearest to l? (a) j (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 j when four letters picked without replacement from {b: 4, j: 10}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*c = -20, -26*m - 4*c + 18 = -23*m. Suppose 6*l + 42 = 4*i + 5*l, 6 = i + m*l. Solve 2*x + 3*x + i = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -29 + -6 + 33.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 1e4fe0?\nAnswer: -1e4fd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3, 1\/5409?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585.24*0.117.\nAnswer: -68.47308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 404169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6243 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(8\/20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*g**3*t**3 - 2*g**3*t**2 - 38657*g**3 - 9*g**2*t**3 + 240*g**2 - 931*t**3 wrt g.\nAnswer: -198*t**3 - 12*t**2 - 231942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = 5*i - 28*h - 14, 4*i - 2*h = 14. Solve 5*t - i*t - 8 = 3*q, -4*t + 2*q = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513143 - 39330 = 11*h - 5*s, 8 = -4*s. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (14 - (12 + 43)) + 99.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:07 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 3*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9739212 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -21. Calculate the remainder when l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7)*(-56)\/16. Put n, -5, 5, -25 in ascending order.\nAnswer: -25, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:19 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 659*q + 748. Does 91 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -44. Let n = 42 - w. What is the greatest common divisor of 76 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-9))\/(2\/6). Suppose 4*b - h = 11. Determine u, given that 0 - 2\/9*u - 2\/9*u**b - 4\/9*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3976, -0.4, 0.5, 336, -3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344074012 to the power of 1\/2, to the nearest integer?\nAnswer: 18549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - 25\/(-15). Let y be (-3 + 1)\/2*i. What are the prime factors of (16 - y) + -1 + -1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 9*k**2 - 2*k - 11. Let d be n(9). Is 2 - d*(1 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296609 is divided by 8261?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 6*w)*(-3 + 4 - 2)*(3*w**2 - 4*w**4 - 3*w**2).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 10) to base 13\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6260 and 1440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 86*d = -88*d - 542, -3*d = f - 199. Calculate the remainder when 9014 is divided by f.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*2776\/5552?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-9)\/(-6)*(-48)\/(-72)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 100 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104668793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -1050\/13?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425 = -174*f - 489 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(3*b + 2*b - 3*b) - 179 + 363 + 190 + 300 - b to a*b + z and give z.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, -4, -526.\nAnswer: -526, -4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2\/3*m**3 + 0 + 24*m + 0*m**2. Let q(t) = -4*t. Determine d(q(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(833) - 2*sqrt(833)) + -3))**2.\nAnswer: 168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 3. Let o(m) = -m. Let i be o(2). Let n(t) = 1. Calculate i*n(g) - w(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -38.05. Round v to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134073799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(156) - (2*(sqrt(156)*-2 + sqrt(156)) - sqrt(156)) - sqrt(156) - sqrt(156)) + -1*sqrt(156)*1))\/(sqrt(132)\/(sqrt(77)\/sqrt(7))*-1*-4).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - 93 - (-56 + -55).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - y + 1, 0 = -5*t - 4*y + 7. Is 1*(t + 1) - -19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.717 + 30. Round n to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 - 154*g - 1493?\nAnswer: 3*g**2 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 + 182047.\nAnswer: 182017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83820?\nAnswer: 2, 3, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 7. Let q = -7 + 9. Let t(k) = k**3 - k**2 - 2*k. Let f be t(q). What are the prime factors of s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 - 1. Let b(t) = t**3 + 3*t**2 - t + 4. Let j(w) = b(w) + 4*u(w). Let n be j(-1). Solve 3*q = 2*q + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -7 - ((-1 - -20) + (-10 - 9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 853, 847, 841?\n\"Answer: -6*r + 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 423, 500, 617, 780, 995, 1268?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 154*w + 63. What is h(25)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3867, 23475, 76695, 180333, 351195, 606087, 961815, 1435185?\n\"Answer: 2801*v**3 + v + 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3306 and 104994.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 33 = -19*p. Put -4, p, -5, -3 in decreasing order.\nAnswer: p, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/16 (b) 2\/11 (c) -163 (d) 685\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from zdrzcczcbbch?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.100732 - 19.1. What is g rounded to five decimal places?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x*x**13\/x assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44398089 + -44398049.999966. Let y = p - 39. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let b be v(-1). Suppose -4*n = -3*z + 31, -11*z - n + 11 = -8*z. Suppose -6*w - 128 = -z*t - 4*w, -w = b*t - 44. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192601, -192602, -192603, -192604, -192605, -192606?\n\"Answer: -n - 192600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89217266*b**2*g**2 - 213*b*g**2 + 4*b*g - 2*b + 44*g**2 + 2 wrt b.\nAnswer: -178434532*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7 - 224*h + 228*h + 2*h**2. Let q(f) = f - 1. Let o be q(-3). What is the remainder when u(o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 117.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b + 32*b + 24*b + 37*b - 121*b - 2*b**2 + 234 as c*b + s*b**2 + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -170 - 34. Let w(f) = -3 + 3*f - 18*f - 9*f. What is the remainder when w(-2) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4395584365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6720720.\nAnswer: 2, 3, 5, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 13, 5, -19, -65, -139, -247?\n\"Answer: -a**3 + a**2 + 6*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 208924 and 223575.\nAnswer: 432499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntntnnnnnt. Give prob of sequence ntn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -18200*d. Let b(u) = -30*u + 9. Determine g(b(n)).\nAnswer: 546000*n - 163800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w\/(((w**14\/w*w*w)\/w)\/w)))\/w)\/w**(-14))\/(w**(-1\/11)*w**(-2\/11)))**(5\/14) assuming w is positive.\nAnswer: w**(750\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1371.9920176 + -1413.992. Let c = 42 + h. Round c to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let d = 323 + -318. What is x(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/90 - 17*c**3\/45 + 16*c**2\/15 + 28*c + 10. Factor t(s).\nAnswer: 2*(s - 16)*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*g = -12, 5*z - 5*g = -3*g - 30. Let y be (1 + 3)\/(-4) + (z - -58). What is the highest common factor of 272 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:20 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2595, 2596, 2597, 2598, 2599, 2600?\nAnswer: 2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-794325)\/(-126) - (-7)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -6\/7 (b) -2\/19 (c) -3\/8 (d) -0.147 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 12746.\nAnswer: 12746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -32, -2, -214 in decreasing order.\nAnswer: 6, -2, -4, -32, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432))**2 - ((2 + sqrt(3))**2 + 4).\nAnswer: 20*sqrt(3) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.615 - 0.315. What is the third smallest value in -2\/27, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -106a80c8?\nAnswer: -106a80c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7325 is divided by 198.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 16126640 to the nearest 100000.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -74. What is the remainder when f is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (24\/(-30) - 0)*6265\/(-14) is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251034 divided by -9\nAnswer: -83678\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g*g**(-1\/6)*g**(-1\/4) assuming g is positive.\nAnswer: g**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 5*q + 56. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 69. Calculate i(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*d**2 - 46*d**2 + 158 + 111*d**2 - 38*d**2 wrt d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223 is divided by 1244.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 286\/(-330) + (-6)\/4 and -127\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/24 + (-6)\/9. Let s = 249 - 250. Which is the closest to -2\/3? (a) -3 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z - 9. What is the closest to 11 in 3\/8, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8732 divided by 4366.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.5998772 + -23.6. Round x to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194978952, -389957899, -584936846, -779915793, -974894740?\nAnswer: -1169873687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -8. Let n = o + 7. Put -5, 0, n in increasing order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = a - 6, 2*u - 3*a - 6 = 2*a. Let t(g) = 3*g**2 + 5 + 2*g**3 - g + 7*g**2 + 17*g**3 - 14*g**2. Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536330 (base 8) to base 12.\nAnswer: 879b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjlljjfjjfjjljjj. Give prob of sequence jj.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.9 - -7. Let v(d) = 3 - 1 + 5*d - 3 - 8*d**2 + 7*d**2. Let t be v(2). What is the second biggest value in u, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = 8. Suppose 3*i = 3*i - 4*i. Suppose o - 18 - p = i. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 12:54 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {l: 3, w: 2, i: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 396*w**3 - 27165*w**2 - 151542*w - 197640 = 0. What is w?\nAnswer: -45, -4, -2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 194051, 388091, 582145, 776219, 970319, 1164451, 1358621?\n\"Answer: q**3 + q**2 + 194030*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0.01, 2 in increasing order.\nAnswer: 0.01, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/7))\/b**(-8)*b**(1\/15)*b*b*b**(-4\/3))**(1\/3))**(-16\/9) assuming b is positive.\nAnswer: b**(-16592\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 63 = -2*f. Suppose 0 = 3*a - 3*t - 13 - 116, 4*a + 4*t = 140. Let m = f + a. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 4*w - 1, -2*p + w = 0. Let r = p + 23. Let c = r + -18. Solve -c*f = -2*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132096046*i*z**3 + 99*i*z**2 - 532869*z**2 wrt z.\nAnswer: 792576276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/47579 - 278664\/618527. Let k = d - -2\/91. Which is smaller: 1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/21*-3*(-1)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a - a + 5*a)*(-3*a + a + a) + 3*a**2 - 6*a**2 - 23*a**2)*(a**3 - 13*a**3 - 66*a**3).\nAnswer: 2106*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41829 + -2548. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12320 - -41540?\nAnswer: 25220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*y = u, 0 = u + y - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:14 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 563, -600, -1779, -2974, -4185, -5412, -6655?\n\"Answer: -8*o**2 - 1139*o + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5870 = 2*p - 3760, s + 4*p + 3224 = 0. Which is smaller: -3210 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/8 + -2)*20\/6. Suppose -5*b = t*q - 1235, -b - 349 - 376 = -3*q. Let p = q - 113. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6373 is divided by 575.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 581 = -d + 2*f, -2333 = -4*d + 5*f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*j**5 - 74*j**2?\nAnswer: -18900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3581778 is divided by 115541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - 42194?\nAnswer: -421c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 1497*o**2 - 23182*o - 957. What is k(483)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3892, 4696, 6092, 8080, 10660, 13832, 17596?\n\"Answer: 296*g**2 - 84*g + 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 65136584?\nAnswer: -26054633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-4))\/24)\/(1\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u. Let l(o) = -22*o**2 + 551. Give l(h(f)).\nAnswer: -2200*f**2 + 551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*s*x + 15411756*f*s - f*x - 2*f + 2567*s*x + 10599*s wrt f.\nAnswer: -s*x + 15411756*s - x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -65660\/13 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4. Let a(b) = -b + 11. Give -6*a(z) + 17*t(z).\nAnswer: 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*j + 486*j - 164*j + j**2 - 158*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170744457.\nAnswer: 3, 13, 433, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/3 - 3544*h\/3 + 3542\/3 = 0.\nAnswer: 1, 1771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4576 and -59\/468.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16529 - 57573 = -3*h + 4*q, 0 = -h + 2*q + 13678. Is 129 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 12. Let n be 0\/(-3 + 7 + y). Sort n, 2, 0.4 in decreasing order.\nAnswer: 2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + d - 2 + 5*d - d - 3*d + (2*d + 2 - 2)*(-9 + 3 - 17).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69321 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - 0*u. Suppose 6*t - u = 4*t. Solve t + 2 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 = 19. Let s be (-9)\/(-6) - w\/(-6). Let q = 10 + -8. Sort q, s, -5 in decreasing order.\nAnswer: s, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 476 + -573 - (7 + -173)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 26 = 4*l, -22 + 18 = -3*s + l. Let w(o) = -2*o**2 - 4. Give w(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.484 - 0.482048. Round d to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10670 and 1164?\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662, 3009, 6916, 12383, 19410, 27997?\nAnswer: 38144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/1)\/((-2)\/(-6)). Let h(l) = -5*l + l**2 + 4*l**2 + 0*l**2 + 8*l**2 + 4 - 2. Let r be h(d). Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 19 - 49 = -5*y, 3*s = -5*y + 89. Solve -2 = -7*m - y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n - 1. Let s be v(1). Let m = 9 - s. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 1.4\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -81*i + 287. Let w(o) = -81*o + 255. Give -5*s(b) + 6*w(b).\nAnswer: -81*b + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12401 - 2?\nAnswer: -12403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 69 = 24*u. Calculate the remainder when 26 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9987, -10025, -10057, -10083, -10103, -10117, -10125?\nAnswer: -10127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-1\/37)*s*s*s*s*s\/(s*s**(-1\/9)*s) assuming s is positive.\nAnswer: s**(1693\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.670493ns to minutes.\nAnswer: 0.00000000047784155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.707 + 0.71219. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9249 (base 12) in base 3?\nAnswer: -210210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 8902327.\nAnswer: -8902314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 - 2*s - 11. Suppose 3*y = q + y, 0 = -2*q + 2*y + 6. Let d = q - 15. Is t(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8680 divided by -5?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 17. Let b(m) = -m**3 + m + 3. What is the remainder when b(r) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {m: 3, i: 4, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6511744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*g**2 - 36705*g + 407*g**2 + 36705*g as c + i*g**2 + r*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 333, -5.\nAnswer: -5, 0, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = -5*h - m, 4*h + 5*m - 408 + 13 = 0. Suppose 5*p - 5*k - h = 0, 2*p + 2*k - 14 = 6. Calculate the highest common factor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-1\/5)\/h*h)*h*h\/(h*h*h**(-2\/27)*h))**26\/(h**(-8\/9)\/(h\/(h*h\/h**(-4)*h)))**(-9\/11) assuming h is positive.\nAnswer: h**(55402\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 9*o**5\/5 - o + 1. Find the first derivative of f(l) wrt l.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(3\/7))\/p)\/(p**17\/p) assuming p is positive.\nAnswer: p**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210211 - -3?\nAnswer: -210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(28\/(-56)*3*2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*13\/(-702))\/((-2)\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786*m = -398*m - 372*m - 3664. Calculate the smallest common multiple of m and 1374.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289706 greater than or equal to 19289706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1137 divide 5314122485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 32*z + 18. Let g(j) = -34*j - 17. Let i(s) = 4*d(s) + 5*g(s). Is i(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyd when three letters picked without replacement from dydd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1564 + 1565. What is the nearest to v in -1\/10, -2, 3, 11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-212 - -85) + 149 - (-1 + 53)) + (-3 - -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 902298722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -69, -104, -137, -168, -197, -224?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 32\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 + 5*d**4\/24 - 13*d**3\/6 - 206*d**2. What is u(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.84 + 594.84. Let i = -588.00884 + w. Round i to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15231 by 99.\nAnswer: -5077\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 3, l: 3, y: 1, k: 2}. What is prob of picking 2 k, 1 l, and 1 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a - 4d4023?\nAnswer: -4d3dd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 2, s: 7, i: 3}. Give prob of picking 2 i and 2 y.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385831 divided by 7.\nAnswer: 385831\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697206 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -78 * 16957\nAnswer: -1322646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 5168*l + 1. Calculate z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 569\/4, -4\/5 in descending order.\nAnswer: 569\/4, 1\/13, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8 - (-28)\/(-8)*27392\/(-1792).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7728)\/672*1*-2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/26562 and -25\/267018?\nAnswer: 5073342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 2557*j**2 - 4*j + 19*j**2 to the form h + l*j**2 + a*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13590543 divided by -13590543.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, -1, 0.5, 463, -69?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 less than -271.6138?\nAnswer: -208.6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -17*a**5\/120 + 83*a**3\/3 - 44. Let g(y) be the third derivative of r(y). Let l(q) = q**2. Give l(g(c)).\nAnswer: 289*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c + 4. Let i(q) = -2*q + 1. Let f(b) = 20*i(b) - 5*v(b). Let j(x) = -11*x**2. Give j(f(r)).\nAnswer: -275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + -118. Let t(d) = 2*d**3 + 3*d**2 + 9. Is t(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 5*k**2 - 5*k + 9. Let l(h) = -2*h - 3. Let t be l(-4). Suppose -t*w - 167 = -457. What is the remainder when w is divided by c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 + j**3 + 7 + 9 - 11*j**2 + 9*j. Let n be v(10). Suppose n*l + 0*l = -4*u + 33, -5*u - 4*l = -40. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 14 + -27 + 13 + 15.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 + 8 - 11 + b**3.\nAnswer: b**3 + 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 4)*(-3981*c**2 + 3981*c**2 - 800*c**3).\nAnswer: 8000*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, o: 3}. Give prob of picking 1 w and 3 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 80 = -z, 9*i - 4*i = 5*z + 115. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 - 2*r**2 + r + 1. Let i(k) = -9*k**3 - 5*k**2 + 2*k + 4. Give -5*c(a) + 2*i(a).\nAnswer: 2*a**3 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 546 - 379. Let t(b) = -140 + 9*b**2 + 5*b + k - 13*b + b**3. Is t(-8) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*t**3 - 9*t**3 + 28*t**3)*(3*t - t + 2*t).\nAnswer: 288*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 1. Let a be c(-2). Let g = -232 - -365. Suppose 4*q - g - 47 = 0. Calculate the greatest common divisor of q and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ske when three letters picked without replacement from seeek?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -278. Let y be ((-22)\/693*d)\/((-4)\/3). Solve -4\/7 + 8\/7*a - 5\/7*a**2 + y*a**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4466 and 5\/2002?\nAnswer: 58058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24335*t**2 - 5*t**3 + 3 + 24335*t**2 + 7.\nAnswer: -5*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let c(w) = 2*w**2 + 4*w - 1. Let u be c(o). Let b = 19 + -19. Sort u, b, 9 in ascending order.\nAnswer: b, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4898 or -4873?\nAnswer: -4898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -146*b - 115 + 15. Is b bigger than 8\/515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6641 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 - b + 12. Suppose 0 = -4*u + 4*j + 4, 4 = u + u - 4*j. Let v be (-1 + u)\/(-1) + -1. What are the prime factors of o(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 11201.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-39) + 840\/(-624). Suppose 2*n = 3*z - 407, 3*n + 70 = 5*z - 539. Let r = -1876\/9 - n. What is the third biggest value in -2, r, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118118789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5837 take away 573?\nAnswer: -6410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzhxx. Give prob of sequence zhxh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -2*t. Let g = t - -1. Let w be 0*-16*3\/432. Solve g = -w*l + 3*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -327. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 4 + 4 + (6 - 2 - 2)*(-3 + 2*q + 3) - 2*q + 5*q - 4*q + 4 - 4 + 2*q - 2 + 2 - q - 5 + 5 + 19*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (348\/20 - -5) + 9\/15. Let f(p) = p**3 + 2*p**2 - 9*p + 3. Let s be f(6). Let o = -168 + s. What is the highest common factor of o and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**3 - 3*h**2 + 11*h - 36. Calculate b(4).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 262, 580, 1014, 1558, 2206, 2952, 3790?\n\"Answer: -n**3 + 67*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 926758 and 8904?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1961, 25302, 91421, 221708, 437553?\nAnswer: 760346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 5. Let i = p + 6.8. Which is the third smallest value? (a) 5 (b) 8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/(-161)*(-35)\/(-60)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 6. Suppose 6 - 18 = 4*l. Are l and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13818 and 420?\nAnswer: 138180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2280, -2276, -2254, -2208, -2132, -2020, -1866?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 4*x + 32, -25 = -5*q + x. Suppose -3*m - 3*a = 2*m - 7, -12 = -4*m + q*a. Solve 4 = -m*v + 3*l - 1, 4*l = 2*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*y = 131 - 811, 4*i - 2*y = 1352. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/87)\/((-6)\/16*2*16\/504).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + c)*(2*c**2 + 2 - 2 + (-7*c + 0*c + 2*c)*(2*c + 0 + 0)).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -34?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**3 - 13*k**2 - 7*k - 7. Let h be s(9). Solve v - 5*q - 11 = -h*v, 0 = 4*q + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**9\/120960 + i**7\/10080 - i**5\/30 + 2*i**2. Let b(l) be the third derivative of f(l). Factor b(m).\nAnswer: -m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*t + 2, -4*t + 44 = 83*b - 87*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28928 or 28925?\nAnswer: 28925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28516332.\nAnswer: 2, 3, 13, 53, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56755 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4835\/4 - -1194. Let s = 73\/4 + i. Which is smaller: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152192279.\nAnswer: 17, 8952487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + 17*f + 37. Let o be g(-6). Let l be ((-50)\/(-4))\/5*2. Suppose 4*s - 7*s = -15. Solve -s*h + o = -13, -11 = -l*d - 4*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 10*s - 4. Let g be i(-10). Let b(y) = -4*y - 6. What is the tens digit of b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/50)\/(2\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 5:00 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3)*30\/(-8). Suppose 14 = 5*s - 2*v, -s + v + i = 3*v. Solve 2 = s*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from qvgvvtqtqqqvgvqtvvv.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251 = -99*w - 40*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64072971.\nAnswer: 3, 67, 35419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 4*n = 98, r - 121*n + 27 = -122*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mccw when four letters picked without replacement from {w: 3, m: 3, c: 12}?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -6\/11, 15, -0.2 in descending order.\nAnswer: 15, -0.2, -6\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 3 (c) -0.03 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 342?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -2.4, -11\/4, -5, -1523, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 28*q**3 - 2*q**2 + 0*q**3 + 8 - 7. Let m be l(1). Suppose 4*d + m - 107 = 0. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723039877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 4*r**4 - 4*r**4 + (-11*r**2 - 4*r**2 + r**2)*(3*r**2 - 2*r**2 - 3*r**2) - 2*r**4 + 0*r**4 + r**4.\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 1\/5, 11, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:59 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1784319 = 6*b + 1157481. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (-424)\/56 + 14 + (-200)\/(-7). Solve b*j - 15 = -5*p + 25*j, 3*j = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = 2*m, m - 13 = -4*b + 5. Suppose m*h - h - 129 = 0. Is (h\/9)\/((-2)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1904 or 1947?\nAnswer: 1904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*u + 4*u. Let b be 6\/u - 4 - -1. Let y = 0.2 - 0.7. Put b, -4, y in increasing order.\nAnswer: -4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 5, -1\/9, -0.4, -1 in descending order.\nAnswer: 5, 3\/4, -1\/9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7359240 divided by -6\nAnswer: 1226540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54046.\nAnswer: 2, 61, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ae + -2?\nAnswer: -6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/7 - 112155\/(-105). Suppose -1071*v + h*v + 70 = 0. What is the highest common divisor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/5)\/(56\/10 - 6). Let r(l) be the second derivative of -4*l + 0 - 3\/20*l**5 + 1\/3*l**x + 0*l**4 + 0*l**2. Find the second derivative of r(i) wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 2, h: 2, q: 5}. Give prob of sequence bt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373716 is divided by 27470.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 22. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/5 - 8*r**3\/5 + 6*r**2\/5 + 8*r\/5 - 8\/5 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -4 + -21 + 26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49*(-270)\/59535)\/(3\/162)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7447 + -7434. What is the third biggest value in j, -0.6, 2\/13, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-15)\/x))\/(x\/(x\/(x\/(x**(-5)\/x))*x)*x*x))**18\/((x\/x**(-13))\/((x\/(x\/(x**(-11)*x*x))*x)\/x))**(-13) assuming x is positive.\nAnswer: x**461","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -18\/5 (c) 1\/6 (d) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:47 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 5*i**4\/24 + i**3\/3 - i**2. Let t(a) = 9*a + 3. Suppose -4*g - k - 19 = -2, -4*g = -3*k + 29. Determine g*u(s) + 3*t(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20806 or 20883?\nAnswer: 20806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14375\/3422 - -126\/29. Calculate the common denominator of -31\/354 and n.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697606765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.4, 12, 2\/3.\nAnswer: -0.4, 2\/3, 3\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t - m + 11, 0 = -5*t - 4*m + 32. Suppose i + t = 12. Solve i = 2*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/107 + -519\/2354. Let l = -0.1 - -0.2. Is k less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0322 and 4.\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094.369 litres in millilitres?\nAnswer: 1094369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {h: 2, n: 17}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289415.\nAnswer: 3, 5, 67, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 6*l - 22, 3*t = -2*l + 20. Factor 4\/19*m**3 - 2\/19*m**l + 2\/19 + 0*m**2 - 4\/19*m.\nAnswer: -2*(m - 1)**3*(m + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15171255 and 0.4.\nAnswer: 6068502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0027 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 + 276716*a**2\/3 - 1595751872*a + 17542111488.\nAnswer: -4*(a - 34584)**2*(a - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/(-56) - (8 + -2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**3 - 6*y**2 + 9*y. Let z(i) = 3*i**3 + 2*i**2 - 3*i. Let a(f) = f + 1. Let g be a(3). Let p be 308\/(-42)*(-6)\/4. Determine g*v(w) + p*z(w).\nAnswer: w**3 - 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z - 7. Let f be x(-5). Suppose -f = a + 3*i, i - 4*i - 65 = 4*a. Find the common denominator of 86\/(-14) - 6\/a and -47\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*m**3 - 2)*(-6 + 4 + 0 - m) in the form i*m**3 + u*m**2 + l*m + w + p*m**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = -210. Let r be (-28)\/(-6) + 4\/(-6). Suppose r*y - 4*d - 28 = 0, -3*y - 2*y - 2*d = -a. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:10 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 19*a + 4 - 4 - 1 + 58*a.\nAnswer: 77*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(11\/5)*i**(1\/7)*((i**(2\/7)*i)\/i)\/i**(4\/3) assuming i is positive.\nAnswer: i**(136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 1\/168*n**8 + 0 + 0*n + 12*n**2 - 1\/20*n**6 + 0*n**3 + 2\/105*n**7 - 2\/15*n**5 + 1\/3*n**4. Find r, given that h(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 2*f + 2. Let q be i(2). Let u be 2\/10 - 370\/(-25). Suppose -u = 3*h - 8*h. Put h, -2, q in decreasing order.\nAnswer: h, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -3*(-2)\/(-3). Let c = 2 - b. Suppose c = 2*y - w + 3*w, 2*y - 2*w = 20. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.57338mg to grams.\nAnswer: 0.09657338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y - 2*l - 20, 52 = -4*y + 2*l. Let q be (-6)\/y*4\/(-1)*-1. Suppose q*f - 4*h = 224, -2*f - h = -4*f + 218. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 7*w**3\/6 - 3*w**2 + 5*w - 18. Let o(a) be the first derivative of t(a). Let d(l) = 6*l - 5. Give -6*d(s) + 5*o(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(6\/4) - -3. Let b be 41 - 1\/(2 - k). Let t(m) = -m**2 + 9*m - 8. Let y be t(6). Calculate the greatest common divisor of y and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0093 - 39.3093. Let p = j + 39.26. Sort p, -3, -2 in ascending order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**4\/2 - 60*p**3 + 295*p**2 + 780*p + 845\/2 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147.2 - 26.8. Let i = -174.1 - u. Which is the closest to 11? (a) 1 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w**3 + 2*w**2 - 2*w**2 + 433085 - 433084.\nAnswer: -25*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78841959.2 + 78842418.200209. Let o = 459 - m. Round o to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*v - 83*v + 347*v - 88*v - 90*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58195 and 273980?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51752 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from ixixxixxxxxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1000101 (base 2) to base 8\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6259 is divided by 257?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let j = -13.6 + 7.4. Let n = -6 - j. Which is the nearest to -1? (a) n (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222854237 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: Solve 928 = -5*m - j + 879, 5*j = -2*m - 38 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 4*z + 82. Does 11 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 279389, 559510, 840365, 1121954, 1404277, 1687334, 1971125?\n\"Answer: 367*h**2 + 279020*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042913089 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021341 - -11401?\nAnswer: -1004440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 31*z = -46. Let r = 54 - z. Solve -6*p - 2*p = r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 9*m**2 - 9*m + 12. Let c be s(-10). Suppose -4*n = -4*r - 4, r + c*n = 7*n - 5. Solve -2*k + 0 = 2, r = 4*q + k - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/27 (c) -0.0804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbttbtvvdbbbttvtv. What is prob of picking 1 v and 3 b?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 1, -2*y - 862224 = -2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + g = 296, -4*f + 800 = -3*g - 377. What is the remainder when f is divided by 78?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/100)\/((-5)\/(-2) - 2). Factor -2\/5 + q*w - 1\/5*w**3 + 2\/5*w**2.\nAnswer: -(w - 2)*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - l + 14, -3*l = 5*u - 0*l - 26. Suppose 0 = -x - 12 + 16. Solve 10 = -u*d - 7*o + 4*o, -x*d - o = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-969)\/(-85)*1\/((-9)\/(-15)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234.65 - 251. Let q = a + 3.43. Round q to 1 decimal place.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394060 and 10.\nAnswer: 394060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -k - 9 + 36, -2*k + 29 = p. Calculate the remainder when 58 is divided by (2 + k\/4)\/(2\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/(g*g**(-3)*g))**(41\/3))**(-2\/97) assuming g is positive.\nAnswer: g**(410\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158958177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 16) to base 3\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhdm when four letters picked without replacement from {d: 1, m: 3, g: 1, j: 4, h: 1, u: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*m**2 + 105132*m + 447100.\nAnswer: -4*(m - 6575)*(4*m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43111652 bigger than 43111652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 3*q + 3*q)*(-25*q - 19*q - 2 + 64*q) to y*q**2 + n*q + g and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 5.465577.\nAnswer: -27.327885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1015, -1478, -1941, -2404?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w\/(w\/(w*w\/w**(-4\/5)))*w))*(w*w*w*w**2)\/w)\/(w\/w**1)**(14\/11) assuming w is positive.\nAnswer: w**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -a + 28, 211*b + a = 208*b + 41. Calculate the highest common factor of 247 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/7)\/((d\/(d*((d*d**(5\/3))\/d)\/d))\/d*d))\/(d*d\/((d\/d**(2\/3))\/d)*d)**(-45) assuming d is positive.\nAnswer: d**(3470\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/s**47)*s\/s**35*s\/(s*s*s\/(s\/((s\/(s*s**(-18)*s))\/s))*s)*s**(-19) assuming s is positive.\nAnswer: s**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 - 27*u**2 + 33*u**2 - 29*u + (1 - 5 + 2)*(0*u**2 + 4*u**2 - u**2 + 2 - 2 + 2*u**2 + (2*u - 2 + 2)*(2*u - 1 + 1)) as j*u**2 + d + y*u and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3228 (b) 0.5 (c) 60\/263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.8 in 41, 0, 15, 3\/2, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1975 and 14483079131?\nAnswer: 14483077156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295 in -0.4, -52, 0.5, 0?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 3 = 8*u. Suppose -2*h + p = -u*h + 6, -3*h - 10 = -4*p. Solve -3*o = -2*o - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -744.354764 to 2 dps.\nAnswer: -744.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2*6\/(-18))\/((-2)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -380653, 0 in decreasing order.\nAnswer: 0, -3, -5, -380653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*k - k - 3 = 0, 3*k + 9 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/25119 + -133970\/25119. Calculate the common denominator of 10\/3*(-18)\/(-22) and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1\/3 (c) -81 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-780)\/48) + (-22)\/24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(133) - sqrt(133)*2 - sqrt(133)))\/(sqrt(21)\/sqrt(12))*-5.\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f - 88 = 0. Calculate the smallest common multiple of 8 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4095*o. Let k(r) = -8*r. Let m(s) = c(s) + 525*k(s). Let t(x) = -2*x. What is m(t(f))?\nAnswer: 210*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 4 + 2 - 10*b + 5*b - b**2. Let a be k(7). Suppose -18*w + a = -15*w. Solve -w = -g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times -0.069?\nAnswer: 0.1863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -24374 smaller than -24373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10768673?\nAnswer: 673, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230531024*b**2*x**2 - 7*b*x**2 - 10456322*x**2 wrt b?\nAnswer: 461062048*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c1 + 76df?\nAnswer: 7aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/5 - 12481*l**4\/5 + 162443*l**3\/5 + 261541*l**2\/5 - 10404758*l\/5 + 34283536\/5 = 0. Calculate l.\nAnswer: -12494, -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 1, l: 2, y: 1, o: 2, d: 1}. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(12\/(-2))*(-28)\/(-12)*-3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414457297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123044784*a**2*d + a**2 + 156827*a + 86 wrt d?\nAnswer: -123044784*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12*4*-3. Let q(m) = m + 2. Let t be q(-4). Let p be t\/4 - (-10)\/4. Is z bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 7*o**3 + 6*o**3 + 5*o**3 + 19*o**3.\nAnswer: 37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021120 + -10?\nAnswer: 111021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 12. Let v = l + -3. What is the remainder when 10 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445) - (sqrt(5445) - ((sqrt(5445) + sqrt(5445)*-2)*5 - sqrt(5445)))) + sqrt(5445))\/(sqrt(225) + (sqrt(225) - sqrt(225)*2 - sqrt(225))*6) + -4.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 52 - (-7 - (-78 + 6)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g, -5*g = 2*b + 14 + 2. Calculate the greatest common factor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from nisggzfi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(((-2366)\/(-273))\/((-10)\/3))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 1.5. Let y = f + -10. Let g = 3.1 - y. What is the closest to 0 in -3, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 1092, 1680?\nAnswer: 2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of (17\/4)\/((-1005)\/144 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207594 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 776925.6ml?\nAnswer: 776.9256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let w(o) = 7*o**3 - o**2 + o + 1. Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -38*u**3 + 714*u**2 + 916*u + 4. Determine m(20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 202.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5*u + 5*h + 34134 = 0, -2*h + 68220 = 4*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w - 2 - 948*w + 2 as d*w + u and give d.\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -139, -280, -421, -562, -703, -844?\n\"Answer: -141*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 13*m**2 - 14*m - 17. Let q be w(-12). Suppose i + 0*i = q. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.7*-0.3\nAnswer: -3.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 24. Let r = -46 - -46.4. Which is the third smallest value? (a) l (b) -0.104 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259013443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12551 is divided by 2068?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u - 238*u = 486 - 2598 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u + 230*u + 32*u**2 - 83*u - 75*u.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -5. Let z = 2 - y. Which is the third biggest value? (a) 1\/2 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*z + 217 = -150, -3*i + 4*z + 217 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386, 786, 1198, 1628, 2082, 2566, 3086?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntvdviunnndd. What is prob of sequence vtv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, n: 4, f: 3}. Give prob of picking 4 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 184374 = 52186. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-621)\/(-4) + -3 + (-22)\/(-8). Let w be ((-6)\/(-9) - j\/(-15)) + -1. Suppose -w*i + 101 = -459. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*o - 65, 3*g - o - 2*o - 9 = 0. Let s = 14 - g. Let d(c) = -8*c. Calculate the lowest common multiple of s and d(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.1, 63, -0.05, 0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40391 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5\/4 - 3285*v**4\/4 + 6595*v**3\/4 + 3285*v**2\/4 - 3295*v\/2 = 0. Calculate v.\nAnswer: -659, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381 * -20679.\nAnswer: 7878699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a = 461*a + 6391 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2268910 and 1588237?\nAnswer: 15882370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4736, -9520, -14304?\nAnswer: -19088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -305, -400, -567, -812, -1141, -1560, -2075, -2692?\n\"Answer: -n**3 - 30*n**2 + 2*n - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -465*h**5 + 1408*h**5 + 583*h**5 + h**2 - h**2 + h**5 + (3*h + h - 6*h)*(-h**4 + 6*h**4 - 4*h**4).\nAnswer: 1525*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u - 122. Let i be y(-14). Solve 6*x - x - 3*r + 3 = 0, 0 = -i*x + 3*r - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -7 (b) -5 (c) 0.2 (d) -2 (e) 0.717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u + 7. Let v(l) = -976 + 976 + 7*l. What is the remainder when v(1) is divided by q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -16*o**2 + 110*o + 17. Let u be c(7). Solve 5*b + l - 18 = 5*l, 0 = 3*b + u*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2. Let z(n) = -7*n**3 + 24*n**2. Let k(v) = 6*t(v) + z(v). Determine m, given that k(m) = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-57)\/51 + 7680609\/(-1733490). Let c = 3\/1030 + v. Calculate the common denominator of -45\/23 and c.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/10, 6, 0, 0.2, 5\/6, -15.\nAnswer: -15, -2, -1\/10, 0, 0.2, 5\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 91.14535 years to centuries.\nAnswer: 0.9114535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78669900 - -123646900. What is g rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*54\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*r - 5*r + 360. Suppose r*u = 5*u + 126. What is the remainder when 121 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-2)*v)\/v*v)\/v**4)\/(v\/v**(-2\/5)*v)**(-5) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678015 and 6555.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -4)*0\/2. Let y(a) = -a**3 + a**2 + 4. Let d be y(v). Let n(m) = -d*m**2 + 6*m**2 - m**2. Let q(g) = 3*g. Calculate q(n(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**3 + 8*c**2 - 8*c**2)*(0*c**2 - 11*c**2 + 2*c**2) + (-5 + 5 + c**2)*(0*c**3 - 2*c**3 + 3*c**3).\nAnswer: 100*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/4 - (5 + -3). Suppose -19 + 13 = -p*k. Let z(h) = 2*h - 2. Let c be z(k). Solve c*q + 22 = -2*r + 6*q, -3*r = 4*q + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -232*s**2 + 67*s - 5. Let g(x) = 93*x**2 - 26*x + 2. Let u(d) = 2*c(d) + 5*g(d). Let v = -4 - 0. What is u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 22*v**2 - 2*v + 50. Let p be f(22). Solve p*o - 3*h = o + 5, -2*o - 9 = h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00234518 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 4*r + 0*r + 0 - 3 wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:00 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 8*a**2 - 4*a**2)*(-1477 + 3538 - 1702) to j + x*a**2 + y*a and give x.\nAnswer: 2513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357743 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + i - 1. Let j(o) = 5*o**2 + 2*o + 12. Let f(u) = 4*a(u) + j(u). What is the smallest common multiple of f(-6) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 32 = m - 4*d, 5*m - 3*d = 35. Solve -23 = 3*y - 2*r, y + 37 = -m*y + 3*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51820, -51853, -51882, -51907?\n\"Answer: 2*m**2 - 39*m - 51783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and 539.7797766234.\nAnswer: 539.5897766234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w - 2. Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from gzzzggzggggggg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/11142549 and -53\/378.\nAnswer: 155995686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 77*b**2 + 42*b. Let k(m) = 15*m**2 + 8*m. Suppose -3*a - 273 = 10*a. Let p(i) = a*k(i) + 4*t(i). Let r(x) = 2*x**2. Calculate p(r(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1765232, -1765250, -1765266, -1765280, -1765292?\n\"Answer: x**2 - 21*x - 1765212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121850304?\nAnswer: 2, 3, 43, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 1, e: 2, v: 1, p: 1, z: 2}. What is prob of sequence hev?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8723)\/6344*(-2)\/(-4)*(-16)\/44?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5350*n - 458087 = -126387 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1516 = 585*l + 645 - 884. What is g in -6\/7*g**2 + 3\/7*g**5 + l*g - 6\/7*g**4 + 12\/7 - 24\/7*g**3 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 13*f**2 - 29*f + 21. Let k = -176 - -247. What is the remainder when k is divided by c(15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 + z + 7. Suppose 2 = -h - 3*p + p, 6 = -2*h - 3*p. Let m be d(h). Is 166*m*(-2)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Suppose -k + 45 = -d*k + 5*x, 4*k + 5*x = -9. Let w(v) = -9*v**3 + 2*v + 2. Let p(n) = 8*n**3 - 2*n - 2. Calculate k*w(b) - 7*p(b).\nAnswer: -2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = b - 3*b + 665985, 0 = -3*b + 2*w + 998990. Round b to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, 2, -3, 15.9, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g = -29*g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 833*f**3 - 29. Let b(l) = -277*l**3 + 9. Give 7*b(r) + 2*t(r).\nAnswer: -273*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 180*g + 245*g - 473*g.\nAnswer: 4*g*(g - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-430)\/(-172))\/((3\/105)\/((-2)\/(-5))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(352)*1)\/sqrt(8).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10251 - -12499. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(186\/4 - 45)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40367\/3552 - (14 + -3) and -92\/15?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524783 to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i\/i**(-1))**(22\/5)\/(((i\/i**(4\/7))\/i)\/(((i*i**(2\/5))\/i*i)\/i)))\/((i**(-4)\/i)\/i**3)**(2\/83) assuming i is positive.\nAnswer: i**(80074\/2905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 12. Let a(i) = -2*i - 7. Let d(q) = 7*a(q) + 4*f(q). What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -16 (c) 2\/303 (d) -0.15 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 3*n**2. Let m be r(-2). Suppose -a - 65 = -4*q, m*q - 5*q + 3*a + 19 = 0. Suppose 15 = s - q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1) + -6*(-721)\/21. Let f = -206 + k. Solve f = p + p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - 1000?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least -315\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 9*j - 16. Let d be k(-11). Solve g - 17 = 3*o, -d = -4*o + 3*g - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1985125, -0.5, -0.3, -3.\nAnswer: -1985125, -3, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l. Let s(q) = -282*q**3 - 5*q - 1363. Let u(m) = -2*g(m) - s(m). Differentiate u(a) wrt a.\nAnswer: 840*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4015)\/(-198) + 4\/18 and -19\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/6 - 5*o**3\/6 + 7*o**2\/2 + 11*o. Let m be n(5). What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 493328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1359 and 2869.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 74*d**2 + 4*d - 138. Let v be g(37). Let h(f) be the third derivative of -1\/6*f**4 + 0 + 7\/3*f**3 - v*f**2 + 0*f. Differentiate h(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:44 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/5)\/y**(-6\/7)*(y\/(y\/y**(2\/9)))\/(y\/(y*y**4))*(y**(-3)\/((y**(1\/2)*y)\/y))**24 assuming y is positive.\nAnswer: y**(-24986\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.0016 - -38. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433 by 5.\nAnswer: 433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r - 6*r + 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*c + 3 - 4 - 96*c.\nAnswer: 254*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44103261*j + 44103261*j + 42*j**2.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947, -1891, -2835, -3779, -4723?\nAnswer: -5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -387428, -387423, -387418, -387413, -387408?\n\"Answer: 5*q - 387433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.3836 * -5\nAnswer: 36.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (327\/9 - (-836 + 879)) + (-4)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 7. Let g be q(4). Suppose 0 = g*z + 5*z - 1060. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -396\/13, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + g + 6. Let c be d(-6). Solve c*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Let z(a) be the third derivative of -a**5\/12 + 4*a**2. Calculate z(g(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25656 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: Is 589996801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 37*t = -3*n + 4771, 0 = -2*n - 6. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/(-21))\/((3\/10)\/(2240\/1600)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195619 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and -85.\nAnswer: 6290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 1942*b\/3 - 19220\/3.\nAnswer: -2*(b - 961)*(b - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2. Let a(p) = 2*p - 8. Suppose -3*t + 10 + 6 = n, 2*t = -5*n + 2. Let j be a(t). Let m(h) = 0*h**2 - j*h**2 + 3*h**2. What is m(y(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 10*o - 5*o + 39, -4*o - 13 = -i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/88)\/(1\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0. Let y = w + -0.2. Suppose 7*j + 8 = 5*j. What is the nearest to 2 in y, j, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, h: 8, w: 4}. What is prob of picking 2 g?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400489467 to the nearest integer?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 + 4 + 0. Find the second derivative of -2 - u + u**5 + y wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 293*t + 19587. Give k(-104).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -n - 4*n. Let v = -99 + n. Let r be (-10)\/(-55) - v\/11. Solve 0 = -r*y - 1 - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 99\/5. Which is the biggest value? (a) -5\/2 (b) 4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 36 = 4. Suppose y = j + 7. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqegzeeeeqoeqz. What is prob of picking 1 z and 1 q?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from dpngnpnndx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23158577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0*t + 11\/8*t**4 + 0 + 0*t**3 - 10*t**2. Let x(d) = -2*d**2. Give x(z(b)).\nAnswer: -2178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -20. Suppose -b = -2*r + 197. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -678 != -678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 295402.6l?\nAnswer: 295402600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -17*r + 51. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16286 a factor of 7989081014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/5, 2, 9, -326\/5, -2\/7, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -1.2987058446.\nAnswer: -6.2987058446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165\/4 + -41. Let z = 0.0804 + 4.9196. What is the nearest to g in 1\/2, -2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7))**(-48) assuming l is positive.\nAnswer: l**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 207 = -3*t + d, -2*d = -4*t + 276. Suppose 5*z = x + x + t, 33 = 2*z + x. Solve -10*o + 13*o = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -5 (c) -0.2 (d) 18\/5 (e) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n + 179. What is the remainder when r(0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -9*f. Let t be (3 + f)\/((-36)\/168). Is 16 a factor of (63\/t)\/((-3)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -17*l**3 + l**2 + 2*l - 1. Let y(o) = o**3 - o**2 - o. What is s(v) + 2*y(v)?\nAnswer: -15*v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3\/109, -1\/3, -3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 + 6574*a - 3914. What is m(-470)?\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-120 - -132)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*-2*sqrt(270) + (sqrt(270) - (sqrt(270) + sqrt(270) + (sqrt(270) - -6*(sqrt(270)*2 + sqrt(270)))) - sqrt(270))))\/(sqrt(1536)*-2*2).\nAnswer: 81*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.4, 5.36, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 8*j + 13*j + 5*j to the form a + o*j and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 - 119. Let w = 343 - z. Calculate the smallest common multiple of 16 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyzyy. What is prob of sequence yy?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -209*m - 1253. Let q be k(-6). Let w(r) = -3 + 3 - r. Let u(b) = 2. Calculate q*u(l) - w(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 1193, 0, 1.\nAnswer: -134, 0, 1, 1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*u + 15 = -0, -u = -3*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = 7. Is (0 - a)*(-89)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) -1.5 (c) -195\/188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:31 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(7\/3))**38)**(36\/5) assuming w is positive.\nAnswer: w**(-1824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -f - 47, 13 - 4 = -m - 3*f. Suppose 2*y - 1 = 3*y. Calculate the common denominator of 77\/20 and 1\/2 + (-31)\/m + y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -268, -261, -236, -181, -84?\n\"Answer: 2*f**3 - 3*f**2 + 2*f - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d**(-4))**27*(d**(-1\/4)\/d)**0\/((d**(-1\/3)\/d)\/d**(1\/3)) assuming d is positive.\nAnswer: d**(572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*c = -194*c + 32 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -l - 1 - 9, 5*l = b - 26. Suppose -b*a = -a - 460. Let y = -77 + a. Calculate the remainder when 25 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1490 (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 179319138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-8 + -2)*(-4)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 6*p + 2*p + 6*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n - 3*n)*(5 - 1 - 2) + 10831 - 5416 + 107*n - 5418 to u + h*n and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 13513*j - 13550*j as c + q*j and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 + a**5\/15 - a**4\/6 + 2*a**3\/3 + 4*a**2. Let g = 796 + -793. What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6630 + -6631.9547. Let r = d - -1.94. What is r rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 6, -2.\nAnswer: -3, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 915, 1356?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 424*y - 4757. Is a(16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 12) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149 + 149 + 88*q)*(-q + 0*q + 0*q) to z*q**2 + a*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c. Let d(r) = 19*r**2 - 93*r. Let v(g) = 5*g**2 - 22*g. Let k(m) = 4*d(m) - 15*v(m). Calculate k(j(y)).\nAnswer: 9*y**2 + 126*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 - 5*y + 3. Let h be ((-2)\/6)\/((-3)\/45). Is q(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 27*p**2 - 2133*p + 84440. Calculate z(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 831322727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vot when three letters picked without replacement from ovowt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 1. Let y(x) = -2*x**2 - 6*x + 6. Determine 6*p(m) - y(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -344 (base 6) to base 13\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 21*k**4 + 30*k**3 - 6*k**2 - 33*k - 15.\nAnswer: 3*(k - 1)*(k + 1)**3*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 k when three letters picked without replacement from bkfkkuftobobuou?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13880 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11 + 9*u - 26 + 6. Let m(i) = -10*i + 31. Let x = 10 - 12. Let f(d) = x*m(d) - 3*z(d). What is the first derivative of f(n) wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-7 + -5)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183118, 183120, 183122, 183124, 183126?\nAnswer: 183128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1348 - 192a?\nAnswer: -3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a + 39. Let b be 3*(-2 - -1) + (-108)\/(-6). Let t(j) = -3*j - 10. Let w(g) = b*t(g) + 4*l(g). Give w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1557452\nAnswer: -467235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 + 84*x\/13 + 160\/13.\nAnswer: 2*(x + 2)*(x + 40)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 6. Let h(j) be the first derivative of 2*j**3\/3 - j**2\/2 - j - 10. Let o be h(d). Do o and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f**2. Let p(m) = 2*m**2 - 3*m - 3. Let l(i) = 0 - 7*i - 4 + 2*i**2 - 3 + 4*i**2 - i**2. Let v(b) = -3*l(b) + 7*p(b). Give v(z(c)).\nAnswer: -441*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295667.\nAnswer: 37, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2201219558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + r**2 + 7*r. Let u be i(7). Suppose 3168 = 144*n + 54*n. Calculate the greatest common factor of n and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*p + 5)*(-p - 3*p + 6*p) + 1363*p**2 + 1251*p**2 - 103*p**2 - 40*p**2.\nAnswer: 2467*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y - 3. Let t be n(6). Let w = t - -9. Suppose w = -5*o - 3*g + 14, 3 + 5 = 4*o + 4*g. Solve 0 = -o*l - 16, -3*l - 21 = -q + 2*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 255*l - 258.\nAnswer: 3*(l - 86)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xrrxxrx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*j - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99252 by 6.\nAnswer: 16542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34596654?\nAnswer: 2, 3, 5766109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1755 and 1134855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = f, 8*f - 4*c - 6 + 2 = 0. Solve -32 = -8*o - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135861*b**2\/7 + 135867*b\/7 + 6\/7 = 0.\nAnswer: -1, -2\/45287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*t - 2000 = -206*t - 180*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -e895e (base 15) to base 8\nAnswer: -2641110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3 + 39. Let d = u - -62. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(3*r + 4*r - 5*r) - 2 + r + 2 + 6 + 7 + 2*r - 3.\nAnswer: 7*r + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z - 2*z + (3*z - 3*z + 2*z)*(3 - 2 + 1) - 2 - z + 2)*(-z**2 + 123*z - 123*z) + 5*z**3 - z**3 - z**3 + 2*z**2.\nAnswer: 5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 50*m - 48. Let l be w(26). Solve l - 7 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16975 - 10694 + 1377 = -939*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 204 = -4*p - 35*s, 2*p + 4*s - 96 = 0. Calculate the remainder when 723 is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5 - 508*w**4 - 18876*w**3 + 1708508*w**2 - 1689128*w = 0.\nAnswer: -62, 0, 1, 49, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 11. Let h be x(0). Suppose -2*o = -2*j + o - 4, h = 5*j + 3*o. Let k(v) = -2*v + 10*v**3 + 0*v - 2*v**3 + 1. Give k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5319*i**4*n**3 - i**3*n**3 - i**2*n**2 - 3*i**2*n + 526*i*n**3 + n**3 wrt i?\nAnswer: 127656*i*n**3 - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**(-33)\/(d**(-7)*d**1\/d)*(d*d**(-1))**9*d**(-1\/3)\/(d**(-4\/7)*d) assuming d is positive.\nAnswer: d**(-562\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.200428 months to centuries.\nAnswer: 0.02183369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/84 and -105\/5032?\nAnswer: 105672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016896947 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + 183. Which is the nearest to -0.1? (a) g (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 + 2586920*x = 0. What is x?\nAnswer: -517384, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 + 5*p - 2. Let f be z(-4). Let x = 1\/461 + 2291\/6454. Find the common denominator of 60\/(-22)*f\/(-8) and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 12:50 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 10, -11.\nAnswer: -11, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, 3, 22.\nAnswer: -40, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 0 = 3*g - b*g. Suppose g = 2*l + 3*l - 20, 0 = -5*f - l + 54. Solve 4*n + n + f = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -450*a**4 - 11434890*a**3 - 158476442*a**2 + 21282658*a - 711116 = 0. Calculate a.\nAnswer: -25397, -14, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -29. Let s = -119943 - -119927.0053. Let u = s + x. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/14)\/(12\/(-21)). Let h be (-2)\/11 + -62*10\/220. Which is the third smallest value? (a) -0.5 (b) -2\/11 (c) o (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.1 (c) 0.04 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 6\/17 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/25, -2\/11, -18\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - (-629)\/(-17))*(2 + (-52)\/25). Determine y so that 8\/5*y**3 - o*y**2 + 0 + 0*y = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(2*r - r - 4*r)*(-4 + 4 - 2) - r - r - 2*r - 5 + 5 + 4*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292968*n - 292968*n + 3703*n**3 - 5*n**2 + (-5 + 5 + n)*(0*n + 2*n**2 + 0*n) to r + s*n + o*n**2 + h*n**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from kkkekkkkkkkkzkg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*t - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((7 - -4) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-4 - (0 - (-50)\/(-30))). Put 2\/7, -98, b in decreasing order.\nAnswer: 2\/7, b, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 36*c**2 - 38*c + 109. Give o(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 39*n - 200. What is the smallest common multiple of m(-11) and 1134?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55624920641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123303 - -101100233?\nAnswer: 33310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/185 and -97\/5273840.\nAnswer: 195132080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04293 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 507*r - 4071. Let j be g(8). Put 5, 0, 11, j in ascending order.\nAnswer: 0, 5, 11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d + 2*l - 40, d - 4*l - 70 = 0. Find v, given that -2 + 1 - 40*v - 2 - 5 - d*v**2 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 2. Let n be z(2). Suppose 2*o - n*o = -224. What is the highest common factor of o and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 - (-11 + -6) - -327910 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 701*m**3 + 17*m**2 - 9840*m?\nAnswer: 4206*m + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4 - 6. Let y(o) = o + 7. Let q = -18 + 28. Let j be y(q). Solve 0 = b - 1, j - 3 = x*c - b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49450 and 5.7?\nAnswer: -281865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 120 = 0, 42*y - 56 = 88*y - 41*y + 13*k + 189 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3926, -3927, -3928, -3929, -3930, -3931?\n\"Answer: -n - 3925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -244?\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, 0.2, -40.8?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 12*c**2 - 7*c + 80. Let o be h(-12). Sort o, 0, -1 in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 + 3975*y**3 - 176745*y**2 - 7090975*y + 7263750 = 0.\nAnswer: -26, 1, 75, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/30 - 12*n**2. Let x(a) = -3*a**2. Determine -5*h(t) + 3*x(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 9*z - 15, 3*x + 4195*z - 4196*z = -71 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, 4, -5, 0.124?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-119785\nAnswer: -119785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -255, -498, -725, -930, -1107, -1250, -1353, -1410?\n\"Answer: k**3 + 2*k**2 - 256*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6*v + 14. Let m be c(-7). Is 14 a factor of (-90)\/m*42\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3 - 2*y**2 - 119*y + 150. What is the units digit of o(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-7 - 3 - (-2 - -1)). Sort f, 2, 3 in decreasing order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*i + 21, 0*i + 3*i = 5*q + 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Suppose -19*h + 4 = -17*h. Let r(p) = -2*p**2 + 0*p**2 + p**h. Give r(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -9 (c) -4 (d) 0.078 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*k**2*o**5 - 5*g**3*k**2 + 3*g**2*k**3 + 26*k**3*o**2 + 2*k*o wrt o.\nAnswer: 20*g**3*k**2*o**3 + 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5711454 + 1841454 = 3*m. What is m rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(((1*sqrt(78))\/sqrt(2) - sqrt(39))\/(sqrt(36)\/(sqrt(108) + sqrt(12))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3806222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17523 - 2*v + 3*v - 155313.\nAnswer: v - 172836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 8 = -q + 4*k, 0 = k + 4. Suppose -q = -4*w, b = -w - 3*w + 46. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (-2*sqrt(76) + sqrt(76))*-5))\/(4*(sqrt(4)*1 + sqrt(4))).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*(12 - (-30)\/315*-119)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102578 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 51*a**2. Let z(x) = 2150187*x. Calculate z(u(s)).\nAnswer: 109659537*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1036, -1836, -2636, -3436?\n\"Answer: -800*z - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 7*l - 5. Let m(b) = -b. Let d(v) = -15*m(v) - 5*p(v). Let w(q) = q - 1. Let f(u) = d(u) + 25*w(u). Factor f(k).\nAnswer: -5*k*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36763 - 17234 = 439*c for c.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 287*b + 2550. What is o(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*w - 5*u, -8*u + 3*u = 4*w + 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 182586.76.\nAnswer: -36517.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(4\/3))\/u)\/u)\/u)**(2\/7)*u*u**35*u**(-12)\/u assuming u is positive.\nAnswer: u**(463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwkxkkkwkw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240846 is divided by 60211.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 23. Solve 0*b = l*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2. Let q(h) = h + 1879. Determine q(b(r)).\nAnswer: -3*r**2 + 1879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2. Let t(o) be the third derivative of -49*o**5\/60 + 58*o**2. Calculate l(t(w)).\nAnswer: 7203*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) -37 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - 317. Let h = d - -360. Suppose 3*k - 2*k + 5 = 0. What is the nearest to h in 4\/3, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10552*t + 10548*t - 16*n - 28 = 0, 8*t - 2*n = 46 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*n - 2 = 2*n, 0 = 4*w - n - 15. Let p be 3\/2 + (-18)\/w. What is the third biggest value in -2, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 594, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkllkcclk. Give prob of picking 1 c and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66947560 and 20296.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*l - 301. Let a be (30\/(-12))\/((-2)\/l). Suppose 9 - a = -2*r. Calculate the greatest common factor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 11*w**9\/28 - w**6\/60 + 161*w**5\/60 + w**3\/2 - 509*w**2 - 2. What is the third derivative of g(t) wrt t?\nAnswer: 23760*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/64612 and 77\/20.\nAnswer: 323060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15602, -16146, -16608, -16946, -17118, -17082, -16796?\nAnswer: -16218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1)\/1*(-3)\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.49, 0.2, -1\/17.\nAnswer: -3.49, -1\/17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2099 - 2096. Sort 20, v, -29.\nAnswer: -29, v, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 5*a**2 - 3*a - 8. Let o be h(7). Suppose -5*c = 19 - o. Solve -5*l - 5 = -t, -4*l + c = -3*t + 5*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + 284. Suppose -s = 5*k - 246. Suppose 0 = -4*v + k + 29. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 42 = -8*c. What is the common denominator of -81\/14 and (-93)\/21*c\/120?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*y - 234*y + 2*q + 12 = 0, q = -5*y - 34 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19462 = 3*c - 7856, 4*c - 36418 = -5*y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122483 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -5*j**4\/12 - j**3\/6 + 10*j. Let s be (1 - -2)*(-2)\/(-6). What is u(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**2 + 1. Let o be f(-1). Let d = o + -11. Let s be 3*-1 + 35\/12. Is d at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 10. Let a be o(-5). Sort a, 1, -1 in ascending order.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.845 - -0.195. Let y = 3.0378 - m. What is y rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2, 0 = -16*i + 26*i + 5*w - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h**2 - 6*h + 6. Let z(p) = 11*p + 10. Let m(u) = -29*u - 27. Let k(s) = 3*m(s) + 8*z(s). Give 6*k(x) + r(x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from sbcbbbscbsbbbsqsbs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1100?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -26*o**2 + 24*o + 3. Let i(b) = -27*b**2 + 32*b + 4. Let q(j) = 3*i(j) - 4*s(j). Let c(g) = g**2 - 19 + 8 + 11. Calculate c(q(f)).\nAnswer: 529*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {g: 2, b: 2, i: 1, r: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196*p + 146*p - 496*p)*(4*p - 6*p + 5 - 1) to the form r*p + g*p**2 + t and give r.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) + 243000504\/81. Let k be -1 + 6 - -1 - w. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 15259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270470 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2. Suppose 4*z - 8 = 0, -3*q - 5*z - 74 = q. Let i be 21\/(-6)*12\/q. Let b(p) = -1 - i + p**2 + 3. What is b(j(r))?\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(15\/(-12) + (-2)\/(-4)). Let v = 347 + -342. Solve -k = 4*f - 4*t, -f = -v*f + 5*t - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 992, 979, 952, 905, 832, 727, 584?\n\"Answer: -p**3 - p**2 - 3*p + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/71484900 and -65\/1994.\nAnswer: 71484900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**22\/(((w*w**(-25)*w)\/w)\/w) assuming w is positive.\nAnswer: w**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3 - 469*o**2 - 7*o - 43.\nAnswer: 12*o - 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, -3\/2, -32\/7, 2, -23\/5 in descending order.\nAnswer: 2, 1\/5, -3\/2, -3, -32\/7, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = -j + 19*b + 206, 2*b + 1065 = 5*j. Suppose -218*c = -j*c - 119. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v - 1 - 5*v - 18*v - 9*v.\nAnswer: -20*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:06 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 80 = -2*w, -4*n + n - 15 = 0. Suppose 2*r + w = 4*y, -y = y - 5*r - 5. What is the remainder when 47 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -3\/10 (c) 0 (d) -37 (e) -5 (f) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-468)*(4\/(-16))\/(1\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 25. Let z = s + 161. Find the common denominator of -2 - 2*z\/12 and -45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15354.192 to the nearest one hundred.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 2, z: 6, t: 4, c: 2, f: 1}. What is prob of sequence cet?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-14)*(-2916)\/9720*1\/27.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/9 + 61*f**4\/3 - 4981*f**3\/9 + 513*f**2 + 4982*f\/9 - 1600\/3 = 0.\nAnswer: -1, 1, 32, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 12:17 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/85, -0.7, 8\/13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*(m*m**(-2)*m)\/m)\/m)\/m**1*m**(-1)*m*m\/m**3)\/((m\/(m**(-1\/4)\/m)*m)**33)**(2\/21) assuming m is positive.\nAnswer: m**(-185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*d - 297*d = -18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477183975 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1734, -2775, -3124, -2781, -1746, -19?\n\"Answer: 346*y**2 - 2079*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705 (base 9) to base 10.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**8\/40320 + z**7\/10080 - z**5\/15 + z**3\/3 - 44*z**2. Let b(x) be the third derivative of y(x). Factor b(j).\nAnswer: j*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 749*x + 731*x - 2.\nAnswer: -18*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 128 - 124 = 0. Sort 3, s, 4, -2 in decreasing order.\nAnswer: 4, 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*v - 13 = 7, -5*y = -3*v + 15. Is 220\/15*6 + y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863074 is divided by 287689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*x - 232*x + 173*x - 2 - 112*x + 2 - 7*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3.6. Let y = 2.5 - m. Let j = y - -0.54. Round j to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 1159\/9. Let n be ((-4)\/(-16))\/(6*1\/(-8)). Put v, -33, n in descending order.\nAnswer: v, n, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1116475236 * 3\nAnswer: -3349425708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*(-9)\/3. Let t be (-90)\/12*f\/(-3). Factor 5*h**5 + 3*h + 5*h**2 - t*h**5 + h**2 - 6*h**4 - 3*h**5.\nAnswer: -3*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -8, -17, -46, -101?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a - -1?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6847km in nanometers?\nAnswer: 12684700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9152 and 25\/12?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-3))\/n*n*(n*n**(-7))\/n)\/((n*n*n\/(n\/n**(-4\/3)))\/n**(2\/3)) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4430 (base 7) in base 13?\nAnswer: -953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 - 800*i**2\/3 - 12082*i - 129948 = 0. Calculate i.\nAnswer: -21, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -23*s**3\/6 - 30*s**2 + 5*s. Let f(t) = 6*t + 15. Let z(l) = -2*b(l) - 9*f(l). What is the tens digit of z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 5081195\nAnswer: -71\/5081195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 11008663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/38461, 0, -22?\nAnswer: -2\/38461","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2914 or 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18443512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 4.92?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)*a*a)\/(a**15\/a)*(a**0*a)**(3\/17))**(3\/8) assuming a is positive.\nAnswer: a**(-6531\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - sqrt(2448)*-4) + 5)**2 + -5 - (0 + sqrt(2057) + (sqrt(2057) + 4)**2)*-5.\nAnswer: 1095*sqrt(17) + 71585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214557, 429176, 643795?\nAnswer: 858414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/15 and 77\/4899?\nAnswer: 24495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 - -2)) + (3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/46 - (-1 - 700\/(-644))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - (-140 + 79 + 218)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h - 5070 = -162*h - 103*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -130. What is the remainder when 13990\/110 + (-6)\/33 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from {j: 2, v: 3, e: 1, k: 5, u: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -981, -3911, -8793, -15627?\n\"Answer: -976*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**2 - 8*c**2 + 6*c**6 - 3*c**2 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84650 - -1?\nAnswer: -8464a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:06 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/8 + w**3\/3 - 31*w**2\/4 + 14*w + 394. Let d(p) = 0. Calculate p.\nAnswer: -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7485 + 1121. Suppose -t - t + c = 3*p, 5*t - 21528 = -p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1*(-2 - 7). Let z(w) = w**2 - 10*w + 7. Let t be z(j). Which is smaller: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (23 + 9 + 15 + (-8 - -3)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-84) - (-20)\/7. Let g be -18*((-42)\/9 + d). What is the highest common factor of 120 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a4c - -9619?\nAnswer: 7bcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1629641.\nAnswer: 162964.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13596937 by 6.\nAnswer: 13596937\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976432.\nAnswer: 2, 61027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:16 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 1. Let w(v) = 2*v**2 - 12*v - 14. Give -6*h(r) - w(r).\nAnswer: -2*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, -23, 9, 2, 2.4, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 13. Let a(h) = -7*h + 13. Let k(b) = -12*b + 246. Let u be k(20). Let i(o) = u*c(o) - 4*a(o). What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**5\/a))\/a**5)\/(a**(2\/11)*a**(-6)*a) assuming a is positive.\nAnswer: a**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 32 = -5*y, 0 = 4*g - 6*g - y - 26. Let w be (-2 + 6\/9)*(4 - g). Round w to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g - 245. Calculate m(-34).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4460194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 + 71706?\nAnswer: 71993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*w = -2657 + 8117. Calculate the remainder when (-42)\/4*136\/(-6) is divided by w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 124\/40 + 6\/(-60). Solve a - 4 = -l*d, 5*a + d - 10 + 32 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 8*h**2 - h - 7. Let s be i(8). Let z(d) = d**2 + 15*d - 2. Let x be z(s). Does x = -18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 62*p**2 + p - 6. Let l(j) = -124*j**2 - 2*j + 11. Calculate -6*l(k) - 11*r(k).\nAnswer: 62*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 3. Let g(d) = -2*d - 2. Let b(n) = 5*g(n) - 3*u(n). Let s be b(-2). Let i(m) = 3*m**3 - m**2 + m. Let x be i(s). Solve 12 = -t - x*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 91, 66, 29, -20, -81, -154?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112391932.\nAnswer: 2, 59, 476237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47099?\nAnswer: 13, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scccbsbc. What is prob of sequence cb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 335*x**3 + 680*x**2 + 330*x. Let p(r) = r**4 + r**3 + r**2 - 2*r. Let h(o) = -b(o) + 5*p(o). Factor h(i).\nAnswer: 5*i*(i - 68)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -2, 0.4, -2.209 in descending order.\nAnswer: 0.4, 0.11, -2, -2.209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 61*y + 6346. Give j(-104).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7 - 2. Suppose 0 = 5*d + 5*q, -4*d + u = -2*d - q. Solve -8 = 3*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -158. Let z be ((-2)\/(-2))\/(1\/30). Let h = 5 + -1. Solve 4*c + z = 2*l, h*l - 50 + 15 = b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2012, 3872, 5732?\n\"Answer: 1860*h + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(1 - 1 - 2)*(3*j - j - 4*j)*(1553*j + 481*j**3 - 1553*j) as o + g*j**3 + s*j**2 + q*j**4 + f*j and give q.\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:44 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2012 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55858 or 4971432\/89?\nAnswer: 4971432\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/((c\/((c**2\/c)\/c))\/c))\/(c**2*c*c*c))\/(c**2\/(c*c**(-3\/4)\/c)))**6 assuming c is positive.\nAnswer: c**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/29263 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2265 and 70172871?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b - 2\/9*b**3 + 0 + 0*b**2 + 1\/18*b**4. Factor q(p).\nAnswer: 2*p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 0, 4*u + 84 = 2*h + u. Let z = 0 - -11. Calculate the remainder when h is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 18.7.\nAnswer: 2.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1355*z - 1372*z + 14008. Calculate the lowest common multiple of z and 206.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7305 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + 14*s - 23. Does 9 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*x**3 + 150565*x**2 + 3315848*x wrt x.\nAnswer: 534*x + 301130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/62)\/((2\/(-7))\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 i when three letters picked without replacement from {z: 3, m: 3, i: 3, h: 5, b: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2*o - 4*o + 9*o - 2*o**2 to c*o**2 + y + w*o and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 1*-2 - (-22 - -15) - -24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1113\/5274 - (-3)\/(-18). Let j = x - -40571\/3516. Find the common denominator of j and -61\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925.4523 decades in centuries?\nAnswer: 92.54523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42040, -42122, -42224, -42346, -42488?\n\"Answer: -10*p**2 - 52*p - 41978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -137621205\/31 at least -4439393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010593239121 to six dps.\nAnswer: 0.010593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwqdwwb. Give prob of sequence dd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:23 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-25) + -2 + (-6)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Solve 4 = 3*u - c*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31065 by 669.\nAnswer: 10355\/223","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 5 + 11 + -7 + -37.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -7*f + 297*p - 293*p, -6*f = -3*p - 21 - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289854*r - 1 + 289854*r + 1 - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26\/19, -10 in ascending order.\nAnswer: -10, -2, -26\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m - 4*x + 30, 2*x - 30 = -2*m. Let b be 3 - (2\/2 - 2). Suppose j - 40 = -b*j. Calculate the remainder when m is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(8\/89) + 0. Suppose -1 - 25 = -l + 2*i, 2*l - 34 = -5*i. Let h = l + s. Is h < -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129 + 3*n - 254 + 133 in the form h + w*n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325687.\nAnswer: 11, 19, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8721 and 404073?\nAnswer: 1212219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1129 + -56. Suppose -24*y + 103 = -b. What is the remainder when 440 is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*r + 68*r = -1840 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 2. Let y be 14\/(-6) - (-21)\/63. Give w(y).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 11*f**2 + f + 16. Let g be v(-11). Let a(h) = 15 - 17*h + g*h**2 - 2*h**2 - h**2 + 0*h**2. Calculate the remainder when a(8) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -2)\/(0 - (-1 + 2)). Let a(j) = -3*j + 13. Suppose 7*f = 3*f - 28. Let r(s) = -2*s + 9. Determine f*r(k) + l*a(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32141 = -48*y + 48107 + 44600. What is the greatest common divisor of 1836 and y?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 - 49371*s**2*y**3 + s**2*y - 3*s*y**3 - 4*s*y**2 + 23*s*y + 278*y - 1 wrt s.\nAnswer: -36*s**2 - 98742*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose -t + 5*t - 14 = -f, q*f = 4*t - 32. Is (-73)\/(-3) + (-4)\/f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 41 - 33. Calculate the remainder when h is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = r - 28343, 4333 = x - 4*r - 1344. What are the prime factors of x?\nAnswer: 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 127, 0.2, -1.2, 0.5, -117?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/5 - 3036\/(-92).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*h**4 + 83\/4*h**2 + 45 + 201\/4*h + 15\/4*h**3.\nAnswer: (h + 3)**2*(h + 4)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 497\/245 + (-6)\/14. Find r, given that 2\/5*r**3 + z*r + 8\/5*r**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 17. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -8582, -21631, -39900, -63389?\nAnswer: -92098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - 4*z**2 - 4*z. Let j(w) = 5*w**3 + 7*w**2 + 7*w. Calculate -4*j(c) - 7*l(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**2 - 11. Suppose 4*h + 0 + 8 = 0. Let m(p) = 2*p**2 - 2*p**2 + 2*p**2 + p**2 - 2. Let u(y) = h*v(y) + 11*m(y). Let j(b) = 2*b. What is u(j(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870543556 to the power of 1\/2, to the nearest integer?\nAnswer: 43250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 9*t + 60. Let a be (-16)\/t*75\/(-10). Let o(u) = -u**3 + 10*u**2 + u - 6. Calculate o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 + 30*i**3 + 93*i**2 - 264*i + 144 = 0. Calculate i.\nAnswer: -4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - ((sqrt(130)*3 + sqrt(130) - sqrt(130)) + sqrt(130)))*-3)\/(sqrt(110)\/(sqrt(11)*3)) - (-2*(4 + sqrt(208)*-6) + -2))**2.\nAnswer: -420*sqrt(13) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let g = 7 - t. Let z(a) = a**3 - 2*a**2 + a + 1. Let i be z(2). Sort -5, g, i in decreasing order.\nAnswer: g, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-11 - (-6950)\/630)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 + 264*f - 868. Let q(l) = -9*l**2 + 265*l - 870. Let m(v) = -7*j(v) + 6*q(v). What is the derivative of m(i) wrt i?\nAnswer: 4*i - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 70 = 5*g. Suppose -4*a - 63 = j, -g - 58 = 4*a - 5*j. Let t = 56 + a. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6929712799?\nAnswer: 1097, 6316967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/(s*s**(5\/3)\/s))\/(s\/(s\/s**(-3))*(s\/(s\/(s**(-9\/4)*s)*s)*s)\/s) assuming s is positive.\nAnswer: s**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62443, -124906, -187369, -249832, -312295, -374758?\nAnswer: -437221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203\/4 + -45. What is the common denominator of 0 + (-121)\/18 + 1 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070019 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 11 = -2*j, -4*z - 278 = -290 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 3*i. Let q(z) = -11*z**2 - 17*z. Let j(y) = y**2 + 3*y + 3. Let n be j(-3). Suppose -8*s - 30 = -n*s. Give s*q(m) - 34*f(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128713807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 8*r**2 + r - 4. What is p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -5, -0.3, -1076?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4781303 micrometers to nanometers.\nAnswer: 478.1303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0) + -1 + 6. Suppose -m = v*m - 10. What is the third derivative of 2*d**2 - 4*d**6 + 4*d**m - 2*d**2 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106627950.2 take away -63?\nAnswer: 106628013.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 189*q + 77. Let j(w) = 5*w + 2. Let o be (-4)\/30 - 9232\/60. What is o*j(z) + 4*f(z)?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43521 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 2*h**3 - 2*h**3 - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millennium in decades?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/(-75) + 8\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975246932 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17734 is divided by 8851?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 85 = 2*j - 2*d, d = 3. Suppose -32*w + j*w - 12 = 0. Suppose -22 = -2*b - w*l, b = 5*b - 5*l - 5. Solve -2*n + 6 = -b*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*i - 121 = 0, -161 = 5*o + 5*i - 46 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6792 - 645258\/95. Let r = a + 8936\/48165. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12033 - -4?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -16. Let g(n) = 32*n**3 + n**2 - n. What is the tens digit of g(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 25*g + 53. Let l(n) = 4*n**2 - 76*n + 157. Let s(k) = 7*j(k) - 2*l(k). What are the prime factors of s(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 1913*b**2 + 6*b**3 + 1914*b**2.\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 33. What is k(-14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11553 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1926352 - -12?\nAnswer: 1926364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23323, -93311, -209959, -373267, -583235?\nAnswer: -839863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-3 + sqrt(931) + 3))**2 + (-2 + sqrt(931) + 0 + 5 + sqrt(931)*2 + sqrt(931))**2)*-1.\nAnswer: -18629 - 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001584918 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10197 = -34*a + m + 9654, 4*a + 60 = -4*m for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(245)*-4 + sqrt(40)\/(sqrt(56)\/sqrt(7))))**2 + 4*((sqrt(180) + 0)*5 + -2).\nAnswer: 120*sqrt(5) + 131212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 + 307. Which is the smallest value? (a) v (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3*s - 228*r**3 - 14*r**2*s - 8*r**2 + 3*r*s + 34032*r wrt r.\nAnswer: -18*r*s - 1368*r - 28*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/6 - 2*z**3\/3 - z**2 - 8*z. Factor b(i).\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-9)\/(-12) + 0). Let v be 1 - s\/(3\/(-1)). Solve j + r + 11 = v*r, j + 2*r + 1 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 296*c**3 - 94*c**3 + 3*c + 6*c**2 - 201*c**3 + 7. Let j = -2 - 4. Determine z(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - c**2 - c - 2. Let x be k(2). Let o = x - 14. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Let x(f) = -3*f + 0*f + p*f + 4*f. Let d(j) = 12*j**2. Give x(d(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 - 16*t**4 + 20*t**3.\nAnswer: -4*t**3*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14236538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020829201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1475 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8544 = 132*r + 5376 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 581951873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 26. Let a(v) = 3*v + 5 + 4*v - 2*v**c + 1 - v**2 - v**3. Let t be a(-4). Let y(f) = -2*f - 5. Determine y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-15 + 19 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = h - 2*h - 1, -w + 1 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162 - -182) + (-14 - (21 + -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/294)\/((-41216)\/(-7728) + 7*-1)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) 1 (b) -161 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20237 + 5431. Let i = d - -10406. Round i to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.9 + -15. Let w = 0.14 - 0.44. Is w greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldndnlaadlnleat. Give prob of picking 1 a and 3 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867, -522, -177?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:27 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q - 7. Let o(i) = 5*i + 3. Let r(u) = 3*g(u) + 7*o(u). Let p(h) be the third derivative of -h**4\/12 - h**2. Calculate r(p(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i + 1 + i**2 - 12*i + 10*i. Let s be a(-2). Let w(q) = 6*q + 20. Let j(t) = -2*t - 7. Let u(c) = -17*j(c) - 6*w(c). What is u(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - (-832)\/(-10))*-70 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -15*r**4 + 594\/5*r - 216\/5 + 311\/5*r**3 - 621\/5*r**2 + 7\/5*r**5 = 0.\nAnswer: 1, 12\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7201251 and 119.\nAnswer: 50408757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1 - 406*j - 5 + 18 + 375*j - 9. Let y(v) be the first derivative of -2*v**3\/3 + 5. Give y(r(l)).\nAnswer: -1922*l**2 + 620*l - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*a + 7, 4*a = 4*n + n - 21. Suppose 0 = -l - 2*l + 9. Suppose -d = -q + 9, 2*q = l*d + 2*d + 18. What is the remainder when q is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 27*x - x)*(4 - 4 - 1).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3\/2 (c) -2 (d) 0.2 (e) -24 (f) 2499\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0687388 to four dps.\nAnswer: 0.0687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507102481.\nAnswer: 14249, 105769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**3\/3 + 5. Let b(d) = d. Give b(l(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 12. Suppose -3*m - p - 3*p = 9, 4*m - p = -31. Let z = m - -15. Calculate the smallest common multiple of v and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c655 (base 14) in base 7?\nAnswer: -4601435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*c + 9, -c + 3937 = -3*s + 3930 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*i**2 + 29*i**2 - 3*i**4 + 2*i + 2*i**4 + 2*i**4 in the form j*i**2 + z*i**4 + q*i**3 + x*i + l and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346461 = -3*v + 733539. Round v to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -60. Which is the nearest to -1? (a) 6 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -9, -7, 7, 39, 95, 181?\n\"Answer: r**3 - 3*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1205*g - 89*g - 3177 = -945. Factor 0 + 2\/7*m**3 + 4\/7*m**g + 0*m.\nAnswer: 2*m**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0\/z)**(-2)*((z*z**(3\/5))\/z)\/z*z*((z\/(z*z**(-2)))\/z)\/z assuming z is positive.\nAnswer: z**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 248741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.03. Let t = x + -1.02. Suppose 3*o + 2*o = 2*y, 3*y - 5*o + 5 = 0. What is the nearest to 1\/2 in y, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkd when three letters picked without replacement from {d: 2, k: 4, j: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let k(i) be the first derivative of -i**3\/3 + 4*i**2 - 7*i - 3. Let q be k(7). Solve v + 2 = 2*z - 5*p, q = -p - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -6, j - 3*d + 0*d - 7 = 0. Let f be j\/(2 - 21\/12). Suppose -f = 3*b - 16. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 9:00 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -249*h**3 - 3*h + 7. Let x(d) = -2*d**3 - d + 3. Determine b(t) - 3*x(t).\nAnswer: -243*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2906 and -4?\nAnswer: 3.7094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9. Let x = p + 2. Find the common denominator of 41\/18 and x + -2*57\/132.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14104\/(-430)*5*(-2)\/(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and -109\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22\/2*(-138352)\/(-88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let l(s) = 26*s**2 - 3*s + 2 - 3*s - 24*s**2. Calculate l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 - q**2 - 9679*q. Suppose -4*l - 2*r = 17 + 9, 3*r = 2*l + 1. Calculate t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -22*r**7\/7 + 5*r**3 + 2. What is the third derivative of f(z) wrt z?\nAnswer: -2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86.6810998 - -86.68. What is q rounded to 5 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 at least as big as -2008612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -3*u + 2*v, -2*v - 39 = -578*u + 557*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104786 is divided by 3492?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97 + 11 - (-2)\/3*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1004 - -1010. Solve 2*l + s = -18 + y, 0 = 5*l + s + 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:52 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d + 85. Let x be z(-7). Let q(m) = x*m**2 + 10622*m - 10622*m. Let r(u) = -2*u - 2*u + u + u. Give q(r(h)).\nAnswer: 172*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 6. Let k(j) = -j**2 - 7*j + 6. Let f be k(-9). Let v = f - -17. Is t(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*k - 180. Let j(o) = o**2 + o. Let c be j(-2). Suppose 23 = c*r - 9. Calculate the remainder when k is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -515 - -351. Calculate the common denominator of 0 + ((-96)\/a)\/1 and -4.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0377 - 33.3377. Let m = -33 - q. Which is bigger: m or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.2 (c) -0.04 (d) 134816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a + a)*(a**2 - a**2 + 4*a**2 + 0*a + 0*a - a**2 + (2*a + 2*a**2 - 2*a)*(1 - 1 - 1) + a - 2*a**2 - a - a + 2*a**2 + a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -d?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(30\/8))\/((-4)\/(-10)). Let n = -13 - h. Let w(d) = -d**3 - 10*d**2 - 10*d - 9. What are the prime factors of w(n)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 22 = -38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187004 (base 14) to base 2.\nAnswer: 11010011000001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 93 = -4*n, 3*u = 2*u + 5*n + 98. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -1\/4 (c) 2\/11 (d) -21371 (e) -2 (f) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1 - (4 + sqrt(68)\/sqrt(4)).\nAnswer: -5*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 5.29\nAnswer: -2.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 158558180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g + 3. Let f be b(-3). Let v be (2\/(4*-1))\/(9\/180). Let z = v + f. What is the greatest common factor of 72 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, -0.3, -0.4, -0.179, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*c = -15, -4*r + 51*c + 21 = 28*c for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) - 15\/45. Let w = g + 5\/6. Is w at least as big as 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 56. Let z(i) = 2*i**2. Calculate v(z(j)).\nAnswer: 10*j**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 833554 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -1\/12*i**5 - 1\/24*i**4 + 0*i**3 + 3*i**2 + 0*i + 0 - 23\/480*i**6 - 1\/120*i**7. Determine w so that q(w) = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-323)\/76 - -3)*(-9 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 953.15 + -953. Which is the nearest to 3\/22? (a) p (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202.73144 + 1.\nAnswer: -201.73144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65570821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 6*d**3 + 2 - 3*d**3)*(27 + 25 - 21).\nAnswer: 186*d**3 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(2*sqrt(7)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 480920?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252130 and 1140.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08774 in 5, 133, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/(-3479))\/((-2)\/14*2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide -15 - 513\/(-36) - 1611\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/3)*f*f)**(-17)\/(f\/(f**0*f)*f)**(-38)*(f**(-1)\/(f*f\/(((f**(-1\/5)*f)\/f)\/f)))\/(f*f**(-3)*f**2*f*f) assuming f is positive.\nAnswer: f**(-373\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 3*c + 6 = -24*q, 4*c = 5*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**(-5\/16)*(q**(-9\/5)\/q)**20 assuming q is positive.\nAnswer: q**(-1797\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/136 (b) -1.28 (c) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4*j - 4, 3*u + 5*j = 2*u - 185 + 196 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 + 11462*z + 32844361 = 0. What is z?\nAnswer: -5731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + 162?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001061888379 rounded to seven decimal places?\nAnswer: 0.0010619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28366.\nAnswer: 2, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 60*j**2 - 594*j + 532.\nAnswer: 2*(j - 7)*(j - 1)*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 7*r + 4 = -q, q = -5*r - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.53? (a) -11 (b) 94 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -593*b**3*f**2 - 3*b**2*f**2*j - 3*b**2*j - b*f**2*j + 2*b*f**2 + 89*f**2 + f*j + 5 wrt b?\nAnswer: -3558*b*f**2 - 6*f**2*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15714636 and 870.\nAnswer: 78573180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:57 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 161*v - 162*v - 20 + 9.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 9*r + 77. Suppose -5*y + 58 = -42. Suppose -4*t = 12 + y. Are r and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 41565\nAnswer: -1\/13855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, t: 2, r: 9}. Give prob of sequence tut.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1061 + 1110 + 1084)*(-m - 4*m + m) to the form c + h*m and give h.\nAnswer: -13020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) 675\/53 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*n**2 + 7*n - n - 6*n as p*n**2 + o + x*n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 5 - 4 - 3. Let i be b(-5). Solve i*f + 9 + 0 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 2. Suppose 4*n - 3*n - 4 = 0. Determine x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 461*a + 14. Let s(p) = 68*p. Determine h(s(k)).\nAnswer: 27744*k**2 - 31348*k + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 28 = 3*g. Let b(i) = 2*i - 1. Let a be b(2). Suppose 0 = 2*p + 3*r - g - 6, a*p + r - 29 = 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1619675 litres to millilitres.\nAnswer: 161.9675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 8 = 3*q - 11*d, 3*q = 2*d - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375386 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 10, -3, -12, -2, 0 in decreasing order.\nAnswer: 12, 10, 0, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6 - 20 + 10 - 5 + 8. Let c(g) = -3*g**2 - 6. Give -c(d) + 6*r(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggmrgg. What is prob of sequence gmgg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545, -1095, -1643, -2189, -2733, -3275, -3815?\nAnswer: -4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7398 + -5982. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s\/s**3)*(s**(2\/7))**(-3\/2))**(-43) assuming s is positive.\nAnswer: s**(1634\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -553, -393, -259, -163, -117, -133, -223?\n\"Answer: -2*c**3 - c**2 + 177*c - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(-1\/4)*x)\/x)\/x*x*(x*(x*x\/(x*x**(2\/25)\/x))\/x)\/x)\/(x\/x**(-7)*x\/(x**(6\/11)*x)) assuming x is positive.\nAnswer: x**(-5263\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8233 = 2*q + g, 4*q + 3*g = 8*g + 16473. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -91\/385829 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 162 + 50 = 0. Suppose 2*u = 5*t + s, 2 = -4*u - 5*t - 2. Suppose 4*o - 5*o - u = 0. Put 4, o, 5 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1848428031 and 6.\nAnswer: 3696856062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -r + 26, 3*h + 326*r = 327*r + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485546 is divided by 97102?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/9))**(-21)*y\/((y**(4\/11)*y)\/y*y)*y*y**4 assuming y is positive.\nAnswer: y**(-232\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1187 + 115141\/2374. Find the common denominator of 139\/78 and q.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18556 + 17035.3. Let t = r + 1260. What is t rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:42 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 - 81. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:56 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4945128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -501 - -480.3. Let x = y + 14.4. Let f = x - -1.3. Sort f, 0.2, -4 in descending order.\nAnswer: 0.2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 8*r**2 + 10*r + 7. Let y be p(-9). Let l be y\/11 + 90\/(-110). Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.38 - 0.02. Let d = 0.66 + -0.37. Let n = d + -1.09. Which is the nearest to -2\/11? (a) -5 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222219197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1630\/21 - -3832\/21. Let p = -106 + w. Let t be (-1)\/(-5) + (-2)\/10. Is t at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52785.2*-53.1.\nAnswer: 2802894.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = 2*w. Let j = -7 + w. Solve -k**3 - 2*k - 2*k**2 + 2 - k**3 + 6*k**j - 2*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 19. Suppose 0 = -4*n + n. Let d be l(n). Suppose 11 + d = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 - 1.2. Let x = i + -1. Which is the second biggest value? (a) -1\/4 (b) x (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/60 + 5*q**4\/24 - 4*q**3\/3 - 6*q**2. Let m be y(4). Is 5\/10 - 1002\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 - -223. Let j = t + -43. Differentiate -y**2 - j + 37 + 0*y**2 with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - 79*n - 188. Is w(65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774\/6 - (-11)\/((-198)\/12) is divided by 85?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6*f**2 - 1 + 2*f**2.\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.1 + -8. Let z be -27*(14\/(-35))\/((-6)\/(-10)). Let w = 23 - z. Which is the closest to w? (a) -1 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337031 is divided by 272.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20 and 0.093731214584?\nAnswer: 20.093731214584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 1777.\nAnswer: -27\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1.9, -0.4, -1, -4, 50?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 18*c**2 + 11*c - 213. Let k be a(8). Sort -4, -3, -163, k in descending order.\nAnswer: k, -3, -4, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (1 + -6 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from jlljljl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 1050453.23.\nAnswer: 1050459.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0544 + 0.01. Let n = u + 0.04439162. What is n rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622 + 1236. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 - 0.1. Let q = 6 + x. Let z = -6.3 + 1.3. Sort q, z, 0.3.\nAnswer: z, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 + 328. Suppose -4*r = 12, i*n + 453 = 3*n - 3*r. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.7 - 10. Let u = 0 - s. Let m be (-4)\/(-14) + 6\/(-70). Which is the third smallest value? (a) u (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.5 - -12. Let w = -1 - -2. Which is the third biggest value? (a) d (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10133222101 + 2?\nAnswer: 10133222103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 958879175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + 220. What is the remainder when r is divided by 81\/(-9) + -1 + (15 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011110 (base 2) to base 9.\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6, 4*l - 3*b = 126 + 128. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**2 - 214714 + 214714.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-65)*(-9)\/(27\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 375.60007695 + -375.6. Round u to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 258 = -68*a + 110. What is the least common multiple of a and 18618?\nAnswer: 37236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2658 (b) 2\/9 (c) 0.1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -26. Suppose -2*n + 3*s = -6, -x*n + 5*n + 3 = 2*s. Suppose 15 = -n*g - 0, 2*b + g = 111. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*o = -28, -3*w = w - 4*o - 24. Suppose -4*m - 2574 = -w*m. Let i = 692 - m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:19 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*z + 7*z. Suppose 30 = z*h - 9*h. Let s = h - -22. Solve 23 = 4*r + u - 0*u, -2*u + s = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 9*v**2 - 2*v - 8. Determine s(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x - 37. Let i(p) be the second derivative of 2*p**3\/3 + 13*p**2\/2 + p + 11. Let c(h) = 17*i(h) + 6*u(h). Determine c(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239779 is divided by 34434?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 7, 0.05750269?\nAnswer: 0.05750269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6507 + 2552. Let x = -2361 - q. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.735701l?\nAnswer: 7735.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104.05 + -104.079047. What is c rounded to 4 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(((((y**2\/y)\/y)\/y)\/y*y)\/y)*y*y*y*y\/y**0*y*y*(y\/(((y*y**(-2)*y*y)\/y)\/y*y*y))\/y*y**(2\/7) assuming y is positive.\nAnswer: y**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-25)\/((-900)\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 13*k - 2. Let w(d) = 2*d**2 - 6*d + 1. What is -4*p(g) - 7*w(g)?\nAnswer: 2*g**2 - 10*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/40 - 2\/(-8). Let u = 1499 + -333. Let c = -1171 + u. What is the closest to 1\/13 in c, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -5 - ((9 + 0 - 7) + 6 + -18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:03 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2108 less than 0.3?\nAnswer: 1.5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yya. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -120e4e?\nAnswer: -120e47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yalaallaaallal. What is prob of sequence ya?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -730*c**2 - 3 + 1406*c**2 - 758*c**2 in the form h*c**2 + m + v*c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3))**21\/(r**1*r)**18 assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2247 - 2101. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x. Let o(q) = 3 + 4*q**2 - 2 - 3*q**2. Let a(v) = 7*v + 67. Let d be a(-9). Let j(n) = -7*n**2 - 4. Let g(p) = d*o(p) + j(p). Give f(g(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*g**5 - 39*g**2?\nAnswer: -3180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21987571 or -21987575?\nAnswer: -21987571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -20. Let z(q) = -2*q**2 - 3*q + 3. Let a be z(2). Let c = a - w. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 2*v**3 + 17*v**2\/2 - 370. Let k(i) = 2*i. Calculate k(h(a)).\nAnswer: 12*a**2 + 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*h - 54243 = 3294*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92734 is divided by 1131?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.171 - 14.129. Let i = 14 + q. Sort -1\/3, 2\/15, i in increasing order.\nAnswer: -1\/3, i, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56292*g*n**2 - g - 20*n - 243 wrt n.\nAnswer: -112584*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (12 + -7) - ((4 - 6) + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2682498*q**3 - 894195*q**3 - 894166*q**3 - 894170*q**3.\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6572 by -8.\nAnswer: -1643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8664*q - 26018. Calculate t(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10959, 10, 4, -96, 2 in ascending order.\nAnswer: -10959, -96, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ififfifffffiiiif?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 13*s + 13. Suppose 5*t = -4*l - 40, 5*l = 5*t - 4*t - 21. Let h be z(t). Solve 0 = 5*v + 3*g + h, 5*v + 3*g - 5*g + 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488 = -118*i - 1668 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-18 - (-13 + -8) - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -25. Suppose 5*l + 3*q + 8 = y*q, 0 = 2*q - 8. Suppose -7*d + 1196 + 575 = l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1219985413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:29 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999*t + 68523 = -2756*t for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*sqrt(250))\/sqrt(10) + sqrt(25)))\/(sqrt(20)\/sqrt(64) - (sqrt(245) + sqrt(245) + sqrt(245) + -1*sqrt(245) - sqrt(245) - sqrt(5))).\nAnswer: 40*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10746867*s**2*w**3 + s*w**2 + 4*s + 7*w**3 + w + 15 wrt s?\nAnswer: -21493734*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-24))\/(-17)*(-3)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -12. Let f = i - 19. Suppose 0 = -f*a + 20 - 10. Solve -2*s = 6 - a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 + 1240*i + 41700 = 0. Calculate i.\nAnswer: -30, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*(b\/((b\/b**(-2))\/b*b))\/b assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 5. Let c be s(4). Let x = 18 - -22. Let a = x + c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 200241379.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 35*k + 720. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 188 = 4*r, -5*r = 5*v + 205. Let z = 133 + r. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 2, c: 2, i: 3, f: 4, q: 3}. Give prob of sequence ffiq.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -1\/168*v**7 + 0 - 1\/120*v**6 - v + 0*v**2 + 3\/80*v**5 - 1\/12*v**3 + 1\/48*v**4. Let f(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -14, 0.06.\nAnswer: -14, 0.06, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 257, -13\/2.\nAnswer: -13\/2, -0.23, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 - 13*b**2 + 22*b + 9. Give p(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from zqguccqqquqcqzqzgcq.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -31*b**2 - 49988*b. Let m(k) = -7*k. What is c(m(h))?\nAnswer: -1519*h**2 + 349916*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53715680 by 5371568.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*n**5 + 6341*n**4 + 13115*n**2 - 42*n wrt n.\nAnswer: -19980*n**2 + 152184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 434\/3. Let x = 241 + -240. What is the closest to j in 20, -2\/5, -3\/4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)\/y**0)\/(y**(-1\/4))**(-2\/89))**(2\/9) assuming y is positive.\nAnswer: y**(-367\/8811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*s - 3 = 0, 2*l = 179*s - 174*s - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-50)\/(-16) + 1065\/120 + -10. Sort 2, m, -4\/7, 1, 0.1.\nAnswer: m, -4\/7, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 - 50*z**4 - 590*z**3 - 1420*z**2 + 4815*z - 2754 = 0. Calculate z.\nAnswer: -34, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069 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: Expand (-10*k**2 - 6*k**2 + 5*k**2)*(k**2 + 2 - 2).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371 + 183. Let k = 64 - h. What is the greatest common divisor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.017 + -0.117. What is the second biggest value in 139, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3435250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, 26, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.08 - -6. Let g = -2 + 2.08. Let u = g + j. Is u greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 5. Let i be r(5). Let m = 45 - i. Solve -2*c = -m*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6015 - -6093. Let p be -74 + (2 - (-2)\/(-1)). Let i = j + p. Solve -5*m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(176\/8932*29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:14 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7*i = -70, -5*w + 395*i + 108 = 398*i for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.8941 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-6)\/4 + 6\/1). Which is the closest to -1? (a) -5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*a + 8 - 0, 4*b - 4*a + 4 = 0. Let j(l) = -2*l**3 - 4*l**2 - l + 2. Let w be j(b). What are the prime factors of w - (1 + (-2 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, -4, -19 in descending order.\nAnswer: 3, 0, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(132) + sqrt(132))*-6)\/((1*sqrt(96))\/sqrt(8) + sqrt(108)*1 + sqrt(108)) + 0.\nAnswer: 96*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -3*p, 5*m - 16 = p. Let i be (56\/490)\/(4\/(-10)). Is p less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(50\/(-348)))\/((-6)\/(-20)). Let n be (-6)\/(-10) + 142\/5. Suppose n = -o + t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, r: 5, e: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3304 is divided by 3297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38727*w**2 + 38657*w**2 - 77340*w**2.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2 - 2)*(2*u**3 - 2*u**3 + 3*u**3) + (2*u**2 - 4*u**2 + 0*u**2)*(-2*u**2 + 2*u**2 - 3*u**3).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {r: 1, v: 4, s: 1, d: 7, o: 3}.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 75*b**4\/4 - 1629*b**3\/4 + 4189*b**2\/4 + 78*b - 1395 = 0.\nAnswer: -93, -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + -1.95. Let f = -303\/19 - 1165\/114. Let m = f + 26. What is the second smallest value in 4, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 10*l**2 - 26. Let g be x(9). Suppose g = b - 112. Does 54 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 28674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + 3. Let o = 6 - 3. Let i = j + o. What is the highest common factor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*h - 1 - 23 = 0, 2*c = -5*h - 36. Let a(m) = m**2 + 7*m - 7. Let q be a(c). Solve 5*y = -6 + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -22 - i**2 - 2*i - 1\/6*i**3. Find b such that o(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -1\/2, 1\/2 in ascending order.\nAnswer: -6, -1, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(5*sqrt(637) + sqrt(637) + sqrt(13)))**2 - ((sqrt(13)*-3 + 5)**2 + 4)) + 5.\nAnswer: 30*sqrt(13) + 384451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84309619 rounded to 2 dps?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from gllnlzlgz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1132 and 102.\nAnswer: -115464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/600 and 17\/26272800?\nAnswer: 26272800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:48 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*w + 6 = 0, 8*f + 4*w - 3*w - 3 = 0. Suppose -2*b = -5*y + 3*b + 5, 4*y - 5*b - 2 = 0. Sort y, -5, -3, f in descending order.\nAnswer: y, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 598625657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*z - 266666 = -3077. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 877323522 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(8\/(-4)))\/(1\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:56 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 5*v + 7. What is a(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 124 - 4119*q + 1156*q to the form c + i*q and give i.\nAnswer: -2963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48432*a - 148656*a - 163016*a.\nAnswer: -360104*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*z**2 - 5*c**2*z - 2*c**2 - 8*c*z**2 + 6*c + 3*z**4 wrt z?\nAnswer: 4*c**2 - 16*c + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 = -113*l - 45 + 376 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 1. Let f(c) = -5*c - 17. Let w be f(-5). Let m be 24\/9*6\/(-4). Let b be (-6)\/w + (-7)\/m. Determine n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o. Let l(y) be the second derivative of 7*y**4\/12 + y**3\/3 + 86*y + 1. Let p(v) = -v. Let t(b) = -l(b) - 2*p(b). Determine z(t(x)).\nAnswer: 119*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(405) + 0).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610331193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(5))*4 + 1 - sqrt(45)\/(4*(sqrt(27)\/sqrt(3) + sqrt(9))).\nAnswer: 1 + 159*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376 + 1000. Suppose -v - h = -4*v + 5*z, 2*v - 913 = -z. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 2*y**2 + 17 - 6*y**3 - 3*y**4 + 2*y**4 + 8*y**3 to the form t*y**3 + l*y + u + p*y**4 + m*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let p(c) = 51*c - 9. Determine p(m(k)).\nAnswer: -51*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:05 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Sort 3, 1\/2, m in decreasing order.\nAnswer: 3, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 10217600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40134767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -2. Let t = 281 - 280.9. What is the nearest to t in p, 1\/2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18. Suppose 8*n + o*n = 0. What is the smallest value in n, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5568 or 11\/4?\nAnswer: 5568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 5*p**2 - 1 - 52*p**2 to the form j*p + k*p**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1740672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let u(s) = -19225*s. Give u(h(j)).\nAnswer: 19225*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5*z**3\/3 - 5*z**2\/2 - 5*z - 15. Let c be d(-2). Solve 5*r = -0*r + c, -u = -2*r + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8 + -b25?\nAnswer: -a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 18*y**2 + 13*y - 9 - 2 - 6. Let g be b(-16). Suppose 35 - g = -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 value of 7 - (0 + 0 + -2 + 1 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/6, 2\/7, 3\/2, 0.5 in ascending order.\nAnswer: -17\/6, 2\/7, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.31 + -2.49. Let q = -21 - m. What is the nearest to 0 in -4, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 273, 548, 823, 1098, 1373, 1648?\n\"Answer: 275*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 13*y**2 - 4*y - 9. List the prime factors of w(-12).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 24. Let u be 6\/(-8) - 415\/(-20). Let k be (-12)\/(-8)*u\/z. Solve 3*i + 5 - 1 = k*a, -2*i - 1 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15 - -3 - (-4 - -3). Let s be 11\/3 + 33\/x. Factor 0*a + 2\/3*a**2 - s.\nAnswer: 2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17315*t**4*w + 4*t*w**3 - 408*t + 582*w**3 + 29*w**2 - 234 with respect to t.\nAnswer: 69260*t**3*w + 4*w**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 2*j**2 + 2*j + 1. Let c be z(-1). Suppose -21 = c*g + 23. Let k = 17 + g. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3959 - 3914) + (-13 + -4 - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 44021*c + c**2 + 44021*c - 4 + 20*c**2 + 11.\nAnswer: 21*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*l = 66, -357*c + 356*c + 18 = 3*l for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*k + 31 = -20, 0 = 2*i - 2*k - 26. Suppose 13*u + 162 = 19*u. What is the remainder when u is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 3390 = -6*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 1669*n - 8369. Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*-3*4\/3. Solve 5*x - 22 = -3*v, 3*x - 5*v = -o*v - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1408, 1397, 1378, 1351, 1316, 1273, 1222?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 143741588*n + 143741586.\nAnswer: 2*(n - 71870793)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -330*d**4 + d**3 + 71?\nAnswer: -1320*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 19*h**2 - 50*h - 35. Let j be v(-16). Let r be -1 + 0 - (-6)\/3. Suppose x = -2*d - 6, 2*d + 4*x + 11 = -r. Put 4, j, d in decreasing order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88503 and 849.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/3 + -37\/12. Put 1\/3, s, 0.3 in decreasing order.\nAnswer: 1\/3, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**3 - 4*u + 6. Let z be q(2). Suppose -10*p + 5*p + z = 0. Suppose -p*j - 112 = -26*j. Calculate the remainder when j is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 427865 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2950\/3 + 2944\/3*s**3 + 8848\/3*s - 2948*s**2 + 2\/3*s**4.\nAnswer: 2*(s - 1)**3*(s + 1475)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6454 and 6818.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 432366.\nAnswer: 864732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d**(3\/5)\/d assuming d is positive.\nAnswer: d**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4421\/5 or 885?\nAnswer: 4421\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2 + 8. Let j be (5 + o)\/((-2)\/(-410)). What is j rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62830 = -3*r + 224924. Let o(x) = 4 + 5*x + r*x**2 - 7*x + 0*x. Let p be o(-7). Round p to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 1)*(-5*k + 4*k - k) - 38 + 38 + 9*k + (3 - 4 + 0)*(2*k + k - 6*k) as d + h*k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 + 2*t**3 - 7*t**2 + t. Is 5 a factor of z(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1676 = -5*t + 2*t, -2*b + 852 = -2*t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2128 and 990752.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.98 + -0.02. Suppose 3*w + 8 = -10. Let z be 2\/w - 33\/(-18). Sort -0.1, z, j.\nAnswer: j, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7655703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 - 2*d - 4. Calculate f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 7. Let v = 16 - 14. What is the third smallest value in 3, v, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 70*s**4 - 475*s**3 - 1085*s**2 + 8190*s + 1800 = 0.\nAnswer: -4, -3\/14, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10000.5572 + -5.6572. Round f to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/4*8\/14. Let b be (-42)\/(-28)*(-4)\/m*-4. Solve 3*g + 6 = 0, -b*g - 4 = 4*j - 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*g - 5*g - y, 12 = g - 2*y. Let s = g - 0. Solve -s*o - 12 = 2*w, -3*o - 2*w - 4 = 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 8*j - 7. Let c be f(-5). Let m(l) = -6*l**2 + l - 45. Let w(r) = 7*r**2 + 56. Let u(q) = 6*m(q) + 5*w(q). Determine u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2133.647*0.4\nAnswer: 853.4588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 4)*(50*h - 6*h**2 - 50*h).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14335 divided by 47.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 3, -1 in descending order.\nAnswer: 45, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 393.5 - 545. Let m = 151 + f. Which is the biggest value? (a) -3 (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*1\/2*(-335)\/(-120) and -127\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + -3 + (5 - -10) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*l - 52*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*r - 113492 = -21100, r = 4*h - 73910. Does 149 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -4*u + 16, 5*u - 15 = -5*h. Suppose -h*j - 31 + 388 = 0. Is 42 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -2*h + 3*o - 34, -4*o - 22 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {q: 1, t: 8, d: 5, p: 1, a: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99675, -99676, -99677?\n\"Answer: -h - 99674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 38*g**3 + 2*g**2 + 6*g - 7. Let r be t(3). Suppose 0 = 5*q + f - r, -4*q - 5*f + f + 844 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-7 + 13 + -8)) + 9 + -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -23*g**9\/36 - 587*g**5\/60 + 9*g**2 - 8*g. Find the third derivative of i(y) wrt y.\nAnswer: -38640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d - d**2 + 1\/2*d**3 + 6 + 7\/6*d**4. What is the second derivative of b(v) wrt v?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296\/(-2880)*(-8)\/27.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 5:15 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1300) - (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - (2 + sqrt(1300)))**2))) + -1)*-6*4 + -5.\nAnswer: -73 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 take away 0.942?\nAnswer: -141.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 21. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from hsqzyhpp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04737 - 0.05263. Let d = -3\/31 + -47\/155. Put z, -3, -2\/7, d in increasing order.\nAnswer: -3, d, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 52*a - 64*a + 96*a + (5 - 5 - 3)*(0*a + a + a) - a + 3*a + 0*a as h*a + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*u**2 + 260*u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167.94 + 168. Let f = 1407\/16 - 88. Is f greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1042663882+-17047\nAnswer: 1042646835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05236 + -20.04036. Let x = -0.012 + j. Let n = -10.6 - x. Round n to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1527 by -1.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58.6 in -1\/5, -17, -8, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 d when four letters picked without replacement from ddeedddeddee?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12067 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.016 to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 59160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -983 + 3*f - f + 4*f - 1837.\nAnswer: 6*f - 2820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -14)*((-1)\/4)\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 47495 - 23747 + 5*d**2 + d - 23746. Let q(s) = -15*s**2 - 3*s - 6. Give 17*g(z) + 6*q(z).\nAnswer: -5*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*l + 18, 3 = l - 2. Which is the closest to 1? (a) -1.1 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -200, 93 in descending order.\nAnswer: 93, 19, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 + 2*u - 6. Let v(t) = 3*t**3 - 5*t**2 + 8*t - 17. Let l(f) = 8*h(f) - 3*v(f). What is l(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 52, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10126288 divided by 2531572?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 883652 and 604?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 632397 greater than 632406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -2, 0.3, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -30244 = -695644\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 80. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1005 + 1008. Solve -13 = u + 3*a, -u - 1 = -2*a - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 3. Let k(j) = 17*j + 13. Suppose -24 = -2*b + 2*m - 5*m, 0 = b - 4*m + 10. Let u(h) = b*k(h) + 26*o(h). Let f(g) = -2*g. Calculate f(u(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88346, -88343, -88340?\nAnswer: -88337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from etetete?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) 0.2 (d) 10\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 7)*(-4 + 3 + 3)*(0 - 1 - 1) + (3 + 0 + 0)*(-1 + 6 - 3) - 2 + 1 + 3)*(-54*f**3 - 37502*f + 37502*f).\nAnswer: -648*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -2\/13 (c) 1\/2 (d) -6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*u - 16 - 233 = 128 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 3, f: 5}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 1. Let h be q(-1). Let s = 0.05 - 0.03. Let c = s - 0.42. What is the nearest to h in 0.1, 0, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 4*q + 2*q**2 + 1 + 4*q**3 - 7*q + 0. Let l(b) = -11*b**3 - 11*b**2 + 17*b - 6. Give 34*j(s) + 6*l(s).\nAnswer: 2*s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30 + (-72)\/8 + 5. Let b = 24 + -22. Let q = b + 37. Calculate the highest common divisor of q and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Is 6692\/12*q\/(4\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497663626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*0.09.\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*(3 - (-15)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070727 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/36*((-33)\/(-9) + (-8)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60468, -60524, -60624, -60768, -60956, -61188?\n\"Answer: -22*q**2 + 10*q - 60456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 1. Let z be d(6). Suppose 8*o - z*o = 3. What is the remainder when 13 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let w = 44 + -44.5. What is the second biggest value in h, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d**3 + 0*d**3 - d**3)*(2 - 2 + 1) + 4 + 2*d**3 - 4 + (-3 + 3 + 2*d**2)*(-5*d + 3*d + d))*(4*d**2 - 2*d**2 - 6*d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 + 6*k + 6. Let o = 44 + -39. Let m be w(o). Find the third derivative of 24*q**2 + 3*q**5 - 10*q**5 + m*q**4 - 11*q**4 wrt q.\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2312437 - -3579438. Suppose 15*u - v = -409001. Round u to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1. Let t = -0.051 - -315.051. Let o = t + -315.2. What is the nearest to o in 0, -2, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -79 + 25 - (2 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 242, 564, 1054, 1736, 2634?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -5 + (-14 - (-10 + 4 + 11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 + 6. Suppose -4*y + 6*y - 6 = 0. Suppose -y*a + 10 + 5 = 0. Solve r - 2*r = a*b - 18, t = b - r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -343*q**4\/2 - 135*q - 605. Differentiate r(l) with respect to l.\nAnswer: -2058*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 8*t - 8. Let l(q) = -q**2 - 2*q - 4. Let d be l(-3). Let u be g(d). Let b be 4*u\/6*-3. Calculate the highest common divisor of 10 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 43*g - 387. Does 2 divide y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18138\/2383 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33026 < -693538\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by -4?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69974.\nAnswer: 2, 59, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4755174 divided by -2?\nAnswer: 2377587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 14) in base 6?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/20*13\/(-2808)*-40?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 55. Suppose 0*g = -4*g + 44. What is the least common multiple of g and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/24 - 2\/(-8). Let n = 0.5 - 0.85. Let k = n + -0.05. Which is the biggest value? (a) 3 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 9872*o - 356688.\nAnswer: (o - 9908)*(o + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -1 (c) -70 (d) 4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89046100879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2\/4*2. Let a = 8 - q. Suppose -5*x = 4*t - 163, -5*t + a = 4*x - 200. What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least as big as -776\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 1 (c) -0.01 (d) 2\/11 (e) 2 (f) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96*(7 + 5\/(-15)*19) is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 6*t - t + (-1 + 3 - 1)*(2 - t - 2) + 3*t + 3*t - 4*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = -1504199*i + 1504200*i + 3*k, 4*i - 192 = -2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22640 by -4528.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - c + 890 + 5*c**2 - 2*c.\nAnswer: 5*c**2 + 2*c + 890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01347 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -2*g + 1\/2*g**2 - 1\/2*g**3 + 0. Differentiate a(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.7, 0.3, 11\/3, -1\/4, 4 in decreasing order.\nAnswer: 4, 11\/3, 0.7, 0.3, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -4 - (525 + -512)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4062 = -250*q - 19171 - 6017 for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273a574 - -3?\nAnswer: 273a577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19805 = -461279*a + 461512*a for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/10)*j**(-1\/3)*j)\/((j**(-3)\/j)\/j*j*j**(-2\/17)))**44 assuming j is positive.\nAnswer: j**(54802\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/55 + -9*14\/(-15). What is the second derivative of 476 + k*a**3 - 21*a - 2*a - 479 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 17*c - 321. Determine u(9).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*n**2 - 318*n**2 - 161*n**2)*(2 + 0 + 0*n + n) to the form j*n**2 + p + v*n + m*n**3 and give j.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2 and (-35257015)\/(-296593050) - ((-2)\/(-17) + 0).\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(2\/87)*x*x**4*x*(x**12*x)\/x*x*x*x assuming x is positive.\nAnswer: x**(1823\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpcccscys. Give prob of picking 1 y and 1 c.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 845 and 2535.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.155103 - 218811.\nAnswer: -218808.844897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 69*c - 192. Let d be i(-19). Calculate the greatest common factor of 136 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671626 to the power of 1\/2, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64324 greater than or equal to 192971\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1*(-2)\/968). Let o = -639 + a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.91 (b) 15\/37 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbhbblbbbhyb. What is prob of sequence lyhb?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-12)\/(-32) + (-697)\/(-4). Suppose -8*h = -3*h + g. Let j = h + 65. Calculate the greatest common factor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*b + b. Let u = b - 4. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -821, -3387, -7659, -13631, -21297, -30651, -41687, -54399?\n\"Answer: y**3 - 859*y**2 + 4*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*f = 0. Let k(p) = 3*p + 701. Is k(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9328\/(-1484))\/(12\/14))\/((-6)\/(-9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7225 by -1669.\nAnswer: 7225\/1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.6. Let d = 0.2 - i. Suppose -2*v + 2 = -2. What is the biggest value in d, 0.03, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33\/332 + 72541\/1660. Let d = x + -44. Suppose 4*n + 9*n = 7*n. Which is greater: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 360.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 5065339?\nAnswer: 506533a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/15 (b) -0.04 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 18 - 5*l - 9 + 1 + 0*l in the form w*l + g and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650603.\nAnswer: 193, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-1 + sqrt(1152))**2 - sqrt(8)) - (-1*sqrt(8) + 1 - (sqrt(8) - (5 + (sqrt(8) + -2)**2))))*2.\nAnswer: -76*sqrt(2) + 2278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 12. Let y be x(4). Let v(i) = -i. Let b be v(y). Sort b, -1, -4, -3 in increasing order.\nAnswer: -4, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.019 + -0.281. Let z = -0.7 - -1. Let a = 0.2 + z. What is the third biggest value in -5, y, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 3*l**2 + 0*l**2)*(1 - 8 - 33183*l**2 - 404*l + 33181*l**2).\nAnswer: -4*l**4 - 808*l**3 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380 + -381)*8\/(-100)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4) - -1)*0. Let z be (1 - j)\/(2\/10). Suppose 10*k = z*k + 125. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*q - 228*q - 18 + 114*q + 55*q**2 wrt q?\nAnswer: 110*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -10\/19, 1\/3, -1\/23, 1?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743937 is divided by 91?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0*d**5 + 2*d**2 + 0*d**3 + 0 - d + 0*d**4 + 1\/15*d**6. Differentiate p(n) with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 28) + (13 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -k - 13, 0 = 5*k + 10. Calculate the lowest common multiple of 80\/(-20) + 8\/1 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1069.239 to the nearest ten.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 20, 5*q = 2*z - 7 - 50. Let j = z + -15. Let k(f) be the third derivative of 11*f**5\/60 - f**4\/24 + f**3\/6 + f**2. Give k(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 32*r**3 + r**2 + 2*r - 2. Let b(h) = -h**3 + 8*h**2 - 10*h + 6. Calculate the remainder when u(1) is divided by b(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose 3*a - 5*s - 24 = 8, a + 2*s + k = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-18)*104\/(-130)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498533932?\nAnswer: 2, 3, 41, 5078321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55306299449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -28*y + 93. Suppose k + y*m = m + 48, 96 = 2*k + 5*m. Calculate the greatest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 11. Let g be t(-11). Suppose -4*s + 80 = -g*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 30*n - 31*n. Calculate the remainder when 285 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 1\/(-1 - -2). Let j(m) = m**2 + 4*m + 2. Let c be j(-4). Suppose 0 = 3*t - 4*t + c. What is the second biggest value in -0.3, z, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 * 32006.\nAnswer: -16643.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2985\/(-125) + 24)\/((-5)\/(-125))*(-268)\/12.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h - 0*h. Suppose -8 = -2*z, 5*u + h*z = z + 34. What is the greatest common factor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 2*m + 4*m as v + s*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.5 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 + 631 = 17*o. What is the remainder when o is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*t + 5*t. Suppose -2*u = t + 1. Let b be u\/(-21)*38 + (-4)\/14. Calculate the greatest common divisor of b and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-644)\/21 - (330\/9)\/(-22)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002822 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -33*g + 81. Suppose 3*s = -n + 507, -3*n + g*s + 1059 + 450 = 0. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let u = -2 - -7. Let v = 2.4 + -2. What is the smallest value in d, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 0.05, 1\/12, 0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -5. Let w = r - -20. Let z = 8.0004 + w. What is z rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 11*o**2 - 5*o**2 + 3 - o**3 + 11*o. Let w be n(-17). Suppose 0 = -2*b - w*b + 3*s + 12, -5*b + 13 = -2*s. Solve -3*i + 4*i = b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -160, -164, -168?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*p - 15, 7 + 3 = -2*o - 4*p. Let y(m) = 3*m - 5. Let x be y(o). Suppose -3*s + x + 5 = 0. What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 0 + (-26 - 18 - -32).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1031 - 794. Let j = b - 205. What is the remainder when 203 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 6, 380 in decreasing order.\nAnswer: 380, 18, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1706 divide 466672888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (2 - 3 - 1). Solve 3*n = n - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + o + 0*o + (0*o + o - 3*o)*(-3 - 2 + 6) - 107*o + 253*o + 178*o)*(3*o + 0*o - 5*o) to the form u*o + k + p*o**2 and give p.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 - 3*b - 14. Let z be i(4). Let w(h) be the first derivative of -z + h + 0*h**2 - 4\/3*h**3. What is the derivative of w(c) wrt c?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + v - 3. Let q be x(5). Solve -q*j = -4*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2312 - -2320. Solve 11*y = -a + f*y + 1, 2*a + 3*y - 5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let l(d) = 18*d - 7. Determine -6*a(o) - l(o).\nAnswer: -12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/106668 and 79\/210.\nAnswer: 3733380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 19 = 3*s, 12 + 4 = 3*s - 2*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 2, x: 4, z: 1, c: 2, w: 3}. What is prob of picking 1 a and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:40 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2706683 + 2706680.199986. Let a = 100.4 - 103.2. Let s = a - t. Round s to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 8. Let a(t) = -t + 1. Let f(p) = -a(p) + d(p). Let s be f(3). Solve -n = -g - 0 - 8, 0 = -s*g - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 25 + 7 = 4*d, 0 = 2*d + p - 16. Suppose 2*y - 40 = -d. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16, z - 5*r - 113 - 206 = 0. Sort 2, z, -0.5 in descending order.\nAnswer: z, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*m - 4 - 1, o = 4*m + 4. Is 3\/22 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xxxxxxcxcxxxxxcxxcxx.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 13134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from bbbqnnbbrbpnbbnbbqb?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + y - y)*(-y**2 + 0 + 0) + 3875*y**3 - 921*y**5 - 3875*y**3.\nAnswer: -919*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1515 + 1016. Suppose 0 = -2*u + 5*u - 6237. Let c = f + u. Round c to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 30*z**2 + 52*z - 84. Let d(w) = -17*w**2 - 26*w + 40. Let h(f) = -7*d(f) - 4*y(f). Determine t, given that h(t) = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 5440 = 12*a. Calculate the greatest common divisor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16332216?\nAnswer: 2, 3, 680509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsul when four letters picked without replacement from lbusllllbllslubllbu.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**9\/168 + s**5\/12 + 3*s**2\/2 + 1. Let a(h) be the second derivative of k(h). Find the third derivative of a(x) wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 320 = o - 6*o, 2*a - 320 = -4*o. Let r = -132 + a. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 144\/81 + (-10)\/(-45). What is the nearest to f in -1, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 13 + 20 = 0. Let y = 37 + l. Let a(g) = g**2 - 3*g - 2. Calculate a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {k: 4, g: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/36 - (-10)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-693)\/14)*(3 + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 2*k**2 + k. Let s be o(2). Suppose -7 - 1 = -s*y. Suppose -2*w + 2*n + y = 0, n + 2*n = -3*w + 18. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/18*(-19)\/(133\/(-42)). Let g(k) = 9*k**2 + 6*k. Let q(m) = -m**2 - m + 1. What is p*g(b) + 2*q(b)?\nAnswer: 7*b**2 + 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22200284023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 2*z**9\/945 + 29*z**5\/120 - 17*z**4\/24 - 21*z**2. Let m(u) be the second derivative of t(u). Differentiate m(r) wrt r.\nAnswer: 128*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.43 * -35.\nAnswer: -50.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 14. Let g(k) = -4*k + 1. What is the remainder when 24 is divided by g(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) - (-34)\/4. Suppose 5*j - 199 = 98*j - 571. Put 1, j, c, -5 in descending order.\nAnswer: c, j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 6 + 21 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:34 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 11183\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240168480.6849945 - 240168122. Let u = w - 358.585. Let k = u - 0.1. Round k to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 129.\nAnswer: 31605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 5 + 16. Suppose b*u = 4*f + 941, 1557 = 5*u - 7*f + 6*f. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(-26)))*w\/(w*((w*w**(-40))\/w)\/w))**17 assuming w is positive.\nAnswer: w**1156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 2*a + 2. Suppose 3*q = m + 12, 3*q = 2*m - 4*m + 21. Suppose 0 = m*j, -2*x + 2*j + 6 = x. Is f(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.3 (c) -6 (d) 26.1 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285882 or -21726985\/76?\nAnswer: -285882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - l. Let v be h(2). Suppose v*g - 3 = -5*t + 1, 6 = 3*g - 4*t. Let m be 155 + -9 - 6\/g. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 2*p - 14. Calculate h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {j: 3, f: 2, q: 1, k: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38269 is divided by 1007.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + y + 1285. Let c be z(0). Suppose 0 = 2*p + 3*p - c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001 take away 93.7?\nAnswer: 19907.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9 - 8*g**2 + g**3 - 5*g**2 - 7 + 0*g**3. Let h be o(13). Let t = 4 - 8. What is the nearest to 1 in -12, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 408*y - 191*y + 167*y + 330*y + 52*y in the form o*y + g and give o.\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 33 = 110. Let w = -6871 - -6808. Let d = w - v. What is the remainder when 38 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111986140.\nAnswer: 2, 5, 7, 17, 211, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146*m**3 + 571*m**3 + 577*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -820? (a) 29\/4 (b) -12 (c) -0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c - 3666 - 73*c + 14*c.\nAnswer: -26*c - 3666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1276 and 138127?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 9*r + 20. Let w be t(7). What is the greatest common factor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 0.1, -3329, 5\/3, -29?\nAnswer: -3329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/2171 and 38\/321.\nAnswer: 696891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2 + 12*x - 3. Is 15 a factor of a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 2.22\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 69\/(-1) - (-9 - -13). Suppose -3*j + 312 = -5*y, 2*j + 0*y = y + 201. Let r = j + a. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -82, 3\/5.\nAnswer: -82, -0.1, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = t - 38. Let k(d) = -d - 4. Let o be k(-9). Solve -3 = w + t*s - o*s, 3*w - 1 = -s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176)*-2.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q - 182 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7711244 or -7711264?\nAnswer: -7711244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/(3\/(-16)*2). Let g = 2 - 2.2. Which is the third smallest value? (a) g (b) u (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14112 and 2013984?\nAnswer: 14097888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Let f = 7 + -3. Let r(m) = 9. Let h(i) = -2. Let x(b) = -5*h(b) - r(b). Let p be (-4)\/(-14) - (-70)\/98. What is f*x(u) + p*y(u)?\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 minutes before 2:30 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let d be g(-6). Suppose 4*l - d = 6. Let k be 185\/(-35) + l\/14. Let u(p) = -p**2 - 3*p + 7. Determine u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y + 129 = 39*y. List the prime factors of (y\/4)\/((-6)\/48).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7939 and -138414.\nAnswer: -130475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 47 + 15 = 5*y, 35*n + 240 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -1 - (-4 + 0). Suppose x = -5*v - 2*u + 282, v + 2*u - 114 = -v. What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 314175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 - 589 = -6*v. Calculate the greatest common factor of 352 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 382, 762, 1148, 1540?\n\"Answer: 3*r**2 + 371*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**3 + 0 + 1\/4*z**4 - 3\/80*z**6 - 34*z**2 - 1\/140*z**7 + 0*z**5 + 0*z. Let i(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 43*j - 712. Determine a(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7477 + -7476.68. Sort -5, -1\/6, 2\/7, k in increasing order.\nAnswer: -5, -1\/6, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/193 or 0?\nAnswer: -6\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2571\/7*z**2 - 552120\/7*z - 549552\/7 - 3\/7*z**3.\nAnswer: -3*(z + 1)*(z + 428)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56198 - 396296\/7. Let s = x - -416. Which is greater: 128 or s?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145925265.\nAnswer: 5, 229185053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/8 - (11 + 4\/(-32)*114). Sort k, 11, -3, 5, 9.\nAnswer: -3, k, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0 - -9 - (2087 + -2084). What is the fourth smallest value in 2\/5, -0.3, -2\/13, 1\/4, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 654*b + 15 + 637*b + 564*b - 12 - 6 as m + i*b and give i.\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182044 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y. Let z(v) = -37989*v. Calculate z(s(o)).\nAnswer: -303912*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4 + j + 5 + 2*j**2 - 2. Let k be 2\/9 + (-120)\/54. Give n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -828380904 divided by 6168\nAnswer: -134303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/31)\/(j\/((j*j*j\/j**(-8\/7))\/j)) assuming j is positive.\nAnswer: j**(472\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -5\/47 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 21. Let h = -4 - r. Factor -h*i + 4*i**2 + 64 - 52 + 22*i.\nAnswer: 4*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0 + 1 = 9*m, p - m = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17272\/(-112))\/17 - -9. Sort q, -0.3, -0.2, 0.3 in increasing order.\nAnswer: -0.3, -0.2, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = i. Suppose 5*m + 10 + 5 = 0. Let r be (-2 + 22\/12)*m. Is r equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53752*c*h - 14396316*c + 11*h wrt h.\nAnswer: 53752*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 47. Let u be (51\/f + 1)*-4. Let x = -50\/3 - -17. Which is the nearest to x? (a) u (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 9 - 113 = 0. Let b(y) = 2*y**3 - 2*y**2 - 3*y - 28. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17335 - 16971 = 26*z. Let x = 5 + -11. Let h(w) = 3*w**2 + 2*w - 1. Calculate the remainder when h(x) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + 4. Let g = 0.302 - -2.698. Which is the third smallest value? (a) 5 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.49 - -0.43. What is the fourth biggest value in -2, 3\/2, 0.1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -b63a12?\nAnswer: b639bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(1*-6)\/3. Let b be 7059\/182*(-16)\/k. Let h = -103 + b. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 + r - 9. Let y be u(7). Let p be y\/(-4)*0\/(-1). What is the biggest value in p, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:16 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 3, i: 12}. What is prob of picking 2 i and 2 a?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.462 + 32.7961. What is l rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 4494819?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 31.7, -2\/5, -5, 0.3, 0 in decreasing order.\nAnswer: 31.7, 0.3, 0, -2\/5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 4*r + 6. Let s be h(5). Let t be -1*(s\/9 + 3). Put -3\/2, t, 0 in increasing order.\nAnswer: -3\/2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 801. Let n(w) = -116*w - 157. What is d(n(f))?\nAnswer: -116*f - 958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -11420?\nAnswer: -11344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-1 - 9) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 25*h + 67. Let a(n) = 11*n + 26. Let j(b) = -16*a(b) + 7*l(b). Let z(v) = 2*v**2. What is j(z(p))?\nAnswer: -2*p**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248178689 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10854.44 - -573127.56. Let p = 583981.69999968 - t. Let z = 0.3 + p. What is z rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-22) - -2*47814\/(-33). Let b be (-42)\/i*(-9)\/1. Do -3 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/6*(-249)\/166. Solve -4*z - 31 = 5*q, -f*q = z + 19 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -29749.\nAnswer: 2974.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r - 5. Give w(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277990*o + 2555334*o - 1277348*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 9231*u**2 - 9240*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrrrt. Give prob of sequence trt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*o*q**2 + 4*g**4*q**2 - g**3*o - 5*g**2*o*q**2 - 2*g**2*o*q + 4*g*q**2 - 3*o*q**2 wrt g.\nAnswer: 24*g*o*q**2 + 96*g*q**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 6*m + 9. Let p be g(7). Suppose 7 = -3*z - p. Does -2\/5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -425, -422?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/75)\/(5\/25)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 67458596.\nAnswer: 3\/16864649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2582672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 276? (a) -0.4 (b) -0.2 (c) -0.5 (d) 128.21 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 - 96.1. Let q = -110 - g. Which is the closest to q? (a) 2 (b) 2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/38 + 9\/19. What is the closest to k in 3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 7. Let l be s(5). Let m = -33 + 36. Find the first derivative of -m*j**2 + 5*j**2 - j**l + 5 - 9 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3022 + -8232. Let p = 12411 + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008286383 to 7 dps.\nAnswer: -0.0000829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987975?\nAnswer: 3, 5, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 26*h - 49. Let x be n(-3). Sort -37, 37, x in decreasing order.\nAnswer: 37, x, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46944614 divided by -10.\nAnswer: -23472307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in seconds?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1444361 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3129, -2927, -2725, -2523?\n\"Answer: 202*h - 3331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 21 - 10. Suppose -3*v + g + 30 = 4*k, -k = -2*v + 26. Solve v = -5*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19110.02 rounded to the nearest 10?\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 7. Suppose -5*u = 2*j + 11, 2*j + 9 = -j - 5*u. Let s(b) = 2 + 3 - 2 + b**j. Let v(q) = 3*a(q) + 7*s(q). Factor v(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**8\/280 + 7*v**4\/24 + v**3 + 7. Let f(u) be the third derivative of n(u). Differentiate f(l) wrt l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09212 and -0.2?\nAnswer: -0.018424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. Let w = -4 + 5. Let h be 5\/3*w\/(-5). What is the closest to v in 2, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - 4\/60. What is the closest to 2 in 0.3, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klblkxlxllxbllllk. What is prob of sequence xlxk?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**3 + 20*s**3 + 4*s**3 + 152*s**3.\nAnswer: 152*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 4*c - 5*c**2 + 1 + 4*c**2. Let k(r) = -3 + 3 + 8*r - r**3 + 6*r**2 - 2 - 2. Let v be k(7). Determine g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46434822, 46434823, 46434824?\nAnswer: 46434825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1417 - 21542?\nAnswer: -21542.1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 0 - 20*r - 8 + 2 + 12*r. What is the remainder when x(-8) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68028 + -41?\nAnswer: 67a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3)*g)\/g*g**16*g\/(g\/((g\/(g\/((g**(-12)\/g*g)\/g)))\/g*g*g*g*g)*g)*g**12 assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 9*o**2 + 3*o. Let v(l) = 9*l**3 + 17*l**2 - 7*l. Let j(y) = 7*f(y) + 4*v(y). What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 - -183 - ((13 - (1 - -4)) + -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w + 3*x, -3*w + 4*x + 14 = 2*w. Let f(k) = 10*k + 4*k**w - 10*k**2 - 12 + 5*k**2. Calculate the remainder when 16 is divided by f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1519 + 925. Suppose -15*c + 4321 = -v. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 81?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-21)\/(-28)*(-10)\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 11*o + 16. Let x be k(7). Calculate the greatest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 15. Let z be b(12). Let h be z\/(3*(2 - 1)). Is 2\/15 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ihqhhihhhkkq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66377 - -5?\nAnswer: 66404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let v be (6\/s)\/(9\/(-12)). Let 1\/5*i**v + 2\/5*i + 1\/5 = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 2*q - 3*q)*(-2 - 4 + 1) - 2*q - q + q + 2*q + 0*q + 0*q as t*q + l and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*g**2 + 522*g**2 - 661*g**2.\nAnswer: -824*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61547145.75 less than -4?\nAnswer: 61547141.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 - (50 - -3) - 172?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {y: 1, c: 2, h: 1, n: 6, i: 1, z: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -124, 0, 642 in increasing order.\nAnswer: -124, -2, 0, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 918089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 38 + -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -5\/3 (c) -0.06279565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3 - l**2\/2 + 2*l - 3. What is a(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.34 + -0.66. Let c = b - 0.5. Let d = -2.5 - c. What is the nearest to d in -0.3, -1\/4, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/(-5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 14*y + 8. Let p be f(-9). Let a(m) = -44*m**2 - 352*m - 144. Let h(k) = -5*k**2 - 39*k - 16. Let u(g) = p*h(g) + 3*a(g). Factor u(d).\nAnswer: 4*(d + 4)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 897432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(sqrt(208))**2 + ((3 + sqrt(39)\/sqrt(3))*3)**2 + 4.\nAnswer: 54*sqrt(13) + 826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*i - 47. Let q be (1 - i\/(-14)) + 48\/28. Solve p - 2*m = q*p - 6, -p + m - 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6696 and -11\/756.\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**4 + 2*f**3 - 180*f**2 + 8043*f wrt f.\nAnswer: -144*f**2 + 12*f - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-154)\/120 + -1 + 2. Let c = x + 1\/12. What is the nearest to 3 in -0.4, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 5920?\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 19*u + 945. Let s = -135 + u. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -498, 2, 432 in descending order.\nAnswer: 432, 2, -32, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.121239 micrometers in kilometers?\nAnswer: 0.000000007121239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(44\/(-96)*4) - (-1469412)\/22?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8*f + 17 - 40 = 6*f, 46 = -f + 51 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:17 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 59*a**5\/60 - a**4\/8 - 2*a**3\/3 + 12*a**2. Let l be d(-1). Let h = l + -53. Is h less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3189.2 rounded to the nearest 10?\nAnswer: -3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 95. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + ((-652)\/815)\/(22\/205).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - f**2 - 5*f - 6. Let v be t(5). Suppose 214*n = -982*n - 346*n + 97*n. Do n and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56068798?\nAnswer: 2, 991, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 405880?\nAnswer: -405874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3156 and 52907447?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286130 and 3550.\nAnswer: 1430650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -143*v**7\/14 - v**5\/10 - 80*v**4 + 297*v. What is the third derivative of s(d) wrt d?\nAnswer: -25740*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (-1*sqrt(30))\/sqrt(10) + (sqrt(84)\/sqrt(4))\/sqrt(7) - (sqrt(432) + sqrt(432) + 0 + sqrt(432) + 0))**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(567) - (sqrt(567) + 1 - sqrt(567))) + -3)*-6)**2 - (2 + sqrt(567)*1 + 2)) + -1.\nAnswer: -2601*sqrt(7) + 20983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*c + 7*c**2 + 2*c + 2*c - 25*c - 5 in the form f*c + v*c**2 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 293?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 4*r + 148, -4*x + 3*r = -153. Let s = 55 - x. Suppose -s*g + 11*g = -12. Calculate the greatest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4520 and 68440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 120.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.52, -5, -8 in decreasing order.\nAnswer: 4, -1.52, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -11*y + 194 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -409, -855, -1301, -1747?\n\"Answer: -446*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-5) - (-16)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = -1. Let s be 6\/(2\/(-8)*-6). Let p = s - t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25026192 divided by -8208\nAnswer: 3049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 538 - 518 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16)\/(35\/350*390\/(-36))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6, -3*u + 5*h + 38 = -0*u. Calculate the remainder when u is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*w - 2*w. What is the first derivative of -p + 10*p + 8 - w*p wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -5724, 9 in increasing order.\nAnswer: -5724, -8, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063, 1066, 1077, 1102, 1147, 1218, 1321, 1462?\nAnswer: 1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127620977?\nAnswer: 11, 1399, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 24145 = 3*m, p - 6043 = 3*m. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-686)\/46 - 13084\/(-150466).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*c + 20, -20*s + 15*s + c = -26. Let t be ((-4)\/6)\/((-4)\/30). Solve -s*h + t = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 divided by 3.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129804 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -355091\/16 > 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 1, 7\/342 in decreasing order.\nAnswer: 132, 1, 7\/342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136477?\nAnswer: 6136477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + 1. Suppose -r*q = -6*q + 356. What is the remainder when q is divided by 187\/8 + (-17 - 3591\/(-216))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124.8 - 110. Let s = 0.215 - 15.215. Let o = s + y. Which is the closest to -1? (a) 0.5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c - 2*c - 5*c - 178*c**3 + 0*c**2 + 176*c**3 - 2*c**2 + (-c + c - 2*c**2)*(2*c - 3 + 3).\nAnswer: -8*c**3 - 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9244.4 to the nearest 100.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-64 + 37) - -22\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -0.1 (c) -4 (d) -5\/6 (e) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*n + 217*n**2 - 50*n - 196*n**2 + 2*n**3.\nAnswer: 2*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100833725*h**3*w**2 + 3*h**3*w - 94*h**3 - 19*h**2*w - 4*h + w + 54 wrt w.\nAnswer: -201667450*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 196\/2*1\/2. Suppose 3*g - 4 = -z, -2*z + g - n = -6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 2, e: 2, g: 2, b: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2478, -2\/197, 0.2.\nAnswer: -13, -2\/197, 0.2, 2478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 3*u + 7590*w - 7551*w, -4*u - 5*w + 57 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 16*p - 16 = 0. Factor 12*q**p - 3*q**3 + 6*q**4 - 9*q**2 - 6*q**4.\nAnswer: 3*q**2*(q - 1)*(4*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v + 2. Let c be (5\/5 - -4)*1. Solve -3 = c*p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 + 3*k + 0. Let y(n) = 28*n**2 + 4*n - 8*n**2 - 26*n + 23*n. Determine y(i(p)).\nAnswer: 180*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9aa186 (base 13) to base 5.\nAnswer: -1413240441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*((2 + sqrt(612) + -1)**2 + -3) + 3)*5.\nAnswer: 180*sqrt(17) + 9166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301892382?\nAnswer: 2, 17747, 64853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 78055413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 19*p. Let a(o) = -o**2 - o - 13. Calculate a(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46201, -46668, -47135, -47602, -48069, -48536?\n\"Answer: -467*v - 45734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(121)\/sqrt(11) + 3) + -3)*-1)**2.\nAnswer: 36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 13*u + 2244 = 0. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1805\/224 or 8?\nAnswer: 1805\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*r + 620, 180 = 6*f - 7*f + 5*r. Let a = -201 - f. Which is bigger: a or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-213*f + 70*f + 552*f)*(-5 + 7 - 3) to the form q + u*f and give u.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -243196.7379 times 0.5\nAnswer: -121598.36895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y**2 - 6. List the prime factors of k(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 28*h**3 + 17*h**2 + 17*h - 3. Let r(o) = -9*o**3 - 140*o**2 + 213 + 64*o**2 - 6*o - 212 + 70*o**2. What is 6*j(x) + 17*r(x)?\nAnswer: 15*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.1 + 24. Let w = u + -12.9. Let h = w - -16. Which is the second biggest value? (a) h (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 33. What is the greatest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/2, 188, -4, -1 in decreasing order.\nAnswer: 188, 0.5, -1, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 50*p - 17*p = -10*p + 2800 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5 - 16\/5*z**2 - 2\/3*z - 14\/15*z**3 = 0. What is z?\nAnswer: -3, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-300)\/(-50))\/((-12 - 2 - 0)*-2). Which is the closest to q? (a) 4 (b) 1\/5 (c) 3 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from gllglllcc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.571 + -7.5700194. What is n rounded to 5 decimal places?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -190\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -45, -40, 770.\nAnswer: -45, -40, 6, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 16*t + 60. Let d = -31 - -16. Is l(d) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310 and 31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -24 - 48. Suppose -3*c - h = -2*z - 2*c, 4*c = -z. What is the least common multiple of 9 and 121\/z - (133\/(-28) - -5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 111231?\nAnswer: -111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(475))**2 + 3 - (sqrt(475) + 1 + sqrt(475))**2*2) + (-5*(sqrt(475) - (3 + -1 + sqrt(475) - sqrt(475)))*4)**2 + -1.\nAnswer: -8040*sqrt(19) + 192075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 954 = -r, -2*r + s = -s - 1884. Calculate the greatest common divisor of 43 and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:31 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433385 to the power of 1\/2, to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12446640 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 18*i - 1 + 6 - 2 in the form y + x*i and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 11868 - 11852 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.06 (c) 638 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 8.6, -2\/17?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15+2343738\nAnswer: 2343737.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = -4*d + 74, -3*d = j - 6. Suppose -899 = -13*l + 193. What is the remainder when l is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/7)*c**3\/c*(c\/(c\/c**(2\/9)))**40 assuming c is positive.\nAnswer: c**(668\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.35 (b) -0.1373481 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 b when four letters picked without replacement from {b: 10, y: 4, g: 4, x: 2}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (52\/48)\/(10\/18) and 73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let h(y) = -36*y**2. Calculate h(q(u)).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d - 156. Let p be l(9). Let r be p\/16 - (-10)\/((-240)\/(-639)). Solve -5*m - i = -25 + 4, 3*i = 3*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g + 7. Suppose -8 - g = 3*p - 3*d, -d = 3*p - 3. Solve -4*s - 3*a = -19, -2*s - 3*s + 4*a + 16 = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -75 - (121 + (89 - 191))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -5*a**2\/2 + 5*a + 29. Let s(w) = 6*w - 5. Let p(h) = -7*j(h) - 6*s(h). Let c(g) = -g - 3. Determine -7*c(i) + 4*p(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b**2 - 26 - b - 14*b**2 - 6*b**2 + 2*b**3 - b**3 + 1 - 1 + (-3*b**2 - b**2 + 7*b**2)*(-4*b + b - b) as w*b + f + x*b**2 + m*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1*(-2)\/(-3))*(-1175)\/705\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -7.0299.\nAnswer: 35.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1884, 3784, 5762, 7854, 10096?\n\"Answer: 6*r**3 + 3*r**2 + 1849*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -0.1, -2\/15, 2, 52 in increasing order.\nAnswer: -1, -2\/15, -0.1, 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:01 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) + (-2)\/(-4). Suppose 30 = 4*m + 10. Suppose -i - m = -f*i. Solve -s + 1 = i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*x + 2 - 2445*x**2 - 130*x - 129*x - 128*x + 522*x in the form w + s*x + z*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = t - 2*u, t - 3*u = 2*t + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(18\/11)\/q**(-2\/39))\/(q**(-10)*q**(1\/26)*q))**42 assuming q is positive.\nAnswer: q**(63959\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d**2 - 54*d - 101. Calculate the remainder when v(-2) is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/12)\/(((-42)\/294)\/((-18)\/(-21))). Which is the second biggest value? (a) -98 (b) f (c) 1 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 26*z - 92)*(4 - 2 + 0).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 20*z + 14. Give i(-14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -157, -96, -33, 32, 99, 168, 239?\n\"Answer: a**2 + 58*a - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 2*c + 2. Let b be (1 - 10\/14)\/(4\/14). Let d be v(b). Suppose 0*w - 5*g = 4*w, 0 = 2*w + 5*g. Solve -d*a + w*a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1793 + -0.179299995. Round a to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -40*j - 275. Let z be q(-27). Suppose 5*n - 25 = 0, 0 = -39*k + 34*k + 2*n + z. What are the prime factors of k?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 0.07\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 549494 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huchuueeuuuuueuhee. Give prob of sequence hh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 54 + 29 - 5*y - 52. What is the remainder when u(-14) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -257591\/7502?\nAnswer: -257591\/7502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -1, 2\/81, -2, 37.9?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6525 by 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 2*c. Suppose -5*f + 16 = -c*j, 0 = 3*f - 3*j - 6. Suppose -f = -4*h + 47. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 3*j = -95. Suppose 4*u = 2*k + 12, -6*k = j*u - 4*k - 6. Find t, given that 1\/2*t**u + 1\/2 + t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 + 2*p + 5*p + 3*p - 3*p wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 20*p - 2*l = -28, -3*p = 5*l - 48. Suppose 2413 = p*z - 1349. Calculate the greatest common divisor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 26*y**7\/105 - 5*y**3\/6 + 46*y**2. Differentiate s(o) wrt o.\nAnswer: 208*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7605d + 11?\nAnswer: 7606e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3 and 48.69106?\nAnswer: 47.39106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(176) + 1 + sqrt(176) - sqrt(11)))**2 + sqrt(55)\/(sqrt(5) - sqrt(20)\/sqrt(4)*3).\nAnswer: 111*sqrt(11)\/2 + 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 1, d: 3, s: 5, q: 1, f: 2}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*r - 4*r - 5*r)*(-2 - 1 + 4)*(-3 + 4 - 3) as x*r + v and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13) + sqrt(13))**2*-3 + sqrt(13) + sqrt(130)\/(sqrt(10) + sqrt(20)\/sqrt(2)).\nAnswer: -39 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -160\/9. Find the common denominator of 19\/1487 and k.\nAnswer: 13383","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(2800) + sqrt(2800) + -1)**2*-4 + -3)*1*6.\nAnswer: -23040*sqrt(7) + 3226104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o*o*o**3\/o*o)\/((o**(1\/12)*o)\/o**(3\/7)))\/((o\/o**(2\/3))**(1\/31)\/(o**(2\/3)*o*o*o**(2\/11))) assuming o is positive.\nAnswer: o**(116323\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 510*g**3 + 1548*g**2.\nAnswer: -2*g**2*(g - 258)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 142*b**2. Let a(d) be the first derivative of 0*d + 0*d**2 - 54 + 1\/3*d**3. Give y(a(o)).\nAnswer: 142*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 3\/2*b**3 + 13\/60*b**5 - 9*b**2 + 0*b + 1\/120*b**6 - 2\/3*b**4. Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 108d56 (base 14) to base 10\nAnswer: 562400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 386567100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 48835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from sppuekpkllll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 321, 679, 1181, 1827, 2617, 3551?\nAnswer: 4629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w - 56*w = 69*w + 133*w + 12803 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from umummummmmmm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-117) + (-5405)\/(-65). What is the derivative of 7 - 2*v**2 + 51*v + 27*v + c*v + 0 wrt v?\nAnswer: -4*v + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uijujjjujijijjjiwj. Give prob of sequence wiu.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + x)*(5262 - 293*x**2 - 5262) - x**3 - 2 + 2.\nAnswer: -294*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81156 and 512.\nAnswer: 10387968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3488)\/(-28))\/4*((-360)\/3360)\/(18\/(-588))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44632 = z - 580569. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 40*g\/3 - 14875\/2.\nAnswer: (g - 255)*(g + 175)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - -67) + -106 - (42 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*h - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-82 + 35 + -14) - 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -223, -231, -197, -121, -3, 157?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - 50633*k + 304062. What is o(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + d + 7*d. Let m be h(1). Solve 6 = 2*o - 4*u, 5*u + 4 + m = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7582 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 484 and 289432?\nAnswer: 289432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -544.4?\nAnswer: 1088.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8159 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 smallest value in 5\/18, -18, -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let w(m) = 493*m + 792*m - 1632*m. Give w(u(c)).\nAnswer: -347*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i + 5. Suppose 3*z - 4 = 2*z. Suppose z*l - 140 = -l. Calculate the remainder when l is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2904, -23221, -78366, -185757, -362812?\n\"Answer: -2903*g**3 + 4*g**2 - 8*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/(-63) - (-4)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3 - 657188801*s + 1137355133.\nAnswer: -6*s**2 - 657188801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780681 is divided by 673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 8*b - 65. Suppose m - b = -8. Suppose -3*r + m*s = -70, 0*s - 24 = -r + s. Solve -f - r = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 1582 = -2098. Let i = 443 + f. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -5 - 4. Let o be (s + 1)*(-12)\/(-24). Suppose 0*r - 2*r = -3*m + 475, -2*r - 4 = o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (17 + 10)) + (3 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:35 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*a - 350*a + 215*a**3 + 259*a**3 + 179*a.\nAnswer: 474*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-39)\/(-26))\/((-3)\/4). Let a be i\/(-5) + (-1206)\/(-10). What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3092546, 3092528, 3092510, 3092492, 3092474?\nAnswer: 3092456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:47 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 7097 = -47*l + 13063. Which is smaller: 555 or l?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3971 - -0.3971014977. What is d rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*k + 82*k**4 - 180*k)*(12 + 9 - 7) - 3*k + 4*k + k**4 + 0 + 2.\nAnswer: 1149*k**4 + k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*(10 - 59). What is the highest common factor of k and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2*s**2 - 3*s**2 + (-s**2 - s**2 - s**2)*(4 + 0 - 2))*((2*s - 2*s + s)*(1 - 5 + 5) - 6*s - 5*s - 6*s + s - 4 + 4).\nAnswer: 105*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/12 and 1\/284.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 9*q - 22 = -2*i, q = 4*i + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.3 (b) 0 (c) 1 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**4 - 10*h**3*y - 2*h - 3*y + 98 wrt h?\nAnswer: 12*h**3 - 30*h**2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**2 - 1 + 2*v**3 + 9*v - 3\/2*v**4. Is q(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 62. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 22 - 28 = 0. Suppose 5*a - 2*a = i. Suppose 39 = 3*h + a*l, h + 2*l = -0*h + 13. Calculate the highest common divisor of h and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -x + 210 - 203, 2*x - l - 16 = 0. Calculate the remainder when 187 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5209 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -173412 - 124796. Let h = u + 981792. Suppose 4*s + h = 2*s - 4*p, 3*p + 1920000 = -3*s. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3231 and 32476935.\nAnswer: 97430805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97991 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 6*s - 10. Suppose 4*z = -8*q + 7*q - 21, -4*q - z + 6 = 0. Let f(o) = -4*o**2 - 5*o + 11. Give q*m(k) + 4*f(k).\nAnswer: -k**2 - 2*k + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (170\/4)\/5 + -1. Let u = 7 - l. Suppose -3*h = -2*h. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/6 - (-25)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/9 + 157\/18. Find the common denominator of (-4988)\/948 + -1 - (25 + -31) and z.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2869\/77 - 413\/11. Let f = -55 + 8. Which is the second biggest value? (a) f (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 - 7*r + 110 = 0. What is r?\nAnswer: -22\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 5*i + 4. Let h be r(-6). Let j(c) = -3*c**2 - 3*c - 1. Let f be j(h). Let s(w) = -96 - 90 + w - 94 + 294. Give s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 92*d**2 + 249*d + 1605. Let t be k(89). Suppose 8100\/13*w - 6750\/13 - 1440\/13*w**2 - 2\/13*w**4 + 92\/13*w**t = 0. What is w?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 20982221 and 0.459.\nAnswer: 20982221.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 2215*u - 171647. Determine g(75).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and -121\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 13 = -4*p + 5*b, 0 = 5*p + 2*b. Suppose -2 = -p*n, 5*l + 4 - 95 = -n. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23314 * 65.\nAnswer: 1515410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.074? (a) -2 (b) 0.2 (c) 11 (d) -16\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2489976, 4979909, 7469844, 9959781, 12449720, 14939661?\n\"Answer: l**2 + 2489930*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*2\/120*4*5\/(-15). What is the nearest to -7 in 4, o, -81?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 246392\/11?\nAnswer: 246392\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1104089, -3, 2 in decreasing order.\nAnswer: 2, -3, -1104089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4733301*y**3 - 2458275 with respect to y.\nAnswer: 14199903*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 7614952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 3090 = -483*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 - -298. Suppose -3*q - 1051 = -v*z + 809, -5*z + 2325 = 4*q. What are the prime factors of z?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1848)\/(-6864)*(-8)\/7\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 14)*(-4)\/(-2). Suppose i = 4*p - s, 12*p - 8*p - 24 = -4*i. Let d(a) = 5*a - 1. Let n be d(1). Which is bigger: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.91 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 471849 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*o + 67, -65*o + 112*o - 221 = 5*c + 58*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.096 - -2.796. Put -0.2566, -4\/7, m in ascending order.\nAnswer: -4\/7, m, -0.2566","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1799 and 1285.\nAnswer: 8995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1502215 by 605.\nAnswer: -2483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 13*w**2 - 37)*(-1 + 10 + 1) in the form o*w**2 + q + z*w and give o.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129997.\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - x - 26. Let z be k(-9). Let l = 370 - z. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*b + 18, -2*b = -4*d + d + 5. Let t(f) = f - 1. Let l(v) = -2*v**2 - 1. Determine d*l(m) + t(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/3)\/d*d)\/d**(-3))\/(d**5*d**(-2\/5)))\/((d\/(d\/(d*d**(-1))))**(-40)*(d**(-7)*d*d*d)\/(d\/d**(1\/9)*d)) assuming d is positive.\nAnswer: d**(133\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**2 - 36*f - 12. Let j(l) = l**2 - 3*l - 1. Let h(x) = -12*j(x) + y(x). Let z(t) = -7*t**2. Calculate z(h(p)).\nAnswer: -112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219129036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(4 - 9 - -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-24)*-76*3\/(-2). Sort t, -4, 5, 0 in ascending order.\nAnswer: -4, 0, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 1. Let r(s) = 9*s**2 - 2*s + 5. Let i(q) = -18*q + 60. Let y be i(3). Determine y*b(x) + r(x).\nAnswer: 3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009637158 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 + (-232)\/(-16))\/((-32)\/(-128))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874515505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -280531*x**3 - 690*x + 345. Let p(i) = 1631*i**3 + 4*i - 2. Calculate 345*p(u) + 2*r(u).\nAnswer: 1633*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -913 and 3.\nAnswer: -2739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 15 + 1 = 0. Let r = 4 - w. What is the remainder when (48 + (2 - 3))\/1 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*m - 146 = -0*m, 3*d + 224 = -5*m. Let r = -244\/3 - d. Find the common denominator of r and 34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/7 - 36*j**4 + 3576*j**3\/7 - 10170*j**2\/7 - 32091*j\/7 - 18090\/7 = 0 for j.\nAnswer: -1, 9, 10, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**3 + 208*u**2 - 1514*u - 39367. Determine j(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 3, e: 2, t: 1}. Give prob of picking 1 e, 1 s, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1246*m**4*z - m**3 - 10*m**2*z + 2*m**2 - 175*m*z - 3008*z wrt m?\nAnswer: -14952*m**2*z - 6*m - 20*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (80 + -27) - -16\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 129 + 51. Let u = y - 43. Solve -u*g - 8 - 2 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j + 11780 = -649*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/8)*k)\/k**6)\/(k**(1\/12)*k**(-3\/4)))\/((k**(1\/2))**(-31)*k**3*(k**5*k)\/k) assuming k is positive.\nAnswer: k**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57953 - -57926.9476. Let o = -45.05295 - x. Let v = o - -19. Round v to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/7*f**3 + 1\/735*f**7 - 1\/70*f**6 + 0 + 0*f + 2\/35*f**5 + 3*f**2 - 5\/42*f**4. Factor d(s).\nAnswer: 2*(s - 3)*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3.68\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66814518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, -0.12, 4\/315 in decreasing order.\nAnswer: 4\/315, -0.12, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -13 + 5 + (-7 + -1 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -115 and -571\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111006 - 256?\nAnswer: 110640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:10 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 7*a**4\/12 + 6*a**2. What is the tens digit of d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 198*z + 96. Let y(v) = -v**2 - 2*v. Let o(p) = -g(p) - 2*y(p). Factor o(b).\nAnswer: -2*(b + 48)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 j when four letters picked without replacement from {d: 2, j: 2, w: 4, n: 1, z: 3}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910749915404731*h**3 + 0*h - 910749915404729*h**3 + 0*h + 0*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1836160 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, y: 5}. What is prob of picking 4 b?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6802, -6729, -6534, -6157, -5538, -4617, -3334?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 + 13190 + 3202 = 725*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1377 - -1487. Solve -t*l + 119*l = -18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (1 - (-2 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 6. Let d(r) = -5*r + 1. Let x(s) = -11*s + 2. Let w(n) = -13*d(n) + 6*x(n). Suppose f - 21 = -7. Give f*w(b) + 2*q(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 4:25 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5614*g + 23534 = 1078 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 24*y + 69. Let v be g(-21). Suppose v*j - 9290 + 1736 = 0. Suppose -2*b + j = -635. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2735958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*u**2 - 16*u + 7*u + 8*u + (-1 - 1 + 3)*(u**2 - 2*u + 2*u) - u**2 + 3*u**2 - 3*u**2 + (6*u - u - 4*u)*(-1 + 1 - 2*u) + 35*u**2 - 5 + 5.\nAnswer: 23*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31436, 31446, 31456?\n\"Answer: 10*c + 31426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -207*c + 210*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -19. Suppose 0 = 3*b + 2*d - 12, -5*b - v*d + 16 = -0*d. Find p such that -6\/5*p + 2\/5*p**b + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26980899 is divided by 400?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(224))\/(sqrt(63)*-5) - ((sqrt(6)\/sqrt(3) + -5 - (sqrt(2) - (1 + sqrt(8) + sqrt(8)))) + -4))**2.\nAnswer: -1024*sqrt(2)\/15 + 22592\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1968*r + 1967*r = 0, 0 = -4*i - r - 52 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3506476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8965\/825 + -11)*50\/120\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326 and 16.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 29 + 15. Let j(h) be the second derivative of -5*h**3\/6 - 4*h**2 - 3*h. What are the prime factors of j(k)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -1.7. Put i, 2, -2\/5, -6 in decreasing order.\nAnswer: 2, i, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 2. Let r(a) = 5*a**2 - 3. Suppose 4*t - 4 = 3*s, -2*s = -5*t + 4 - 6. Give t*r(h) + 3*j(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 120267, 2, -3\/4 in decreasing order.\nAnswer: 120267, 2, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 114. Let d(y) = -y**2 + 2*y + 6. Let z be (-1)\/(-2 + (-14)\/(-6)). Let m(u) = -u + 1. Let v(x) = z*m(x) + d(x). Calculate v(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 14. Let t be k(24). Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/190 - 4*g**4\/57 + 669*g. Determine d, given that s(d) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 5*d = -5, 0 = -2*d - 4. Suppose -x - n + 4 = x, 4*x - p*n = -6. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*f - 44612 = 2330*f - 1245*f for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581756 is divided by 1879?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 5*u - 75 = 0, -2*u - 24 = 2*s. Let g be 0 + (s\/(-3) - 2). Solve 0*a = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -55*q + 6. Let z be m(-4). Let b = 503 - z. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggqgggggggqg. Give prob of picking 2 q.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50865 - 20399. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from wwnhwhnwnwwwwnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.6, -9\/163?\nAnswer: -9\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1168610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 207\/4, 1\/3, -3, -5, 101, -2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1517481 and 6069924.\nAnswer: 6069924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/19*o**2 + 18\/19 + 12\/19*o.\nAnswer: 2*(o + 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17428\/20 - (196\/(-35) - -6). Let h = -169 + t. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 4) + 2 + -1. Let z = b + 7. Suppose x + 2*l - 34 = 0, 0 = x + l + z*l - 37. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 2178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e5f40e + 4?\nAnswer: 1e5f412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*p + 0)*((-2*p + 2*p - 2*p)*(6 - 4 - 3) + 0*p + 2*p - p + (4 + 2 + 5)*(-3 - 2*p + 3) - 2*p + 0*p + 5*p) to the form a + f*p + k*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650036 is divided by 4741?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17 and 7\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1779042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, 4, 497, 7, -1 in increasing order.\nAnswer: -4, -1, 1, 2, 4, 7, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from xyfy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21*b**2 + 18*b - 432. Let d(l) = -2*l + 23. Let g(s) = -18*d(s) - x(s). Let j(a) = -a**2 + a + 1. Calculate g(q) - 18*j(q).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1630*i**4 + 1689*i**4 - i**2 - 2820*i**4 - 1 + 2*i to n*i + r*i**2 + p + c*i**4 + q*i**3 and give c.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 209539.\nAnswer: -3\/209539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*k = -w + 60, 0 = -3*w + 4*k - 49. Let z = 13 + w. Find the third derivative of -s**2 + 4*s**z - 13*s**5 + 8*s**5 - 4*s**5 wrt s.\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968001 is divided by 281134.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377) + -1)**2.\nAnswer: -36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2421311 (base 7) in base 2?\nAnswer: -1001011001001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/18*1*3. Let l = 0.2 - 0. Let s = 0.8 + l. What is the nearest to s in p, -1\/8, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -157799.\nAnswer: -2\/157799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h - 16 = 4*x + 35*h, -2*x - 3*h = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 13 = 19*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*o + 23, v + 13*o + 209 = 325 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 - u**2 - 2*u + 3. Let n be v(2). Suppose 0 = -2*f - n*f. Solve f = -s - 2 - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + (5 - -1) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1188.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/(10*(-98)\/(-1680))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27921, 55834, 83747?\nAnswer: 111660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -28*k**2 + 3*k. Let h(o) be the second derivative of -71*o**4\/6 + 8*o**3\/3 - 22*o. Let m(i) = 3*h(i) - 16*r(i). Let p(b) = -b. Give m(p(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -164*j**2 - 6887*j + 40. What is l(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let b(j) = 2*j + 1. Let m(a) = -3*b(a) + 7*h(a). Calculate m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161813 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Let t = g - 8. Let v = -3 + 2. What is the second biggest value in t, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - j + (0 - 1 + 2)*(13 - 2*j + 6 - 8).\nAnswer: -3*j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((1 + sqrt(75))*4 - 5*(sqrt(75) + (sqrt(75) + -2 - sqrt(75))) - (0 + 1 + sqrt(75) - sqrt(75) - 6*(-2 + sqrt(75))))*-4)**2.\nAnswer: 800*sqrt(3) + 30013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, 11024 in descending order.\nAnswer: 11024, 19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11450350.57 rounded to the nearest 1000?\nAnswer: 11450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*g**4 + 9*g**2 - 3214 with respect to g.\nAnswer: 544*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*c - 56 = -3547*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24920259?\nAnswer: 3, 7, 13, 91283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 22. Let w be p(9). Let y be -1*(3 + 8) + 3 + w. Is y + 6 + 8791 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*5)\/(sqrt(576) + (sqrt(576) - sqrt(576)*3)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734585647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3664)\/(-176) + (-63)\/3. Let k be (4\/(-3))\/(1\/(-12)). Let b be (k\/5 - 1) + -2. What is the third smallest value in u, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(4\/3)\/u)\/((u\/u**(-2\/27))\/u))\/(u*u*u*(u**(-2)\/u)\/u*u*u)**(-12\/11))\/((u**(1\/3))**15\/(u**7\/(u*u**(2\/17)))) assuming u is positive.\nAnswer: u**(16321\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12960178733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 0) + (70 - (40 + 15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 13*l + 14. Let c be h(-12). Suppose -3*j + 10 = -c. Put 0, j, -3 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 256. Suppose 2*c - u = 76. Let s = 153 - c. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 51*d + 5*s + 20 = 0, -4*d - 2*s - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - 27.44. Let w = 28 + y. Let m = 0 - 0.4. Which is the biggest value? (a) w (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -191*s - 15. Let v = -175 - -174. Let q be c(v). What is the greatest common divisor of q and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/12 + 4*d**3\/3 + 4*d**2 - 6*d + 18. Give a(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12810 and 3294.\nAnswer: 115290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioqjomi. Give prob of sequence qoii.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (9 - 10) - (10 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-738)\/2460)\/((-18)\/4920)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k - 3. Let h be g(6). Let u = h - 20. Let x(v) = -2*v + 2. Does 6 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 3\/7, 0.045, -2.7 in descending order.\nAnswer: 3\/7, 0.05, 0.045, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 441231.\nAnswer: -441229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1452 - 6426 - 21*p - 88*p - 164*p wrt p?\nAnswer: -273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 32*c**2 - 14*c - 291. Determine l(-16).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 21 + 24*l - 12*l + 23)*(-25 + 9 - 36)*(-2 - 1 + 2).\nAnswer: 156*l**2 + 624*l + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 14*f - 12 = 0. Put f, 5, 4, -4 in ascending order.\nAnswer: -4, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195771833?\nAnswer: 877, 223229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = l + 36 - 12, 0 = 2*l + 8. Suppose -p*j = 3*j - 35. Solve 3*u = -j - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -9058799078815.\nAnswer: -9058799078814.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/44 (b) 99 (c) -2\/11 (d) -3\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d + 0*d)*(3 - 1 + 2)*(-6 - 4*d + 9 + 3*d).\nAnswer: 4*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 - 1)*(3*m + 0*m - m) - 48*m - 21*m + 12*m)*(-m**3 - 9 + 9 - 6*m) to the form q*m**3 + h*m**4 + u*m + l + c*m**2 and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**3 - 4*k**2 - 469. Let u(q) = q**2 - q + 78. Give -c(l) - 6*u(l).\nAnswer: -9*l**3 - 2*l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjoojoohuoo. What is prob of sequence hjhh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49293, -97640, -145989, -194340, -242693, -291048?\n\"Answer: -n**2 - 48344*n - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/5 - q**4\/6 - 11*q**3\/6 - q**2 + 8*q - 7. What is the second derivative of x(p) wrt p?\nAnswer: 24*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**2 - 5 - 117*k**2 + 5. Let o(u) = u**2. What is i(o(r))?\nAnswer: -132*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18490 and 586.\nAnswer: 5417570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-3)\/4)\/(32\/(-1152)) and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 6 - 28*i + 101*i.\nAnswer: 73*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 0*s + 5*s + 16*s**3 + 6 - 36*s**2 - 17*s**3 + 31*s**2. Let b(x) = -3*x**3 - 14*x**2 + 14*x + 17. What is 6*b(d) - 17*f(d)?\nAnswer: -d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-4)*n\/(n**2\/n))\/(n\/(n**5\/n)*(n\/(n**4\/n))\/n) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -16. Is (-166)\/(-6) - s\/(-12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/8578297 and 115\/272636?\nAnswer: 240192316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*p + 85, -30 = -3*p + 18*y - 15*y - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -33.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:38 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h**4 - 284*h**3 - 536*h**2 - 400*h - 96 = 0. Calculate h.\nAnswer: -2, -1, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*u**4 + 2847*u**3 + 80475*u**2 + 748125*u.\nAnswer: 3*u*(u + 25)**2*(11*u + 399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3255763 times -0.08\nAnswer: 260461.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 125067372?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12641, -12642, -12643, -12644, -12645?\nAnswer: -12646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h**3 - 6*h**2 - 199?\nAnswer: 15*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s**2 - 26*s**2 + 42*s**2. Let c(l) = 136*l - 103*l + 1 - 2. Determine n(c(x)).\nAnswer: 1089*x**2 - 66*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 5, n: 5, h: 5}. What is prob of sequence nn?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let d(m) = -6*m**2. Let h(a) = 2*d(a) - 4*i(a). Let n(v) = 24*v**2 + 13*v**2 - 70*v**2 + 23*v**2. What is n(h(q))?\nAnswer: -640*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5449083, 10898058, 16347033, 21796008, 27244983?\nAnswer: 32693958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 - (-7 + 26)) - -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, -5*o - 1 = 3*n + 4. Let r(q) = -221*q**3 + q**2. Let w be r(o). What are the prime factors of 1 - w\/(-3 + 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5090877 and 41175.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/33453 and 37\/43011?\nAnswer: 301077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/34 + (-4 - 3\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/129 and -32\/5.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -57*n**2 + 3*n - 3. Let r be j(3). Let v = 1591\/3 + r. Let p = -23 + v. Are p and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, -3\/4, 0.2, -4, 786 in descending order.\nAnswer: 786, 0.5, 0.2, 0.1, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 + 11*u - 2. Let a be t(-2). Let z be a\/(-735)*14\/4. Suppose 5*o - 4*o = 3. What is the closest to -1\/2 in o, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1621*n. Let x(t) = 291*t**2. Calculate u(x(q)).\nAnswer: -471711*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - -205.154. Let t = s - -0.9. What is t rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 2 p when four letters picked without replacement from pwwzwwpwwwwppnpozw.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 3*t = -43*s + 1, 5*t = 2*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -604, -1118, -1644, -2188, -2756?\n\"Answer: -g**3 - 507*g - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 91*w**2 - 2*w - 93*w**2 + 5. Let c be x(-3). Let g(f) = -f**2 - 9*f - 15. Let m be g(c). Calculate the highest common divisor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18374717 to the power of 1\/2, to the nearest integer?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 117489 plus -0.1?\nAnswer: 117488.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1171530?\nAnswer: 1171534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/54100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g - 16. Let a(r) = -13*r + 15. Let u = -95 + 101. Let x(v) = u*w(v) + 7*a(v). Let n be x(9). Are -1.9 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 10*p**2 + 7. Let a = -50 - -60. Let y be m(a). Let j(c) = -c**2 + 8*c - 6. Calculate j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -11, -61, -131, -215, -307, -401?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.33 and -5896.\nAnswer: -279057.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(243)*-2)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1900, -3, -1, -19\/4 in descending order.\nAnswer: 1900, -1, -3, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-1128)\/(-20)*(-115)\/92)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 7.8. What is the closest to 0 in c, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/110 - 4*t**4\/33 - 4*t**3\/11 + 7*t + 1. Factor f(p).\nAnswer: -2*p*(p + 2)*(p + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-28)\/6. Let b = 84 + -38. Let h = b - 44. What is the closest to h in w, -3\/8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*c - 13, 17 = 5*a - 4*c + 3*c. Let p be 1\/a + 990010\/6. Let d be -5 + 3 - (p + -4). What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(891) + sqrt(891) + -1)**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m + 8, 5*m + 40 = 4*b. Find the second derivative of -150*u**5 + 75*u**5 + 25*u + 55*u**b wrt u.\nAnswer: -400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(36\/13) - 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -753.098 and 3.\nAnswer: -2259.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + p**2 - 3*p + 3*p + 0*p**2 to the form d*p**2 + h*p + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h + 857*h**3 + 734084*h**2 + 26 - 7437*h**3 + h - 734083*h**2 wrt h?\nAnswer: -39480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4855389 and 6501?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*u**2 + 279*u + 164*u**2 + 555 + 162*u**2 + 153*u**2 + 513 = 0.\nAnswer: -89, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47240*n**4 - 2*n**3 + 220*n**2 + 86*n - 1.\nAnswer: -1133760*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -497 - -506. Suppose -10 = 2*f - 4*f. Find the common denominator of g and -1 - (2 + 6\/f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2835*y**3 + 24806256*y**2 - 815571435*y + 1725966 = 0.\nAnswer: 2\/945, 33, 8717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -203514624?\nAnswer: 203514624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/57? (a) -0.3 (b) 0 (c) 2\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015792312 rounded to 7 decimal places?\nAnswer: 0.0001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(5103) + sqrt(5103) - sqrt(63))*2)\/(sqrt(72)\/(sqrt(72) + (sqrt(72) - -1*sqrt(72)))).\nAnswer: 3 + 630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 6\/8 + -2 + 31562\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353760149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 46967*v - 2*v**2 - 6*v**2.\nAnswer: v**2 + 46967*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -771134901, -771134902, -771134903?\n\"Answer: -n - 771134900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 10*q**2 + 0*q - 4*q**3 + 1\/2*q**4. Differentiate v(y) with respect to y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = r + 22, 4*r + 23*i + 61 = 22*i. Let w(p) = p**2 + 15*p - 20. What is w(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26595 - -26595.00024934. Round r to six decimal places.\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1) + (-1361591 - 0). Let d = 14038416 - c. Suppose u = -f + d, 3*u + 5*f = -0*f + 46200020. What is u rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-18))\/((-20)\/(-35205)). Let o = k + 1978. What is the common denominator of o and (3\/(-36))\/(2\/(-436))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/4304758204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q + 79. Let m be z(6). Solve 0 = o + 3*h - 2, m*o - 4*h = 16*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5125.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2125\/5688 + 1\/711. Which is the closest to -8? (a) -1 (b) f (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:12 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325516153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-3075675)\/(-184) - -12) + 6\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:11 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2. Let d(w) = -12*w. Calculate p(d(x)).\nAnswer: 1008*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72528 and 6674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.747513 + 202942.22?\nAnswer: 202938.472487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*p + 47*p - 223*p.\nAnswer: -867*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*k - 20*k + 16*k)*(5*k + 3*k - 2*k)*(-7*k**3 - 5*k**3 - k**3).\nAnswer: 2652*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -5*z**2\/2 + 11*z + 5. What is the derivative of d(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 57*b + 1. Let z be a(1). Let s(y) = -y - 58 + z. Let m(v) be the second derivative of 4*v**3\/3 - 3*v. What is m(s(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -124?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/(-2) - (-70)\/25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 - 5*h - 4. Let p(a) = -a + 19. Let x be p(15). Determine r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -83 (c) 6078 (d) -1.3 (e) 0.2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**3 - 10*g**2 - 4*g + 7. Let s(v) = -2*v**2 - v + 2. Give f(r) - 4*s(r).\nAnswer: 12*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/35)\/i*i**6 assuming i is positive.\nAnswer: i**(177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053796598 rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89365389*v**6 - v**2 - 78012*v - 5?\nAnswer: -10723846680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 5*r - 1341. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/180 + (-1 - -3))\/(12\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4974)\/13264*(-56)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Suppose c = 3*i - i - 28. Suppose -g = g - i. Calculate the remainder when 19 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h**2 + 49*h**2 - 145*h**2 + 65*h**2.\nAnswer: 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-26)*((d*d**(-2)*d)\/d)**(-22) assuming d is positive.\nAnswer: d**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 106942\nAnswer: 106942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1299277588 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 0.4, 3, -89, -0.202 in descending order.\nAnswer: 47, 3, 0.4, -0.202, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-54)*3*(-12)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x. Let l = -5 + 2. Let m = 1.6 + -1.7. What is the nearest to -2\/3 in x, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/((-20)\/(-36)*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -213, 308, 1037, 1974?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575328637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 958900 and 4698610.\nAnswer: 46986100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 1. Let q(p) = -p**3 - 3*p**2 + p - 3. Let m(y) = q(y) + u(y). Let w be (3 - 0) + (-6 - 1). Determine m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112357 and 2?\nAnswer: -224714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-15 - 3)) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0, 1, -3275, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 5.11097621?\nAnswer: 2.11097621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2819 (b) -0.2 (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -404, -1348, -3190, -6230, -10768?\nAnswer: -17104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -687 + 389. Let p = 298.0418 + o. What is p rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9038 divided by -8.\nAnswer: 4519\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*q**5 + 14*b**2*q - 56*b*q**5 + 3*b + 3*q**2 wrt q.\nAnswer: 120*b**2*q**2 - 3360*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8395*k + 27270 + 23100 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 + 1600292*m**3\/9 + 8*m**2\/9 - 6401168*m\/9 = 0. What is m?\nAnswer: -2, 0, 2, 800146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(468).\nAnswer: -2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8231324 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7*c + 20, 3*h = 3*c + 6. Let s = 5 + -6. Let j = s + -2. What is the nearest to 0.2 in j, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-15\/8))\/(g\/(g\/(g**(3\/11)\/g))))**31)**(-43) assuming g is positive.\nAnswer: g**(-422561\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 395, 403, 411, 413, 403, 375, 323, 241?\n\"Answer: -n**3 + 6*n**2 - 3*n + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)\/(g*g**(2\/15))*(g**(-1))**(2\/25)*((g**2)**(-38\/7))**(-1\/9) assuming g is positive.\nAnswer: g**(1249\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1230, -2461, -3692, -4923?\nAnswer: -6154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 110. What is the remainder when p is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 10 = 8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -21, -45, -79, -123, -177, -241?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098885?\nAnswer: 5, 419777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3.5. Let q = 17.2 + -17. Which is the smallest value? (a) q (b) n (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385321, -1541347, -3468059, -6165457, -9633541, -13872311?\nAnswer: -18881767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -21. Let m = 9 + -7. Sort 6, m, -1, t in descending order.\nAnswer: 6, m, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38842586 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 534*x + 2195. Let y be h(-4). Which is smaller: y or 414\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157824884 to the power of 1\/2, to the nearest integer?\nAnswer: 12563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 = -4*h. Suppose -i = 3*i - h, 2*b + 18 = 5*i. Let t(v) = 17*v**3 + v. What is the smallest common multiple of 12 and t(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4 - 7*h**2\/2 + 15. Find the second derivative of z(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-10))\/((-26)\/(-1885)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 + 4*g - 25. What is the remainder when 39 is divided by l(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:43 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221 + 11?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 3*g**2 + 6*g + 3. Let w = 264 - 259. Let u(p) = -427 + 3*p**2 + w*p - 4*p**3 + 429 - 5*p**2. Give 3*u(q) - 2*x(q).\nAnswer: -2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r. Let u be r - -1 - (15 - 18). Let q be -3*(1 - 34\/6). Solve n + n = -u, 4*w + q = -n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147956881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 633\/5 + -127. Let j = -0.1 + 0. What is the nearest to v in -5, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174306*o**2 - 114*o + 27890512?\nAnswer: -348612*o - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78117 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -3.1. Let i = 2.9 - 5.2. Let f = d + i. Is 2\/3 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 129, 44, -57, -174, -307, -456?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 53270?\nAnswer: -53267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 136579372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -311.2874035 from 76516.\nAnswer: 76827.2874035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/4 - 1\/4. Which is the closest to q? (a) -2 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 5, n: 4, q: 1}. Give prob of picking 2 t and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13131?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -166\/223, -13, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 29 = -c + 26, -2*c = -5*f + 11. Suppose 55 = 4*o - 5. Calculate the remainder when o is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t - 11. Let r(f) = f**3 + 10*f**2 - 2*f - 14. Let u be r(-10). What is the remainder when x(u) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*y**2 - 73*y**6 - 98*y**2 - 35 - 5*y**6 - 23*y**6 wrt y.\nAnswer: -12120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64374, 128456, 192538, 256620, 320702?\nAnswer: 384784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-55)\/25?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*g)*(6*g - g - 3*g)*(1 - g - 1)*(5 - 2 - 10).\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 724339 by 4499.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 52. Let a = f - 32. Solve -3*i + 15 = -5*c - 1, -a*i - 4*c = 35 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (10*(56\/(-35) + 2) + 0). Solve -4*x - 4 = 2*i, 13*x - c = 16*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 17*c + 263. What are the prime factors of 3 - c\/2*2*1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-64)\/(-8))\/(4\/(-6)). Let v = -8 - p. Solve 3*h = -7*n + 2*n - 31, -4*h - 28 = v*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150b5 (base 15) to base 6.\nAnswer: -1241142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5893\/3 - 1964. Let u(y) be the second derivative of 0 - 7\/2*y**2 - 5*y - z*y**3. Let o(p) = -p - 4. What is 10*o(m) - 6*u(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-30) + 1\/(18\/(96\/(-16)))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.08805507\nAnswer: -0.008805507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 4608 = -493*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 10204242.2891.\nAnswer: 10204241.8891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(1 + 3 + -6). Let r be ((-314)\/(-4))\/(102\/2). Let x = 2\/51 - r. Is x less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(1 + (sqrt(175) + 1 - sqrt(175)) + 6*3*sqrt(175)))**2*-1.\nAnswer: 4320*sqrt(7) + 680448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = y + 17*y. Suppose -4*c + 183 = z, -135 = -6*c + 3*c - 3*z. What is the highest common divisor of y and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(-288)\/(-30)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/36 and -53\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**10*d*d\/(d\/d**(-2\/5))*d**(-1))**11 assuming d is positive.\nAnswer: d**(1078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16.77*-2\nAnswer: -33.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 - -2.18. Let g = 5 - 4. What is the nearest to g in d, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315685 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -35379?\nAnswer: -140\/35379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-1)\/(-2)*-1) - -11. Suppose n - 1 = 2*x. Solve x*k + 19 = 2*j - 1, -2*j - 16 = 5*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - (7 + -1 + -8)) + 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523758.\nAnswer: 2, 269, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14441*b - 61 - 38 = -14450*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*n + 52*n - 121*n as x*n + h and give x.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - 19*c**2 - 8*c - 3. Let f(v) = -12*v**3 + 39*v**2 + 19*v + 7. Give -2*f(o) - 5*w(o).\nAnswer: -o**3 + 17*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2122, -1680 in descending order.\nAnswer: 30, -1680, -2122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -492*n - 11804. Calculate p(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358180, -358181, -358182, -358183, -358184?\nAnswer: -358185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4087431?\nAnswer: 3, 454159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/36)\/(2\/12). Suppose p - c = d, -p - 2*c = -c - 10. Suppose -8*j = 14*j + 66. Is j > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 2\/717, -5, 0.3, 426 in decreasing order.\nAnswer: 426, 0.3, 0.1, 2\/717, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25. Suppose j*r - 12 = 2*q - 4*q, -5*q = -5*r - 30. Find the first derivative of q + 0 + 2*h - 1 + 0*h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10911718\nAnswer: -10911723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*z + 28 = 0, 37 - 5 = 3*q - 2*z. Let f be (-16)\/q + -4 + 3. Let a = f + -4. Let x(g) = g**2 + 10*g + 7. Determine x(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k. Let m be f(2). Suppose r - m = -5*v, -4*r + 4*v + 104 = 16. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -33 + -7 + 1 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 + 51 - 111 = -60*h - 285 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3 - 107240*p**2 - 643548*p - 965376 = 0.\nAnswer: -3, 26816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3487*u**4\/12 + 3*u**3\/2 - 75*u**2 - 5701*u. What is the second derivative of d(n) wrt n?\nAnswer: 6974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 4, u: 3}. What is prob of picking 1 m and 1 u?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(9072\/1953)*2\/1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + 1 - (7 + -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nna when three letters picked without replacement from {n: 7, w: 2, b: 2, e: 2, a: 5}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 21.1. Let j = 0.072 - -0.228. What is the nearest to 2 in x, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7099991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 - 6 = 0. What is the third smallest value in -0.5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 3*z**2 + z - 1. Let s be n(2). Suppose 4*r - 5*j = s, -6 = -5*r - j - 26. Let g = 1127\/9 + -125. What is the nearest to r in 2, 3\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.07, 39, -2, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5082 is divided by (-2)\/(-11)*-1 + (-40672)\/(-88)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.174 - 19.374. Let c = r + 19.2000113. What is c rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/9*18)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8335*q*u**2 + 12*q*x**2 - 15*u**2*x**2 - u*x**2 + 9*u*x + 412*u wrt u.\nAnswer: -16670*q - 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2457, -9879, -22269, -39627, -61953?\n\"Answer: -2484*f**2 + 30*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2822*i**4 + 2498*i?\nAnswer: 33864*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292828?\nAnswer: 2, 3, 157, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {f: 1, w: 1, o: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - 4 - 6 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421 - -421. Solve b + 0 - 1 = 5*w, -w + 5*b - 5 = k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 14, 1, -0.4 in descending order.\nAnswer: 14, 1, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 159\/5, 0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**4\/4 - 247*d**2\/2 - 57*d + 355. What is the derivative of l(s) wrt s?\nAnswer: -9*s**2 - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 2*i - 308*i**2 - 3*i + 482*i**2 - 351*i**2 to the form p*i**2 + m*i + d and give p.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*k = -6*x + 35, 35*x - 32*x - 21 = 34*k - 27*k for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 1908*a**2 - 3800*a.\nAnswer: -4*a*(a - 475)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/1148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/75 (b) 1\/5 (c) -1 (d) -2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:20 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2 + 33934816*v + 71973233559616 = 0.\nAnswer: -4241852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12339 = 896. What are the prime factors of g?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901737, 3803470, 5705203, 7606936, 9508669, 11410402?\nAnswer: 13312135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/(k*k*k*k**(-3\/2))*k)\/k))**24\/((k**(-2\/37)*k)\/((k*k*k*k**(-23)*k*k)\/k)))**(3\/19) assuming k is positive.\nAnswer: k**(-882\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/360 + 7*f**5\/40 + 5*f**4\/12 - 5*f**3\/3 - 10*f**2. Let s(j) be the first derivative of n(j). Is 15 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -905\/798 - -22\/19. Let o = u - -9\/14. Factor -1\/2*r**3 + 1\/6*r**5 + o*r - 1\/3*r**4 + 0 + 2\/3*r**2.\nAnswer: r*(r - 2)**2*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**2*u**3 - t**2*u + 6*t*u**2 - 6*u**4 - 31 wrt u?\nAnswer: -24*t**2 - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.86 and -0.04?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 795 - 750. Solve 0 = -4*d - 5*d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 4 + (-2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -1. Suppose 14 = 5*w + z + z, 0 = -4*z + 8. Let g be (2\/(-7))\/(1\/(-7)). Which is the nearest to g? (a) 0.3 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (2 + (-1 - 1)). Find the third derivative of 7*i**2 + i**4 - l*i**4 - 3*i**2 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11780646239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30911 + 1607 = 18*r. Let l = -6597\/4 - r. What is the common denominator of l and -7\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 120 = 76. Suppose 5*o - 109 + 28 = s*n, -4*o = 2*n - 54. Solve 25 = -10*l + o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 3*f - 36 - 6*f + 19 as d*f + u and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -90.56 and 1049.52.\nAnswer: 958.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/7 + 124\/63. What is the closest to 0.1 in -3\/5, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 872 - 30?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/66 - 2\/33. Let g be (1 + -1)*(1 + -2). Put g, n, 1\/11 in descending order.\nAnswer: n, 1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:34 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58195427827 - 69.\nAnswer: 58195427758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -61*d**4\/24 - d**3\/6 - 3*d**2. Let f be q(-3). Calculate the greatest common factor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6341, 26732, 61171, 109658, 172193, 248776, 339407?\nAnswer: 444086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22110200 (base 3) to base 8\nAnswer: -14036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b = 61*b + 14920. Calculate the common denominator of -29\/8 and (-24)\/(-56) + b\/(-112).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 3. Let s = -10 - -6. Let b be q(s). Sort 1, b, -2 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 12*f**2 + 53*f - 19. Let l be s(8). Solve -3*z - 134 = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*r - 49*r - 844 + 349 - 506 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 881505 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppdssps. What is prob of sequence ssds?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30362 and 171.\nAnswer: 273258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*4)\/(sqrt(54)*-2).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 4. Suppose 3*w - 13 - 23 = 0. Let n be j(w). Let b(r) = -n*r + r**2 - 8*r + 24*r + 3 - 12*r. Determine b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmx when three letters picked without replacement from {z: 1, x: 1, c: 1, m: 2, l: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.338809 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7 = 4*z, 14 = -39*z + 36*z - 4*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + o + 3 = 0, 67*z - 86*z + 4*o + 92 = -15*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(sqrt(300) + (2*sqrt(300))**2 + -1 - ((sqrt(300) - (0 + sqrt(300) + -1)) + sqrt(300))).\nAnswer: -21564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*h + 31*h + 2904. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(1\/7)*w)**5\/((w**(-3)\/(w\/(w**(1\/9)\/w)*w))\/((w\/(w*w**(-5)\/w))\/(w\/(w*w**(-1\/7))))) assuming w is positive.\nAnswer: w**(1100\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -38*g. Let w be a(-1). Let n(z) = -z**2 + 19*z - 47. Let s be n(13). Suppose s + 121 = 4*r. What is the greatest common divisor of w and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - j**2 + 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/(sqrt(8) + sqrt(24)\/sqrt(3)))\/sqrt(2))\/(((sqrt(70) + (sqrt(70)*2 - sqrt(70)))*4)\/sqrt(7)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28285*p**3 - 61 + 60 - 8*p**4 + 28377*p**3 - p**2 to c*p + z*p**2 + b*p**4 + q + o*p**3 and give o.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108640793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921025782.\nAnswer: 2, 3, 983, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7291, 14571, 21829, 29053, 36231, 43351?\n\"Answer: -2*i**3 + i**2 + 7291*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*q + 1399*q**2 - 18*q - 40*q**2 - 8*q to the form v*q + a + z*q**2 and give z.\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6533.5 + 6534. What is the fourth biggest value in -2\/3, z, -2.7, 2, -16?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13225, -13 in increasing order.\nAnswer: -13225, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-108) + 1246\/(-18). Which is greater: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k + 10. Let m be v(7). Suppose b = -m*b + 80. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from ajajvjr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from bbrbrrbbrrbrrrrrrbr?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let t = -7 + 6.94. Let y = -0.16 - t. What is the biggest value in y, 1\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {q: 13, k: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + o + 606 = 597, -3*p + 8*o = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3)\/(3\/(-12)). Does 8 divide 16\/(-3)*6\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 2 = 0, 4*m - 5*g - 50 = 0. Let k be -2 - (2 - 10*1). Suppose 0 = l - k*l + m. Solve -5*q + l*n = 19, 2*q - 3*q + 2*n = 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986, 737, 488, 239?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 255*m - 13264. Give n(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 7.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95643?\nAnswer: 3, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -3, 4.\nAnswer: -3, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4612860*h**5 - 3*h**4 - h + 6933467 wrt h?\nAnswer: 92257200*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3417630\/19 > -179876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 3*u**2 - 24*u**2)*(0*u + u + 2*u - 3*u + 2*u - 3*u + (0 - 1 - 1)*(-1 + 2*u + 1) + 2*u + u - 2*u + 2*u - 3*u - u).\nAnswer: 126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7462\/19 + 392. Let q = 11776367\/21216635 + -3\/101515. Let o = q + y. Which is the nearest to 0? (a) 0 (b) -4\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132142401 (base 5) to base 16.\nAnswer: -a1ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**4 - 176*h**3 + 1344*h**2\/5 + 1472*h\/5 + 64 = 0. What is h?\nAnswer: -10, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53510239238.7 + 9\nAnswer: -53510239229.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 32172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaqcaaaqdaaaa. Give prob of sequence qa.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/324)\/(2\/162*576\/192)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 - 25)*(-4*t + 3*t + 0*t).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x + 3. Suppose -2*l = -3 - 5. What is g(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -5. Let b = j + 35. Let x = 21 - 13. Calculate the smallest common multiple of x and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Let q(c) = c**3 - 298. Let f be q(i). Let j = 501 + f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8826 divided by 2?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -385bdb (base 15) in base 13?\nAnswer: -738227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118603 + 263070 + 296037 = 34*k. List the prime factors of k.\nAnswer: 2, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*q**4 - 3 + 181*q**4 + 4424*q**2 - 4426*q**2 to the form h*q**2 + n*q + m*q**3 + l + d*q**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*m + 21, 8 = -6*m + 2*m. Suppose 26 = n*z + 5. What is the smallest common multiple of 15 and z?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17047, 35958, 54869, 73780, 92691?\nAnswer: 111602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:03 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -19*n**6\/120 + n**5\/60 - n**4\/24 + n**3\/6 - 2*n**2. Let i be g(1). Let f = i - -25. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/42 + 61\/14. Which is the second smallest value? (a) -2\/3 (b) f (c) 1\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 4*y)*(y - 3*y + y)*(-4 + 0 + 1 + (1 + 1 + 0)*(3 - 7 + 3) - 2 + 4 - 1).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (3 - (-10 - -4)). Does 32 divide -24*(64\/f)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359*i**3 + 96*i**3 - 47*i**2 - 151*i**2 - i**4 + 48*i**3 - 2 wrt i?\nAnswer: -24*i + 3018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 13705*q**2 - 3 + 567*q + 13707*q**2)*(3*q**2 - 4*q**2 - q**2) to c + u*q**4 + m*q + z*q**3 + o*q**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*p = -406*p + 191*p - 132 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + u**2 - 3183 - 5851 - 11*u**2.\nAnswer: -12*u**2 - 9034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 254114 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 24. Suppose -2*c = -2*v + 8, -2*v + 2 = -r*c - 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -776 or -1019816\/1315?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = 14. Solve w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - w**2 - 2*w**3 - 5764*w - 2 + 5781*w to the form q + u*w**3 + n*w + s*w**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 12. Let h be 2\/(-1) - (-4 - (-12)\/8). Which is the biggest value? (a) h (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c**3 + 8*c**3 + (-19*c**2 + 15*c**2 - 27*c**2)*(0*c - 3*c + 2*c).\nAnswer: 41*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fffffffffffffffffcf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87.8 - -4. Let s = c - 92. Which is smaller: -6.4 or s?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 3*u**2 - 3*u + 3. Let k(n) = 35*n + 139. Let v be k(-3). Let i(b) = -6*b - 9 + v - 15*b**3 - 25*b**2 - 19*b. Determine -6*i(h) + 50*y(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.35 plus -437.2?\nAnswer: -441.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 + 2*j + 8. Let g be h(-7). Let u(z) = -z**3 - 6*z**2 - 3*z - 5. Is 10 a factor of u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 8 - 16. Let g be (5 + b)*(0 + -6). Let i(s) = s**2 - 4*s - 2. Determine i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5550 - 6.5577\nAnswer: -5556.5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:54 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 70*u**2 - 12*u - 42. Calculate n(23).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from vuvbbuubuvbb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1058061193 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -554, -1979, -4754, -9329, -16154, -25679, -38354?\nAnswer: -54629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220.979 rounded to the nearest ten?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 315034 - 1935025. Suppose -3*c = 3*r - 539991, -3*c - r + 0*r = -g. Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((sqrt(1088) - (-2*sqrt(1088))**2) + 2 - (-4*-2*sqrt(1088) + sqrt(1088))).\nAnswer: 128*sqrt(17) + 8703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704630117.\nAnswer: 7, 7885219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137363581?\nAnswer: 103, 127, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 - 8*s - 2. Suppose 14 = -3*l + 41. Let m be t(l). Suppose -v + 3*i - m = -3*v, -3*i - 635 = -4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -52 (b) -1313 (c) 2\/67 (d) 3\/2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4 + c**3\/3 + c**2 + 2. What is the remainder when q(2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h - 12 + 16*h**2 + 2 - 10*h**2 - 10*h**2. Let a be g(5). What is the third derivative of 13*k**2 + 0*k - 7*k + 7*k - 11*k**a wrt k?\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 349 - 186 - 180 + 2*u. Let t be a(5). Solve -w - t = 8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*u - 499*i**3 - 79*i*u - i - 8*u - 165 wrt i?\nAnswer: 18*i*u - 2994*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1951263468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsftbbb. What is prob of picking 1 s and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**6*n + 66*l**3*n**3 - 6*l**2*n**3 - 3*l*n**3 + 2*n**3 wrt l.\nAnswer: 120*l**3*n + 396*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(2*l + 0*l + 2*l) + 4*l + 3*l - 6*l + 1.\nAnswer: -7*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 32*i - 245. Calculate z(-33).\nAnswer: 1966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0, 1.502?\nAnswer: 1.502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5500 (base 11) in base 12?\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2332*g + 57. Let m(q) = 4665*q - 95. What is -3*m(d) - 5*u(d)?\nAnswer: -2335*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*1\/14)\/((-14)\/(252\/(-27)))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, b: 10}. What is prob of picking 2 b?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.411 nanometers in millimeters?\nAnswer: 0.000386411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 5, -60.9 in decreasing order.\nAnswer: 5, -0.16, -60.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/4 (b) 1 (c) 2 (d) -3\/7 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(35\/20) + 6. Suppose -n*z = -4*b + 24, 4*z = -5*b + b + 12. Solve -2*a - 12 = b*i + 12, -4*i + 3*a - 10 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 + 976*y**3 - 23596*y**2 - 50104*y - 25536 = 0. What is y?\nAnswer: -266, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**3 - 329*a**2 + 688*a - 344. Let k(v) = 98*v**3 + 3620*v**2 - 7566*v + 3784. Let h(f) = -3*k(f) - 32*n(f). Factor h(z).\nAnswer: -2*(z - 1)**2*(3*z + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, 9057 in increasing order.\nAnswer: -3, -1, 2, 9057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 + 3a41a?\nAnswer: 3a3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -2 (c) 305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -5 (d) 7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 22*d**2 + 20*d + 24. Let l be i(21). Find the third derivative of -l*c**2 - 5*c**2 - 42*c**4 + 2*c**2 - 3 + 2*c**2 - 183*c**4 wrt c.\nAnswer: -5400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, 2, 92 in decreasing order.\nAnswer: 92, 4, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.14 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by (-3 + (-14)\/(-3))\/((-10)\/(-270)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*-3*(104\/(-1716) + (-4805)\/(-330))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) - ((5*sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99)))*5)\/(sqrt(9) + 2*(sqrt(45)\/sqrt(5) + sqrt(9)) - (sqrt(9) + sqrt(36)*1)).\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(4 + sqrt(175) + -4 + sqrt(175) + -2))**2 + 1)*4.\nAnswer: -4000*sqrt(7) + 70404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) 5 (c) 3 (d) 1038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 - 1. Let k be l(2). Let n be 36\/(-9)*k\/4*2. Sort n, -4, 1, -5.\nAnswer: -5, -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -3*b**7\/70 - b**3\/3 + 3*b**2 - 3*b. Let x(y) be the first derivative of z(y). Find the first derivative of x(r) wrt r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 4. Let o(f) = 3*f + 2. Suppose -7*m + 21*x - 36 = 20*x, 2*m = -4*x - 36. Give m*k(g) + 13*o(g).\nAnswer: 9*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149217300137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/x)**(-47)*(x*x\/((x*x\/(x*x**(1\/2)*x*x))\/x*x))\/x**(-1\/3) assuming x is positive.\nAnswer: x**(1103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(54))\/(sqrt(363) - (4*sqrt(363) + sqrt(363)))*6.\nAnswer: 45*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73177778273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -28. Let r = 32 - l. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -39142*k - 1408. Let h be y(76). Round h to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 1112*x**2 + 1247*x**2 - 13*x - 7*x wrt x?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/7 - 10*q**2\/7 - 25*q\/7.\nAnswer: -q*(q + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 57306960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 2*v + 52 = 0, 39*k - 6*v + 90 = 44*k + 6*v for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1190, 1185, 1176, 1163?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*r + 855 = 0, -5*z - 3*r + 1393 = -0*z. What is the remainder when z is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26\/3 - 29\/15. Calculate the common denominator of t and 4\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*o + 4066505 - 595289, o - 3471196 = a. Round a to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 + 608106\nAnswer: 608212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + g - 3. Suppose 4*j - 6 = -2. Let z = j - 4. Let y be k(z). Solve 4*c - 5*a + 4 = 1, -c - y = -5*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let x be 2*(8 - (9 + -2)). Let u(c) be the first derivative of -1 - 1\/2*c**x + 0*c. Determine u(r(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*l - 2, 20 = -3*p - p - 5*l. Suppose -5*c - 2*f = -95, -3*f - 56 = -3*c - 4*f. Let j = p + c. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5967, 5961, 5955?\n\"Answer: -6*p + 5973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 + 24*r**2 + 51*r + 30 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k**3 - 25*k**2 + 16*k + 4. Let q(p) = -19*p**3 + 50*p**2 - 31*p - 9. Let v(c) = 4*q(c) + 9*r(c). Factor v(d).\nAnswer: 5*d*(d - 4)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13778 and -0.1.\nAnswer: 1377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 463005671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:17 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 32. Let f(i) = 4077*i. Give f(u(x)).\nAnswer: -4077*x**2 + 130464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 137 - 3*q - 147 + 11*q**2)*(15 - 17 - 8) to the form d*q + j*q**2 + h and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - h = 74, -4*j - 4*h = -6*j + 44. Suppose -55 = -j*f + 13*f. Suppose -6*v + v = -25. What is the lowest common multiple of v and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g*g*g**(-4\/9))\/(g**(-2\/7)\/(g**(-1)\/g)) assuming g is positive.\nAnswer: g**(116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.6, -1682, -5, -6\/5, -4\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1091*i**3 - 30*i**2 - 32*i + 32. Let m be u(24). What is m rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565772.\nAnswer: 2, 141443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*n**4*p + 4*n**3*p**2 - n**2*p**2 + 120*n*p**2 wrt n.\nAnswer: -432*n*p + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -779\/17 - -46. Let s = l + 5\/68. Which is the smallest value? (a) -0.1 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 - (-82)\/(-14). Let m be o\/(-2) + 195\/(-70). Let j = 29\/70 - m. What is the smallest value in -2\/9, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 51 = -2*j, 78*k + 62 = 78*k + 51*j - 40 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 5. Let l be v(0). Let i be ((-54)\/15 + 4)*l. Suppose 6 = 4*p - i. Solve 0*y - 5 = p*y - b, 3*y - 20 = -4*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 13835*y**2 + 13835*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, d: 5, b: 2}. Give prob of picking 2 d and 1 q.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -31*z**2\/2 - 21*z + 252. Let j be y(-3). Which is smaller: j or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5232981873?\nAnswer: 3, 7, 23, 10834331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1123 or 47.3?\nAnswer: -0.1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101130 - -1?\nAnswer: -101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11)*(-301)\/(16856\/(-1120)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 66, -0.4, 0.2, 10.871?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 250069052? (a) -5 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (356368\/(-12))\/(-4*3\/9).\nAnswer: 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 42946781*j\/3 - 85893566\/3.\nAnswer: (j - 42946783)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -1. Suppose 4*f + f = 105. Calculate the highest common divisor of f and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o. Let b be (9\/(-2))\/9*-4. Let u(s) = 3*s**2 + 0*s**2 + 2*s**2 - 6*s**b. What is w(u(x))?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 2 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/30)\/((-4)\/(-10)). Let t = 162.3 - 162. Let v = -2 + 1. Which is the closest to v? (a) 3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 16*h - 32 = 0, 3*d + 76 - 72 = 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25*((-11)\/(-5) - -5). What is the greatest common factor of d and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -0.00081?\nAnswer: -0.0000972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, -4, 10, 4, -3, -6, -1 in ascending order.\nAnswer: -541, -6, -4, -3, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-273) + (-2160)\/13. What are the prime factors of t\/((-184)\/160 - (-6)\/8)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - 2*sqrt(132)*2) + sqrt(132))*4)\/((sqrt(12) - (sqrt(12) - sqrt(48) - sqrt(12)))*-4 + (1*sqrt(432) - sqrt(432)) + sqrt(12)).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (5 + -2) - 0. Let i(q) = -q**2 + 6*q. Let y be i(6). Solve -w*g + g - 4 = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(-17)\/((-40749)\/47)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 11*w + 17. What is f(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 16. Let x be h(0). Let l = -9 - x. Suppose 2*b + 10 = l*b. What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 62*y - 22*y to the form a + p*y and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 11*y + 2*y + 18623*y**2.\nAnswer: 18623*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-4))\/(-4) + 2. Do -27 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 6. Let x(a) = -7*a - 12. Let q(w) = 3*x(w) - 5*z(w). What is q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 0)*4 - (sqrt(10)\/sqrt(200)*-4)**2.\nAnswer: -4\/5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-48)\/((b**5\/b)\/(b\/(b*(b**9*b*b)\/b))))\/(b**(-2\/15)\/b*b\/b**(-2)*(b\/(b*b\/b**(-2)))**18) assuming b is positive.\nAnswer: b**(1292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -7*h + 20, -j + 3433 = 3*h. What are the prime factors of j\/10 + (5 + -3)\/(-4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 8, h: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/3*v**4 + 8*v + 0*v**3 + 9\/2*v**2 + 0. What is the derivative of x(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l + 6*l. Solve -q + 3*o + 5 - 4 = 0, 4*o + l = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/11))\/o**1)\/(o**(-4)\/o)**22)**(-13\/2) assuming o is positive.\nAnswer: o**(-15743\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 + 2*j - 19. Let v be c(-7). Does 23 divide (8 + v - 11)\/((-4)\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 30*j**3 + 2*j + 4*j.\nAnswer: -29*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z - 298 + 1856 = 85*z - 797 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*x + 2*d + 12, -5*x = -4*d - 2. Suppose -x*g - 1063 = -1759. What are the prime factors of g?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7354.9996337 - 7355. Round f to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/2 - 14*s**2 + 98*s = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 7 + 79 + (-12 - -16) + -14?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/710 and -37\/2050.\nAnswer: 145550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(288)) - sqrt(288) - (1 + sqrt(288)*-2 - sqrt(288)))**2.\nAnswer: -648*sqrt(2) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67564*o**4 - 32*o**3 - 110378*o**2 + 40 wrt o?\nAnswer: -1621536*o - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-15))\/((-8)\/(-20)). Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-49)\/(-21))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 32*f**2 - 1. Let x be n(-1). Let m be 2\/(-21) + (-151090)\/(-609). Calculate the highest common divisor of m and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 less than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 0 + 4 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 518*a**2 - 10036*a + 9520.\nAnswer: -2*(a - 238)*(a - 20)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 20 = -r, 3*d - 14*r = -13*r - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:42 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 times 89.3998?\nAnswer: 545.33878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32255 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 0.06 (c) 3 (d) -25247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didiid. Give prob of picking 3 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(84\/11648*3188 - 23)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16074842 is divided by 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -534 + 4751\/9. What is the common denominator of y and 137\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.5 and 4.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1620 + 26. Calculate the common denominator of 17\/(-8)*(-4)\/(-10) and 8\/(-36) - i\/288.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (84\/10 - -2)*5 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 + 2*z + 5. Let u(a) = 93 + 3*a - 2*a**2 - 87 - 13*a**2. Let s(f) = -6*p(f) + 5*u(f). Find the second derivative of s(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 22. Let z(u) = -5*u + 6. Let g(w) = -3*w + 7. Let y(x) = 6*g(x) - 5*z(x). Let c(s) = -3*l(s) + 5*y(s). Determine c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 149.\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28346 <= 28248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 + 10*k**3\/3 + 23*k**2\/2 + 15*k + 48. Let h be s(12). What is the highest common factor of h and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - 5*x)*(0 + 1 - 3)*(2*x**2 + 0*x**2 - 4*x**2)*(8*x**2 + 3*x**2 - 12*x**2).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287)\/(-82)*(1 - 32\/42).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016a56 (base 12) in base 14?\nAnswer: 5880dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31*u - 884. Let a be m(-31). Solve -a*j = -32*j - 135 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153) + 1*sqrt(153)) - sqrt(153)) + -3)**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-30))\/((54\/5)\/(-3)). Let o(g) be the second derivative of 0*g**2 - 2*g - q*g**3 - 1\/135*g**6 + 0 + 1\/90*g**5 + 1\/54*g**4. Factor o(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 - 156 - 4*u**4 - 6*u**4 + 157 in the form s*u + l + t*u**4 + m*u**3 + x*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145438 or 145437?\nAnswer: 145438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3770 divide 1131829400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -2\/19 (b) -1\/5 (c) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/(m\/((m**8*m*m)\/m)) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Suppose -2*r - 20 = -z*r. Calculate the smallest common multiple of 18 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 5 + 0*z - z + 6*z. Let j be r(10). Solve -2*o = -5*d + 25, -d + 2*o - 2 = -j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 3067*f**8\/28 - f**4\/6 - 229*f**3\/6 - 2*f**2 + 2907*f. Find the third derivative of k(l) wrt l.\nAnswer: 736080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -305540.7 times -6?\nAnswer: 1833244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - ((-335)\/(-3) - 1). Let k = -66 - d. Let a = k + -31. Solve 3*n + 3*y = y + 5, 4*n - y = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2\/2 + 2*s - 2. Let h(t) = 3*t + 5. Give -2*h(k) + 5*u(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - (-8 - -6). Let k be (-3 + 10\/3)*t. Solve -13 = -4*y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018631 is divided by 105.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p. Let t(v) = -6*v**2 - 2. Let w(m) = 7*m**2 + 3. Let a(i) = -6*t(i) - 4*w(i). What is a(k(q))?\nAnswer: 512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1491 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 6.6. Let j = m + 5.7. Let v(k) = -k**2 - 3*k + 7. Let t be v(-5). What is the biggest value in j, -5, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6146 + -6141 - (10 - 10 - (0 + -3) - 16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 5*z - 221 = 11*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31237.9 less than -3487.608?\nAnswer: 27750.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 33*u**2 + 4749*u + 31631. What is z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 90793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028513.\nAnswer: 941, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2 + 12*l**2 + 3*l**2. Let y(n) = -2*n**2 - 4*n - 4. Let q(h) = -2*h**2 - 3*h - 3. Let a(c) = -4*q(c) + 3*y(c). Determine a(z(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/574858 and -125\/6?\nAnswer: 1724574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256 - -258. Solve 6*c = o*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 12\/(-6))\/2 + -15 + -3. Let k be 4*(-2)\/(-4)*-2. Let c be 675\/(a\/(-6))*k*10. Round c to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5063*p + 932*p**4 + 5*p**3 + 2*p**2 - 5063*p as y + f*p**3 + j*p**4 + r*p**2 + h*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Let g = 4\/99 - -2\/11. Let z be 2\/2 + 2\/(-2). Which is the closest to g? (a) 0.5 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21828368599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.28449 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 16*m + 9*m)*(-3 + 3 + 3) - 5*m + 30*m + m.\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = x - 2*x, -2*t - 5*x - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 84, 53 in descending order.\nAnswer: 84, 53, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 6\/(-9))*-78. Calculate the common denominator of t\/(-100)*(25\/6)\/(-5) and 91\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03389 rounded to four dps?\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7256792kg to grams.\nAnswer: 725.6792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288431?\nAnswer: 11, 13, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -31 - -30 - (-12 - (-2 - -7))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3)*(1\/(-2))\/(1 - (-343)\/(-294))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -1212 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 242, 483, 724?\n\"Answer: 241*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27225 + 3345. Suppose 3*t = 4*x - 27990, -2570 = 4*x + 2*t - j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -227, -242, -265, -296, -335, -382?\n\"Answer: -4*f**2 - 3*f - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.896 + -0.204. Let z = -16 - w. Which is the third biggest value? (a) -2\/5 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.56 - -0.06. Which is the third smallest value? (a) u (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 - 3*a + 10. Suppose 14 = 3*t - r, 4*t - 4*r = -2*r + 16. Let q be z(t). Let d = -52 - q. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-16)*2 + (-5)\/(-10). Let j = 25 + -24.6. Which is the second biggest value? (a) j (b) -3\/8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}