diff --git "a/data/dm_maths/full_data_2/11212_11255.jsonl" "b/data/dm_maths/full_data_2/11212_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11212_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 13 + -20. Let a = -582.6 - -583. Put 0.1, a, u in descending order.\nAnswer: a, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 + 9*p + 6. Calculate n(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 73*q**4 + 533*q**3 + 1125*q**2 - 1213*q - 509. Let r(b) = b**5 - b**4 - 2*b**3 + b**2 - b - 1. Let t(j) = -3*r(j) - v(j). What is c in t(c) = 0?\nAnswer: -8, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07555082 rounded to four dps?\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -3 + sqrt(1573)*2 + -5*sqrt(1573)*1 + (sqrt(1573) + -3 + -4 - (-1 + sqrt(1573)*-3))**2.\nAnswer: -550*sqrt(13) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11068155 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-3 - sqrt(136))*3)\/(sqrt(8)*-5*-5).\nAnswer: 9*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 1050*b**2 - 11880*b.\nAnswer: -5*b*(b + 12)*(b + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 418279 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187996 - 1767.27.\nAnswer: 186228.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 169 = 45*x + 34*x + 1391 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p**12)))\/p*p**(1\/12))\/(p**4\/(p**(2\/5)*p*p*p)))**(-30) assuming p is positive.\nAnswer: p**(-689\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(3480\/(-80))*(21\/(-30))\/(-7)*-3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**17)**(-14)\/((s\/s**(1\/3))**(-2\/45)*s**(-2\/17)*s\/(s**(-3\/5)*s)*s) assuming s is positive.\nAnswer: s**(-3334\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16869358 and 13124?\nAnswer: 573558172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617876 is divided by 9222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 0 + (0 + 2 + 0)*(2 + 0 + 0))*(4*r**2 + 13*r**2 + 22*r**2) + (-3*r + 8*r + 11*r)*(2*r - 4 + 4) as k + j*r + n*r**2 and give n.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99962 + 99990. Let i be (4\/(-3))\/((-2)\/3). Solve i*v + 5*v - p = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:05 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64656225?\nAnswer: 3, 5, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -69. Find the third derivative of -i + 18*i**3 + 25*i**3 + 2*i**3 - 26*i**h - 3*i**3 wrt i.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -417, -599, -707, -705, -557, -227?\n\"Answer: 6*c**3 + c**2 - 227*c - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 175\/(-77)*-2.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 25, 46, 75, 112, 157, 210?\n\"Answer: 4*q**2 + q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -14. Suppose -3*p = 2*q + 13, -2*p - 5 = -2*q + p. Put t, -1, q in increasing order.\nAnswer: t, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-390)\/72)*95\/(-171)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975493.1 millilitres to litres.\nAnswer: 975.4931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -15241, 5\/4, -56\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 2*q - 1. Let x be s(-2). What is the remainder when 70 is divided by (-112)\/(-6) - (-6)\/x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - o - 3 + o. Let z be g(-3). Let q be 1*(-1*(-6 + 3) + -3). Solve -3*c + q = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117 in -2\/11, 0.3, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -382936 divided by -4?\nAnswer: 95734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 + 26*q - 59. Calculate the remainder when b(-24) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, 0.5, 60 in descending order.\nAnswer: 60, 4, 2, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + 2 + 1 + (-60 - -69)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 5 + 2 - 2*s + 2*s. Let u be 1 + (-30)\/26 - 2\/(-26)*2. What is t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13558\/15 - 904. Which is the nearest to 0? (a) l (b) 0.1 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.07126, -0.051?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 5355.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (-9)\/((-2)\/(15 + -4 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - -8. Suppose -5*j + 2*f = 77, 4*j = -f + 34 - s. Which is smaller: j or -14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = -y, -4*y - 16 = 5*r - 5. Suppose 5*m - 62 = -22. Factor 11*q**2 + y - m*q**2 - 13.\nAnswer: 3*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -16. Let o(v) = 2*v + 16. Let y(g) = -g - 8. Let d(r) = 4*o(r) + 9*y(r). What is d(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooabnsb. Give prob of sequence sbb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v = 96*v - 43*v + 168 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3462834650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77*81\/(-4752)*-4.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8599463.9 rounded to the nearest ten thousand?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*d - 25, 0 = 5*d - 4*d - 2*n + 4. Suppose -d*o - 25 = -179. Which is greater: o or 151\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4589 and 365209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c9e (base 16) to base 7.\nAnswer: -63146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 71 - 379. Let o = v + 77. Solve -4*r = -o*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 12*b**4 - 308*b**3 + 2216*b**2 - 3072*b + 1152 = 0.\nAnswer: 2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/8)\/(4\/(-8)). Let h = 3.7 + -3.6. Let s(z) = -9*z**3 - z**2 + 2*z - 1. Let x be s(1). Which is the smallest value? (a) h (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k**4\/5 - 69*k**3\/5 - 97*k**2\/5 - 43*k\/5 - 6\/5 = 0. Calculate k.\nAnswer: -6, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/21)*h)**42*h**11*h**(-18) assuming h is positive.\nAnswer: h**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.08 (b) 0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 804468 + 5?\nAnswer: 804474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -102, 7, -9, -1 in descending order.\nAnswer: 7, 1, -1, -7, -9, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13376326*a**4 - 2*a**3 + 154621*a + 13 wrt a.\nAnswer: -160515912*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 28333.\nAnswer: 30\/28333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 1\/3579, -1\/5, -2, 2565, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 7*n**2 - 5*n - 7. Let i = 2 - -4. Let w be y(i). Let s be 0\/w + (-2)\/(-2). What is the greatest common factor of 8 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + (5 - 3 - -21) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1620453 - 155?\nAnswer: 1620276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 753283 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-2)*(-125)\/75*36\/(-15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 3*g**3 + 4*g**3)*(-2 + 2 + 2*g) + 3*g**4 + 2*g - 2*g.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (230\/92)\/((-10)\/(-8)). What is the units digit of 2 - (b + -2) - -132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/154 and -21\/8.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooobooooooooooobo?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 minus -0.047?\nAnswer: -959.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 92*y = 144768. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 101*o + 944 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12937 and -13387.\nAnswer: -173187619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22004789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (9 + (-23 - -35))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 0*m**3 - 2*m**3 + (-26*m**2 - 44*m**2 + 5*m**2)*(-7*m - 10*m - 12*m) to the form v*m + d*m**3 + y + w*m**2 and give d.\nAnswer: 1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 532 + -312. Suppose 2*o - h = -2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2531881\/365229 + -3485\/501. What is the common denominator of v and -59\/891?\nAnswer: 24057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + 2. Let s(d) = -15*d - 4. Calculate -13*r(i) - 6*s(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11001111111001010 (base 2) to base 13\nAnswer: 395ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 1:31 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -394805, -394734, -394667, -394604?\n\"Answer: -2*r**2 + 77*r - 394880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-6))\/((120\/288)\/1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-1955)\/690)\/(1\/2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -746300 to the nearest one thousand.\nAnswer: -746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/8, -80.025, -5, 5, -0.4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405763?\nAnswer: 405763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*h**2 - h**4 - h**4 + 306 + 41*h**2 + 248 + 340*h**2 with respect to h.\nAnswer: -8*h**3 + 692*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1441 times 4\nAnswer: 0.5764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 4*a**4 - 14*a**3 - 8*a**2 = 0 for a.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**2 - s. Let f(t) = -t**2 - 6*t - 4. Let w be f(-5). Let v be y(w). Solve v*p + 2*p = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35196 is divided by 8797.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 1, f: 4, q: 1, h: 7, e: 2}. Give prob of sequence qfpf.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (-2 + -4 + 16 + 81 + -76)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/3 of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6209 - -3499. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:21 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 664097269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7782 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 4*i + 1. Let o be q(-3). Suppose -7*p + o = -225. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 3*k = -3*l + 104, -28 = l + 3*k. Let r = 22 + l. Solve z - r*t - 7 = 0, -2*z - 2*t - 7 = -t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 2*k**2 - 3*k**2 + (3*k - k + 0*k)*(k + k + 0*k))*(-33 + 33 + 19*k**3).\nAnswer: 57*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240157*w + 240162*w + 3*c + 303 = 0, 0 = 3*w + 6*c + 186 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324740619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19068.47 kilograms to nanograms.\nAnswer: 19068470000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35980 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3861, -7718, -11575, -15432, -19289?\n\"Answer: -3857*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6) - -2)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 1. Let k(m) = -m**3 + 6*m**2 - 4*m - 3. Let f be k(5). Suppose -12 = f*p - 24. Suppose -y = 5*y + p. Calculate i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1452005635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 70658277781 and 1.\nAnswer: 70658277782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/117 and 45\/9003176?\nAnswer: 81028584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 1055273.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17128.\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -32. Calculate the remainder when 157 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/5 - 56\/55. Suppose 5*q - 2*q = 0. What is the nearest to q in 0.1, 1\/3, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 2204554?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -78.947. Let m = -0.0529876 + k. Round m to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let b(q) be the first derivative of -8*q**3\/3 + 30. What is f(b(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1759*-5.\nAnswer: 8795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 1.5. Let p = 9 - 6. Let v = -1 + 1. Sort p, w, v in increasing order.\nAnswer: v, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**4 - 20*n**4 + 8*n**4 - 2*n**4 + 5*n**3 - 5*n**3 + (-2*n + 0*n + 4*n)*(-n + n + 2*n**3).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 3*h + 1. Suppose -5*y - 6*w = -3*w, -5*w = -3*y. Let z = y - -2. Determine u(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333596.083 rounded to the nearest 100?\nAnswer: -333600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9943 * -0.8.\nAnswer: -2.39544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -55\/3*i**2 - 15*i**3 + 15*i + 50\/3 + 5\/3*i**4 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3302 and 47498?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22*31 - (-115 - -125). What is the greatest common divisor of 288 and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 4*s - 7. Let m be k(5). Let f be (-32)\/m + (-1)\/(-3). Find the third derivative of 0*a + a**6 - 2*a**2 + f*a**6 + 0*a wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -52, -53, -54, -55?\n\"Answer: -i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -268*z**2 + 7*z + 2. Calculate x(-1).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9591177\/2275 + -5586\/325. Let x = y + -4192. Find the common denominator of x and 8\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - o + (-2 - 2 + 3)*(102 - 102 + 10*o) - o - o + 8*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*v**2 + 368*v**2 + 13 - 18 + 8.\nAnswer: -38*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-3*n**2 + 0*n**2 + 5*n**2)*(0*n + 0*n - n**2) + 2105*n**3 - 4212*n**3 + 594*n**4 + 2109*n**3.\nAnswer: 588*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 2*p**2 + p**2)*(-6*p**2 + 2*p**2 + 2*p**2)*(4*p + 4*p + 9*p).\nAnswer: 34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381*z**5 + 243*z wrt z?\nAnswer: -7620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*b**3 + 0 + 3\/2*b + 0*b**2.\nAnswer: -3*b*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:41 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3633 and 85\/18?\nAnswer: 21798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(48)) + -5)**2.\nAnswer: -816*sqrt(3) + 2017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10609443.12 + -0.5\nAnswer: 10609442.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192103*t**3 - 79*t**2 + t + 37541815 with respect to t.\nAnswer: 576309*t**2 - 158*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 521 - 518. Solve 0 = 2*t + 3*b + s, -3*t + t - 6 = 4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123216 and -693756?\nAnswer: 816972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**3 - 2*r**2 + 2*r + 2. Is 27 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*f + 9 = 0, 5*f + 11 = h - 17. Find the third derivative of 18*b**4 + 4*b**2 - b**3 + 3*b**2 + b**h wrt b.\nAnswer: 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -973?\nAnswer: -973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.421 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7. Suppose -l = 12*b - 13*b. Solve q - b = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -1335\/7. Let x = -1\/119509 + 24618931\/9202193. Let q = x - 20\/7. What is the nearest to h in 3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61739252278179 - -0.1.\nAnswer: -61739252278178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/76)\/(90\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (3 - 4\/6*-3). Sort -1, -5, j, -3 in decreasing order.\nAnswer: -1, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -331 + 581. What is the greatest common factor of 100 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u - 2*u**2 + 5*u)*(-26787 + 15013 + 15592) as f + b*u**2 + v*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(22)\/sqrt(2))**2 + sqrt(55)\/(sqrt(25)\/sqrt(5)).\nAnswer: -sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.3177 centimeters in kilometers?\nAnswer: 0.007943177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - -6 - (-19 + (53 - 46))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/11 + 12561*j\/11 - 37674\/11 = 0.\nAnswer: 3, 12558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125.6 * 1119.97.\nAnswer: 140668.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:02 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09067 - 0.03067. Let f = -524 - -15198\/29. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -678, -654, -606, -528, -414, -258, -54, 204?\n\"Answer: f**3 + 6*f**2 - f - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -72*o. Let l(d) = -2*d**2 - 10*d + 25. Give l(b(s)).\nAnswer: -10368*s**2 + 720*s + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -14. Suppose -2 = -5*s - 7. Let n be (-2 - (-15)\/9)*s. What is the closest to n in 4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 343, 287, 199, 73, -97, -317?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172614308.\nAnswer: 2, 3, 31, 3152189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:40 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w + 3\/2*w**2 - 1\/4*w**4 + 2\/3*w**3 + 2. Is l(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/19729980 and 111\/160?\nAnswer: 157839840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*d + 22, -5*c + 22*d = 24*d + 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 6*u)*(u**2 - 2 + 2) - 3*u**3 + 3*u**3 - 2*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 18. Suppose 5*p + 49 = 94. Let n be c(p). Suppose -5*h = -n*h - 17285. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 6:18 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 28. Let s be d(-11). Let j be 3\/s*22 + -3 - 2. Solve -4*z = -2*r - j, 5*r - 8*r + 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttu when four letters picked without replacement from ttuuuutu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 1. Let q be k(-1). Suppose -2*l + l = -q. Which is the nearest to 2? (a) l (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30620000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*i**2 + 88*i - 297 + 102 + 98 + 99 wrt i?\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7*u)\/(u*(u*u\/(u**(4\/5)*u)*u*u*u)\/u*u))**(3\/16) assuming u is positive.\nAnswer: u**(57\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -39.428 (c) 32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*t**2 + 3*t + 6 + 104*t**2 + 2*t to c*t + g + m*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 - 1 = 0. Suppose 11*s**2 + o - 48*s - 14 + 1 - 32*s**2 = 0. Calculate s.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 2292.\nAnswer: -13\/2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26856 + -11639. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -399 times -2\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 1462 = -116*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1601*y + 2. Let s(b) = 3163*b - 3. Determine -3*s(q) - 5*v(q).\nAnswer: -1484*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = 3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7006356 from 69.\nAnswer: -7006287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 9, 5, -13, -51?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 30. Let g be 1 + (2 - 0 - 0). Suppose 4*d - 45 = -g*l, l = -l + 4*d + 50. What is the remainder when l is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)*-2 - sqrt(153))\/sqrt(9).\nAnswer: -3*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1588 divided by 256.\nAnswer: 397\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246, -2520, -3794, -5068, -6342, -7616?\nAnswer: -8890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -0.32, 2\/5, -0.16?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -c - 2*v, -3*c + 4*v = -192 + 55. Suppose -4*f + c + 1 = 0. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 2*i - 8. Let m be s(4). Let r = m + -28. Suppose 3 + 7 = 5*q. Solve r = -q*j + 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 682 or 649?\nAnswer: 682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 24. Suppose 0 = -2*d + y*l + 93, 3*l + 162 = d + 2*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0*n))**(-4)*n*n**6*n**(1\/7) assuming n is positive.\nAnswer: n**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7877*l**2 + 78769*l - 12. Determine u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50113 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.729 + 0.271. Which is the closest to 2.74? (a) -2 (b) -1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*b = 762 - 200, -4*b - 8 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 193*w**2 - 4*w - 60*w**2 - 59*w**2 - 47*w**2 - 4*w**3 in the form k + g*w + x*w**2 + m*w**3 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 241812037 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 616910122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r = -40*r - 336. Let u be 6 + 82\/r - (2 + 0). Which is bigger: 14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**1*m)\/m)**(-36)*m**(-6)\/m**(1\/6))**30)**(-4\/37) assuming m is positive.\nAnswer: m**(5060\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllmlllmll. Give prob of picking 3 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -35. Let d = 0 - u. Let h(i) = i**2 + 1. Let n be h(d). Solve 5*b = -x + n, -3*b + 4*x = 2*x + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 - 410. Let b be ((-30)\/c)\/(1\/(12\/(-10))). Let r be -1 + 3 + -3 - -5. Solve 2*s - s - 21 = -r*a, 4*a - 18 = b*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 11}. What is prob of picking 1 j and 3 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-4))\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 87*i**2. Let t(h) = 11607*h + 1. What is t(m(j))?\nAnswer: 1009809*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -30*u**2 - 246. Let s(f) = -30*f + 9. Calculate m(s(v)).\nAnswer: -27000*v**2 + 16200*v - 2676","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/2 + 32955\/130. Calculate the greatest common factor of 235 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 minutes before 10:02 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**2 + 19*y**2 + 4*y**3 + 1 - 2*y - 3*y**2 in the form v*y + m*y**2 + z*y**3 + f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**5\/5 - 11*n - 11. Differentiate t(o) wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19290\/13 - 423171\/286. Let w be 6456\/(-35) - (152\/(-20) - -7). Let b = w + 375\/2. What is the common denominator of b and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/4 + 20*j**3\/3 - 12*j**2 - 63*j. Let v be p(-14). Solve -4*c - 6 = t + 2, -v*t - c - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Let a be (-1 - (-2 - -4)) + 6. Suppose 6*h - 15 = a*h. What is the second biggest value in 2\/7, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/120 + i**5\/12 - 5*i**4\/24 + 7*i**3\/6 - 13*i**2 - 36*i. Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 13. Let a be -1*u\/(-2) + 5. Let q be 1*(1*-2)\/(-2). Solve -3 - q = a*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 2ac9a63?\nAnswer: -2ac9a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 15*r + 11*r - 35*r - 9 + 11*r to n*r + f*r**2 + l*r**4 + w + p*r**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 753*o**3 + 1196*o**3 + 6430*o**3 - 3 - 10*o + 1 + 8*o + o**3 + (-2*o + 2*o - o**2)*(3 + 2*o - 3).\nAnswer: 8378*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5252, -9959, -14676, -19409, -24164?\nAnswer: -28947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/7 < 1\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 - 3*f + 44. Calculate q(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2989\/122*564\/(-329)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16214 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: b\"What is the yth term of -92, -93, -94, -95?\n\"Answer: -y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48231, -5\/6, 1.9.\nAnswer: -5\/6, 0, 1.9, 48231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 2*z**2 + 0*z**2)*(-84 + 4*z + 84) as r*z + b*z**2 + l + j*z**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.96635*4.\nAnswer: -15.8654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10788 - -10788.000041487. Round r to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 363. Let h be z(-35). Is h + 55 - -5*1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361914 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:08 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4692139180 to the nearest 1000000.\nAnswer: 4692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 1 - (5 - 5)\/1. Sort m, -1, 0.3, -5.\nAnswer: -5, m, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 3 + 50 + g**2 to the form r*g + p + d*g**2 and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/2, 667?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, o: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1840 and 2160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -49 - 2*f + 27 + 26 + 5*f. Let w(s) = s**2 - 2*s - 22. Let g be w(-4). Let r(n) = -6*n - n - 15 - 5 + 11. Determine g*r(p) + 5*c(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 - 17*t + 1. Let k(v) = -v + 2*v**2 + 3*v**2 - 8*v + v. Let x(o) = 9*k(o) - 4*z(o). What is the units digit of x(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1107, -1109, -1115, -1125, -1139?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54029 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 6*n - n - 15 = 0. Suppose 0 = -z + n - 2. Sort z, a, -3 in increasing order.\nAnswer: -3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 - 8*z - 5. Let a be h(-7). Let u(k) = -k**3 - 8*k**a + 1 + 18*k**2 + 9*k + 2*k**3. Suppose 494 = -38*i + 152. Calculate u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/20)\/(6\/4) + 4 - -1170. Calculate the greatest common factor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42153 (base 7) in base 6?\nAnswer: 120013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -12013001113100?\nAnswer: -12013001113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 212 = -247 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*12\/20)\/(20\/200)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -32?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 806, 136 in decreasing order.\nAnswer: 806, 136, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -114*b - 144. Let t(m) = -23*m - 27. Let f(p) = 3*s(p) - 16*t(p). Let u(o) = -56*o. Calculate u(f(y)).\nAnswer: -1456*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0*y**4 - 3\/2*y**2 - 3*y + 1\/20*y**5 + 0 + 0*y**3. Differentiate b(z) with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -296, -390, -486, -584?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/4 + 13*a**3\/3 + 29*a**2. Let y be k(-6). Is (-11386)\/(-8) - (y\/(-8) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 25\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 549167984*v**3 - 940634145 with respect to v.\nAnswer: 1647503952*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v + 1. Calculate the lowest common multiple of (-7)\/28 - (-2 + (-51)\/12) and (-31)\/(-2) - v\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 36. Let w(b) = b**3 - b**2 + b - 161. Let o be w(0). Let f = l - o. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + y**3)*(4 - 2 + 0) + 96 - 12*y**3 - 96 + (-6*y**2 + 0*y**2 + 4*y**2)*(52*y - 28*y - 33*y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -3 + 0 + -5 - 32\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzee when four letters picked without replacement from uzteeetzeetyee.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyw when three letters picked without replacement from {y: 1, w: 2, k: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*y = 0. Suppose 2*l + 5*c - 13 = y, 2*l + 4*c = c + 3. Put 0, 1, l in descending order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 134449 - -4?\nAnswer: 134451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:55 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*p + 8*p - 138 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 1}. What is prob of picking 1 f and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 8*n - 4*n + 5*g, -3*g - 11 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/5, -4.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnn when three letters picked without replacement from hnhhnhhnhhhnttnnhn.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-44490)\/(-270) - 2\/(-9) and 385.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37042 and -4.\nAnswer: -148168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*z + 236 = 701, 0 = r + z - 157. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(30\/(-2))*(-315)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-55 - (-33 - -39))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167181, 668598, 1504303, 2674296, 4178577?\n\"Answer: 167144*i**2 - 15*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444510 a multiple of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**10\/75600 - g**9\/7560 - g**8\/3360 + g**5\/20 - 4*g**2. Let t(p) be the third derivative of u(p). What is d in t(d) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 4459.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, t: 1, v: 2, d: 1, k: 2}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*p = 132*p - 11716200. Does 80 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = -0. Let f = 9 + o. Suppose 0 = -2*g + f, 2*g - g = -3*a + 42. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -985\/430238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530117 is divided by 401?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 238 - 1\/(32\/(-12) - -3). Let r(l) = -121*l**3 - l. Let t be r(1). Let v = n + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 734454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222 times 2.7\nAnswer: 599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 527 and 7?\nAnswer: 3689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-12))\/(111\/9). Let f = 43\/222 - o. Sort 0.1, -3, f in descending order.\nAnswer: f, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 69*m**2 + 7*m + 524. What is the tens digit of q(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from yxqxxxq?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 + 5*h - 5. Let d be s(-6). Let p = -61 - d. Let j = -21 - p. What is the closest to -1\/4 in 1, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1157.366261938 - -1762.366262239. Let g = -605 + x. What is g rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41694329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 16633120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.95821 minutes to milliseconds.\nAnswer: 2577492.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217.0591793 + -214.52919. Let j = -2.53 + c. Round j to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5665021 + -909538. Let f = 1744263 + i. Let t = -569704 + f. Round t to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4035 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 - (0 + -9)) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 218, 215, 214, 215?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(308)\/(sqrt(11)*2))**2.\nAnswer: -24*sqrt(7) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 3743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -263927407 or -263927404?\nAnswer: -263927404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 5, t: 5}. What is prob of sequence ata?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2163340 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-150)\/(-56))\/(61\/(5551\/(-26))). What is the second smallest value in -0.5, 4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 41*v**2 + 923*v - 4950. Calculate w(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - 20?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Differentiate -y*f**4 + 0 + f**4 - 3*f**4 - 2 wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4299*n + 5. Let h(j) = -8597*j + 11. Let d(w) = 3*h(w) - 7*t(w). Let k be d(1). Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*s = -5, 20 = 2*o + 2*o + 4*s. Let b(p) = p - p**2 - 5*p**3 + 4*p**3 + 7 - 4*p**o. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 99*m**3 - m + 1. Let q(d) = -d**2 + 5*d + 1. Let y be q(5). Let r be c(y). Let u = r - 61. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 38*p - 2*p**2 - 340 + 2*p**4 + 173 + 167 to u*p**4 + a + f*p**3 + o*p + r*p**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 6. Let u be i(4). Suppose -5*t - q = -u, 0 = t + 2*q - 2. Let n(w) = -w + 0*w - t*w. Let x(r) = -4*r. Calculate n(x(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n, 0 = -10*l + 6*l + 5*n + 39. Solve 3*v + 3*x - 1 - l = 0, -2*x + 20 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/12 + f**3\/3 - 8*f**2 - 2694*f. Give a(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/68*(6 + -7). What is the second smallest value in c, -13, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6031 and 2368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**4 + 0*c + 0*c**6 + 4 + 0*c**2 + 0*c**5 - 6\/7*c**7 - 2\/3*c**3. What is the third derivative of d(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -2, 20, 42?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z + 3. Let l be g(-5). Suppose 152 = q + l*q. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -4)*5)**2.\nAnswer: -2400*sqrt(13) + 47200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 25*w + 90. Let f be v(28). Let y(h) = 9*h**3 - 6*h**2 - 7*h + 7. Let u(k) = 8*k**3 - 5*k**2 - 6*k + 6. Determine f*y(a) - 7*u(a).\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 3*b - 2*b)*(2*b**2 + 0*b + 0*b) - 24 + 9*b**3 + 24.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 1\/2, 0.1, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 2. Let u be o(-4). Suppose u*p = 5*p. Let c = p + 2. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53382014527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-2)\/76). Suppose -3*d - 7 = -u. Solve -2*i + 12 = -2*s, 2*s - 3*i + 19 = d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1495 - -3293. Let o = 187 + i. Suppose 3*a - o = -2*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127945380 divided by -51076\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464 - 459 - 5*k - 5*k + 923.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 less than -0.18281?\nAnswer: 50.81719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-7 + 10) + 0. Suppose -f + m = 23, 2*m + 49 = -3*f + m. Is q less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815225 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*y**2 - 6*y**2 + 12*y**2 + (-2*y + 2*y + 2*y)*(-2*y + 2 - 2) + (-3*y - 2*y + 3*y)*(-3*y + 2*y + 2*y) + 12*y**2 + 126*y - 126*y.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.199846 - -18.2. What is i rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8 - 1 - 4*p + 0*p. Let z(f) = -f + 5. Let g be z(0). Let n(d) = -5*d + 8. Let k(j) = 2*j + 2. Let y be k(-4). Calculate g*n(q) + y*h(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12472 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (12 + -7)) + 20\/2. Let q = -7 + 4. Put q, a, 1 in increasing order.\nAnswer: q, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 1.79318503613874 and -3.\nAnswer: -1.20681496386126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139118551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - 3*t**2 - t + 2*t - 275 + 0*t - 4*t**3 + 300 to the form s + n*t + z*t**2 + u*t**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17668517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:34 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 3*c. Let s(p) = -3*p**2 - 4*p - 1. Let i(f) = 1391*f - 2785. Let h be i(2). Give h*m(t) - 2*s(t).\nAnswer: -3*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -5*q + 91, 562*h - 21 + 25 - 8 = 4*q + 566*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/((-457527)\/(-76251) - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4259, 4265, 4275, 4289?\n\"Answer: 2*f**2 + 4257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101111011110010111 (base 2) in base 12?\nAnswer: 125881b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -289*p - 254. Let f(o) = 192*o + 169. Let u(w) = -5*b(w) - 8*f(w). Find the first derivative of u(x) wrt x.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1244578 or 0?\nAnswer: -3\/1244578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 401*o + 15 - 11 - 396*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sfsssssssssss.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 174. Suppose -167 = 8*s - 127. Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1213\/30 + -221\/6. Which is the second smallest value? (a) -0.2 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -4*n + 3*y, -4*n + 20 = -3*y. Suppose -l + 3*v + 6 + 14 = 0, -v = n*l - 54. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6553039, -13106065, -19659091, -26212117, -32765143?\n\"Answer: -6553026*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 80*i**2 - 483*i - 736. Determine b(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -212. Let j = 8.51 - 8.11. What is the nearest to 1 in s, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-31)\/x)**(-15)\/(x*x**(-2\/19)*x*x**(-21)) assuming x is positive.\nAnswer: x**(9483\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 2*k, -7*b - 3*k + 24 = -3*b. Find j, given that -j**b + 7*j**4 - 4*j**4 + 3*j**3 + 0*j**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -99, -15, 4 in increasing order.\nAnswer: -99, -15, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84258 smaller than 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 847471.6, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*-17*(-2)\/68?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 317.09 + -317. Let m = g + -0.09. Which is smaller: m or 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*o - 3*o. Let r(d) = -d**3 - 1 + o*d**3 + 5*d**2 - 2*d**3. Calculate r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4026 and 9\/6100.\nAnswer: 201300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 4\/3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04223 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3123561*l**5 + 718*l**2 + 339*l + 2 wrt l.\nAnswer: -187413660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.2. Let r = 0.3 - 4.3. Let m = 5 + r. Is m less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 29. Let j be (-5)\/((-15)\/z) - -16. Which is bigger: j or 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g)*(4*g**3 - 5*g**3 + 3*g**3) + (4*g**2 - 2*g**2 - g**2)*(3*g**2 - 15*g**2 + 10*g**2).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 13128758.\nAnswer: -28\/6564379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18699 is divided by 890.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 288*l + 353. Determine t(-145).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 3490\nAnswer: -36\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 4*o - 4*o)*(-3502*o**2 + 26564*o - 26564*o).\nAnswer: 7004*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 3*r - 128. Suppose -2*a - r = -3*a. Calculate the highest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1266 + 62?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230110031 + -1121?\nAnswer: -230111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.4 (c) -38918\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, d: 9}. What is prob of picking 3 d?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 10*f**2 + 2*f - 7. Give v(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4)\/(-10) + 142880345\/1825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f - 0. Suppose 5*p = -f*j, -j - 15 = -2*p + 2*j. Suppose -2*t + 13 = -3. Solve 5*o = p*o - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21845?\nAnswer: 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -29 - 15 - -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v**2 - 6*v + 5. Give q(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3 + sqrt(288)\/(sqrt(6)*2))*6)**2.\nAnswer: -432*sqrt(3) + 751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 5. Let d be 4\/a + (-1708)\/77. Let x = d + 32. Solve -t - x = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 4*m**2 - 4*m + 8. Let k be s(-5). Find the third derivative of l**k + 6350*l**4 - 3*l**3 + 13*l**2 - 6381*l**4 wrt l.\nAnswer: -744*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-78)*((-2)\/(-8) - (21984\/128 - 14)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-99)\/(-12)))\/((-1)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -6, -1\/4, 2\/15, -4 in increasing order.\nAnswer: -6, -4, -1\/4, 2\/15, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - -163. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*((-1052)\/(-29193))\/((-1)\/2)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 478*i - 47327. Calculate u(99).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/2*((24\/10)\/2)\/((-6390)\/10650)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437\/7 - -62. What is the closest to 0 in -2\/11, g, 3.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6728 - 6725. Solve m*o = s + 2, 0*s - 15 = 5*o + 2*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/9 - 34*r**4\/3 - 1732*r**3\/9 - 9724*r**2\/9 + 578*r\/3 + 9826\/9 = 0 for r.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 2673*j - 2673*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348910, 348911, 348912?\n\"Answer: s + 348909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296390*d**2 + 86098*d + 5364 = 0. What is d?\nAnswer: -1\/5, -2682\/29639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/(d*(d*d**6*d)\/d))\/(d**(-13)*d**(-1)))**(-38) assuming d is positive.\nAnswer: d**(-1064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42201 + -4334100?\nAnswer: -4431301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 3*r. Let t(f) = -2*f**2 - 4*f. Let d(b) = 3*t(b) + 4*w(b). Let v(k) = -54*k**2. Determine d(v(j)).\nAnswer: -5832*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/5)\/m)\/m)\/m)**(-2\/47)*(m\/(m**0\/m))**(-9\/8) assuming m is positive.\nAnswer: m**(-2019\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740301358?\nAnswer: 2, 859, 1012981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 9 + 71 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173210738 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzhtkyyhyhzhzyhzzyh. Give prob of sequence ktyt.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 24 = 0, 0 = -18924*r + 18926*r + 3*t - 42 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3454*r + 48362. Calculate b(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(576) - sqrt(216)\/(sqrt(24)\/sqrt(4)))\/((sqrt(72) - (sqrt(72)*1*-3 - sqrt(72)))\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.3 + 15. Sort 3\/8, 4, 4\/5, t in ascending order.\nAnswer: t, 3\/8, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 980.426 meters?\nAnswer: 0.980426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/96782760 and -89\/60?\nAnswer: 96782760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 11) to base 4\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:09 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3271 - -3285. Let w = 14.8 + -16. Let z = 1.3 + w. What is the closest to z in -1\/2, m, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 3*j**6\/10 + 3*j**3 - 2*j. What is the second derivative of r(x) wrt x?\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36475 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/34)*k\/k**(-14)*k*(k*k*k**6)\/k**(-2\/25))**(-27) assuming k is positive.\nAnswer: k**(-554661\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24910189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 38 + 954. Let x = 486 - o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 58316?\nAnswer: 58316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5027*f - 5026*f = 14 - 40, f = -16*o + 100 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -134445 (base 8) in base 12?\nAnswer: -23519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-19)*i\/(i\/i**(-5\/4)))**(-1\/5) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162431, -324862, -487293, -649724, -812155, -974586?\nAnswer: -1137017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 18*a - 32. Let m be (-1)\/(256\/(-84) + 3). Let d = m - 5. Let f be s(d). Which is bigger: -2\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - 3) - ((7 - 4) + -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = -4*q - 0, -3*n + 19 = -5*q. Suppose -2*l = n*t - 18, -5*t = 5*l - 0*t - 45. Factor -l*o**4 - 3*o - 3*o**5 - 110*o**3 + 104*o**3 + 3*o.\nAnswer: -3*o**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.24 + 0.1\nAnswer: -5.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4348 - -4353. Solve g*f + 3*h = -1, -12*f + 14*f + 19 = 5*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52401059 to the power of 1\/2, to the nearest integer?\nAnswer: 7239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -0.06, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -77, -78, -79?\n\"Answer: -o - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 28. Suppose 3*j - s*r - 43 = 14, -j + 5*r = -19. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3091000 and 27\/456625.\nAnswer: 40183000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100912 and 714?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 1231*p**2\/5 - 144612*p\/5.\nAnswer: p*(p - 108)*(p + 1339)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 27. Suppose 0*l = 3*t - c*l - 413, -2*l = -4*t + 550. What is the units digit of t\/9 - 62\/279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.8 in -5, 0.073, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11570 - 11567. Calculate the greatest common divisor of 813 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133463928.\nAnswer: 2, 3, 13, 31, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.442 - 88766\nAnswer: -88767.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3964, -7937, -11914, -15895, -19880?\nAnswer: -23869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 4*j + 6 - 75 + 449 + 295.\nAnswer: 4*j + 773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab (base 12) to base 11.\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 535841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4)\/(5\/(-15)*-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 v when four letters picked without replacement from {f: 12, v: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -0.9?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -475129 and 0.3?\nAnswer: -142538.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4665 - -6587. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112427, 448344, 1008213, 1792040, 2799831?\n\"Answer: l**3 + 111970*l**2 + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152910?\nAnswer: 2, 3, 5, 105097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)*v)\/v)**(-5\/8)*v**(-2\/23)*v*v**(-5\/6) assuming v is positive.\nAnswer: v**(137\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*j - 10, 2*i + 3*i + 25 = 3*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/8)\/((n**(-37)\/n)\/n*n))\/((n\/(n**(-32)*n))\/(n*n*n\/n**(-11\/3))) assuming n is positive.\nAnswer: n**(319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) + 4\/(-18). Let z be (12 - -3)*16\/6. Suppose 0*d - 4*d + z = 0. Solve 6*q - 4*q + d = u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 61563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17562096 by 650448.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 67*i - 11 = 70*i, -2*r = -4*i - 22. Which is the nearest to 3\/5? (a) -2\/9 (b) r (c) -3 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 110*r**2 - 225*r + 366. Calculate z(-112).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 3*c**2 - 61*c**3 - 11 + 62*c**3 to k + v*c + n*c**3 + u*c**2 and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -4, -1\/15 in increasing order.\nAnswer: -4, -1\/15, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzttppnptnzzst. What is prob of picking 1 t and 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-11 + 11)*1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.313 + 0.013. What is the fourth biggest value in 1\/3, 6, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*h + 36, -4*u + 52*h + 24 = 50*h. Solve -u*d - 16 = f, -3*f + 6*f - 5*d = 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 7*w + 158 = 100, 72 = 5*y - 13*w for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-3240)\/(-8))*-6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 14*n**2 - 32*n + 24 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4107 and 195841.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -25 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5073 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y. Let s be b(-1). Suppose -s*h + 40 = -4*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 345, 307, 251, 177?\n\"Answer: -9*n**2 - 11*n + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -12, 0.1, -3, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 + w**2 + 0*w + 2 + 3*w. What is the remainder when (-9)\/15 + (-906)\/(-10) is divided by v(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523516 is divided by 261739.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747, 1510, 2273, 3036?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -15538485?\nAnswer: 15538485.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a factor of 402218937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 154387103 and 110?\nAnswer: 154386993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 14*m**2 + 24*m - 55. Is q(-17) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 5*i + 111 = 5*x, 0 = -i. What is the common denominator of x and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -275, 1, -5, -7, 3, -256, -4 in decreasing order.\nAnswer: 3, 1, -4, -5, -7, -256, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 2*o + 0*o)*(0 - 3 + 1 + (-2 - 2 + 6)*(0 + 2 + 0) - 7 + 2 + 2) as y*o + b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 459448.879 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -33. Let c = -19 - -47. Let x = c + -13. Calculate the remainder when b is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-66))\/(-1 - 5\/(-6)). Let g(v) = v**3 + v**2 - v. Let q(a) = -6*a**3 - 6*a**2 + 3*a. Determine m*q(b) + 4*g(b).\nAnswer: -2*b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26778442487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/29776 and -107\/324976.\nAnswer: 604780336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.169 - 0.231. Let u be (-1)\/12*(1 - 4). What is the closest to u in -0.5, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmrm when four letters picked without replacement from {z: 6, f: 2, r: 4, p: 1, m: 2}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 55 in increasing order.\nAnswer: -1, -0.5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 + 23 = -19*j. Find b, given that 38 + 4*b**3 + 56*b + j*b**2 - 23 + 17 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -103845 (base 13) to base 11\nAnswer: -239a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241773 * 1.\nAnswer: -241773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*d - 40 = 0, 0 = 2*n - 0*n + 2*d - 22. Suppose -o + n = o. Solve -y + 2*y = -o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56424, -113318, -170216, -227118, -284024, -340934, -397848?\nAnswer: -454766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - 1632\/(-5 - 29).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2 - (12 - 0 - 12)) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-28) - (-3)\/21. Let p(j) be the first derivative of 1\/12*j**3 + 1\/4*j - 1 + i*j**2. Factor p(a).\nAnswer: (a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2845000 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.4 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274894 is divided by 231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 + 10*c**3 - 10*c - 5 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 5*t**5\/2 - 7*t**3 - t**2\/2 + 2*t + 49. Find the second derivative of c(x) wrt x.\nAnswer: 300*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*m - 5 = 0, 5*k + 4 = -0*m + 4*m. Suppose -4*l + 2*l = k. Solve 4*w + 0*w = l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from sdsssssssssds?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*1*sqrt(343) - (sqrt(343) - (sqrt(343) - (0 + sqrt(343) + -2)))))**2.\nAnswer: 112*sqrt(7) + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 45*r - 484. Determine v(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - p - 19351, 0 = 2*n + 3*n - 3*p + 48405. Let v be 0\/(-3)*(1 + 0) - 114. What is the units digit of (-2)\/(-19) + n\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -539 - -544. Let t be 16\/(-36) - 4\/(-6). Let q be (-32)\/6 + 2 - -2. What is the second smallest value in w, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -319b - a?\nAnswer: -31a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 19*c - 80. Determine r(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*(-52)\/65.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 1, h: 1, i: 6, f: 2, o: 5}. Give prob of picking 1 f, 1 g, and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6125 (base 14) to base 9.\nAnswer: 24807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*h + 15 + 3, 0 = 2*t + 2*h - 8. Let o be 0 - t\/(-2)*2. Is o\/5 + (-17264)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 4*p - 5. Let j(d) = d**3 - 2*d - 2. Let l(c) = -2*c**3 + 4*c**2 - 2*c - 1. Let b be l(2). Determine b*j(o) + 2*f(o).\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 3034 = -59*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -451, -687, -929?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1048*k**4 - 464*k**4 - 2*k + 2*k)*(0 - 1 + 5).\nAnswer: 2336*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 - 14*k**3 + 7 - 482425*k + 0*k**5 - k**5 - 9*k**4 + 482440*k = 0. What is k?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let i be (6\/(-75))\/(6\/10). Which is the second biggest value? (a) i (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 25926 - 25434 = -101*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 - 3*c - 3. Let s(d) = -d**2 - 1. Let b(r) = m(r) - 5*s(r). Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3458161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2575*q - 2569*q - 30 = 0. Let x(k) be the second derivative of -2*k**2 - 2\/3*k**4 + 5\/3*k**3 + 0 + 1\/10*k**q - 23*k. Factor x(l).\nAnswer: 2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d50 (base 16) to base 3.\nAnswer: -1122000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*a**3 - 1083*a**3 + 82*a + 327*a**3 + 421*a**3 - 95*a.\nAnswer: 86*a**3 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 - 5*p**3 + p**2. Let m(g) = 6*g**2 - g. Let a be m(1). Let t(r) = a*r**3 - 9*r**3 + 3*r**3. Let q(s) = h(s) - 5*t(s). Solve q(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -6*o - 5656. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g - 5*g = 0. Suppose -2*h - 3*h - 62 = -2*s, 5*s - 3*h - 117 = g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 12062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:08 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 2954 - 9234. Let y = -601 - r. What is the greatest common divisor of y and 405?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.54. Let d = s + -0.34. Let f = 2 - 2.03. Which is the third smallest value? (a) 5 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 7. Let j = u + -6.4. Which is the second biggest value? (a) -4 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0 + 0)*(2 - 2 + 2)*(0*t**2 - 2*t**2 + 1 - 4) in the form o + k*t + z*t**2 + h*t**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let a = 244 + -983\/4. Let x = -2 - a. Put -0.05, q, x in descending order.\nAnswer: -0.05, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6669447\/5 = -1333889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 34608*y + 299428416.\nAnswer: (y - 17304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**3 + 439*h**2 + 5*h + 551. Give b(-22).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from fftttfffftfftf?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 2)*(6 + 13 - 1).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/819 + -18835\/1638. Let x be (-2)\/(-11) - (-83496)\/(-457534). Let u = x - 210905\/53478. Find the common denominator of u and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14136 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (0 + 16 - (308 - 255))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/6 - 0). Suppose -b = 4*j - 2*g, -j + 0 = g + 2. What is the remainder when 62 + ((-2)\/j - 3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 n when three letters picked without replacement from vzpypayypnzp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 204, 295, 386, 477?\n\"Answer: 91*o + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 - 334141432?\nAnswer: -334142113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -1\/6, -4, -98 in descending order.\nAnswer: 0, -1\/6, -4, -11, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3201857 to 3 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -6*o + 11*o. Suppose -2*q = -3*v - 16, o = -0*q + 3*q - 15. What is the biggest value in 3, v, 0.2, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270743359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59045183 to the nearest integer?\nAnswer: 7684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let u(a) = -5*a + 1. Let r(x) = -2*u(x) - 11*z(x). Let h = -15 + 10. Determine r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -2\/5*q**4 - 6 + 2\/15*q**6 + 0*q + 2\/5*q**2 + 0*q**5 + 0*q**3. Find i such that c(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*f**3*n - 67188*f**3 - 734*f*n - 1233*n wrt f.\nAnswer: -390*f*n - 403128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1497324, 3, -0.6?\nAnswer: 1497324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppgppppppppgpppppg?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2 - 1) + 1 + -2871 + 2881\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(6\/(-4) + 0). Let k = -22 + p. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2512866, 5025734, 7538600, 10051464, 12564326, 15077186?\nAnswer: 17590044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 80 - 80.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g + 1032 = -139*g for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 5 = 0. Suppose 176 = q + 3*q. Suppose l - 5*l = -4*r - q, -53 = -3*l - 2*r. Solve i*k = -4*d + 27 + 13, 5*k - l = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2220*b**3*u**2*y**2 + 191*b**2 + b*u**2*y**2 + u**2*y + 3*u*y wrt b.\nAnswer: -13320*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w - 4*o + 380 = 0, -3*w - 4*o = -287. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -364 - 7543444374.\nAnswer: -7543444738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-3 + 1\/(-2)*-2. Let b(m) = 2*m**2 - 7*m - 11. List the prime factors of b(y).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**26*g)\/(g**(4\/23)*g))\/((g\/(g**(2\/37)*g))\/(((g\/((g\/(g**22\/g))\/g))\/g)\/g)))**(1\/79) assuming g is positive.\nAnswer: g**(39044\/67229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 0.0780092 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 543070 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -7134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107201 + 2?\nAnswer: 107203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 103*h**2\/2 - 53*h + 104.\nAnswer: (h - 104)*(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 3, x: 6, u: 4}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/((-282)\/(-88))*2\/(-2)*(-270)\/(-72).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.8 + 8.9. Put 0.4, c, -1\/2 in descending order.\nAnswer: 0.4, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc16 (base 13) to base 15.\nAnswer: 7b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11085 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-25) - 64\/(-20). Suppose f*a - 30 = 3. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 36, 56?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/527 and 93\/68?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*f + 6 = -3*i, -f = -2*i - 2. Factor -1\/5*g**3 + 0*g + i*g**2 + 0 - 1\/5*g**4.\nAnswer: -g**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1392 and 1320080?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806189 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1526 and 27512908.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 65*p + 133. Determine l(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(-2 + sqrt(684) + -2))**2 + -2.\nAnswer: -10800*sqrt(19) + 157498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -280, -1147, -2604, -4651, -7288?\n\"Answer: -295*b**2 + 18*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x - 3. Let j(v) = 11*v**2 + 6*v. Let z(i) = 9*i**2 + 5*i. Let m(k) = 5*j(k) - 6*z(k). Give m(c(l)).\nAnswer: 36*l**2 + 36*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 2\/9, -1\/5, -94, 1\/5, 2 in decreasing order.\nAnswer: 2, 4\/5, 2\/9, 1\/5, -1\/5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -2.9 (c) 44\/9 (d) 0.8 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w - 21. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u - 3. Let s be (u\/6)\/(2\/(-12)) + -3. Solve s = -4*g + 6 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -l, -5*i + 8 + 7 = -2*l. List the prime factors of -324*(l + 27\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 2.487.\nAnswer: 1.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36d (base 16) to base 8.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23039, 46064, 69089?\nAnswer: 92114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5841 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42804 by 5.\nAnswer: 42804\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 26*d + 89. Let q be b(-3). Let o be ((-9)\/4)\/(3\/(-40)). What is the remainder when 19 is divided by (-15)\/o + 23\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24911, 25558, 26205, 26852?\n\"Answer: 647*m + 24264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*l**3 - 9697 + 9697 - 197*l**3.\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58001688 divided by -2.\nAnswer: -29000844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 3, 1 in ascending order.\nAnswer: -69, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 388058 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2415?\nAnswer: -2\/2415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = -0*v - 3*v, l = -v + 2. Suppose 2*c = l*c - 2*d - 2, -5*c + 4*d = -4. Solve -u - 2*u - 15 = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(3\/11)\/w)\/w**(1\/12)*w**(-9)*w*w\/((w**(3\/2)*w)\/w*w) assuming w is positive.\nAnswer: w**(-1097\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 49 = -3. Solve 5*k - 2*x = -13, 5*k = -g*x - 1 + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(1584))**2 - sqrt(1584)) + sqrt(1584) + -3 - (3 + -1*(sqrt(1584) + -2) + sqrt(1584))**2.\nAnswer: -7948 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6. Let p be 15\/(-10)*(0 + -2). Suppose 4 = -5*l - 3*d + 19, -3*l + p = n*d. Solve -z - 10 = -l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let o = -10 - -65. Let p = o + -52. Let d(f) = p - 21*f**2 + 0*f**2 - 3. Calculate d(j(l)).\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -325192*k - 3577109. What is d(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13045.5573 to zero dps.\nAnswer: -13046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -17. Suppose -730 = 3*y - v*y. Suppose -y = -j + 70. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/(-2))*(-2679)\/376*-8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24201 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/7 - 40*b**2\/7 + 34*b - 300\/7 = 0. Calculate b.\nAnswer: -25, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15748 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 39*r**2 - 3*r - 4. Let t be i(-3). Let f = t + -286. What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 14*s**2 - 11*s - 22. Let k be w(13). Suppose -52 = -k*v - 2*d, 6*v = 3*v - 2*d + 40. Calculate the smallest common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7835*y**5 + y**2 - 4101*y wrt y.\nAnswer: 470100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 1)*-1 - -2. Let j = 862.3 + -862. Sort -2\/27, j, l, -2 in decreasing order.\nAnswer: j, -2\/27, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:17 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 40 = 54*s. Which is bigger: 14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((20 - 36) + 50).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/525 and 47\/20205?\nAnswer: 707175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 66, -30, -172, -360, -594, -874?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-4)*8\/(-6). Let p = 165 + o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 4*n**3 + 0*n - 4 - 1\/2*n**4 + 0*n**2. What is the third derivative of q(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s + 1629 = -79*s - 5*n, 691 = 3*s + 5*n. What is the remainder when s is divided by 115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8115535723 to the nearest 100000.\nAnswer: 8115500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/1700)\/(32383\/1410 + -23)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -529744?\nAnswer: 529748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1235 - 1256 = 2*b, 5*b = -d - 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 349*l - 11126. Calculate t(-36).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 13089 = -2289. Suppose 14*l = 19*l - 4*c - 1164, 0 = 5*l + 5*c - s. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 320\/(-30) - 3 - 3 and -97\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 1. Let z be c(2). Suppose z*s - 106 - 391 = 0. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 2 + 2 + (-2*u**2 - 2*u**2 + u**2)*(0 - 3 + 2) - 4*u**2 + u**2 + 4*u**2 as n*u + z + s*u**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3411 and -83\/90.\nAnswer: 34110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 10. Let b(h) = -9*h**2 - 2*h + 10. What is 3*b(l) + 4*s(l)?\nAnswer: l**2 - 6*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 0*l)*(-2*l**2 + 10*l**2 + 0*l**2)*(-3*l + 2 - 2).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21834, -43636, -65442, -87252, -109066, -130884, -152706?\n\"Answer: -2*m**2 - 21796*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-217) + (-62)\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Suppose 0 = -3*d - 7 + 13. Let g(n) = 15*n**2 - 26*n**d - 17*n**2 - 38*n**2. Give g(m(l)).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371980225?\nAnswer: 5, 181, 745189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-48) - 2)*(-2040)\/(-1530).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - z. Suppose 4*v - 16 = 2*a, 5*v + 4 - 2 = -3*a. Suppose 2*o - v = -0. Let k = -2 + o. What is p(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + 5*q + 5. Let g be h(4). What is the greatest common factor of g and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10566325?\nAnswer: 5, 7, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848917 divided by -264131.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5352 + -5301. What is the highest common factor of h and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2331 - -9554. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 285\/23, -2\/7 in ascending order.\nAnswer: -2\/7, 3\/8, 285\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14 - 3*j + 0*j - 33 - 4*j + 3. Let d be z(-4). Let g(a) = a**3 - 12*a**2 + 2*a - 13. Determine g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 980*w**2 + 2*w - 550*w**2 to o + s*w + g*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 9*y - 17. What is o(-16)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 5*l = -3*c + 26, -22 = -c + 5*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-328)\/(-20) + (-4)\/10. Suppose 0*u + 8 = 2*u, -4*u + b = -3*x. Is 2\/9 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29642, 30237, 31228, 32615?\n\"Answer: 198*i**2 + i + 29443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2593 = -11*b + 182711. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) -1\/6 (c) 2\/5 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1614159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) + ((-18135)\/21)\/5. Let d = q - -298. Let z = d + -102. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 931710 by 15.\nAnswer: 62114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-2 + sqrt(153) + (sqrt(153) + -3*sqrt(153))*2)\/((-1*(-2*sqrt(99) + sqrt(99)))\/(-5*sqrt(11)*-1))*4.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561 (base 10) to base 7.\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -z + 24, 4*p + 32 = 4*z. Suppose -1503 = 3*g + 4*m - m, -z*g - 4*m = 1504. What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 6) + 2 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -9*c**7\/70 - 41*c**5\/60 + 23*c**2. Find the third derivative of j(w) wrt w.\nAnswer: -648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/120 - f**5\/15 - f**4\/4 + 7*f**3\/6 + 2*f**2. Let c be o(5). Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*i - 1398 - 3074 - 2667 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 481.09 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265995 is divided by 112.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(42\/350)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-9424888.\nAnswer: 2827466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 611*a**3*s**3 + a**3*s**2 - 781*a**3*w - 8*a**2*s**2 - 2*a*s**2 + 299*s**3*w - 8*s**3 wrt w.\nAnswer: -781*a**3 + 299*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = -2*m, 2*f + 2*f = -4*m - 12. Suppose 1 = 4*u + 5. Suppose -2*x = 5*c - 16, 2*x + 2*x = -3*c + 18. Sort m, x, u in descending order.\nAnswer: x, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 + 2*q + 3. Let m be u(3). Suppose 0*j - j + 5 = m. Suppose j*n = 25, 5*x + 6*n = n + 10. Put 12, -1, x in ascending order.\nAnswer: x, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = a + 2*g, -12*a - 3*g + 1 = -10*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 560087 times -24.4\nAnswer: -13666122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22*h + 3. Let q(m) = 8024*m. Determine z(q(t)).\nAnswer: 176528*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-33)\/(-30)*(5\/(-2))\/(12 - 17) and 21\/772?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 29 = -6*h + 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21685 (b) 0.1 (c) 3\/5 (d) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 405*p**3 + 23*p**2 - 4*p - 4. Let x(i) = -1214*i**3 - 61*i**2 + 11*i + 11. Give -8*f(g) - 3*x(g).\nAnswer: 402*g**3 - g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 655*a**2 + 96*a + 309. Is d(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62245.43 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:35 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449318 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/6 + -1*46. Let j = 84 + v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25184 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g + 11. Let c = 7 + g. Suppose 5*r - 42 = -4*z, r - c = -3*r + 2*z. Solve 2*h = r*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -348\/5. Suppose -q + 3*w = -4 - 10, 2*q - w - 8 = 0. What is the nearest to q in 2\/7, -5, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*a - 7 - 13 = 0, -4*a = -2*l - 8. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3 - 3)*(-7*m + 2*m - m) - 2*m**2 + m**2 - 10*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -304 + 510. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-33) - (-31 + 35 - 22\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v - 7. Let y(q) = -15*q + 13. Let j(t) = -11*w(t) - 6*y(t). Let c be j(1). Let r be (16\/(-15) + c)*-3. What is the closest to 2\/3 in 1\/3, -3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 7*s + 23, -4*k + 111 - 113 = 2*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 139, 156, 183, 220, 267, 324, 391?\n\"Answer: 5*d**2 + 2*d + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**4 + p**2 - p - 2. Let w(h) = -20*h**4 + 12*h**3 - 28*h**2 + 12*h + 48. Let m(v) = w(v) + 24*y(v). Factor m(i).\nAnswer: 4*i*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 1. Let d be r(1). Let c(g) = -d*g + 7 - 10 - g - 4*g**2 - g**3. Let v be (-3)\/1 - 11\/11. Give c(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1752, 7426, 16874, 30090, 47068, 67802, 92286?\n\"Answer: -x**3 + 1893*x**2 + 2*x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*q + 4*q - 6, q = -4*w + 3. Suppose h - 3 - 3 = w. Let p be (-2)\/h*(-397 + -2). Round p to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*-14*(-105)\/12250?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(-2))\/(18\/45) is divided by 1 - (-2)\/(8\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/135)\/((12\/(-54))\/(-2))*(-153)\/(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-77)\/(-660) - 1\/5. Let u(q) be the second derivative of 1\/2*q**2 - 7*q + 1\/3*q**3 + k*q**5 + 0*q**4 + 0. What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107161 + 341?\nAnswer: 107522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126342182 + -62342182. Round i to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62325427631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65692.\nAnswer: 2, 11, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -29d8abf?\nAnswer: -29d8abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5891384*t**2 + 3 - 5891392*t**2 - 2 + 2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 + t - 1. Let r be d(-4). Suppose -154 = -5*s + r. Calculate the common denominator of 1\/(s*2\/54) and 25\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*b - 31. Suppose -b*q = -3*t - 3, -5*t + 19 - 7 = -q. Suppose 0 = -t*l + 7*l + 128. Is -33 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:59 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 198819 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38111?\nAnswer: 23, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/(-5))\/(104\/(-20) + 5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -24.2. Let w = y + -10. Which is the third smallest value? (a) -1\/7 (b) 4 (c) w (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-6)*(-17)\/(-68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 238 = 2*g - s, -464 = 4*g + s. Let w be g\/(-91) - (-2)\/(-7). Is -3\/25 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14070, -14074, -14050, -13992, -13894, -13750, -13554, -13300?\nAnswer: -12982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**3 - 18*a**2 - 500*a + 126.\nAnswer: 2*(a - 9)*(a + 7)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 285779852 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42913843, -85827685, -128741527?\nAnswer: -171655369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w - 3. What is m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = 7. What is the derivative of -18*s**2 - s**4 - 8*s**4 + 16 + t*s**2 wrt s?\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 28 + 133 = -2*r, 195 = -4*r + 5*m. Does 10 divide (81\/r)\/(3\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 1920700*o**2 - 53778424*o - 376446224.\nAnswer: -2*(o + 14)**2*(o + 960322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -4 (b) -3\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132039104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 + -16.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 593852 and 2380?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmmmjbb. Give prob of picking 1 j and 3 m.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let l(t) be the second derivative of -t**7\/840 - t**6\/144 + t**4\/12 - 3*t**2\/2 + 2*t. Let f(u) be the third derivative of l(u). What is h(f(q))?\nAnswer: 3*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 3*n + 3*n + (0*n - 2*n + 3*n)*(12 - 13 - 19 + (-3 - 1 + 3)*(-1 - 1 + 0)) to the form x + l*n and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose -6*c + c + 10 = 0. Factor 0*p**2 + f*p**c + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/18)\/(-64*1\/(-576))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-45))\/((-72)\/(-90)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(2552\/290)\/44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/((-12)\/80))\/2. Let c be 1*4 + 2 + -1. Suppose c*z - z = 4*k, 5*z = -q. Let h(n) = -n**2 - 3*n - 3. What is h(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52629 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 75447?\nAnswer: -75442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 46*l**2 + 224*l.\nAnswer: 2*l*(l - 16)*(l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2\/(-5) + 64\/60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:44 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19306705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Let w = x - 10. Sort 3, w, -0.1 in descending order.\nAnswer: 3, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**2\/4 + 12*x + 1.\nAnswer: -(x - 2)*(25*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -12976185 and -12976186 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3858*s - 78 = 3871*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 5. Let y be u(0). Let p = y - 1. Solve p*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -42.9999856. What is j rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from zaataazatzytykkkaa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 32103?\nAnswer: 32104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 67762140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16649 + -1236?\nAnswer: -17885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 17. Let v = p - -5. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) + 0))**2*-3.\nAnswer: -15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3. Let h(f) = -9*f**3 + 6*f**2 + 5*f - 17. What is 5*a(d) + h(d)?\nAnswer: -4*d**3 + 6*d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.037 - -23.963. Let t = h + -23.892. Round t to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1360.812 to the nearest integer.\nAnswer: -1361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02954 - 0.626.\nAnswer: -0.65554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.1 (c) 62 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95733350 to the power of 1\/2, to the nearest integer?\nAnswer: 9784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4653834954.\nAnswer: 2, 3, 389, 1993931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - 0 - -20 - -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 18*o**3 + 42 - 9*o**3 - o + 196 as l*o + u*o**2 + x*o**3 + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.344 + -0.905\nAnswer: -1.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3 - 72. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14474417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -37\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33177471 (base 8) in base 12?\nAnswer: -2485989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 129808.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 - 16*x**2 + 17*x - 7. Let h(f) = -2 + 4*f + f**3 + f**3 - 4*f**2 - 3*f**3. Let p(a) = 9*h(a) - 2*v(a). Determine p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665314 is divided by 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4645201.4318 - -0.8\nAnswer: -4645200.6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 35808351?\nAnswer: 35808353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15033679 and 7783?\nAnswer: 646448197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 23 = -3*m, -3*i = -844*m + 840*m - 25 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121030310 + 2201?\nAnswer: 121033111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -112031 (base 4) to base 16\nAnswer: -58d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -78\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/12 - s**3\/2 - s**2 - 25*s. Let n be y(4). Suppose 4*w + 17 = -5*b, -1 = 5*b - n*w - 2. Is b <= -2\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*v + 126 - 1382 = 0, 2*g = -5*v + 619. List the prime factors of g.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -3768?\nAnswer: -376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - ((-13 - (16 - 40)) + -27)) + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114984286 and -21.823.\nAnswer: 114984264.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 30 = 6*z, -7*z + 10*z - r - 16 = 0. Let v = 20 - 17. Suppose v*u + u = 12. Calculate the lowest common multiple of u and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166935280 divided by 6044\nAnswer: -27620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.086269*-26.\nAnswer: 2.242994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14 = -5*f, -2*f - o + 5 = -2*o. Let n = -96 - -189. What is the second derivative of -q**3 + q**f - n*q + 64*q - 4*q**4 wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57431 greater than or equal to 7293570\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1757\/87 or 20?\nAnswer: 1757\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1600 and 1725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1053\/7 + -151. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8256056264 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -7328.0887807.\nAnswer: -7336.0887807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*g*n**3 + 5*a**2*g - a**2*n**2 - 2*a*n**3 - 313*g*n**3 - n**2 wrt n?\nAnswer: 6*a**2*g - 12*a - 1878*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.71979647 to four dps.\nAnswer: -0.7198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/10 (b) 5 (c) 4\/15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 564129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172141174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 3, n: 1, g: 1, y: 1}. What is prob of sequence ny?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-924)\/264 - (-7)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -75. What is the tens digit of ((-8)\/(-2) - (-3)\/9)*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 3706\/102)\/(4\/(-54)) + 1 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -14, -0.2, 0.09?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) 0.2492 (b) -3 (c) -2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4565 and 19\/3.\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czez. Give prob of sequence zc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f + 41*f - 120*f + 37*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2493*f - 4988. Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 20*b**2 + 174*b - 3704. Give a(18).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**4 - 18*o**3 - 22*o**2 - 4*o + 2. Let d(y) = -y**3 - y**2. Let n(t) = 44*d(t) - 2*p(t). Let n(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:49 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16798007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 12494 = -43980. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 3*o + 9*t - 6*t, 2*t = -5*o + 493. Is o a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by 1176634.\nAnswer: 119\/1176634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, n: 2, t: 3, j: 2, z: 3}. Give prob of picking 1 j, 1 x, and 1 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4605*m + 9*m**3 - 179*m**4 - 171*m**4 - 10*m**3 + 4*m**3 wrt m.\nAnswer: -4200*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1241 + 716\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66437?\nAnswer: 7, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 44*a - 616. Give m(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1014240333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16174050 to the power of 1\/2, to the nearest integer?\nAnswer: 4022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015 and 235683.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -95. Suppose -a*m + 27 = 3. Calculate the remainder when 32 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:20 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 951*y**3 - 978*y**2 - 7596*y + 11448 = 0 for y.\nAnswer: -318, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 98 - 18. Suppose 0 = l - 5*l. Let a be 10 + -2 + (1 - l). Solve -4*i + a*i = 2*m + 25, 4*i + 2*m = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 - 386*s**2 - 5*s**3 + 4*s**3 - 9*s + 378*s**2. What is the remainder when 42 is divided by a(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {u: 7, l: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*i - 3690 + 9234 = -15025 - 6711 for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:48 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1219*h - h**3 - 51*h**4 - 1222*h - h**3 - 4 + (-6*h**3 + h**3 + 4*h**3)*(h + 0*h + h).\nAnswer: -53*h**4 - 2*h**3 - 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-42))\/((-3)\/9054). Let h = r + -215. Determine k so that -h - 10\/7*k**2 - 2*k = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.66 + -29. Let v = -1.3398448 - p. Round v to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:01 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 2*n**2 - 2*n**3 - 2*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 3*c**2 + c**2)*(48109 - 183*c**3 - 48109).\nAnswer: 549*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464, 447, 436, 437, 456, 499, 572?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -14 - 103. What is the tens digit of 65\/(-15) + 4 + 2181\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -22183\/8*f**3 - 24895\/8*f**2 - 1127*f**4 - 343\/2*f**5 - 2197\/8 - 12337\/8*f = 0.\nAnswer: -13\/7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 7. Let w be 28\/12 - o\/(-1). Let a = 0.82 - -0.18. What is the closest to -1 in a, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1362, 2398, 3484, 4626, 5830?\nAnswer: 7102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 3. Let h be i(0). Suppose -q + 8 = -h*q. Let d be 668\/44 - q\/(-22). Solve 0 = 3*w + 3*v - d, -3*w - 5 = -0*w - v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 25*j**2 - j + 60. Suppose -2*v - 404 = -2*q - 2*q, 4 = -2*v. Let h be (q\/(-6))\/(44\/(-66)). What is the units digit of f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.9 + -3.9. Let s = 30.18283 + 5.82407. Let c = s - z. What is c rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*q**5 + 32*q**5 - 13*q**5 - 40*q**3 + 192*q + 18*q**4 - 160 - 32*q**2 - 8*q**5.\nAnswer: -2*(q - 5)*(q - 2)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*u + 1213 - 1196, -2*u - 4*p = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030735729 rounded to five decimal places?\nAnswer: -0.03074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1427189126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuoroprouorrsur. What is prob of picking 1 r and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-20) - (-408)\/10 is divided by -6*(-25)\/(-10)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.94*6.\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-99))\/((-19659)\/13623687).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -214412.\nAnswer: -214416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 19 - 59 + 19 + 4611*b**2 - 932*b**2.\nAnswer: 3679*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + k**5 - k**4 + (-2*k**2 + 4*k**2 - k**2)*(2*k**3 - 4*k**2 + 4*k**2) + 3*k**5 - 5*k**5 + 3*k**5 - 1 + 3*k**5 + 7 - k**5.\nAnswer: 6*k**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16185 * 1.0384\nAnswer: 16806.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(11412\/(-756) - -15)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2 + 11*t - 4 + 3 - 13*t. Let w be a(-1). Suppose 5*p - 170 = -5*n, -w*n = -2*n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143529030 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h + 19. What is the remainder when (-192985)\/(-8907)*(-36)\/(-10) is divided by r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 3*i**2 + 7*i - 1. Is d(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - -82. Suppose 4*h = 5*u - s, 0 = -3*u + 4*u - h - 44. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47d8 + -176?\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.643072 millennia in months?\nAnswer: 79716.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-14))\/((-3300)\/(-3080)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25890.\nAnswer: 2, 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + j - 50 = 0, 17*a + j + 2*j - 70 = 21*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69414 and 913951.\nAnswer: 5483706","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155791, -155802, -155847, -155944, -156111, -156366, -156727?\nAnswer: -157212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -60*o - 58. Let l be h(-1). Let d be (-106)\/(-22) - 105\/21. Put d, 4, 2\/15, l in descending order.\nAnswer: 4, l, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -5, 15, 53, 115, 207?\n\"Answer: s**3 + s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.619 - -1.391. Let c = y - 9. Let k = -0.010079 + c. Round k to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 l when four letters picked without replacement from {l: 7, p: 4, k: 2, s: 2, y: 2, c: 2}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 122120002 (base 3) to base 13\nAnswer: 5a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 2356*f\/15 - 24560\/3.\nAnswer: 2*(f - 1228)*(f + 50)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:52 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:06 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.89 take away -1?\nAnswer: 72.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 12. Let d(f) = f**2 - 12*f - 89. Give g(d(j)).\nAnswer: -2*j**2 + 24*j + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -2.78. Let p = 2.7 + u. What is the closest to p in -5, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/7 - (0 - 2)) + -5. What is the third biggest value in -5, s, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-224))\/(-44*7\/(-588))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3 - 32\/9*y**2 + 2\/9*y**3 + 26\/9*y.\nAnswer: 2*(y - 15)*(y - 2)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -24787*s + 24814*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 47*u - 47*u - 3*u**2. Let b(o) be the second derivative of 5*o**4\/12 - 202*o. Determine b(c(p)).\nAnswer: 45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 25*g + 18 + 3*g**3 - 5*g**3 + 9 in the form j + r*g + v*g**2 + o*g**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:51 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0115722694 to 4 dps.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -71*a**5\/60 + a**4\/24 + 121*a**2 + 2*a - 13. Let f(x) = -8 + 2*x**2 + 8. Determine l(f(k)).\nAnswer: -284*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 98*u + 38 + 11 + 21 + 8*u**2. Let i(k) = 52*k**2 + 636*k + 456. Let p(o) = 5*i(o) - 32*r(o). Factor p(w).\nAnswer: 4*(w + 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, x: 2}. What is prob of picking 4 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-50))\/((-27)\/(-15) - 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -60 - 26) + 10 + 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*v - 2, 4*z = 34*v - 36*v + 12. Let g(f) = 14*f**3 - 14*f**2 + 3*f - 26. Let y(l) = 5*l**3 - 5*l**2 + l - 9. Determine v*g(k) + 11*y(k).\nAnswer: -k**3 + k**2 - k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5444*m**4 - 3*m**3 - 27*m**2 - m - 8320?\nAnswer: -130656*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2068042 + -1095075. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 50. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 + 3*j + 2. Calculate x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 2*d**3 + (-6 + 1 - 5)*(4*d**2 - 2*d**2 - d**2)*(2 - 2 - 4*d).\nAnswer: 38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23364038 a multiple of 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - (-3)\/9. Let a(g) = l + 0 + 4*g**2. Let y(z) = -z + 4. Let p(n) = -n + 2. Let w(m) = -4*p(m) + 2*y(m). Calculate a(w(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 + 17070536*u - 17070536*u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 5*g + 10. Let m be y(2). Find the common denominator of 68\/9 and (374\/(-30) - m\/(-40))\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4405 + 0.0705. Let y = -6.369313 - s. Round y to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 d, and 1 c when four letters picked without replacement from {k: 7, e: 1, d: 2, c: 4, b: 4}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - y**3 - 5*y**2 + 2*y**2. Let s be n(0). Factor 2\/3*k + 2\/3*k**2 + s.\nAnswer: 2*k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = 80*w + 15*w - 864 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + (-45)\/324. Let h = m + -23\/18. What is the closest to 1 in h, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/15)\/(-2))\/(2\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 24\/(-6)*(0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479096472 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*r + 74 = 195*r + 5*u - 9*u, 192 = -2*r - 16*r - 6*u for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -5)\/(-2) + 8. Let b be -3 - (3\/3)\/1. Let l = b + u. Solve h - l*h + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4531\/1344 + 11\/192. Let q = b + -117\/28. What is the second biggest value in -2, 4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4475, -8739, -13011, -17291, -21579?\n\"Answer: -4*o**2 - 4252*o - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 4*s + 40, 153157*u - 2*s + 8 = 153153*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-345)*(-330)\/(-132).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:06 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84 or 76?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76885831 + -76886035.999642. Let u = -205 - t. Round u to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o\/(o**(-4)\/o)*(o\/o**(-2\/5)*o)**(-33))**(3\/17) assuming o is positive.\nAnswer: o**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18)*r)\/r)\/r**6*(r**(5\/3))**(8\/5) assuming r is positive.\nAnswer: r**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3)*10*(-378)\/(-360).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, v: 3, j: 1, k: 6}. What is prob of picking 1 j and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14629.3 + 14629. What is the third smallest value in 1\/10, -2, s, -79?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -882 and 25676.\nAnswer: -22646232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (147104\/26)\/((-106)\/(-689))?\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 162*o**5\/35 - 9*o**4\/28 - 4*o**3\/3 - 2*o**2\/7 + 85. Factor b(l).\nAnswer: l*(2*l - 1)*(9*l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 20 = 0, 10 = -2*y + 5*y - r. Suppose 6 - 2 = y*h. Let i(f) = -23 - 13*f + 7 + 10 - 6*f**2. Let n(v) = -2*v**2 - 4*v - 2. Give h*i(u) - 7*n(u).\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56881 is divided by 3785?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -0.1957 (c) -5261\/5 (d) 1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 6. Let i be o(11). What is the second derivative of 2*b**4 + i*b - 16*b + 5*b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**2 + 4*z**2 - 6*z**2)*(24 - 13 + 14*z - 12)*(2 + z - 2).\nAnswer: -182*z**4 + 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 1, o: 7, i: 6, t: 2}. Give prob of picking 1 o and 2 t.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 34 - (612 - 594)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from jyjwx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/20 + 323\/170. Solve 4*g + 2*d = -10, -4*g - f = -g - 4*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:23 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 2*sqrt(108) + 2)**2 - sqrt(18)\/sqrt(6)*6*5.\nAnswer: 66*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -212 (b) -4747 (c) -1 (d) 2\/5 (e) -5 (f) 1 (g) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 46*n**2 + 150*n - 142. Let o be a(49). Solve 5 = 4*y + 5*i, o*i + 18 = -i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 27.658.\nAnswer: -138.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 5}. What is prob of sequence yyyj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*1\/(-4))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.2 times -30988?\nAnswer: -842873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17091637127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11206 and 658568.\nAnswer: 8561384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13851\/12236 - (-2)\/(-8). Let j = p - -6\/23. Let -2\/7*h**2 - 8\/7*h - j = 0. Calculate h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 - b + 1. Let p be n(0). Let g = -11 - -11. Does p = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 0.015476946.\nAnswer: 30.015476946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17764100 is divided by 685?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*x + 302 - 302 + (0 + x + 0)*(85 - 30 - 39).\nAnswer: 82*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, 39\/2 in decreasing order.\nAnswer: 39\/2, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 97170696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18599 + -4389461\/236. Calculate the common denominator of 31\/50 and w.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 12\/(-8)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-524468)\/1574124 + 1\/3. Let h = c - 11893556536\/1967655. Let j = -6041 - h. Find the common denominator of j and 17\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243938479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 44*c**2 - 671*c - 53. Determine b(56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 1824*x**2 + 1820*x = 0 for x.\nAnswer: 0, 1, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392 + -390. Let n(q) = u*q + 3*q - 85 + 91. Give n(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -7. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.6584l in millilitres?\nAnswer: 717658.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 44 = -152. Solve -3 = 17*c - k*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*j + 6*b + 12, 13 = -3*j + 2*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + f - 4*q + 92, q = 3. Let r(g) = g + 8. Let y be r(-4). Suppose -4*t + t = -4*h + 32, y*t + f = 2*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*q = -8, -b - 1 = -5*q - 3. Suppose 0 = 2*v - 22 + 18. Is b less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101222221 + -1?\nAnswer: 10101222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -1583, -2378, -3175?\nAnswer: -3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/6)\/(((-54)\/(-2))\/3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 36 = 3*q + 6, -v = -2*q - 38. Suppose -3*l + 1 = 4, -4*l = -2*t + v. What is the third derivative of 612*s - 612*s - 4*s**3 - t*s**2 + 0*s**3 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n**2)*(2 + 2*n**2 - 2) + (17 + 2*n**4 - 17)*(4 - 3 + 0).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1070204 + 0.107. What is a rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10)*350\/(-105)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8210 + 275. List the prime factors of f.\nAnswer: 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*t**4 + 13*t**3 + 3173*t**2?\nAnswer: 768*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 13, 104, 283, 580?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**3 + 7*u**2 - 4*u + 1. Let s(z) = 8*z**3 - 8*z**2 + 3*z - 1. What is -6*i(r) - 7*s(r)?\nAnswer: -2*r**3 + 14*r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 18006 = -1086*w + 89474 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1\/130 (c) 1\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672755 and 6147?\nAnswer: 6054795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-1)*o)\/o))**(-2\/59)\/(o**(-2)\/o**(2\/7)))\/((o*o**1)**(-43))**(-2\/35) assuming o is positive.\nAnswer: o**(-5568\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29913.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 4691 and 4691 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28413?\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -79 - (13 - (33 - (19 - 21)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 2\/7, 0.4, -111.7, 0.1, 1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8394*d + 7844*d - 17049*d.\nAnswer: -811*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:13 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110011110100 + -10000?\nAnswer: 1001110011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/(13 + -8)*5\/(-17 - -7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39622*z + 36449 wrt z.\nAnswer: 39622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3248)\/(-2842) + (-124)\/(-14) - (-360)\/(-28)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -473055615*g**3 - 147271741?\nAnswer: -1419166845*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 4*w + 32 = 2*o, -3*o - 24 = 5*w - 8*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((28\/(-280))\/((-5)\/50)))\/(5\/42)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -222020?\nAnswer: -222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 77*l + 174 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 11232 + 11239 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 15*z - 12. Let y be r(-14). Suppose -27 = -m + 3*c - 1, 0 = -m + y*c + 30. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107039\/9359550 + -27\/2311. Let x = z - 170909\/4050. Let n = -42 - x. What is the smallest value in 2, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2988 + -41. Let f = 591 - 586. Suppose f*y + 1403 = -o. Round y to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-16) + (-714)\/(-51))\/(7\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 2023*p**6\/120 - 89*p**5\/6 - 20*p**2 + 5*p. What is the third derivative of j(u) wrt u?\nAnswer: 12138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1857847 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24640\/(-1155) - 4\/(-3)) + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1477 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/20)\/(9*111\/91908)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 801 + -733 - (97 + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-96))\/((-56)\/(34496\/330))?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 15. Suppose 0 = i*u - 4*r - 22, -u = -r - r - 10. Suppose -5*f - u + 6 = 3*v, 0 = 4*v + 4*f - 8. Solve -5 = v*j - 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypy when four letters picked without replacement from ypppyyppypyyppyyyppp.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*r - 206 = -2*r - 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -24, -20, -4 in ascending order.\nAnswer: -24, -20, -4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569154*n + 15 = -569157*n, -4*h + 20 = 4*n for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2380 and -239\/4620.\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756945 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 27 = 12*x. Put x, -7, -2, 4 in increasing order.\nAnswer: -7, x, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 12 (b) -125 (c) 0.4 (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2340\/(-1053))\/(14\/(-756)*-5)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -25\/232568?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 l when three letters picked without replacement from {l: 2, p: 5, q: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 3 - -2) + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -40.1. Let t = 56.5 - r. What is the fourth smallest value in 3, -5.7, 3\/2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220\/721 + -2\/103. Which is the second smallest value? (a) 1\/9 (b) y (c) -1\/42 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-133)\/8*-2*4. Suppose -5*l + 911 = 211. Suppose -7*y + t = -l. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -34, -50, -66, -82?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 11 = -13. Suppose 3*n + 15 = 0, -3*i - 3*n = -0*n + m. Factor -1\/2 + 5\/4*r + 3\/4*r**i - 5\/4*r**3 - 1\/4*r**2.\nAnswer: (r - 1)**2*(r + 1)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -6 - -9) + 3 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(156) + sqrt(156)*1))\/(sqrt(108) + 2*sqrt(108)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 391.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556*p + 503*p - 1059*p + 292 + 570*p**3 + p**2 wrt p?\nAnswer: 1710*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 101. Let z = 52 + v. Let k = -17 + z. Sort k, -1, -0.06 in decreasing order.\nAnswer: -0.06, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:18 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -909699 - -9085171\/10. Let c = -1182 - p. Let h be (-3)\/(0 - (-21)\/(-2)). Put 2, h, 4, c in increasing order.\nAnswer: c, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -633, -1461, -2289?\n\"Answer: -828*w + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 1464*p - 5824.\nAnswer: -2*(p + 4)*(p + 728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-22) - (-8318177)\/913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 136585*n**3 - 3138810*n**2.\nAnswer: -5*n**2*(n - 27294)*(n - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143\/76 - 11\/228. Let w(q) be the second derivative of 2*q + 1\/30*q**6 + 0*q**5 + 0 + 0*q**2 - a*q**3 + 0*q**4. Find the second derivative of w(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/36)\/(2\/(-18)). Calculate the common denominator of 49\/4 and (a\/(-15))\/((-42)\/438).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-252))\/((-220)\/(-120))*14?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 + 6*i**3 + 3 - i**3 wrt i?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 6611*r + 279782. Determine l(-985).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeefllezlc. Give prob of picking 2 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 113.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwqbxbxkwqbwwwwxq. Give prob of sequence bb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93663571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2608273 (base 9) to base 5.\nAnswer: 331020421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o - 4*o + 0*o + (-6*o - o - 9*o)*(3 + 2 - 3) - 3*o + 3*o + 2*o + o - 2*o - o to u*o + w and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/48 + -2 - 6\/2 and 1*(0 - (-7)\/(-8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(1\/1))\/1. Let r be (10 - i\/((-10)\/(-4)))*-5. Let q = -41 - r. What is the remainder when 40 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185 - 215 - 157*a + 392 to the form w + r*a and give r.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 - 17 = 0. Suppose 0 = 2*g + y*m - 18, g + m = 2*m + 9. Suppose 0 = 4*q, -4*o - 2*q + 252 = -q. What is the greatest common divisor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5\/4 - 1290*l**4 - 1295*l**3 + 7735*l**2\/2 + 25815*l\/4 + 5165\/2 = 0. What is l?\nAnswer: -1, 2, 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-88))\/((-2)\/(-44)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 1101100100111111010?\nAnswer: 1101100101000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 - (-1 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 602 - 98 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166728?\nAnswer: 2, 3, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30563 - 2.\nAnswer: -30565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 70 - 398 = 0. Let d = 35 - 22. What is the highest common divisor of a and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 90. Let n = -3 + 8. What is the closest to 0.1 in -0.4, b, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2030 - -9.\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4029166 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/(-14) - (-4008)\/(-8016)*178\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245754253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x + 15 = 0. Let t = 72 + -124. Let b = -9 - t. Calculate the remainder when b is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*l - 4*y, -194337*y = -194334*y + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(4*sqrt(196) - sqrt(4) - sqrt(4)) - (-1 + -4*sqrt(300)).\nAnswer: 1 + 1041*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-8)*(-9)\/3*(-4)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 876, 3461, 7750, 13749, 21464, 30901, 42066, 54965?\n\"Answer: n**3 + 846*n**2 + 40*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -496, -501, -508, -517, -528?\n\"Answer: -w**2 - 2*w - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 k, and 1 w when four letters picked without replacement from zoqwzkkzzqok?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -722 divided by 5.\nAnswer: -722\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -628 + 529 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(4800) + -1 + sqrt(4800) + 5 - (sqrt(4800) + sqrt(4800)*-1 + -4) - ((sqrt(4800) + 2)*1 + 3 + -1 + sqrt(4800)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -92b33?\nAnswer: 92b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 13. Let f(c) = c + 6. Let y(v) = -6*d(v) - 13*f(v). Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.12 (b) -50 (c) 3\/5 (d) 0.2 (e) -1\/9 (f) 0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(4\/(3 + -5)). Suppose -4*s = -5*i - 28, 0 = 3*s - t*s - 2*i - 14. What is the remainder when 11 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.764*-0.67\nAnswer: 0.51188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 5*h**4 + h - 3*h**4 + (0*h**2 + h**3 + 0*h**2)*(-10*h - 79*h + 12*h).\nAnswer: -78*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -18. Let d(h) = 8*h - 12. Let n be d(6). What is the greatest common divisor of n and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207677*o - 207677*o - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 130*k - 4149. Let c be d(27). Calculate the highest common factor of c and 20070.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201226600 + -4?\nAnswer: -201226604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6535, -6507, -6451, -6349, -6183, -5935?\n\"Answer: 3*q**3 - 4*q**2 + 19*q - 6553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 - (3 + -2 + 3) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -2\/1685?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*d - 5964 = -12621 - 12655 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29563, -59159, -88791, -118459, -148163?\n\"Answer: -18*z**2 - 29542*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -3*m**8\/56 - m**4\/6 - 2*m - 3. Let j(d) be the first derivative of n(d). What is the third derivative of j(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3015, -2965, -2857, -2673, -2395, -2005, -1485?\n\"Answer: 3*r**3 + 11*r**2 - 4*r - 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1691.4 + 1691. What is the closest to -0.2 in f, 5, 1, 13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 15551?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -65*h**2\/2 + h - 4. Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2\/13, 19.\nAnswer: -3, 2\/13, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (18\/(-27) - 19\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-204)*24)\/((12\/6)\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 431426.9ml in litres?\nAnswer: 431.4269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -28 + 8. Let n = 12 - 4. Suppose -4*f - n + 24 = 0, 0 = r + f - 5. Calculate the smallest common multiple of s and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:15 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47414*c**3*l + 400*c**3 - 1496*c*l + 8120*l wrt c.\nAnswer: -284484*c*l + 2400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1525432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) 30\/11 (c) -0.4 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -44531 (base 7) to base 12\nAnswer: -660b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(2205) + -1 - (sqrt(2205) + (sqrt(2205)*-1 - sqrt(2205))*2)) + -5)**2.\nAnswer: -168*sqrt(5) + 35281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 5. Let k be y(-5). Suppose 2*j - 2*s - 2*s = -2, 5*j + 75 = -4*s. Let o = j - k. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 22. Solve 4*b + o = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**3 + 2*u. Let j(c) be the third derivative of c**6\/8 + c**4\/8 - 4*c**2. Let x(p) = 6*j(p) - 7*r(p). Find the second derivative of x(v) wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1627 - -1623) + -1 + -32.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {q: 14, t: 5, r: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1285 (c) 4749 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 12. Let v be k(0). Let i(g) = 14*g - 17. Let u be i(v). Which is greater: u or 150?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -902 * -0.13\nAnswer: 117.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 12 + 5 + 3 - 16*d in the form a*d + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120436268*o**2 - 90434847 wrt o.\nAnswer: 240872536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*9)\/(8 - 7). Let d(u) = u**3 - 8*u**2 - 9*u + 3. Let h be d(n). What is c in -9*c**4 - 3*c**3 - 4*c**5 - c**2 + 0*c**3 - 3*c**h = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1 - 2) + (-6)\/(-39). Which is the second biggest value? (a) 0 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/35)\/((3 - -2)\/(-25)). Let h be 60\/14 - 2\/7. Suppose h*d = d + 33. What is the highest common divisor of d and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*b + 5816, 5806 = -11*l + 16*l - 2*b. Let j = l - 1670. Which is bigger: -507 or j?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - i + 3*i)*(-i**2 + 2*i**2 - 3*i**2) + (5*i**2 + i - i)*(3*i + 2*i - 4*i + (-1 + 1 - 4*i)*(-1 - 2 + 0)).\nAnswer: 71*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1085282, 2170586, 3255890, 4341194, 5426498, 6511802?\n\"Answer: 1085304*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 305, 604, 899, 1190, 1477, 1760?\n\"Answer: -2*p**2 + 305*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 6*t**2 - t - 3. Let x be f(-6). Suppose -x = -2*r - r. Which is the nearest to r? (a) -1\/2 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f*f*f**4*f)\/f))\/f*f*f\/(f\/(((f*f**(-6)*f)\/f)\/f)))\/(f*f**1)**(13\/3))**38 assuming f is positive.\nAnswer: f**(-2356\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 575*j**3 - j**2 - 4*j - 1. Calculate x(-1).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/5055 and 17\/96045.\nAnswer: 96045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*c**4*z - 2*c**3 - 2*c**2*z + 6*c**2 - z wrt c.\nAnswer: -1152*c*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -27*q + 23*q + 5*q + 21*q. Determine g(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110.47 - 110. Let p = 0.03 + a. Sort 1\/3, p, -5.\nAnswer: -5, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*o = -1097*o - 13600 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (23\/((-184)\/10))\/((-2)\/32). Solve -g = -4*c - 44 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*w - 16, -4*w = 3*u + 2 + 14. Suppose u = 2*l - 3 - 1. Is (132\/8)\/(1\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 165 = -45. Let g(l) = -l + 11*l**2 + 8*l - 14 + 10*l - l**3 - l. Is 18 a factor of g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8401 + 8400 - (1 - (1 - 32)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 134442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o - 3)*(-5*o**2 + o**2 - 9*o**2) - o**3 + 3*o**3 - o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1753 + 35061\/20. Let z(c) be the third derivative of 0*c + 7\/4*c**4 + k*c**5 + 27*c**2 + 0 + 49\/2*c**3. Factor z(d).\nAnswer: 3*(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8 + (-420)\/80 + 1077 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091677227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 - ((-47 - -25) + 28 + 1 + -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d + 15. Let z(t) = -7 + 5 + 4. Calculate 2*q(g) - 14*z(g).\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b0a30 (base 14) in base 3?\nAnswer: 210120102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5416 and -40769?\nAnswer: 220804904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggrgikggggrgrgarg. What is prob of sequence ki?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y**(5\/3))))\/(y*y**6*y)*y**(-1)*(y\/(y\/(y\/(y*y*y**(1\/9)*y))))\/y)\/(y\/y**(-2\/7)*y**(5\/4)*y*(y*y**0*y)\/(y\/y**6)) assuming y is positive.\nAnswer: y**(-4783\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7636800 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2412 and 25\/35214?\nAnswer: 14156028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 52. What is the second derivative of -21*r**4 + 12*r**4 - m*r**5 - 2*r + 9*r**4 wrt r?\nAnswer: -320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*o - 18, 5*o + 15*g = 14*g + 19. Let j be (-2)\/(-4) + 5\/2. What is the second derivative of 135 - 135 + s**3 - 5*s + o*s**j wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73656810 divided by 2728030.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15 + 3101*x**2 - 2 + 12*x - 3100*x**2. Give h(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12086241.\nAnswer: 3, 4028747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/4512 and 67\/400.\nAnswer: 112800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 17. Let l be (1 + n)\/(21\/14). Let y = 1.17 + -0.17. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 2*y**2 + y - 2 - 3 + 1. Let r be m(2). Suppose -r*k + 29 = -15. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8717 is divided by 484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 48. Suppose -4*o + k = -3*o. Let w = o + -12. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 6\/7, 2 in descending order.\nAnswer: 90, 2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(((-8)\/(-18))\/(1466\/6597))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - 4\/(-14). Suppose f = -z - 0 + 2, -2*h + 3*z = -40. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*i + 3838*i**2 - 991*i**2 + 145*i.\nAnswer: 2847*i**2 - 142*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 + 224*b**3 + 6096*b**2 - 896*b - 24320 = 0.\nAnswer: -20, -2, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvmmmzvvzovzzvm. What is prob of picking 1 m, 1 o, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.451 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 27887*x + 55789. Determine y(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30\/947 + -2691\/4735. What is the fourth biggest value in -10, -1\/7, l, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 41. Let j be s(9). Let g(w) = 45*w - 104. What is the tens digit of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 + -96. What is the highest common divisor of 90 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i - 46. Let o be g(32). Find the third derivative of -4*k + 5*k**2 - 257*k**3 + o*k**3 - 251*k**3 + 6*k wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 7*a + 10. Let m be 9*(2 - 24\/9). Let y be i(m). Suppose 5 = y*b - 7. Solve -29 = b*r - 5*d - 0*d, 0 = -r - 2*d + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h + 10 - 7 + 15. Is u(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18995408532 from -3848.\nAnswer: -18995412380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:25 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 4)*(-43)\/(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(973\/1112)*98\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 7081064.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/3)\/a*a)\/a*a)**(-2\/51)*a**(2\/11)*a**(-7))**(1\/18) assuming a is positive.\nAnswer: a**(-11431\/30294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43 and -1.6.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/5 (b) -7\/5 (c) 3 (d) 73 (e) -4917\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 360 - 112. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102113 divided by 122457?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -2*w - 5*z, 0 = -3*w - 5*z + 16. Suppose 3*i + w = 58. Let b = 42 + i. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**8\/h)\/(h*h**(-1\/3)\/h*h)*(h**(1\/4))**(-4\/5) assuming h is positive.\nAnswer: h**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 80. Calculate the common denominator of (-2124)\/280 - o\/(-5) and 89\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37337165.\nAnswer: 5, 23, 149, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/11)\/(o*o**(-4\/3)*o))\/((o\/o**(-2\/25))\/((o\/(o*o**(-2\/3)))\/o)))**(-45) assuming o is positive.\nAnswer: o**(6048\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7469*n - 14723 wrt n?\nAnswer: -7469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/36)\/((13 - 17)\/(-4))*-1\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199 and 849929?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120000020 (base 3) to base 7.\nAnswer: 43620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpe when three letters picked without replacement from eksekpkksksp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42332\/483 + -2110\/23. Let g = 26853\/7826 + -3\/1118. Let l = g + i. Which is the third biggest value? (a) l (b) 2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 128 = -h + 5*h, 3*y = 4*h - 120. Calculate the greatest common divisor of h and 4434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64901866 divided by 5\nAnswer: -64901866\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b**3 - 3*b**2 + 41*b + 9044. Let t(d) = 18*d**3 + 2*d**2 - 32*d - 9045. Let l(k) = -2*f(k) - 3*t(k). Differentiate l(r) with respect to r.\nAnswer: -60*r**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 532*b + 539*b - 1.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 2)*(3 - 3 - b)*(164 + 8 + 113)*(-2 - 4 + 5) to g + u*b and give u.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 12*n - 31*n)*(4 - 2 - 3)*(4 - 1 - 1).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -17*j**4\/4 - j**3 - j**2\/2 - j + 20. What are the prime factors of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 49. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 132?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/5 + 16168*r**2\/5 + 22604*r + 32280.\nAnswer: 4*(r + 2)*(r + 5)*(r + 4035)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7014 = -4*j - 2*l + 21496, 3*l = -j + 7140. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3740 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(275) - (sqrt(275) - (4 + (sqrt(275) - -1*sqrt(275))))) + sqrt(275) + -5 + sqrt(275) + 0))**2*6.\nAnswer: -8640*sqrt(11) + 950616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 + -0.01. Let l = -1 + m. Which is the second biggest value? (a) 0.3 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10483 + -10487. Is 358 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5034975 hours in microseconds?\nAnswer: 1812591000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 1080 = 2*c. Let d = -91 - c. Let m be (d - 2)*1 + 5. Let h(x) = 5*x**3 + 2*x - 2. Let v(o) = 21*o**3 + 9*o - 9. What is m*v(y) - 9*h(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 1. Let q be c(-6). Suppose 16*g - q*g - 50 = 0. Let h be 852\/(-355) - (-724)\/10. Calculate the greatest common factor of g and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005561 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5316, 5296, 5276?\n\"Answer: -20*a + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7*t - 98 = -109, -3*g - 4*t + 133 = 0. Solve -9 = -3*j + 3*m, 43*j - g*j = -5*m - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7260488, 7260518, 7260548, 7260578?\nAnswer: 7260608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -5, 20, -31, 106 in decreasing order.\nAnswer: 106, 20, 5, -5, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 9*u + 11. Let m be t(9). Let r = 11 - m. Which is the third biggest value? (a) 0.5 (b) -1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 265439.8l?\nAnswer: 265439800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1136 - 3037*u**2 + 1138 + 868*u**2 - 2748*u**5 wrt u?\nAnswer: -164880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 4979b?\nAnswer: -49751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*((sqrt(13) - (-1 + sqrt(13))) + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 350 = 658. What is the least common multiple of t and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1774 + -1157. Let d = 624 - c. Solve -d = z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21581 - -38329. Suppose -17*n = -6083 - p. List the prime factors of n.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from {t: 3, b: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -160, 3 in increasing order.\nAnswer: -160, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:49 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvhvvvkhv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -662162 to the nearest one thousand.\nAnswer: -662000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791869247?\nAnswer: 13, 977, 62347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381983 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09453899 + -10.65145501. Let h = r - -7.74603. Let t = -3 - h. Round t to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1818 + 3709\/2. Let t(w) = -w**2 - 8*w + 2. Let m be t(-8). What is the common denominator of s and m\/(-2)*36\/(-22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1*(-2 + 1). Let f be p + 0 + 0 + 3. Let h(x) = x - 3 - 2 + f - 3*x. Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 32.1, -5, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -45849\nAnswer: 20\/45849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/7, -213915, 4, -4 in ascending order.\nAnswer: -213915, -4, -1\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10. Let r = 4 - 4. What is the remainder when 37 is divided by q(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 61*p = -6. Suppose -u + 14 = 3*k, -6*k + 22 = 2*u - p*k. Calculate the smallest common multiple of u and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 22*i - 7. List the prime factors of z(21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*i - 3, -4*i - i + 9 = -2*u. Suppose -3*k + 3*w + 144 = -9, -5*k + 231 = u*w. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4949 + -4991.17. What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2505 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90973795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48243, -94468, -140693, -186918, -233143?\n\"Answer: -46225*i - 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 - 151. Let u(n) = 8*n**2 + 4*n - 5. Let b(w) = -17*w**2 - 9*w + 11. Calculate s*u(f) - 4*b(f).\nAnswer: -4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 8. Suppose 0 = -g + 6*g - 10. Let a(m) = -m. Let x(n) = -3*n + 3. Let o(s) = g*a(s) - x(s). Let i be o(10). Give l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/8 + -5\/8. Let w = 0.2442 + 4.7558. Which is the closest to 1\/2? (a) w (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75))**2 + -2)*1 + (sqrt(18) - sqrt(288))\/sqrt(6) + -3*sqrt(3)*-2.\nAnswer: 13*sqrt(3) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b - 1. Give d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2768?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -198, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 times 10.1\nAnswer: -3.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*g - 15. Suppose 4*b - 3*t = 247, 5*b + 0*b = g*t + 300. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211030 (base 7) in base 3?\nAnswer: 1211220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 683*k**2 + k - 685*k**2 + 0 - 2*k**3 to z*k**2 + i + w*k + h*k**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2646.88kg?\nAnswer: 2646880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 10*f**4 - 9*f**3 - 11*f**2 + 9*f + 1 = 0.\nAnswer: -1, -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -139*q**2 - 2*q. Let l(y) = -820*y - 5*y**2 + 4*y**2 + 820*y. Determine g(l(r)).\nAnswer: -139*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.34 and 2.8035.\nAnswer: 9.36369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188 + 188 - 32*n - 12*n**4 - 107*n**4 wrt n.\nAnswer: -1428*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-1 - 1*4). Let g = -1.98 - -2. Let d = -3369\/8 - -421. Which is the nearest to g? (a) d (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 531*v + 638. Let b(a) = 537*a + 639. Let h(t) = -6*b(t) + 5*x(t). Differentiate h(k) with respect to k.\nAnswer: -567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/40, -2, -7, 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75703091 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 91379 and 91301 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -510, -502, -494, -486?\n\"Answer: 8*d - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236133 is divided by 149.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -174\/119?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1132430209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let n(d) = -38 - 27*d + 54*d + 40. Determine r(n(t)).\nAnswer: 27*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let f(o) = -5*o**2 - 335*o + 1. Calculate j(f(g)).\nAnswer: 10*g**2 + 670*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 6*b + 2. Let r(o) = -6*o**2 + 17*o - 4. Let m(c) = 14*p(c) + 4*r(c). Determine l, given that m(l) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181794 and 1242259.\nAnswer: 7453554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23. Suppose p*i + 39 = 4*j + 5*i, 0 = 5*j - i - 27. Let l = 44 - j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1615, 6472, 14569, 25906?\n\"Answer: 1620*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytntqfz. Give prob of sequence fq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + w**3 + 5 - 2 - 2*w**3 - 4*w**2 + 0. Let f be a(-6). Suppose -18 = -3*p - v, -5*p - 3*v + 37 = v. What is the greatest common factor of f and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21777)\/12444)\/((-3)\/108).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -79, -107, -117, -103, -59, 21?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*25*(-6)\/(-90). Is (-12234)\/u + (-2)\/(-90)*9 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 -67\/989235 and -119\/219830?\nAnswer: 1978470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*k + 82*k - 53*k - 44 - 87*k**3 wrt k?\nAnswer: -261*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8065797.84 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*z + 4*r = -387*z - 38, r = -5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -25. Let m be 0 + (y - 2) + 0. Let d be 16\/4*(-2)\/m. Let a(g) = -g**3 - g**2 + 2*g - 1. Determine a(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2464000 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 11. Let p(i) be the second derivative of 2*i + 0*i**5 + 1\/3*i**3 + 2\/15*i**g + 0 - 1\/3*i**4 + 0*i**2 - 1\/21*i**7. Factor p(s).\nAnswer: -2*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 69*w + 49. Let o(d) = -2*d - 2. Let y(n) = -i(n) - 6*o(n). What is the hundreds digit of y(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11056013 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*i**2\/2 + 716623*i\/2 - 1625 = 0 for i.\nAnswer: -1625, 2\/441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304000 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 502 = 2*g, 12*g - 7*g = 5*j - 845. Let a = -51 + 72. What is the greatest common factor of a and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25770847, 25770849, 25770851, 25770853, 25770855?\n\"Answer: 2*n + 25770845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55\/36 - -26\/9. Let s = z - 11\/3. What is the second smallest value in -3, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -6)\/(92\/(-4002)*3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 70040.69 grams?\nAnswer: 0.07004069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/4647 (b) -2 (c) 2\/13 (d) -0.5 (e) 0.3 (f) 0.4 (g) -0.065\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 39*p**2 - 2 + 24.\nAnswer: -39*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.0081 (b) -4\/5 (c) -0.2 (d) 4 (e) -2\/13 (f) -0.034 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*w + x, 21*x = 24*x + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.7659 + 0.6541. Let c = 120 - 66. Let b = c - r. Round b to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 4*h + h**2 + (h**2 - h**2 - 3*h**2)*((1 - 4 + 1)*(0 + 0 - 1) + 0 + 0 + 1).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d - 4*v - 31, -2*d - 2 = -v. Let c be (1 + 2)*(-4)\/d. Suppose c*g - 65 = -g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 328*f + 372*f + 43 = 0, -399*o - f = -402*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let o(m) = 2 + 2 + 1 + m. Let z = 21 + -26. Let r(u) = z*d(u) - o(u). Let c(w) = 5*w. Calculate r(c(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -21*n + 3. Let q be (-80)\/(-35) - ((-27)\/(-21) - 1). Let z be u(q). Let t = z + 49. Calculate the remainder when t is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114600737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3480 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let o(c) = -20*c + 8. Let v(h) = o(h) + 6*t(h). Let w be v(-4). Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113774 + -47593. What is the ten thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121920 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:57 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12416146 - 5?\nAnswer: -12416154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -34. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, 0, 4, -0.1, 3, 1, 2\/1023?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 + 758*c**3 + 756*c**2 = 0.\nAnswer: -378, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -0.5 (c) -5 (d) -3 (e) 0.03 (f) 2\/287143\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 2, -2 in ascending order.\nAnswer: -10, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 804\/(-1881) - (-10)\/55. Let k = -964\/57 - j. Suppose 106 = 5*r - 19. Find the common denominator of k and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and (-35 - 1)*(-7 + (7 - 1)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:37 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 + 18*f + 17. Let l(a) = a**2 - 6*a - 6. Calculate -11*l(q) - 4*x(q).\nAnswer: q**2 - 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*g + 56. Let d be (g\/((-48)\/9))\/(6\/8). Suppose 2*m + c + 3*c = 34, d*m = 4*c + 74. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 0*s + 2*s)*(-s - 3 + 3) - s**2 + 4*s**2 - 5*s**2 + (-2837 + 627 - 504)*(-2*s**2 + s**2 + 0*s - 3*s))*(2*s - 4*s + 3*s).\nAnswer: 2711*s**3 + 8142*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = l + 2, -3*i - 2*l = -22. Suppose -3*u = -6 - 3. What is the second biggest value in u, i, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2 (c) 0.09 (d) 4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 3. Suppose 0 = -5*y - w + 39. Find the second derivative of 2*f - y*f - f + 3*f**3 + 2*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2568*a**2 - a - 2536*a**2 + 2*a**3 - 2 + 4825*a**2 in the form d*a**3 + y*a + s + m*a**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzmzamadft. What is prob of sequence zm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286728?\nAnswer: 2, 3, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let m(w) = 20 - 9 - 10*w**2 + 1 - 9. Give r(m(d)).\nAnswer: 20*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -33*l + 14. Is z(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 0*a**3 - 2*a**3)*(382 + 412 - 794 - 2724*a).\nAnswer: -2724*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + z**2 + 2*z**2 + 109*z**3.\nAnswer: 109*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.63012 to 2 decimal places.\nAnswer: 55.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:40 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Let d(a) = a**2 - 8*a**3 - 2 + a + 4*a**u + 1. Let z be (2 - 2) + 1 + 0. Calculate d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(160).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 5, -521, 4, 2 in decreasing order.\nAnswer: 5, 4, 3, 2, -1, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*b**2 + 1 + (-4 + 4 + 4*b)*(1 - 1 - 4*b) + 40*b**2 - 4*b - 1 - 21*b**2 - 18*b**2.\nAnswer: -12*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204527 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 6*w - 10. Let i be s(-4). Let c(x) = -88008*x - 16. Let y be c(i). Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlwl when four letters picked without replacement from slwooslsokhowollwlho.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 8\/(-3))*3*2. Let d be 2\/5 + (-92)\/30. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320311 (base 4) in base 13?\nAnswer: 369b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y = 41*y - 85*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -2\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - 73*f**2 + 83*f - 7. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1031\/20 + 246\/5. What is the common denominator of b and 73\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, -120, 1 in descending order.\nAnswer: 2, 1, -3, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -479*u**2*x**3 + u**2*x - 2*u*x**3 + 428*u*x + 1 wrt u.\nAnswer: -958*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9552294 to the nearest integer?\nAnswer: 3091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 5040000 = -8*p. Round p to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.03 (c) 487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - s = 1, -15*m + 202*s - 45 = 197*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 8.3, -65.9, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/214560 and -127\/384?\nAnswer: 858240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -550.6, -3, 0, 1\/3, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 2. Let p be (-12 - (-1 + -1)) + 4. Let b be p\/(-24) - (-166)\/8. Suppose 3 = -3*j - b. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 0 + 53 = -79 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - l**3 + 6*l - 5*l + 9*l**2 + 3 - 2*l**2 to the form j + y*l + r*l**3 + f*l**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 93 + -22 + 8 - (8 + 1). Solve -x*z = -67*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7)*q**(3\/7))**38 assuming q is positive.\nAnswer: q**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7637 = x - 7652, -d + 3 = x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2272356014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 - 39*d**2 - 189*d - 390. Determine q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9188*y**4 + 252 wrt y?\nAnswer: 36752*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12816, -25554, -38292, -51030?\n\"Answer: -12738*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676250205.\nAnswer: 5, 535250041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 612 = -56*z + 21*z. What is the remainder when ((-2)\/(-4))\/((-2)\/(-260)) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 265987, 265989, 265993, 265999, 266007, 266017, 266029?\n\"Answer: k**2 - k + 265987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1265196, -5060652, -11386412, -20242476, -31628844, -45545516?\nAnswer: -61992492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 - 69. What is the remainder when n is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 6, -2\/21, 50?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1, -0.31, 7\/4, -1\/3 in increasing order.\nAnswer: -1, -1\/3, -0.31, 0.05, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -356\/11*d**3 + 2\/11*d**5 + 544\/11*d**2 - 366\/11*d + 92\/11 + 84\/11*d**4.\nAnswer: 2*(d - 1)**4*(d + 46)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3613*p + 14. Let v be f(4). Let s = v - 6563. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*x - 10, -4*x = -3*s + x - 15. Let y be -2*((-2 - -5) + s). Suppose y*g - 84 = 12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -35 + 18\/6 - (-1 + -31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3991 and 112948493.\nAnswer: 112948492.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s - 10. Let d(l) = 2*l + 3. Let q = 1906 - 1909. What is q*w(i) - 8*d(i)?\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 17*o + 14 = 14*o, -5*c = 3*o + 22. Put 5, c, -40 in increasing order.\nAnswer: -40, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(187) + 1*sqrt(187) + sqrt(187))\/sqrt(11) + (sqrt(51)\/(sqrt(27) + sqrt(3)) - sqrt(17)))*-2 - (sqrt(17) + -1 + 5 + -1 + -4))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180807984 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and 1.53.\nAnswer: 58.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 8*g - 365 = 8*g. Which is smaller: g or -1388\/19?\nAnswer: -1388\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2691 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*64\/(-6). Let s(x) = -15 - 8*x**2 - 4*x**2 + 30*x**2 - 8*x + x**3 + 24*x. Let t be s(-17). Solve 4*l - z = -t*b, 0*l + 5*b = 2*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 69575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36408*h**2*q**2*t**2 + h**2*q**2 + 4*h**2*t**2 - 205*h*q + 2*h*t**2 - 20*h + 2*t**2 wrt q?\nAnswer: -72816*h**2*t**2 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 98, 93, 32, -103, -330?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3 + ((-561215)\/(-21432) - 11). Let r = a + -726\/47. What is the common denominator of r and 37\/40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 19*p**2 + 51*p + 11. Let k(t) = 0 - 89*t**2 + 93*t**2 - 10*t - 2. Let o(m) = 11*k(m) + 2*u(m). Determine j, given that o(j) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2644295.\nAnswer: 3\/2644295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m**3 - 6*m**2 - 5*m + 3. Let w be (-6)\/33 - 228\/(-44). Suppose w = -3*t + 2*t. Is c(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -985.02853 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 46. Let o = 73.22 + d. Round o to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*f + 186*f + 1 + f**2 - 48*f + 320*f as m + y*f**2 + p*f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31034 + -10?\nAnswer: -31044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.06, -2, -94, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -7638?\nAnswer: -3055.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1202\/212887 + 5\/593. Is n > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:32 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29295 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3*8\/12 - 21\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from {y: 8, a: 2, g: 2, t: 5, e: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose b - 2*l = 10, -3*b + 18 = -d*l - 3*l. Suppose 4*i = 5*a - 41 - 4, b*i - 18 = -2*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/296 - (-328)\/160\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*o = 4*q + 21, 3*o - 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 3. Let y be h(-2). Let l = 8 - 8. Let n = l + 1. Solve d = -n + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -0*n - 3*n - 7*f + 2*f - 25, 0 = -15*n + f - 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 94. Suppose o = -2*b - 142. Let c = b - -200. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-594)\/14 - (-26486)\/4879.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*l - 4*l + 10, 5*u + 5*l + 5 = 0. Suppose 5*g - u*w - 80 = 0, 4*g + 0*g + w - 85 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + o - 4*o + 9, 2*t + 2*o - 14 = 0. Factor -3*h**3 + 74*h**4 - h - 38*h**4 - 3*h**t - 37*h**4.\nAnswer: -h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/((-2)\/6*-1). Let g be (6\/w)\/(5\/((-50)\/4)). What is the third smallest value in g, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*2\/(4\/7). Suppose 14 = 3*h - 4. Let c = h - 6. Sort -4, c, 4, p in increasing order.\nAnswer: p, -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, c: 4, n: 1, r: 2}. What is prob of picking 1 c, 1 r, and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2701914 by 173.\nAnswer: 15618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 624 divided by 208\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23034, 32609, 58600, 109215, 192662?\n\"Answer: 1368*s**3 - s + 21667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Suppose -4*b - l*i = 0, -2*i = -5*b - 6*i. Suppose 2*w + b*w + 3*u = 4, 0 = u. Solve w + 3 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(1144\/48) + 2553\/506.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + -1 - (sqrt(243) - (sqrt(243)*1 + sqrt(243) - sqrt(243)))*1) + 5*(sqrt(75)*1)**2 + 2.\nAnswer: 9*sqrt(3) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -6*t**3 - 1308201*t**2 - 71307583632*t + 35654118867 = 0.\nAnswer: -109017, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2290 + -2285. Sort 2, c, 1, 56 in decreasing order.\nAnswer: 56, c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 + 264 + 240*a**3 - 522.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 8. Let h(f) = -f**2 - 7. Suppose -o + 1 + 2 = 0. Suppose 4*t - 48 = -4*q, -q - 5*t = -5*q + o. Give q*h(b) - 6*r(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29194 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 1.42 (c) 52 (d) -32 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.193 + -15.193. Sort 0.3, 2\/7, -2, h in decreasing order.\nAnswer: 0.3, 2\/7, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95a (base 16) in base 4?\nAnswer: -211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 - 3. Let t be g(3). Let q be (-4)\/t - (-4033)\/(-15249). Let n = q + 4\/221. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(320)*-1*-3)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jnjjjjjjjjn.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 - 2*x + 3. Let i be n(5). Suppose -14*h + 9*h = -11*o - 19, 3*h + 3 = 3*o. Sort 4, i, h in increasing order.\nAnswer: i, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) + (-1 - -3). Suppose 2*u = -0*u - 3*w - 99, y*u + 111 = 3*w. Let a = 63 + u. What is the remainder when 61 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/15)\/((-2)\/(-30)). Suppose 71 = -5*y - 3*h + g, 2*h - 66 = 5*y. What is the common denominator of -67\/4 and (-1)\/(y\/(-15)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999795 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20621, -20622, -20623, -20624?\n\"Answer: -f - 20620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 45*n**2 - 235*n + 34. What is k(-39)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -4*z, -2*m - 400*z = -397*z - 5. Which is the nearest to m? (a) 11 (b) -4\/7 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 15*k + 25. Calculate w(-20).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10015 + -672. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**2\/11 - 46722*l\/11 - 473820.\nAnswer: 6*(l - 7897)*(l + 110)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 5, l: 5}. Give prob of picking 1 d and 1 l.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30311677169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 2, a: 1}. What is prob of picking 1 p and 1 g?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 10. Let t be 11\/55 - 9\/(-5). Suppose -8 = -j - j. Solve -n + 3*n - t = -m, j*m + n + 6 = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.048848 and -0.3.\nAnswer: -0.348848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73696*q - 1813 = 73745*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r + y, 7*y = 2*r + 2*y - 24. Let s be r + (0 + 2 - -14). Solve -2*t - s = 5*o, 13 = -t - 5*o - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 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 common multiple of 10 and 828?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/33, -25, 34?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/9473535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059970054 to the power of 1\/2, to the nearest integer?\nAnswer: 45387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 431*v - 322*v - 1629, -2*m + 21 = v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (67 + -78 - (2 + -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-77))\/(20\/70).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 - -325. Sort -5, k, -13, -2 in descending order.\nAnswer: k, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376241593 by 40141.\nAnswer: -9373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 8. Suppose -5*x - 2*b + 170 + 25 = 0, -2*b = -z*x + 117. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 333*a**2 + a - 1. Does 9 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f**5)**(-30) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 25*u**2)*(-2*u - 5 + u + 3*u).\nAnswer: -50*u**3 + 125*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, q: 1, n: 4, h: 1, w: 4}. Give prob of sequence uhw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -793 + 791. Which is the third biggest value? (a) -1\/3 (b) -1 (c) 5 (d) p (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255142 is divided by 419?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11585 and 64396381.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 2 - -1 - 5. Let r be 3\/(-6)*y\/3. Solve -b + r - 6 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11341 is divided by 214?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**3 + 53*n**2 + 89*n - 1448. What is c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294 - -283)\/((-77)\/(-70)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o. Let r be p(1). Let a be 1\/((-6)\/r)*-3. Let v be 6\/(-4) + 21\/12. Sort -1\/4, a, v in decreasing order.\nAnswer: a, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -0.335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.19 - 1.81. Let p = 42.19 + -42. Sort -2, p, v in ascending order.\nAnswer: v, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v**(3\/4)*v)\/v*v)\/(v\/(v**1*v)))\/(v**(-2\/19)*v*(v*v**4)\/v*v)*((v\/v**0)\/v)**(7\/3)\/(v*v**(-4)*(v*v*v**(-2\/5)\/v)\/v) assuming v is positive.\nAnswer: v**(1237\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3627 divided by -1209\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 3*g, -2*j - 4*g = -0*j - 2. Suppose 185 = 9*x + 212. Put j, 5, -4, x in increasing order.\nAnswer: -4, x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14453166 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + 9 + 14\/16. Let k be (-230)\/(-3)*(-6)\/352. Let j = y - k. Which is the third biggest value? (a) j (b) -6 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176004 is divided by 877.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43447.086 - -43428.086017. Let f = l - -19. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 5761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -23. Let t = 25\/7 - 146\/35. Which is the third smallest value? (a) o (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*b - 25 = 0, -d + 41*b - 71 = 29*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -820, -1, -8, 1 in increasing order.\nAnswer: -820, -75, -8, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 - 3*p - 5. Let z(u) = -2*u**2 - 2*u + 5. Let h(r) = -r**2 - 2*r + 4. Let c(d) = 6*h(d) - 5*z(d). Let g be c(-1). Calculate n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.3, 5, 4, 11, -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 1\/3*v**3 - v**2 + v - 1 + 11\/4*v**4. Calculate the least common multiple of t(1) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 20*a**2 + 14*a - 26. Is d(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)\/x*x**(4\/5))\/(x**2*x\/x**(-1)) assuming x is positive.\nAnswer: x**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18102.964246 + 18103. Round g to 4 decimal places.\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -34990\nAnswer: -34990.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18\/13 + -193\/130. Let s = 9261 - 9265. Put h, -3, s in increasing order.\nAnswer: s, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 6*j - 9. Let q be t(-7). Let w(u) = -u**2 - 2*u + 2. Let i be w(-3). Which is the closest to -1? (a) q (b) i (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -51 - (-1493186)\/(-31781).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -80385723513 and -86.65.\nAnswer: -80385723599.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 0.052, -103\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1586 and -0.21.\nAnswer: -333.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + -6 - -2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1572 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/(-182) + (-2)\/(-13). What is the closest to -2 in c, -5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -200. Find the second derivative of 21*b**2 - 21*b**2 - h*b - 21*b + 6*b**4 wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 7, 3, 0, -1, 45 in ascending order.\nAnswer: -4, -2, -1, 0, 3, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 1\/6, 19, -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22974, -24271, -25564, -26853?\nAnswer: -28138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Suppose 3*m + f*s - 40 = 0, 7 = 4*s - 1. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -111?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 + 6*c - 2. Let r be l(5). Suppose 0 = -3*y + r*y - 4*y. Let o be (-8)\/(-6)*(-3 + 0). Which is bigger: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708946?\nAnswer: 2, 23, 97, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 88579*c + 2126472.\nAnswer: -(c - 24)*(c + 88603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -11202946?\nAnswer: 33\/11202946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 159*m**3 + 166*m**2 - 1147*m - 16. Is 143 a factor of w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let h(z) = 1058540270*z. Calculate p(h(q)).\nAnswer: -2241015006423345800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2612, 30, -4274, -10300, -18048, -27518?\n\"Answer: -861*q**2 + q + 3472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Suppose -9*o - 10*o = 195 - 233. Solve -4*y + v = -o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 327, 106.38?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + -5.13. Let o be ((-65)\/(-30))\/(-13) - 0. Which is the third smallest value? (a) v (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 36039 - 36039.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1629*u**2 - 13*u + 265518 wrt u?\nAnswer: -3258*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8253 (base 11) to base 10.\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*l + 20, -282*c + 277*c = 3*l - 46 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1)\/s*s)**(2\/47)\/(s**(-1\/5)*s**(-3)))\/((s**(-2\/7)*s)**(-1\/55)*s*s**(-2\/21)\/s*s*s*s**(1\/4)) assuming s is positive.\nAnswer: s**(239023\/217140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115076239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2744 + 6424. Let s = n + 3547. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 120. Suppose t = 2*z - 4*r + 8, 4*r + 12 = z. Let d be (1 + 0 + 2)*1. Solve 0 = -d*v + z*v - 5*y - 8, 0 = 4*v - 3*y + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*h - 4 = 14, -h + 2 = l. Let g(q) = 0 - 13*q + 10*q - 3 + l. Give g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4*t + 4. Let p be 1 - 3 - (0 - -3). Let h be i(p). Let o = -198\/95 + 32\/19. What is the closest to o in -0.1, h, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(0 + 2 - 3) + 3 - 7 + 2 + 0 - 1 + 3)*(19*x**3 - 19*x**3 + 7*x**4).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*h + 3 = 0, -4*h + 5 + 7 = 0. Let x be -11*(0 + 1)*-1. Let v = x + r. What is the lowest common multiple of 1 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -126020?\nAnswer: 126024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*37\/(-74)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - h**4 + h**3 - 2*h**3 + 2*h**2 + 2*h - 4*h as r*h + b*h**3 + q*h**4 + f + t*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -99*s**3 - 3*s**2 - 4*s + 2. Let v be u(-2). Let j = v + -579. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*1*13\/(-52)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.310962km?\nAnswer: 4310962000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -196673959999?\nAnswer: 196673959999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -62, -103, -150, -203, -262, -327?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5 - 6880*i**4 + 784100*i**3 + 18219120*i**2 + 33246720*i = 0?\nAnswer: -18, -2, 0, 148, 1248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose 4*z - 18 - 26 = 0. Suppose -5 = p*u + z. Sort 5, -5, u.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*d = 171*d - 1555. Suppose 0 = -3*v + 4*v - d. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9019 rounded to two decimal places?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -117896 < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*g - 10 = 0, 3*g - 15 = -2*g. Differentiate 57*v**3 - 129*v**3 + k + 25*v**3 with respect to v.\nAnswer: -141*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - -5.85. Let h = 0.003 + 36.997. Let u = h + -37.1. What is the second biggest value in u, i, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28+-0.33438\nAnswer: 27.66562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39943157501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8 = 0, 2*d = 5*m + 3*d - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/425, -3365, -4?\nAnswer: 2\/425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, -3, 3129 in ascending order.\nAnswer: -4, -3, 0, 3, 3129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 15*o**2 + 228*o - 24. Calculate the remainder when u(13) is divided by 179.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2189673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31986.2 - -32054.1967. Let u = 68 - s. What is u rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -81. What is the remainder when r is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113, 278, 429, 560, 665, 738?\n\"Answer: -m**3 - m**2 + 175*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 0. Let u be 126\/45 + d\/(-5). What is the units digit of ((-14)\/(-4))\/(u\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 3. Let g(a) = 4*a - 3. Let l be g(2). Let c(t) = -t**3 + 5*t**2 - 4*t - 3. Let y be c(3). Suppose 6*f + y = l*f. Calculate r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - -1) - -6) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/414 and 77\/12.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 188 = 2*v - 5*o, -5*o = -5*v + 1020. Let k(n) = -3*n**2 - 70*n + 141. Let i be k(-25). What is the highest common factor of i and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4987962 and 198.\nAnswer: 54867582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2026\/(-78) + -79*22\/67782?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 + 420. Solve j*s - 10 = -8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/60*z**5 + 0 + 1\/24*z**4 + 0*z - 4*z**2 - 1\/2*z**3. Suppose 11*a + 2*a + 39 = 0. Determine c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2182*r = 2366*r - 7360 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = w + 5*l, 0 = 92*w - 5*l + 2362 - 2797 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: ((-133260)\/(-35536))\/((-50)\/16)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 15. Let z(f) = h*f**2 - 4*f**2 + 3*f**2 - 10*f**2. Let r(p) = 3*p**2. Calculate z(r(t)).\nAnswer: -63*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 9*v + 11. Let g be d(-7). Let t be (-60)\/(-8)*g\/(9\/(-2)). Suppose -7*h + 20 = -t*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128958 is divided by 128532?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23351, 186915, 630993, 1495877, 2921859, 5049231, 8018285, 11969313?\n\"Answer: 23382*m**3 - 35*m**2 - 5*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81, -153, -233, -327, -441?\n\"Answer: -y**3 + 2*y**2 - 71*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 + 5*b**4 + 8*b**4 + (-2*b + 2*b + 2*b**2)*(-b - 3*b**2 - 5*b + 7*b).\nAnswer: 11*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6*z = -2*b + 3, z - 4*b + 21 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 947473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82063056?\nAnswer: 2, 3, 61, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1341 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41373 divided by -4597?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-18) + (-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = d - 2. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6*9\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -19, -44, -79, -124, -179?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 1 - 1)*(-167 + 369 - k - 17*k**3 - 197) - 2*k**3 + 2*k**3 + k**4.\nAnswer: 69*k**4 + 4*k**2 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from gpfgphpppghppgpggg.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/11, -10, 1\/3, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t + 2. Let b be p(0). Suppose -5*w + 934 = g, -b*g + w + 1832 = 2*w. Suppose -g - 328 = -6*a. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 1258?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6579 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -802097.18 to the nearest 1000.\nAnswer: -802000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*r + 120 = 0, -15*r = 3*c - 16*r - 90. Solve 33*j = a + c*j - 3, -2*j = 4*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/34961 or 0.013?\nAnswer: -2\/34961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163845, 163841, 163837?\n\"Answer: -4*i + 163849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11877 + 32507 = 8*h. Calculate the remainder when h is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-6)\/15) - (-1678)\/280. Let w = o - -3\/20. Factor -w - 2\/7*t**2 + 8\/7*t.\nAnswer: -2*(t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212883 (base 11) to base 3.\nAnswer: 122022000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 2)*(28 - 28 + y)*(y + 1 - 1).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*j + 6*i**3*y + i*j + j*y + 52*y wrt i.\nAnswer: 6*i**2*j + 18*i**2*y + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4)*(4 - 8). Let r be (-75)\/5*1\/s. Factor 4 - 4*v**2 + v + v + 3*v**3 - r*v**3.\nAnswer: -2*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.400418m to micrometers.\nAnswer: 8400418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 103. Let o = v + -72. Factor 3*y**4 - 9*y**5 - 4*y**4 - 3*y**o + 13*y**5.\nAnswer: 4*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1514179.5 months to millennia.\nAnswer: 126.181625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4. Let o(t) = t**4 - t**3 + 1. Let q(n) = -5*n**4 + 4*n**3 + 2*n**2 - 4. Let l(a) = y*q(a) - 4*o(a). What is the third derivative of l(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-3 - -3) - 22. Is 12\/4*z\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 50 = 2*j, 6*f - 3*f - 2*j - 55 = 0. What is the remainder when f is divided by -20 + 0 + 19 - (24\/(-2) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = -26*v + a - 9, 4*v = -5*a + 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1043? (a) 1.96 (b) -2\/17 (c) 2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 12*m**2 + 32*m. What is the units digit of g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 7. Let z be l(-11). Suppose g + 4 = 3*g - 4*y, -4*y = -z*g + 28. Let w be (-4)\/(0 - 1)*3. Calculate the greatest common divisor of g and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 6, y: 2, p: 4, k: 1}. What is prob of sequence jky?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6052, -12111, -18170?\nAnswer: -24229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38675 and 1663900?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckcx when four letters picked without replacement from {k: 1, g: 1, c: 2, z: 4, x: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2210592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*y + 5*y. Suppose 0 = -q - y, 8*p - 4*p = -2*q + 388. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(133\/42)*(-1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6)*(-9)\/(-116 + 8))\/(-2)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398472960 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(120)\/(-2*sqrt(12) - sqrt(12))))\/(1*sqrt(28)\/sqrt(64)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 8, r: 2, t: 1, u: 4}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 108735*j**2 + 1740720*j - 6964160.\nAnswer: -5*(j - 8)**2*(j + 21763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62979 + 43407. Let q = f - -19572.49998. Let j = 0.5 - q. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + r**3 + 3)*(3*r - 2*r - 2*r) + (-r**4 - r**4 + 0*r**4)*(3 - 3 + 2) - 3*r**4 + 95*r**3 - 95*r**3 + (-r + 2 - 2)*(2*r**3 + 2*r**3 - 5*r**3).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356390?\nAnswer: 2, 5, 157, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z + 442, -3*q + 4*z + 332 = 6*z. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t**3 + 0*t - 38 - 4*t**4 + 2\/3*t**6 + 12\/5*t**5 + 0*t**2. Factor i(p).\nAnswer: 4*p**3*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/8 (b) -16 (c) -2 (d) -3.1 (e) 38\/5 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*y + 381 - 750 + 369 to r + c*y and give c.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/((-3)\/(-6)). Let f(y) = 6*y**2 + 2*y + 1. Is 29 a factor of f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 1, p: 6, j: 2, d: 3, n: 3, b: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 5)*(-4)\/(-8). Suppose -2*o - 5 = d - 16, -2*d + 3*o = 6. Solve -q - d = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -40. Suppose -4*i = -5*k - 19, -3*k - r = -5*i - 6*k. Suppose h = 9 + i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {e: 3, z: 3, u: 1, r: 2, s: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, -47, -3, 2.2 in ascending order.\nAnswer: -47, -14, -3, -2, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74925 by 4995.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/32 - (-253)\/(-348). Sort w, 0.2, 0 in decreasing order.\nAnswer: 0.2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/20*22\/11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543830 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) - 88\/6. Suppose -3*t - 43 = -10. Let n = t - f. Put n, -5, 2 in descending order.\nAnswer: n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7*3\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 116912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 25. Let w(k) = -2*k. Determine w(c(s)).\nAnswer: 6*s + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17068 and -12041.7349.\nAnswer: -29109.7349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/54 + (45983\/(-546) - 2). Is -86 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 11) + 2 + (-1 - 1) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 7 + 2)*(4*t - 16*t + 5*t)*(t + 0 + 0) as j*t + b*t**2 + u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 - 7*t**2\/2 + 3*t. Let a be i(12). Suppose -5*q + 5 = -a. Solve 3*g - q*f = 5*g, -4*f + 36 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1276.7 + -1273. Let s = 26.3 - 29. Let n = p + s. What is the second smallest value in -6\/5, n, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, -1, 2\/17, -6 in descending order.\nAnswer: 0.3, 2\/17, -0.5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from kkknvvnnnnknk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (2 - (8 + -4)). Let m(d) = -10 + 15*d + v + 6. Let c(p) = -p. Give c(m(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (9 - (-4 + 6)) - 16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - i. Suppose 6*c + 8 = 2. Let v(l) = -8*l**2 - 6*l. Give c*v(u) + 6*t(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 4, v: 4, q: 2}. Give prob of picking 1 v and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/(z\/(z*z\/(z**4*z*z*z))))\/((z**4*z)\/z**(2\/7)))\/((z\/z**3)\/z*z**2*z)**32 assuming z is positive.\nAnswer: z**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 15*u - 19. Let v be l(-14). Let d(j) = -j**3 - 5*j**2 + 6. What is d(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/589*1\/(-2). Suppose -2507*c = -1925*c. Is c less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g*(g\/(g*g\/g**(-1\/4))*g)\/g)\/g)*(g\/(g**(-15)*g))\/g assuming g is positive.\nAnswer: g**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.9. Let q = 0 - i. Let l = -0.46 - 0.04. What is the closest to q in l, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c + 57. Let j(s) = -11567*s**2 + 3*s. Determine k(j(r)).\nAnswer: -208206*r**2 + 54*r + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -118*k + 3203. Let l be w(27). Solve -p = -3*t + 14, 0 = -2*p + 7 - l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 1, f: 1}. Give prob of sequence ll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - -3231)\/(-47) - -12?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527542594 to the power of 1\/2, to the nearest integer?\nAnswer: 22968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 1.4. Let d = y + -0.4. What is the smallest value in d, 2\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7\/4, -2, -12, -2\/79, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 2*s. Let t be (0 + s)\/(-30 + 35). Solve 0 = 3*a + 4*w - 3, -4*a + w - 15 + 0 = t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 9*k + 3. Let z be ((-40)\/(-6))\/((-12)\/(-18)). Let j be w(z). Let s be j\/(-52) - ((-315)\/4)\/3. Solve -4*r - s = -6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 77?\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 464*w\/7 + 6912\/7.\nAnswer: 2*(w + 16)*(w + 216)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0302 and 345459.\nAnswer: -10432.8618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 2 t when four letters picked without replacement from {u: 2, t: 2, i: 4, n: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let g = 8 - 7. Suppose g - 5 = 2*o. Let q be (-2)\/o + 2*-1. What is j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**5\/90 - 7*o**4\/18 - 2*o**2 + 10*o - 161. Let j(z) be the second derivative of w(z). Find c, given that j(c) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**26*(y\/(((y*y**4\/y*y)\/y)\/y)*y)\/y)\/(y**(1\/34)\/((y\/(y**33\/y))\/y)))**(-30) assuming y is positive.\nAnswer: y**(30105\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -269 and -0.33785.\nAnswer: -269.33785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84365.\nAnswer: 5, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 6*r**5 - 3*r**5 - 9*r**2 + 21*r**2 - r**5 - 6*r**2 + (r - r - 2*r**4)*(-5 - r + 5).\nAnswer: 5*r**5 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1475 divide 1267025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4481 is divided by 223?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = -a, -2*a = -2*s + 6*s + 20. Let x(w) be the first derivative of a*w - 2\/3*w**3 + 1\/2*w**2 + 3. Find the second derivative of x(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 1730010*l + 149646730005.\nAnswer: 5*(l - 173001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 3 - 3 + (-4 - 2*b + 4)*(-1 - 2 + 1) + (-8*b + 8 - 8)*(2 + 1 - 6) - 6 - 5*b + 6 in the form q*b + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 2, i: 4, n: 2, u: 7}. Give prob of picking 1 i and 2 f.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 5916?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 40*c + 1236 = -38*c, -5*u = 4*c - 2058. Calculate the remainder when u is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141172614 divided by -66?\nAnswer: 2138979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, g: 1, v: 1, r: 2, a: 1}. What is prob of picking 1 g, 1 d, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0)\/2 + 8 + 51 + -69?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135817225?\nAnswer: 5, 19, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4 + 6134*b**3 - 117268*b**2 = 0?\nAnswer: -3086, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -115 (b) 302 (c) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 3*a**2 + 4*a + 90. Calculate s(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 119, 2, 1.6, 3.9?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + (sqrt(1100) + -2 - sqrt(1100)))) + 1)*5 - sqrt(77)\/(sqrt(567)*2)*-6.\nAnswer: sqrt(11)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-105) + (-37)\/7 + 1. Is (-6)\/3*1574\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 not equal to -810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8019 is divided by 615?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3741*p**4 - 546*p**3 + 33775280*p wrt p?\nAnswer: -44892*p**2 - 3276*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -1 (c) 0.2 (d) -80975\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*n - 3, 4*f + 2*n + 7 + 5 = 0. Let t = f - 2. Suppose 18 = -9*q + 6*q. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 3)*(-12*s - 107 + 52 + 53)*(0*s - 2*s + 3*s).\nAnswer: 60*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 + 93 + 391*b**2 - 91*b**2 - b to p*b + r*b**2 + t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15900, 14911, 13256, 10929, 7924, 4235, -144, -5219?\n\"Answer: -s**3 - 327*s**2 - s + 16229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(70 - 67*o - 70).\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/7))**(-30)*m\/((m*m**(1\/3)*m)\/m)*(m\/((m**(2\/5)\/m)\/m))\/m assuming m is positive.\nAnswer: m**(-7067\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkezzzbkm. Give prob of picking 1 z and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104458 + 160757. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.786 + -14.7. Let p = w - -13.914. Let s = -0.7 - -0.6. Which is bigger: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + o + 0 - 3 = 0, -4*i = -o - 15. Suppose i*z - 12 = z. Let q be (-5)\/((2\/z)\/(-1)). Solve -5*m + 3*m = p + 5, -3*m + q = -3*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggdwygggyk. What is prob of picking 3 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 183664794*i\/5 - 73465916\/5 = 0.\nAnswer: 2\/5, 18366479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103*j + 1225*j + 1090*j - 3414*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11882 and -31269?\nAnswer: 31269.11882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -220009.1 times 0.06?\nAnswer: -13200.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - 121040?\nAnswer: -120412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3.55 (b) 4 (c) -29\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 32 - 80 = -q, 2*q - 5*o - 114 = 0. Suppose -2*v + q = -0*v. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 10. Suppose 4*f = 3*f + r. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14*j - 96. What is w(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/63 - (30\/(-40) + (-74)\/(-56)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzzz when four letters picked without replacement from {z: 7, j: 1, s: 1, h: 3, n: 4}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = 15. Suppose -7*b = 12*b - 57. What is the remainder when b is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389051539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyoyyyyyyyoyyyy?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6969709 to the power of 1\/2, to the nearest integer?\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t - 1. Let a be r(1). Suppose -g - c - 1 = -5*g, 12 = a*c. Which is greater: -1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11628140 to the nearest 100000.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - (-5 + 8). Let h = d - -9. Is 5*(h\/(-10) + 2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.3 and 0.22376263162.\nAnswer: 5.52376263162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2b3c05 (base 13) to base 11\nAnswer: 668489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25833 - 183 = 10*c. Let x = c + -1523. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -538 - -896. What is the remainder when a is divided by 87?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6333\/5 + 1276. Let j = u - 433\/45. Is j bigger than 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4113245*u**4 - 8199280*u**3 - 4058870*u**2 + 27120*u - 45.\nAnswer: -5*(u + 1)**2*(907*u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 551675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:28 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.213 and 0.2?\nAnswer: 0.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n. Suppose 4*c - 1270 - 10 = n. Suppose 0 = -5*b + b + c. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-2\/11)))\/((t\/(t**(-1\/4)*t))\/t*t)*(t*t*t**(2\/5)*t)**0 assuming t is positive.\nAnswer: t**(-19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2230371 divided by 27.\nAnswer: 247819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 2*a - 8. Give c(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n = -12. Suppose 0*f + d - 1338 = -n*f, -8 = 4*d. What are the prime factors of f?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003258335311 to six dps.\nAnswer: -0.003258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 3*u + 3. Suppose 0 = -11*x + 10*x + 2. Let n(o) = -2*o**2 - 4*o - 4. Determine x*n(b) + 3*a(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*r - 4*y, 0 = -2*r + 11*y - 66 + 61 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 5. Let j(u) = -5*u - 6. Let s be -18*(-4 - 33\/(-9)). Let c(a) = s*h(a) + 5*j(a). Let t(b) = -8*b. Determine c(t(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/(-120) + (-255)\/76?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 10\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -222156?\nAnswer: -222145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4381 and -2.015.\nAnswer: -8827.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and -25*(-1 + (2 + 0)\/(-2))?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1571 + -1041. Let l = 530.00843 - b. What is l rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212212112000 (base 3) to base 6\nAnswer: 14023130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -261*h + 4527. Let l(c) = -587*c + 9053. Calculate -4*l(w) + 9*u(w).\nAnswer: -w + 4531","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -3 (c) 1 (d) -2.3 (e) 293\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3\/3 + 16*m**2 - 48*m = 0 for m.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -14*v**2 - 5. Let q(i) = -206*i**2 - 3*i - 85. Let w(c) = -205*c**2 - 4*c - 88. Let o(f) = 4*q(f) - 3*w(f). Determine 5*o(x) - 76*r(x).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 54*c**2 - 1 - 2 + 3*c**4 - 52*c**2 + 101*c**2 as s*c**4 + d*c**3 + j + n*c**2 + o*c and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**3 - 2*s**2 + 3*s - 3. Let y = -22 - -9. Let k = y - -10. Is u(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -5*t**3\/6 - 11*t**2\/2 + 5*t. What is the units digit of v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 8. Let t = w - -7. Let f be ((-1)\/3)\/((-10)\/(-12)). What is the nearest to -0.2 in t, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -13 - -23) + -27\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 327\/140 - 41\/20. What is the closest to 0.11 in -0.4, s, 0.7, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:06 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*c**4*w**2 + 2*c**2*w**3 - 2*c**2*w + 12*c*w + 20*w**3 wrt c.\nAnswer: 876*c**2*w**2 + 4*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 250\/40 - 1\/4. What is the units digit of 60\/30*(r\/4)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.367 + 0.367. Let m(y) = -3*y**3 + 2*y**2 - 2. Let p be m(2). Let f = p + 69\/4. Which is the second smallest value? (a) f (b) -0.2 (c) 0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 31*s**3 - 11*s**2 + 10*s - 15. Let j be u(7). Suppose n = j + 14781. Is 2\/5 - n\/(-50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) 6.8 (d) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.7 and 0.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710401281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32220026 is divided by 30339.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/8)*i**(-2\/5) assuming i is positive.\nAnswer: i**(-31\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -76, -126, -192, -280, -396?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5229 - -9174. Let d be (0 - 0)\/(43 - 44). Suppose -18*z + 13*z + c = d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.05 - -0.05. Let q = -1.4 - n. Which is the third biggest value? (a) q (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1067, -2121, -3163, -4187, -5187, -6157?\n\"Answer: b**3 - 1061*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 7. What is the remainder when 64 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n + 4. Let v be c(-5). Suppose 12 = -v*g + 4. Let r be (0 - g) + (19 - 2). Solve -2*w = -5*k + 3*w + 35, -r = -4*k + w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181479.4 centimeters to meters.\nAnswer: 1814.794","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 74\/15 + -5. Let f = a - -1517\/30. Calculate the common denominator of f and 43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2761902295?\nAnswer: 5, 1979, 279121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -1, -2, 0, -57 in increasing order.\nAnswer: -57, -2, -1, 0, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 9*a**2 + 13*a - 11. Calculate the remainder when c(8) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/18 - 668\/24. Let j = -13 - l. Suppose -5*n - 5*x = -35, -5 = n + 2*x - 5*x. Solve n*k = -k - j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -97 and 82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-180)\/2205)*57\/133*1\/5.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812*i**2 - 785*i**2 - 789*i**2 + 3170*i**2 - 777*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2620 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25655 divided by 2?\nAnswer: 25655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 27*x**2 - 20*x + 95. Let p be g(28). Find the second derivative of p - 646 + 324 - 7*n**2 - 3*n - n**5 wrt n.\nAnswer: -20*n**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than or equal to -65\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0\/p)**(-13))**(-11\/3)\/(p*p\/p**5*p*(p\/p**(-1))\/p)**(-38) assuming p is positive.\nAnswer: p**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 20975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130 in 0.2, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4988 and 0.35?\nAnswer: 4987.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 + 7 = 0. Suppose 0 = -q*n + 1932 - 76. Calculate the greatest common divisor of 29 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1 = -7. Let r(f) = -f. Let w be r(0). Suppose -2*n - c*n + 100 = w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3554835.\nAnswer: 3, 5, 269, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/7)*a*a*a**(1\/11)*a**4\/((a\/(a*a**(-5\/3)))\/a*a))\/(a\/(a**(-13)\/a)*a*a**(-15))**28 assuming a is positive.\nAnswer: a**(-5314\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-10) + (-4)\/(-20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 55*q**2 + 203*q - 46. Let h be d(-51). Which is the nearest to -2\/3? (a) h (b) -1\/3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 60800.84 rounded to the nearest one hundred?\nAnswer: 60800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 64. Let p(b) = b - 16. Let i(o) = -5*k(o) - 20*p(o). Let q(u) = u**2 - 1. Calculate i(q(v)).\nAnswer: 5*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -670 >= -670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12337 + 12552. Which is smaller: 219 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*y - 14. Let p = y - 32. Let x(i) = 18*i - 9. What is the units digit of x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k - 81. Let r(h) = h**2 + 43*h + 12. Let p be r(-43). What are the prime factors of j(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -31 (c) 17 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -97, -14, 2 in increasing order.\nAnswer: -97, -14, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2657 = 161*i - 2864 + 2301 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 50, 97, 174, 287, 442, 645?\n\"Answer: q**3 + 6*q**2 - 2*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from bbpppbpiggripripap?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53829091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2408736363292 and 2.4.\nAnswer: -2408736363289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 96509162.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3659.026 centuries to years.\nAnswer: 365902.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*k + 59. What is the closest to 1 in k, 4\/5, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 + -5 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300482.\nAnswer: 2, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 6\/(-4)*(62\/(-6) + -1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 + r**2)*(3108 - 3125 + 9*r**2 - 3*r - 6*r**2).\nAnswer: 6*r**4 - 6*r**3 - 34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 380\/11. Find the common denominator of 28\/11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 0. Let o(k) = -2*k + 0*k + b*k. Let h(l) be the third derivative of l**4\/8 + 2*l**2. Give h(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -546*r + 78427. Calculate m(144).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + 2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75812822.\nAnswer: 2, 101, 375311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 222220 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 3 - 13*q - 2*q + 2*q**2 + 29*q - 9*q in the form x*q**3 + h*q + y*q**2 + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let m(j) = -2*j + 20. Let w be m(9). Let o(y) = w - 10*y + 9*y - 2. Give o(f(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**42\/(q*q**(1\/6))**29 assuming q is positive.\nAnswer: q**(-371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/26576 and -39\/6610780.\nAnswer: 26443120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.5306nm in micrometers?\nAnswer: 0.4655306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 - -217. Suppose 5*x - 4*f + 5*f = 7, 3*x = -l*f. Solve -3*u = r - x*u - 1, 2*r - 2*u + 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -4.51?\nAnswer: 0.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvxassq. Give prob of sequence vax.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 47, 1, -23, -1 in decreasing order.\nAnswer: 47, 5, 1, -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 4*v - 10 = 17*j, j + 5*v + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*z**2 - 60*z**2 - 62*z**2 - 69*z**2 - 59*z**2.\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 420348*l**3*t**3 + 91*l**3*t**2 - 211*l*t**2 + 3 wrt t?\nAnswer: 2522088*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let h(z) = -8*z - 569579. What is h(n(x))?\nAnswer: -16*x - 569579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 702 = -3767. Let n = r + -620. Put 0.05, n, 5, -4\/5 in ascending order.\nAnswer: n, -4\/5, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + l - 3. Let k be t(4). Let i(d) = -d**2 + d - 1. Let a be i(0). Let x = a - k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*s - 44*s - 804. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3028 + 12379 = -658*i + 97 - 6538 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12632603538 rounded to 5 decimal places?\nAnswer: -0.12633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 375820400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463596?\nAnswer: 2, 3, 7, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 6. Let y(j) = -j - 8. Let a be y(0). What is the units digit of h(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71822938.\nAnswer: 2, 11, 449, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0 + 0 + 8*b**2. Let i(m) = -3 + 9 + 8*m**2 + 6*m + 2*m**2 + 6*m. Let f(k) = 29*k**2 + 34*k + 17. Let v(y) = 6*f(y) - 17*i(y). Give z(v(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 1. Let s be b(-1). Solve -z + 0*z + 2 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23914480 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2522*y - 1232*y - 80*y + 523*y.\nAnswer: -3311*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1414327.\nAnswer: -282865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j - 5. Let b be 2\/j*(4 + -1). Let w be b\/(4\/(-10) - 0). Solve w*x = -0*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p + 61352 = 4*u, 4*u = -p + 61368. Suppose -5*r = -5212 - u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2311, -73, 7 in decreasing order.\nAnswer: 7, -73, -2311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311592224, -311592226, -311592228?\nAnswer: -311592230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 17*b**2\/2 + 3111. Let f(m) = -19*m. What is f(n(w))?\nAnswer: -323*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*v**2 - 1 + 241*v - 107*v - 1112*v**2 - 48*v.\nAnswer: -1010*v**2 + 86*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.037968 * 0.35\nAnswer: -0.0132888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 46642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 63*b**4\/8 + 95*b**3\/6 + 18*b**2. Is j(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzhv when four letters picked without replacement from {m: 2, z: 3, v: 1, h: 2, e: 6}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 954 * 75.1\nAnswer: 71645.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 - 28*c**3 - 18 + 16.\nAnswer: -44*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 288, 671, 1206?\n\"Answer: 76*f**2 + 3*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 292.5. What is the third smallest value in g, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 102*p**2 - 789 + 789 - 49*p**2 - 53*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69193.\nAnswer: 69193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -646309.64 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:12 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/10 - 4*z**3\/3 + 5*z. Let d(k) = 0. What is k?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22783328 to the power of 1\/2, to the nearest integer?\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:56 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1*(-25)\/(-5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564013500*l**2 - 396*l + 127989?\nAnswer: -1128027000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83793503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 340186 - -26.\nAnswer: 340212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781 + 3734 = 21*o. Calculate the remainder when o is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1746 + 8444. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyqyqyy. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 8 = c, 2497*w + 33 = 4*c + 2488*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2 and 9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -8*c + 63. Calculate the remainder when 566 is divided by c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -271110.236 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7569 and 522.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -48200 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3178 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t + 83*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 2*s - 20 = 0, -5*z = -s - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4 - 49*r**2 + r**3 + 97*r**2 - 38*r**2 - 3*r - 2*r**3. Suppose 4*h + 3*o = 18, 5*o = 4*h + o - 32. What is the tens digit of k(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g\/g**(-1\/3)*g)))**(2\/73)*(g**(2\/7)*g*g*g*g)**(5\/8) assuming g is positive.\nAnswer: g**(16985\/6132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 13*p**2 + 21*p + 11. Let c be y(11). Find q, given that -2\/7*q**2 - 2\/7*q + c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r. Let l(i) = -5*i + 1. Let x(o) = -7*h(o) - 6*l(o). Is 12 a factor of x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3*(-92)\/(-1012)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496804 millilitres in litres?\nAnswer: 0.000496804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -519915 + 11?\nAnswer: -519904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-50)\/15)\/(2\/15). Factor f - z**2 - 1 - 9.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by -8.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/532 - (-50)\/(-56)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 13) to base 6\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 286*i*j**2 - 5195*i*j - 29*i - j**3 + 220984 wrt j?\nAnswer: 572*i*j - 5195*i - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 y when three letters picked without replacement from xbbxxyb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41258070 by 315.\nAnswer: 130978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3 - 71 = -212*p + 214*p, 10*t = -17*p + 289 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -191, 2, 2\/9, 0.3.\nAnswer: -191, -0.2, 2\/9, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -10. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/189 and -80\/21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 14. Let c = k - -22. Let m = c - -9. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33422)\/(-9830) - -4*(-1)\/10. Find k, given that 2\/5*k**5 + 0*k**2 + 0 + 4\/5*k**4 + 0*k - 6\/5*k**s = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 22\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5852, -5855, -5876, -5927, -6020, -6167?\n\"Answer: -2*s**3 + 3*s**2 + 2*s - 5855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11377 + -11362. Solve 3*o + k = -3*t, -3*t + 0*o - 5*o = 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1648, 1, -14, 4400 in decreasing order.\nAnswer: 4400, 1648, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let s(g) = -176*g + 80. Calculate s(c) - 80*z(c).\nAnswer: -176*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 56 = 4*q - 3, 3*q + 5*b - 37 = 0. Let s = 135 + -37. What is the highest common divisor of s and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(0*m**2 + 0*m**2 + m**2) + 2*m**3 - 6*m**2 + 6*m**2 - 42*m**3 + 69*m**3 + 2*m - 45*m**3.\nAnswer: -17*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -49, 1\/44, 5\/8, 1\/5 in descending order.\nAnswer: 5\/8, 1\/5, 1\/44, -0.07, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37999 rounded to two decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*l*s - 1193*l + 5*s**3 - 7*s**2 + s - 5 wrt s.\nAnswer: 38*l + 15*s**2 - 14*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5 - 10) + 0 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 433 + 27. Suppose z*m - 3944 = 452*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 + 133. Solve s*u - 12 = -0*f - 4*f, 5*u - f = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4197 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (859\/(-2))\/(1\/(-2)). Suppose -235 = 6*h - f. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**13*a*a\/a**(-9\/7)*a**(-11)\/a**(7\/6) assuming a is positive.\nAnswer: a**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let o be (-44)\/80 + (-26)\/104. Which is the nearest to 4? (a) -0.1 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -8 - -9) + -10 + 48\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/30)\/7)\/(261\/(-435))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 421*m**2 + 6*m + 4. Let j(w) = -631*w**2 - 9*w - 6. Let s(t) = -5*j(t) - 7*n(t). Let q be s(-1). Calculate the greatest common divisor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 26*z**2 + 10*z**2.\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -4, -1203, -19, -5 in ascending order.\nAnswer: -1203, -19, -5, -4, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -8. Let h = 43 + -36. Solve 3*k - h*k - i = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/4 - (-7)\/(-7). Suppose 0 = 3*u - 3*h + 9, 2*u - 5*h + h + i = 0. Let x = 3 - u. Solve 6 = 3*m, 0 = t - 3*m + x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 8*d**2 - 4*d - 14. What is m(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -193597\nAnswer: -774388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10430 - 10434.7948. Round j to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 12*v - 1. Let s(q) = -q**2 + 6*q. Suppose -6*j + j - 4*i + 30 = 0, -13 = -4*j - i. Give j*o(k) - 5*s(k).\nAnswer: -k**2 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from {u: 1, c: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 261, 170, 65, -60, -211, -394, -615, -880?\n\"Answer: -z**3 - z**2 - 81*z + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240217?\nAnswer: 19, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t + 145 + 239 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:49 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 111 in ascending order.\nAnswer: 1, 6, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 2217026*a**3 + 11*a**2 - 21024*a - 7554 wrt a?\nAnswer: -24*a**2 - 13302156*a + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:59 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4897451.06.\nAnswer: -4897452.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/(35682\/626)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4488 - 4486. Solve 4*p + 3 = 5*l - 1, 5*l + a = -2*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) 6 (c) 654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -0.2, -2\/9, 2101?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -226372764 less than or equal to -226372764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 3*o. Which is the smallest value? (a) -0.5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:44 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 424747.1 millennia in months?\nAnswer: 5096965200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 61*s + 10*s + 19*s + 15*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcg when three letters picked without replacement from ttctctgtc?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 22272264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 3\/2, 1\/583, 1\/3 in decreasing order.\nAnswer: 3\/2, 1\/3, 1\/583, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 25. Let g(b) = 3*b**2 + 1. Let f be g(-1). Suppose 40 = f*n - 2*u, k + 1 = -u. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -652, -3216, -10174, -23722, -46056, -79372, -125866, -187734?\n\"Answer: -366*o**3 - o**2 + o - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - w + 27025, 1220*b = 1225*b + 2*w - 33779. Calculate the highest common factor of 466 and b.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/21)*g**14)\/(g\/g**(2\/15)*g**(1\/31)*g) assuming g is positive.\nAnswer: g**(40009\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4) - (-12)\/8. Calculate the remainder when l + -3 - -10*2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b2 (base 13) in base 8?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.2? (a) -0.5 (b) -2 (c) -4.761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3690, 7302, 10914, 14526, 18138?\nAnswer: 21750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxwwwwwwwxwwwwwwwxw. What is prob of picking 2 w?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*g - 38, -5*n = -2*g + g + 16. Let h(y) = -y + 1. Suppose -2*m = 0, -t - 2*m = -0*t - 29. What is the remainder when t is divided by h(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 + 7124?\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898085967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r + 7. Calculate j(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -2*(22\/(-4) - -6) - -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1. Let d(p) = p - 24. Let k be d(23). Let g(z) = z**2 + 2*z - 7. Let v(m) = 4*m**2 + 2*m - 1. Let q be v(1). What is k*g(i) + q*a(i)?\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2713 (base 11) to base 8\nAnswer: 6703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let j(t) = 3*t + 19. What is the units digit of j(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/27)*i)**(1\/4)\/((i*i*i*i\/(i**(-2\/51)\/i))\/(i\/(((i\/(i**(-10)\/i))\/i)\/i))) assuming i is positive.\nAnswer: i**(-6206\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 14 = -24. Suppose -y + 8 = 3*g. Suppose 2*t = -3*f - g*f + 13, 2*t + f - 33 = 0. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -134, -186, -254, -344, -462, -614?\n\"Answer: -g**3 + g**2 - 38*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9184)\/102 + 390\/9945. Is -14 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/2*-14 - 4. What is the greatest common divisor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-6))\/(32\/1008). Let w be 4\/14 + (-3951)\/(-63). What is the greatest common divisor of r and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8aa (base 12) to base 3\nAnswer: 1202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 5*h**4\/4 - 35*h**3 + 225*h**2 + 1036. Factor v(x).\nAnswer: 5*x*(x - 15)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(1216))*-1 + sqrt(1216) + sqrt(1216) + 0 + 5)**2.\nAnswer: 256*sqrt(19) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 3, 2, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 + 4*h**3\/3 - 7*h**2\/2 - 36*h + 32. List the prime factors of v(-8).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -0.3, 0.03, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4920075)\/(-12) - 11\/44. Suppose 31*q = -309194 - t. Round q to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2075130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qseqcsdccsdcdsqdqcsd. What is prob of picking 3 c?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 24*b - 3. Solve 5*j - 3*r + 12 = 0, 0*j - 3*j + b*r = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19898, 39804, 59716, 79634, 99558, 119488, 139424?\nAnswer: 159366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7142696*n**2 + 13414404 wrt n.\nAnswer: -14285392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66333142*p + 66333142*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + c + 65*c - 32*c)*(-3 - 1 - 1).\nAnswer: -170*c - 425","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpbpbsbss. What is prob of sequence pssb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let p = 65 + -46. Let x = 21 - p. Let i(t) = -2*t**2 + x*t**2 + t**2. What is i(s(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 71. Suppose -4*x = x. Let q(v) = x - y + v**3 + 2*v**2 + v - 5*v + 0*v. Calculate q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/14 - -1 - -2. Factor -4\/7 - a*l**2 - 6\/7*l.\nAnswer: -2*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 305496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 4. Let v be b(-5). Let a = v + 7. Let w = 249 - 4231\/17. What is the nearest to 1 in 2, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 192\/5, -1\/4, -3 in decreasing order.\nAnswer: 192\/5, 0.2, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*s + 199 - 2350 = -44*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337465 to the power of 1\/2, to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y. Let x(z) = -z**2. Let c(m) = -l(m) - 3*x(m). Let h be (-1 - (4 - 2)) + 0. Is 6 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 5*s**3 - 752636 - s**3 - 136*s - s**2 + 752638 to n*s**2 + y*s**3 + v + k*s + d*s**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1817319 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10030 - 198?\nAnswer: ba54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122275 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 24 + 12 = 0, 0 = -4*t + 4*g - 36 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 394073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*d + 176, 5*y = -9*d + 6*d + 178. Solve -5*r - d = 9*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {y: 5, q: 2, x: 3, o: 1, j: 4, z: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 396, 252, 46, -198, -456?\n\"Answer: 4*z**3 - 55*z**2 - 7*z + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 27*d**2 - 5*d + 11. Determine s(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*g + 52731 = -382*g - 1045*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0391975763 to four dps.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.31 + 0.31. Let t = u + 51.008. Round t to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - t + 52, 15 = 4*g + 4*t - 17. Suppose -10*p - 677 = -g*p. Suppose -2*r - 2*r - p = -3*w, 679 = 3*w - 5*r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iai when three letters picked without replacement from aaaiiaaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w**2 + 47*w + 8. Calculate h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 310055\nAnswer: 62011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 7}. Give prob of sequence fl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k + 156. Let f(y) = -5*y + 52. What is -2*c(o) + 7*f(o)?\nAnswer: -o + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 165\/33*-3*1\/(-60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 486 - 470. Calculate the highest common factor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 3 - 3 + 4)*(1 - 1 + 1 + (1 + 2 - 1)*(-1 + 2 - 3) - 1 - 23 - 5) as v*f + w + b*f**3 + d*f**2 and give w.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 369\/(-2091) - (-71 + 0 + -3)\/(27 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugg when three letters picked without replacement from {w: 5, i: 2, y: 8, u: 1, g: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x + 3*x**2 + 95 - 91 - 4*x**2 to l*x + o + y*x**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-14\/3))\/(c*c**(-4\/13)) assuming c is positive.\nAnswer: c**(194\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 37*t**5 + 11*t**3\/3 + 23. What is the third derivative of m(j) wrt j?\nAnswer: 4440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 7*v**3 - 17*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - -0.248. What is l rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -18, -79, -186, -351, -586, -903?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l - 15*l + 29*l**3 + (l - l + l**2)*(-2*l + 0*l + 4*l) - 18 - 4*l**3 + 18.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 642*w - 460*w - 933*w + 3 to the form m + a*w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33511721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 4. Let v(a) = -3. Let i(n) = -6. Let t(c) = 2*i(c) - 5*v(c). Give -3*l(s) - 4*t(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 30. Let y be f(30). Suppose -3*x = -4*x + 18. What is the greatest common factor of x and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 - 3*i**5 + (-2 + 2 + 2*i**3)*(-5*i**2 + i**2 - 3*i**2).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g - 4*b, 3*g - b + 4 + 28 = 0. Let k be 6\/27 - 313\/g. Suppose -4*y = -k - 13. What is the remainder when 34 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -142*b**3 + 9*b**2 + b - 3. Let m(n) = n**3 - 3*n**2 + 1. Determine 3*m(c) + y(c).\nAnswer: -139*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10380165805 - 10380165946.00000097. Let g = p + 141. What is g rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 4, 5 in descending order.\nAnswer: 11, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*s - 314 = -2*i, 68 = -2*s + 6*s + 96*i - 92*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150b3 (base 13) to base 15.\nAnswer: bb62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))**(-28)*((g\/((g\/(g*(g\/(g\/((g**(-1)\/g)\/g)))\/g*g))\/g))\/g)**(-23) assuming g is positive.\nAnswer: g**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(539) - (sqrt(539) + 1)**2 - sqrt(539)) + sqrt(275) + (sqrt(275) + 2*sqrt(275)*2)**2.\nAnswer: -9*sqrt(11) + 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5, -y - y - 7 = l. Let x(b) = -b**2 + 2. Let t(a) be the first derivative of -a**3\/3 + a - 1. Give y*x(k) + 2*t(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22 + 5)\/(-1 + 2). Calculate the greatest common divisor of g and 1215.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 2}. What is prob of picking 1 l and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.682412 - -194.638812. Let f = v + -194. Round f to 3 decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 59. Suppose -u - 2*u + 52 = a, 5*u = l*a - 142. Suppose -4*b = -h - 2621, -b + 4*h - a + 708 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*y, -3*y - 2*d = -5*y + 8. Let j(i) = -2 + 3 + 4*i - y - 5*i. Let f(q) = 2*q - 4. Let u(b) = f(b) - 6*j(b). Differentiate u(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31301 + 2020100?\nAnswer: 1322133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 678156 and 2604.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1094135)\/(-15) + 2 - (-2)\/(-6). Suppose -26056 - f = -5*b. What is b rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -2*b, -4*o + 5*b = -41. Suppose o*y = -157 + 61. What is the units digit of (-1)\/(-2)*(0 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 15179577?\nAnswer: 15179578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Let a(q) = -14*q - 3*q**2 + 14*q. Give a(h(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 8*c. Let u be w(-8). Let f = 12.5 - 13.5. What is the closest to 2\/3 in u, f, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 351*y**2 - 351*y**2 - 1 + 8*y**3 - y in the form d*y**2 + l + w*y + o*y**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1328 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*b - 86*b + 199*b.\nAnswer: 223*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = 0, -5*o + 8*o = -4*q - 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b + 25. Suppose 0 = -2*y + 4 + b. Suppose y*u - 20 = 10. Solve 2 = -4*k - u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 4, -25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - s)*(2*s**3 + 2*s**3 - 2*s**3) + 10 - 4*s**4 - 10 - 2*s**2 + 0*s**4 - s**4 + 2*s**4.\nAnswer: -5*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:56 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 9, s: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4990 - 4965. Solve 0 = -z*r + 163 - 88 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -8. Suppose l*v + 12 = -0. Let q(j) = -j**2 - j - 1. Determine q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {j: 1, v: 5, z: 2, r: 4, b: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*v = 6*l + 7, 55 = -68*l - v + 264 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*n**3 + 6*n + 39\/2*n**2 + 0.\nAnswer: 3*n*(n + 4)*(3*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/543 and 62\/15?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21479.4 rounded to the nearest one hundred?\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:53 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -10321779?\nAnswer: 10321779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 981 - 977. Suppose 2*m + 1324 = -9*c + 14*c, 0 = 5*c - f*m - 1318. Calculate the highest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 - s. Let o be p(-1). Suppose 10 = o*x - 8. Solve 2*m = h - 4 - x, 0 = 2*h - m - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -617, 7, -3, -1 in descending order.\nAnswer: 7, 1, -1, -3, -617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -28. What is the remainder when 48 is divided by 216\/21 + h\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 19*d + 21. Is (16125\/(-4))\/d - 24\/32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1417, -2544, -3671, -4798?\n\"Answer: -1127*d - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 12) + 5 + (4 - 15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/1038 and 41\/129.\nAnswer: 44634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Let b(v) = v + 11. Does 14 divide b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - p**2 - 5*p + 4*p**3 + 6 - 2*p**2. Let u be z(4). Let h = 0.39 + 0.01. What is the third biggest value in u, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-312)\/9*(-18)\/8. Let f = -46 + l. What is the lowest common multiple of f and 6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 57. Let r(f) = -111. Let d(n) = -38. Let j(h) = 8*d(h) - 3*r(h). Let y(l) = -3*a(l) + 7*j(l). What is the first derivative of y(x) wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 64375*q**3 + 193080*q**2 = 0 for q.\nAnswer: -12872, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60776271 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(4\/17)\/b*b*b)\/b)\/(b*b*b*b\/(b\/(b*b\/b**(-1\/8))*b)*b*b*b*b))**3 assuming b is positive.\nAnswer: b**(-3219\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-2 - 18 - -26) + -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 159\/4 (b) -2 (c) 0.06 (d) 15 (e) -2\/47 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:59 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -69*r**3 - 345*r**2 + 799*r + 3989. What is l(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from oqvvvqoooovvovooo?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-14) + (-27)\/135*(-24096)\/(-2410). Is p < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 + 49646.7013.\nAnswer: 49647.0613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) + 1 + sqrt(17)))**2 + 4.\nAnswer: 36*sqrt(17) + 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4693262 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 53 + 200. Let w = j - 20. Suppose 4*b - w - 39 = 0. Solve s + 5*v + b = 6, 3*s - v = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + v + 16, 5*h - 80 = -0*h + v. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:13 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - i)*(10996 - 19321 - 19234 - 8444 - 15041).\nAnswer: 51044*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*s**2*w**3*z**3 - 109*s**2*w**2 + 2*s**2 - 2*s*z**3 - w**4*z**3 - 4*w**2*z wrt w.\nAnswer: 504*s**2*z**3 - 24*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*a = -3*j + 10, -4*a + 304 = -5*j + 607 - 295 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.426 - 0.026. Let l = 240.1 + -240. Let g = -3.1 + 0.1. What is the nearest to l in h, g, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -81. Suppose -7*n + u*n = 990. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) - -4*sqrt(77)*-2)*-6)\/((sqrt(14) - sqrt(14)*-1)\/sqrt(2) - sqrt(42)\/(sqrt(30)\/sqrt(5))).\nAnswer: -168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054580431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 33 = -16*v + 5*b - 19, -44 = 4*v + 7*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3 - 155*h**2 - 502*h + 4424 = 0. Calculate h.\nAnswer: -7, 4, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37404574*l**4 - 27011065*l?\nAnswer: -448854888*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 17?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*g + 18080 = 24044 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by 51.\nAnswer: 161\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4 - 523787*m**3 - 1571355*m**2 - 1571353*m - 523784 = 0.\nAnswer: -523784, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = n - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10211052, 10211056, 10211060, 10211064, 10211068, 10211072?\n\"Answer: 4*d + 10211048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/29022 and 151\/368168946?\nAnswer: 2577182622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(12\/5)))**(7\/9)*x*x**(1\/11)*x\/(x**(1\/22)*x) assuming x is positive.\nAnswer: x**(-271\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.446 + 0.046. Sort -5, n, 41, 1.\nAnswer: -5, n, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11132.1 to the nearest one hundred.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/44)\/((-210)\/53130)*-2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/633684 and -137\/950526?\nAnswer: 1901052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6002, -3, -119.\nAnswer: -119, -3, 6002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/8)\/(3\/(-12)). Let z(x) = x**3 + x**2 - x. Let u = -14 + 14. Let r be z(u). Solve r = -c*v + 13 + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/(-8*(-12)\/4224).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13925 - 17017. Which is greater: -3090 or j?\nAnswer: -3090","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2 - 2 + (-64 + 64 - 9*f)*((2 - 1 + 1)*(3 + 2 - 4) + 18 - 32 + 26) + 0*f + 0*f - f in the form w*f + v and give w.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2414.7579 to 0 dps.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46650690?\nAnswer: 2, 3, 5, 518341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 = -107*x + 270 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) 2 (c) 0.3 (d) -30075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:51 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4 + 137*t**3 - 279*t**2 - 137*t + 278 = 0.\nAnswer: -139, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrrrzrrrrz. What is prob of picking 3 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10219*x + 10220*x = 20, -5*x - 35 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4299254?\nAnswer: 2, 53, 40559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1 + sqrt(304) + 1 + 5 + (-6*1*sqrt(304) - (-1 + (sqrt(304) - sqrt(304)*1))) + -1)**2*-3.\nAnswer: -14739 + 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 129*p**3 + 1566*p**2 + 3840*p + 2400 = 0. What is p?\nAnswer: -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**3 - 209*f + 4*f**2 - 11*f**3 + 5*f**3 + 5*f**2 wrt f?\nAnswer: -72*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1872) + -2 + sqrt(1872) + -4 + 2 + sqrt(1872) + sqrt(1872)*-2 + sqrt(1872) + -4)*-1 + 1)**2.\nAnswer: -864*sqrt(13) + 15138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 0.4 (b) -2\/13 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t + 6 = 0. Let g = 0.3 - -1.7. Let u = -43.7 + 39.7. What is the third smallest value in g, u, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2.3. Suppose 3*z - 4 = 2*z. Suppose -z*t = 4 - 0. What is the closest to -1 in g, t, 4\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -4, 4, -3 in decreasing order.\nAnswer: 4, -3, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.964 - -18. Let x = p + -0.886. Let l = 0.84999902 + x. What is l rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -39.2\nAnswer: -3.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.79, -3\/2, 9, 0.038, 0.4, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 3. Let t be b(-11). Let l(o) = -o**2 - 9*o - 8. Let j be l(t). Differentiate -3*p**2 - p**4 + 3*p**2 + 2 + j*p**2 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163182.\nAnswer: 2, 3, 27197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/30 - 59974953\/(-90) - (-9)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 273 = 4*l. What is the least common multiple of l and 1\/((-24)\/(-70) + (-20)\/100)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9 - 113.9. Let s = o + 105.000103. What is s rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v + 15. Let a(m) = m + 1. Let r(j) = 15*a(j) - t(j). Suppose 5*u + 23 = -2*k, -9*k + 6*k + u + 8 = 0. Give r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 9 + 3. Let v(l) = l + 14. Let s be v(-10). Suppose -s*y + 8*w = c*w - 23, 5*w = 5. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11358, -11282, -11206, -11130?\nAnswer: -11054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = 3*d. Let y be d\/8 + 26\/8. Solve -5*p + y = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*i - 2104 + 2093, -2*j - 4 = 2*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17740*o - 5085 = 17401*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3840550 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15496 is divided by 7744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + v - 32, 0 = -4*v - 12. Suppose 9*j - y*j = 4. Suppose -4*h + 6 = -j*h, 0 = 4*g + 4*h - 20. Solve -x - x = -g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 330.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8*a + 12. Suppose 2*g = -a*y + 2402, -g + 12 - 9 = 0. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 1. Let h be a(-1). Suppose -h*z = -2*j - 146, 5*z - z + 4*j = 208. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnl when four letters picked without replacement from {l: 5, f: 2, n: 13}.\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 300871 or 300886?\nAnswer: 300886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4438 = -708*a + 709*a. Calculate the remainder when a is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(540)*-3)\/((-2*sqrt(132))\/sqrt(11) + sqrt(12)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z. Let y(n) = -847521*n**2. Determine r(y(p)).\nAnswer: 5932647*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 32*c - 28.\nAnswer: -4*(c - 7)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 155\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*5 + (sqrt(39)\/sqrt(3) - sqrt(13))*5 - (sqrt(208)*3 + (2*sqrt(832) - sqrt(832) - sqrt(13)))**2.\nAnswer: -4693 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 + 16)\/(2\/(32\/2)). Suppose -14*x = -m*x + 1114. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.018 and -440923760.\nAnswer: -440923760.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - (4 - (-2 - 8)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*t + 682*t = -687*t - 140 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-706)\/(-4) + (-11)\/(-22). What is the first derivative of -4 - 174*v**3 - 4 + y*v**3 wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 20.\nAnswer: -59\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626633, -626394, -626169, -625964, -625785, -625638?\nAnswer: -625529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 75. Let n = i + 37. Let t be n\/(-3) + -1 + 29. What is the greatest common divisor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/918 and 21\/374?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 244363.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:42 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - r. Let f(p) be the first derivative of -1 + p**3 + 0*p + 1\/2*p**2. Let i(y) = 5*b(y) + 4*f(y). What is i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4931742129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7144 = 14*y - 13*y, -2*s - 35741 = -5*y. Does 66 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 3. Let t(f) = 4*f**2 - 7. Determine 9*j(q) + 4*t(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2122 or -2119?\nAnswer: -2119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbqbbbbbbbbb.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -341287 + d?\nAnswer: -341278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1536\/19 and -81 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-532*y**2 + 7*y**3 + 532*y**2)*(-2*y + 2*y + y) in the form o*y**4 + n*y**2 + h + r*y**3 + v*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let g(k) = 50 - 50 - 3*k**2. Determine g(y(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028 + -55.\nAnswer: -54.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 + 10f?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a + 8. Suppose -4*p + 19 = 4*j - j, 4*p + 21 = 5*j. Calculate the common denominator of r(j) and 69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (10 - 18) - 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6296*k**2 - 6282*k**2 + 12564*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 0, -2*i = -5*i + 3*z - 378. Let h = i + 133. Solve 2*k - h*k = m, 4*m = -20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*b**2 - 13935*b + 448904 wrt b?\nAnswer: -30*b - 13935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6235569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31640589, 63281181, 94921773?\nAnswer: 126562365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**4\/w*w)\/w*w)\/w)\/w*w*w\/(w\/(w*w\/(w\/(w\/(w*w*w**(-2)\/w*w*w)))*w)))\/((w*w*w**(6\/11)*w)\/(w\/(w\/(w\/(w\/w**(1\/3)))))) assuming w is positive.\nAnswer: w**(125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 330, -0.03, -1\/5, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(11) + -1 + sqrt(11)).\nAnswer: -12*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3675210388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -67. Let j = u + 9. Does 3 divide -2 + (-99)\/j + 6\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4317 (base 8) to base 16.\nAnswer: -8cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 0*d**2 - d**2 - 3*d**2 + 4*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**4\/16 + m**3 - 15*m**2\/8 + 24. Factor u(z).\nAnswer: 3*z*(z - 1)*(z + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t, 2*q + 4*t = 234 + 1552. Suppose 17*o - 4*o = q. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(2*l**3 - 5*l**3 + l**3) + (l**2 - l**2 - 2*l**3)*(-2 - 1 + 8)*(-163 - 90 + 420) in the form k*l + j + z*l**2 + m*l**3 and give m.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 350029*w.\nAnswer: -350029*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*n - 2052 = 0, 2*l + 3*l - 2*n = 3420. Let o = -460 + l. Suppose -2*r - 5*v + 3*v + o = 0, 5*r - 3*v = 576. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 + 402*k - 10*k**2 - 404*k + 3*k**2 in the form t*k**2 + a*k + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5051578 decades?\nAnswer: 0.005051578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 1. Let g(j) = 5*j**2 + 4*j + 5. Let t(x) = -g(x) - 6*r(x). Let i be t(-1). Let p = 8 + -7. Is i smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1848)\/(-546))\/(69\/(-897))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/95 - -200\/19. Find the common denominator of s and -59\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:54 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 8. Let c be ((-16)\/(-96))\/(2\/180*3). Determine f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12236711 - -4?\nAnswer: 12236715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7006807254 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2273355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/4 (c) -0.0439 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 8. Let i be o(7). Let v(r) be the first derivative of r**3\/3 + 5*r**2\/2 + 5*r + 3. Is v(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -469, -1065, -1903, -2983, -4305?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 8\/((-4)\/(-2)). Let t be 8\/2*2*(1 + -6). Let y be 2\/(-14)*35\/t. Which is the closest to 0.2? (a) y (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 7 - z - 3*z - 13 to the form d + n*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*s**2 - 2 + 2 - 1930*s**2 as f + b*s**2 + z*s and give b.\nAnswer: -1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 6. Let i be p(-8). Let n(z) = -z**3 + 3*z**2 - 2*z + 1. Determine n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 523 + -537. Let k = t - -29. Calculate the lowest common multiple of 85 and k.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 27*o - 2. Let p(q) = -16*q + 1. Let k(i) = -3*h(i) - 5*p(i). Let u(x) = -7*x - 6. What is -6*k(t) - u(t)?\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6501945 millennia?\nAnswer: 6.501945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32339.8 - -33776. Round i to the nearest ten.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14740039 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 0*l)*(l + 4 - 4 + (5*l + 0*l - 3*l)*(0 - 3 + 2) + 2*l + 2*l - 6*l) - 1731*l**2 + 1994*l**2 - 1184*l**2.\nAnswer: -924*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166264 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/64 - -43\/320. Let w(b) be the second derivative of -b + 0*b**2 + 0*b**4 - v*b**5 - 1\/6*b**3 + 0. What is the second derivative of w(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 46. Let s = -17 + g. Let o be (-2)\/4 + 1\/2. Solve -2*q - 12 = -5*i, o = s*i - i - 5*q - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38218.\nAnswer: 2, 97, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 684479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3749, -249 in descending order.\nAnswer: 0, -249, -3749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.075411 greater than or equal to -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 + (-970)\/(-80) - (-31)\/8. Solve 0*c = c + u + 5, o*u = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.428 - -0.572. Which is the closest to 2? (a) 3 (b) -5 (c) 0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 4) to base 14.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4034550 is divided by 2017271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92481771*r + 37133209 wrt r?\nAnswer: -92481771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1082246 - -1?\nAnswer: 1082247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**2 - 1366*p + 704*p**3 + 1367*p + 24*p**2.\nAnswer: 704*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 12:16 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81783 divided by 5.\nAnswer: -81783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87*k*m**3 + 1148*k - 28585*m**3 + 65*m**2 wrt k.\nAnswer: 87*m**3 + 1148","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -430, -429, -428, -427, -426, -425?\n\"Answer: m - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 4, -2, -6?\n\"Answer: c**2 - 11*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/18 - (-9 + 209\/22). Which is the nearest to 2\/3? (a) i (b) 1 (c) 30 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3\/5 + 448*c**2 - 58800*c = 0.\nAnswer: 0, 210, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -125\/1422 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -238. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/((-12)\/(-8) + -1). Solve 4 = -q*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161155999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 4, -6, -2, 10, -14 in ascending order.\nAnswer: -14, -6, -2, 4, 10, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 12495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 + 41*n**3 - 137*n**3 + 36*n**3.\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 + 4 = 0. Let l be 2\/4 + 4\/d. Suppose l = -4*p - 0*p + 196. What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5)\/(d\/d**3))**48\/((d**0)**(-2\/49))**(15\/4) assuming d is positive.\nAnswer: d**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -18. Suppose -5*y - 4*n = -15, -n - o = -4*y + 4*n. Find the second derivative of 23*w**3 - 15*w**y - 3*w - 11*w**3 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-4) - (-1 + 3). Let z = 2.5 - 0.5. Which is the second smallest value? (a) z (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 3*h + 12*h + 3*h + 0*h - 5*h + (-2 - 2*h + 2)*(-2 - 1 + 1) + 2*h - 5*h - 2*h to d + m*h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.714 - -0.71701. Round u to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4118442 and -137\/186.\nAnswer: 127671702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/((-21)\/(-15)) - -5)\/1. Solve 2*b + 2*x - 6 = -v*b, b + 5*x - 19 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) -5\/2 (d) -0.1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350*j**3 - 646*j**3 - 1010*j**3 + (j + 0 + 0)*(-j**2 + j**2 - 2*j**2) to the form s*j + g*j**3 + a + r*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-2))\/1*1904\/(-472192).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 262584\/315 - (-8)\/(-5). What is the highest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 25 + 33 = 0. Find the second derivative of -12*o**4 + 3*o**z - 20 - 7*o + 20 wrt o.\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 take away 5?\nAnswer: -5.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/360 + 67*s**4\/9 + 71824*s**3\/9 - 3648*s**2. Solve r(c) = 0 for c.\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 227*u**2 + 84*u + 506. Calculate m(-76).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -2\/13 (c) -1\/6 (d) -10\/9 (e) -0.348 (f) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 348754187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249*t + 906*t = -114*t - 307286 for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19847\/24368 + 3\/1523. Find the common denominator of y and -45\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -501*n + 2. Let o(a) = -a - 27329. Calculate o(q(x)).\nAnswer: 501*x - 27331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 230 (b) -11 (c) 6 (d) -3\/5 (e) -3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10*(-3)\/18)\/((-95)\/(-114)). Let a(t) = t**3 - 2*t**2 + 5*t - 4. Calculate a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9830619 millennia in decades?\nAnswer: 98.30619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 1.5893429?\nAnswer: -1.5193429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*w = t + 438, 4*t - w - 596 = 0. Suppose n - 3 = 0, -5*n + 445 = 5*m + t. Calculate the highest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, -0.03, -16, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2, y: 1, e: 14}. Give prob of sequence ph.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-7) - (-399)\/(-784) and 103\/250.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 9397\nAnswer: -37588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*c + 48*c - 23*c + 152. Let m(s) = -s + 17. Let d(k) = -3*k + 51. Calculate c*d(v) - 11*m(v).\nAnswer: -v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(5\/(50\/(-4))). Let l be ((-10)\/(-3))\/c - -1. Let b = -2\/539 + -4841\/2695. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/120 - w**5\/15 - w**4\/12 - w**3 - 6*w**2 - w. Suppose -4*g + 3*q - 1 = 0, -4*q = 5*g - 2*q + 30. Calculate v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -14. Suppose 4*u + 7 - 29 = i*k, 0 = -5*u + 2*k + 24. Calculate the greatest common factor of u and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*r + s - 22, 2*s = 3*r - 13. Let x(d) = -9*d + 118. Calculate the remainder when x(11) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (-21)\/(-4) - (-13)\/4. Let z(l) = -l - 1. Let j(o) = o + 2. Give b*z(y) + 3*j(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 11. Let v(f) = f**3 - 2*f + 1. Let j be v(g). Let c = j - -5. Let q(k) = k + 13. Let b(h) = 3. Calculate c*q(x) - 9*b(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3 + 0.101811?\nAnswer: 45.401811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-15 - -10) + (2 - 13) - (-75 - -18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-20)\/w)\/w**(-22) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 20*k. Let w(z) = 142*z**2. Calculate w(p(f)).\nAnswer: 56800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-24)*3363\/413?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2. Let b(h) be the second derivative of -h**6\/720 - h**4\/6 - 2*h. Let j(n) be the third derivative of b(n). What is c(j(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -494820918 divided by -6\nAnswer: 82470153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 429959667 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18732, 37232, 55732, 74232?\nAnswer: 92732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = -2*v, -3*b + 49 = 2*b + v. Let u = b + -7. Find the first derivative of -27*j**u + 7 + 7*j**2 - 15 - 14 wrt j.\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -4, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1751 + -462127.\nAnswer: -460376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*h + 9000 = 0, 15*j - 3887 = 4*h + 29885. What are the prime factors of j?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 1, f: 4, r: 1, a: 1}. Give prob of sequence kfar.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 919, 1289, 1659?\nAnswer: 2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9684 is divided by 8691.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*p - 17*p - 150 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/2*(-49)\/490. Sort 65, -0.4, 1, l in ascending order.\nAnswer: -0.4, l, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 1 + (-51)\/153. Suppose x = -12*w - 2 + 2. Solve 0*d + d - 4 = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266995581 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + 0.5. Suppose -5*c + 13 + 2 = 0, -5*c = -q - 8. Let p = q + -2. Sort p, r, 1 in decreasing order.\nAnswer: p, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = 2*n, n - 6*n = k - 40. Suppose 3*o + 4 = 148. Suppose 0 = -6*c + 2*c + o. Calculate the remainder when c is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.3 - 10. Let f = n + -20.3. What is the third biggest value in f, 0.3, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - a**4 + 51 + 5*a**2 - 51)*(2*a - 5*a - 2*a).\nAnswer: 5*a**5 - 5*a**4 - 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 5\/39, 45?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 29*n - 6. What is the units digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57 (b) 2\/7 (c) -10\/3 (d) -477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 12\/5, 2\/15, 2\/5, 2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -576?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43.93 or 3\/49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 4280.\nAnswer: 4280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383540, 383474, 383408, 383342?\nAnswer: 383276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(88500\/59)*444.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -5. Suppose -q + 5*u = l, -3*q - 6*u + 30 = -u. Find the common denominator of -17\/9 and (11\/(-6))\/(q\/27).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1558 - -1543)*14\/140.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151\/114 + 1\/114. Let z(t) be the first derivative of 1\/9*t**3 - 2\/3*t**2 + a*t - 2. Find c such that z(c) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213367 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1842, -15054, -50910, -120732, -235842, -407562, -647214, -966120?\nAnswer: -1375602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*a**2*p + 153098*a**2 - 32691128*p with respect to a.\nAnswer: -68*a*p + 306196*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 - 2*x**2 - 5*x + 3. Let w be m(-4). Solve 5*z - w = -7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 2 (b) 4 (c) 0 (d) 1.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 1. Let w be p(-1). Suppose -6*v = -w*v. Suppose 5*l + 5*z = 60, -3*z - 19 = -2*l - v*z. Solve -5*s - l = 2*m, 2*s - 11 = 4*m + s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/20 + (-1)\/((-2)\/77). Let q = -50 + r. Do -13 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7086115l?\nAnswer: 708.6115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -62, -6\/17, 3\/5, -4\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 46, 142, 328, 634, 1090?\n\"Answer: 5*b**3 + b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**7\/350 + 41*v**6\/600 - 73*v**5\/300 + 7*v**4\/24 - 41*v**2 + 27. Let x(t) = 0. Calculate t.\nAnswer: 0, 1, 35\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.5 (b) -5\/2 (c) 0.1 (d) 4555 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/((-4)\/(-997323*(-4)\/18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**24)\/v*v**(-21))**(-27) assuming v is positive.\nAnswer: v**1215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 - 123 + 40)*(-2*y**3 + 7*y**2 + 1 - 7*y**2)*(2*y + y - 4*y)*(-10 + 2 + 1) in the form u*y + q + p*y**3 + i*y**4 + t*y**2 and give i.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in -0.22, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -210?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4934145963 to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-317)\/(194955\/12546)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44040034 (base 5) in base 13?\nAnswer: -102aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 8 + 2)*(-3*x - x + 5*x) to the form a*x + o and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z - 1. What is h(-9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90991 or 1.7?\nAnswer: -90991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2126 or -2131?\nAnswer: -2131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3 - 11*x - 10 + x**2 - 16. Let r be p(13). What is the tens digit of ((-9)\/((-9)\/4))\/(1\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -262. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289936155?\nAnswer: 3, 5, 101, 211, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/11)\/p)**3*(p**(-26))**(11\/3))**31 assuming p is positive.\nAnswer: p**(-101711\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189285460 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 24777 to the nearest one hundred.\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 2. Let o be h(4). Let x be (-4)\/10 + 184\/o. List the prime factors of (-6)\/9*-3 + x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let c(w) = 8*w - 1. Let n(a) = 9*a - 2. Let g(j) = 5*c(j) - 4*n(j). Let l be g(u). Let i(s) = s**2 + 7*s + 1. Determine i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p*p\/((p**2\/p)\/p))\/((p**(-5\/6)*p)\/(p**(-1\/3)*p)))\/((p**(-3))**(-19\/2))**31 assuming p is positive.\nAnswer: p**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -972, -7799, -26352, -62493, -122084, -210987, -335064, -500177?\nAnswer: -712188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + -4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 3*f + 2. Let a be x(2). Find the second derivative of a*j**5 - 6*j**5 + 5*j - 5*j**5 wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -2, 3, -425 in ascending order.\nAnswer: -425, -6, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.401?\nAnswer: 6.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 22*q + 18. Is 13 a factor of f(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b8489 (base 12) to base 15\nAnswer: 9a923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29287535 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*2*sqrt(500) + (-1 + sqrt(500))*-3 + sqrt(500)) + 3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 0*m**2 - 4*m**2 + 855 - 4*m**2.\nAnswer: -6*m**2 + 855","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297 - 297. Let t(s) = 2*s + 1. Determine t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20763 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10485760*f**4 - 127204872192*f**3 - 25688997898*f**2 - 49809888*f - 24262 = 0. What is f?\nAnswer: -12131, -1\/5, -1\/1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 185 (base 11) to base 3\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117129358?\nAnswer: 2, 47, 1246057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/7 (c) -2\/15 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398.558 + -0.442. Let n = p + 392. Let y = -1 + 1. Is n <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**2 - 31*z**2 + 0*z**2 + 30*z**2 - 12*z**2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -115+-3933\nAnswer: -4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**1\/s*s))\/s)**18*s*s**(-1\/3)*s*s**3\/s*(s**(-1\/3))**(2\/201)*s**(-5)*s\/(s**(6\/5)\/s) assuming s is positive.\nAnswer: s**(-1618\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/3 - 4355*c - 13064\/3 = 0?\nAnswer: -13064, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -6.1. Let x = c - 9. Let d be (-1)\/(-2)*(-4)\/5. What is the closest to d in 0, x, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1 (c) 4 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 7:27 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2199 in -12, -0.018, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-35) + (9832\/(-14))\/4. Let b = w - -733. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(10\/8))\/((-3576)\/2235)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2.4 (b) -2 (c) 3 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 61*j**3 - 76*j + 377*j**3 + 76*j + 96*j**3.\nAnswer: 412*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -37. Let f be x*3*(-18)\/27. Suppose l - v - 38 = 26, 5*l - f*v = 321. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/75 and -9\/35?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350 + -2044305?\nAnswer: -2045055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 5*c + 3. Let g(h) = 1. Let z(x) = 4*g(x) + n(x). Let y be z(5). Let p = y - -108. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {q: 2, x: 1, y: 10, p: 2, w: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 29*p**2 - 26*p - 51*p**2 + 9*p**2 + 12 - p**3. Let n be g(-8). Is n at least -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7826 and -0.12.\nAnswer: -0.453912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4125679*t**6 - 2214*t**2 + 15*t - 4?\nAnswer: -495081480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + v)*(-4 - 2 + 5)*(1 - 32 + 69).\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57053153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l + 4*l - 4*l + l. Let r(y) = 4*y. Let a(c) = -5*p(c) - 6*r(c). Let w(x) = x. What is a(w(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 13. Let b(t) = 14*t. What is b(q(o))?\nAnswer: -14*o**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4629 + 4675 + (0 + -3 + 0 - -16)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Solve -2*r = -5*p + 14, u*r = -3*p + 7*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - n**2 + 51*n + 182. Let g(b) = -2*b**3 + 31*b + 90. Determine -5*g(o) + 3*j(o).\nAnswer: -2*o**3 - 3*o**2 - 2*o + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464086827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-7)\/m)\/m)\/m*m)\/(m**(-2\/3)\/m))\/((m**5\/m)\/m**(2\/3)))\/(((m*m**(3\/5)*m)\/(m\/((m*m**0)\/m)))\/(m\/m**(-1))**(3\/11)) assuming m is positive.\nAnswer: m**(-1934\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.35 times 0.1?\nAnswer: -0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99)*-3 + -1*(2*sqrt(99) - sqrt(99)))\/((sqrt(72)\/sqrt(2)*-2)\/sqrt(4)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125980076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-2457) + 2735\/195. Is 570\/43 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096672 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 287 - 11249 = 0. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(170\/(-30))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1421 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*6 + 0 + -2.\nAnswer: -2 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q - 51*q + 1 + 39*q.\nAnswer: -57*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 1500. Let u be (a\/(-20))\/(6\/(-32)). Suppose g - u = -4*g. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*f + 323. Let w(n) = -261*n**2 + 81. Let d(a) = 13*a**2 - 4. Let k(s) = f*d(s) + 4*w(s). Let h(y) = y**2 - y**2 + y**2. Calculate k(h(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -10*k + 13*i + 5, 0 = -5*k + i - 46 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 66352\/13572*6*12\/16\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7514\/(-1445))\/(1\/5*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - 18*f - 38. Let j be (1 + (-7)\/5)*-45 + -3. Let l be w(j). Let o = l - 301. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14886 divided by -2\nAnswer: 7443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -79.55. What is h rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 + 265 = -14*v - 248 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (3 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h + 0*h + 4*h + 18*h to the form d*h + j and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2714998 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173184539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 995*m**3 - 16*m + 925*m**3 + 73*m**2 - 738*m**3 + 15*m + 17 wrt m.\nAnswer: 7092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16771920 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 2*m + 109 + 0*m + 12 + m. Does 17 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43.77, 0.4, 1, -1197?\nAnswer: -1197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11542.2 + -11542. What is the nearest to 38 in 2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -260, -533, -802, -1067, -1328, -1585?\n\"Answer: 2*x**2 - 279*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 10*z + 20. Let r be k(12). Let p be (-3 - (3 - 6))\/(3\/(-3)). Suppose 213 = 5*c + 3*w - 0*w, p = c - 2*w - 40. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/10*2 - -1. Let p be 1\/(5\/5) - (5 + 6 - 3). Which is the nearest to z? (a) -5 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(7\/2))**(-2\/43) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffoffffofoffofooof. What is prob of picking 3 f and 1 o?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jubbbjbbdnbbbbjbbbd. Give prob of picking 2 j and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170 in -2\/9, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = 2*r + 198, 6*v - 1565 = -1625 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 443*(1 - 2\/4)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from xjzj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126790811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1\/4*d**4 - 1\/3*d**3 + 0*d**5 - 1 - 5*d - 1\/30*d**6 + 0*d**2. Let x(k) be the first derivative of s(k). Factor x(a).\nAnswer: -a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*o**2*u - 731*o**2 + 8*u**3 wrt u.\nAnswer: -38*o**2 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -17*x + 4. Let s(n) = -8*n + 3. Determine 5*s(k) - 2*z(k).\nAnswer: -6*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42022400989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 12 = -0*o - 2*o, 0 = -4*o + 2*q + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 29.3. Let h = 4.5 + -2.5. Let k = z + h. What is the third biggest value in -1\/6, k, 1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 142022*l + 426057.\nAnswer: (l - 142019)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582*x**3*z**3 + 17*x**3*z**2 + x**3*z - 2*x**2 - 20*x*z**3 - 226*x*z + z**2 wrt x?\nAnswer: -3492*z**3 + 102*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61636939 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31658 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - (-5)\/(-70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and (-13027)\/202734 - 10\/(-180).\nAnswer: 17699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 14*v - 3. Let p = 18 - 13. Let n be a(p). Suppose -j + n = 2*i, -5*j - i = -86 - 115. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqu. Give prob of picking 1 u and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**7)\/(p*p**(4\/5)))\/((((((p**(-4)\/p)\/p)\/p)\/p)\/p)\/p*p**(-2\/11)\/p) assuming p is positive.\nAnswer: p**(186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113212 (base 4) to base 2.\nAnswer: -1010111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564910886?\nAnswer: 2, 3, 7, 11, 3387253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 103. Let r(h) = -h**3 - 2*h**2 - h - 1. What is r(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2710 by 5.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 6*u - 4. Let o(a) = 5*a**2 - 13*a - 5*a**2 + 3*a**2 + a**2 - 9. Determine 4*o(p) - 9*y(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 4. Let y(s) = -s**2 - 4*s - 2. Let z be y(-3). Let w be -3*8\/(-3) - z. What are the prime factors of b(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r - 169. Calculate j(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/3789786 and -68\/631631.\nAnswer: 3789786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 7. Suppose 0 = 4*z - 12, -3*k - 20 - 1 = 4*z. Let i = k - -17. What is l(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -5, -72 in decreasing order.\nAnswer: -5, -29, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 + 3*k**2\/2 + 2*k + 2. Let y be l(3). Calculate the highest common factor of y and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/(a\/(a*a*a**(2\/27)*a)))**41)**(-7) assuming a is positive.\nAnswer: a**(-31570\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -s + 3*s + 46, 2*c + 8 = -3*s + 51 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(567) + (sqrt(567) - ((sqrt(567) - (-5 + sqrt(567)*-4)) + sqrt(567)))) + -3)*4.\nAnswer: -432*sqrt(7) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 5*f, -f - 2*r = 1 - 5. Let h be -3*(-2)\/(-3) + f. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190338 (base 15) to base 2.\nAnswer: 100101000110011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2100, -4100, -6088, -8058, -10004?\nAnswer: -11920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2*j\/(((j*j\/(j\/j**(-2\/25))*j)\/j)\/j)*(j\/j**(1\/2))\/j*j\/(j**(6\/5)\/j)*((j\/(j**(9\/7)*j))\/(j**13*j))**(1\/9) assuming j is positive.\nAnswer: j**(5297\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:27 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 503121*m**3 - 3*m + 25 - 503116*m**3 + m**2.\nAnswer: 5*m**3 - 3*m + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457796945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/53 - -5377\/212. Let a = -1998 + 9933\/5. Find the common denominator of a and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - h**2 + h + 2 - 2*h + 11*h. Let d be z(8). What is the second derivative of -d*y + 6*y**3 - 5*y + 2*y wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*s**5 - 2*s**3 - 9*s**2 - 935481*s.\nAnswer: 2040*s**3 - 12*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 186*d - 63*d + 122*d**2 - 66*d - 57*d. Let n(v) = v. What is g(n(q))?\nAnswer: 122*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-35) + 522\/14. Let l = b + -35. Suppose 4*j + l*w + 2*w - 892 = 0, 4*j - 886 = -w. What is j rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -26571, -1 in decreasing order.\nAnswer: -1, -3, -4, -5, -26571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 - 5*j - 3. Suppose v + 2*n = -6 - 7, -2*v = -5*n - 19. Let k be t(v). What is the nearest to -3\/5 in -2, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 7\nAnswer: 144\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let a be (-4 + 6)*1\/w. Is a*(11 + (3 - 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 23. Let v be p(-8). Let o = -17\/5 - -386\/115. Is o <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 21. Suppose -m*i + o + 34 = 0, -3*i + 2*o + 26 = -3*o. Calculate the highest common factor of i and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*a - 2*w - 7405, a + 3*w - 2451 = 0. Suppose -a = -4*i - 183. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 3*w**2 - 3*w**2)*(-w**3 - 3*w**3 + w**3)*(-29 - 4 + 5).\nAnswer: 252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2935, -5869, -8803, -11737, -14671?\nAnswer: -17605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(60) + sqrt(120)\/sqrt(2) - sqrt(60) - sqrt(60)))\/(sqrt(216)\/sqrt(8) - sqrt(3)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183.212 + -178.7120088. Let r = u + -4.5. What is r rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -296. What is the units digit of ((-7)\/1)\/(-5 + m\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -406, -407, -408?\n\"Answer: -b - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**9\/241920 + j**8\/80640 + j**5\/30 + 2*j**2. Let h(m) be the third derivative of x(m). Factor h(a).\nAnswer: a**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + b + b + 4 - 4 + (-3*b - 3*b + 5*b)*(-1 - 2 + 2) - 1267*b + 147 + 137 - 284 - 715*b + 209*b.\nAnswer: -1770*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 710470.2 and 185700?\nAnswer: 524770.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 108\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9443e6 - e?\nAnswer: 9443d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -125. Suppose -5*z - 2*d = -u, -4*z + 27 = 2*d - 61. Solve -3*j - 2*j = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 160, 161, 164, 169, 176?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**4 + 22*t**3 - 32*t**2 + 24*t + 4. Let v(u) = -3*u**4 + 23*u**3 - 31*u**2 + 24*u + 5. Let x(g) = 5*s(g) - 4*v(g). Find m such that x(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -7. Let n be 2 + (0 - o) - -4. Suppose n*j + 2*a = 0, 3*j = -0*a + 3*a + 21. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*o - 3*x - 15 = 345*o, -3*x - 15 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -1045*b**9\/252 + 406*b**5\/15 + 453*b**2. Find the third derivative of w(q) wrt q.\nAnswer: -250800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.0564058 - 0.5377.\nAnswer: 18.5187058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-48)\/(-16)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*i**2 + 10*i + 2*i - 629*i**2 + 1230*i**2.\nAnswer: 65*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2370\/(-27)) + (-6)\/(-27). Suppose -4 = -5*t + 6. Suppose 0 = 4*i + 2*l - 46, 2 = -t*l + 8. Calculate the greatest common divisor of m and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 6086*b + 60726. Determine r(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18861 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-159) + ((-20)\/10 - ((-65)\/3)\/5)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2006*h**3 - 3969*h**3 + 2146*h**3.\nAnswer: 183*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1201524 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 + 7*g + 8. Does 14 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. Suppose 3*a - 2*a - 5 = 0. Suppose 0 = p - 3 - 11. Solve -4*v = -3*z + p, -a*z + b*v = 5*v - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13327 - -26658. List the prime factors of p.\nAnswer: 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 298\/(-42) - 32\/(-336). What is the hundreds digit of (-48)\/112 + (7908\/g)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-10)\/4)*(-5)\/(-910)*8\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305*11.\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 7. Let o be u(-3). Let l be o\/(-6) + (-395998)\/(-3). Round l to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-24) + (-2 - 4\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -745*r - 294 + 35 + 6964 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcu when three letters picked without replacement from {k: 1, c: 1, b: 2, t: 5, u: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 2:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(5) + 0) + 5.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobbstqgottob. What is prob of sequence gs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -64 (b) 260 (c) -59\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*f**3*x**2 + 43*f**3*x - 4*f**3 + f**2*x**2 - 4939185 wrt f.\nAnswer: -108*x**2 + 258*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 2*i - 1. Let d be p(1). Find the common denominator of 2 + (-123)\/72*d and -43\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose 4*f - 10 - 38 = y. What is the units digit of ((-18)\/f)\/(2\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 282, 490, 608, 618, 502, 242, -180?\n\"Answer: -3*d**3 - 27*d**2 + 310*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - p**3 - p**2 - 3*p**2. Let w(x) = -2*x**3 - 5*x**2. Let z(o) = o**3 + 4*o**2 - 4*o + 3. Let r be z(-5). Give r*w(n) + 5*k(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p - 1. Let j be r(3). Let y be -2 + j - (-10)\/(-115). Sort -4, 5, y.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48224581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 0.499, 9, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -5*a, -2*m - 2*a + 4 = 0. Suppose 3*o = -k + 28, -16 = -2*k - m*o + 40. Let d = 28 - k. Solve 5*z - 3*z - 8 = d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 6. Let s be j(6). Let u = s + -6. What are the prime factors of (0 - (-1)\/3)*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 + 368 + 19 - 340*u**3.\nAnswer: -340*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, -29682, 1\/3, -1.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 + 2 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 3. Let q be b(0). Let o = q - 1. Suppose 3*m = -3*v + 24, -o*m + 19 = 5*v - 18. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9\/20, 0, 5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccecezeeeczezzz. What is prob of sequence ee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 111 = 6*x - 5*x, k = -5*x + 33. What is the remainder when 134 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t = 2*g - 77*t + 35, -2*t = 4*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 19434410574.\nAnswer: -19434410573.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = -16*j + 21*j, -3*k + 5*j = 12. Which is smaller: k or 3\/104?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126.4865 + 0.0865. Let o = -126 - x. Which is the third smallest value? (a) -1 (b) 0.2 (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/(-3)*-6*((-30)\/55 + (-15327)\/(-25740))?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458119867 a multiple of 1233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -10647 - 8*y**2 + 210*y - 1217 + 839 + 7*y**2 = 0?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**2 + 15*g + 95. Determine u(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let q(j) = 72702318*j. What is q(w(t))?\nAnswer: 72702318*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*i + 310, -i + 3*s + 52 + 54 = 0. What is the greatest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24184910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**3*f*g**2 + 6*d**3*f*g - 4*d**2*f**2*g**2 + 3*d**2*g - 2*d*f**2*g wrt g?\nAnswer: -20*d**3*f - 8*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 + 1 - 1)*(1 + 1 - 4) + 9*r**2 - 4*r**2 + 11*r**2 - 22*r**2 - 27*r**2 + 3*r**2 in the form a*r + c*r**2 + u and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4067892 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -29, -37, -41, -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0084103312 * -1.\nAnswer: -0.0084103312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89399*c - 44662*c - 45536*c.\nAnswer: -799*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5287580?\nAnswer: 2, 5, 59, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(4\/88). Suppose 0*f = 2*f - 346. Suppose 4*z - f - h = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from appppappzzaappzzpaa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 694 + -654. What is the least common multiple of 136 and u\/16*-34*-1?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 806?\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.3. Let p be (-2)\/(-8) - (-3)\/6. Let v = -862 + 1725\/2. Which is the third smallest value? (a) p (b) v (c) -2\/3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*o - 16 = 0, 9*o - 8*o = -2*g + 12. Suppose 2*k + 2*k - a = 28, -k + g*a = 12. Calculate the remainder when k is divided by (-2)\/(-4)*(1 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -23)\/(6\/(-57)). Let l = 1025 + c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52\/37 + -6793\/1332. What is the common denominator of b and -15\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x**2 + 4*x - 2. Let o(m) = 7*m**2 - 2*m + 1. Determine 7*o(j) + 4*q(j).\nAnswer: -3*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 10*q**2 - q - 7. Suppose 3*h - 76 - 24 = -5*p, -5*h + p = -148. Suppose 0 = -2*i - h + 10. Let f be c(i). Sort f, -2\/3, -1.\nAnswer: -1, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 1380?\nAnswer: -9660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 7*v - 132. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (48 - 48 - (-1 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o - 2*o - 3*o)*(-3 - o**2 + 3)*(4 + 6 - 52) in the form h*o**2 + u*o + a + x*o**3 and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -59*q + 7. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.636 + -53.610721. Round l to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, v: 4, q: 5, s: 7}. What is prob of picking 1 q, 1 v, and 1 j?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2224753334, -2224753335, -2224753336, -2224753337, -2224753338, -2224753339?\nAnswer: -2224753340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2*z**2 - z**2 - 2*z - 13 + 16. Let p be f(0). Suppose p*b = 6*h - 4*h + 33, -11 = -b + 2*h. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 27*n**2 - 57*n + 1147. Calculate w(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026461246 to 5 decimal places.\nAnswer: -0.02646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2*(-2)\/2. Is (2\/4)\/(s\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 4, 1, -4, -0.624, -98, 5?\nAnswer: -0.624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 32*y**3 + 219*y**4 - 44*y**2 - 413*y**4 + 210*y**4 - 32*y**3 to the form z*y + x*y**2 + b*y**3 + l + a*y**4 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 11\/2*b**6 + 0*b + 23 - 15\/2*b**2 + 0*b**4 + 0*b**3 + 0*b**5. What is the second derivative of i(q) wrt q?\nAnswer: 660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1051 + -1047. Solve -4*h = -v*o - 6*h + 24, -3*o = -h - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*k - 170*b + 136*k wrt k?\nAnswer: -5*b + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/114 and 105\/22?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - 0 - (10 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/9 - 164572*r\/3 - 7899712\/9 = 0. Calculate r.\nAnswer: -16, 493732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2176 take away 337330?\nAnswer: -337330.2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*f - 20, 5*w - 5*f = 14 + 26. Solve w*v = 43 - 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1826412, -7305628, -16437648, -29222472, -45660100, -65750532?\n\"Answer: -1826402*f**2 - 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.575, -3, 4 in descending order.\nAnswer: 5, 4, 0.575, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*r + (-4*r + r + r)*(-34 - 363 + 59 - 201).\nAnswer: 1074*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 34. Let u = -27 + 29. Suppose 5*f - 6*m = -m + 135, 110 = 4*f - u*m. Calculate the highest common divisor of h and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -267\/7 (b) -5 (c) -4 (d) 4\/365 (e) 1\/4 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163)\/(-10) + (-35)\/((-875)\/(-400)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1256 in 1\/4, 0.5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 2*x**7\/7 + 11*x**3\/3 + 8. Find the third derivative of k(w) wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808 (base 11) in base 3?\nAnswer: 101110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y - 1. Let j(v) = -3*v**2 + 11*v - 14. Let a(w) = j(w) - 4*r(w). Is a(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/((-1)\/(10\/(-15)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 28 = 4*n. Let f = -12 + n. Is f bigger than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77d + 0?\nAnswer: -77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 8*k - 12 = 0, 612*u - 617*u - 20 = 3*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9034*w**2 + 91868*w**2 - 7000*w**2.\nAnswer: 75834*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 258\/(-43)*3*3\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6)\/((-2)\/(-6)). Let z be -1 - (-30)\/(3 + 0). Let f = z + b. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461338 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 13) in base 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57.4 > -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:27 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 (base 9) in base 4?\nAnswer: 313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - -1)*12\/24. Suppose o + d*v = -0*v + 59, -v + 127 = 2*o. Let l be (-5 + 85\/25)*-20. Calculate the greatest common divisor of l and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16466977*p + 12285 = 16466788*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/((-6)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 260 = 31*k. What is the remainder when ((-18)\/4)\/((-4)\/40) is divided by 75\/(-150) + k\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**3 + 21*j**3 + 17*j**3 + (-2*j + 3*j + 3*j)*(-3*j + 3*j + j**2).\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 363*s + 349. Does 15 divide f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*n + 3*w, 4*n = w - 2 - 1. Is -2\/7 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/9, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/902)\/((-49)\/(-147))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.2 + 9. Let m = -1 + w. Let d = 0.2 - 0.3. Which is the smallest value? (a) d (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*q**3 - 451*q**3 + q + 143*q**3 + 147*q**3 + 124*q**3.\nAnswer: 61*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 37791\/4641*(-14)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7444 in 2\/15, 4, 1\/8, 6.2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298764 by -74691.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-8) + (-26)\/8 + 3. Let b be 25 - (-1)\/(-3)*s. Let f = -14 + b. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2 (c) -1\/6 (d) -89 (e) -13\/6 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*g + 5 + 10, 5*f - 5 = -5*g. Let s(q) = q**3 - q**2 + 2*q - 2. Let m(v) = 4*v**3 - 2*v**2 + 6*v - 7. Let w(c) = 2*m(c) - 7*s(c). Determine w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from kklqcikkq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + ((1 + sqrt(180) - sqrt(180) - sqrt(180)) + -1)**2 + sqrt(180))*-5 + -1 + sqrt(80) + (sqrt(80) + 2 + sqrt(80) + sqrt(80))**2 + 2.\nAnswer: -175 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let t(y) = 14 - 12*y - y**2 + 22*y - 18*y. Let q(j) = -t(j) - 6*v(j). Factor q(k).\nAnswer: (k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*1 + 3\/(-3). Let r(v) = 4*v**3 + 5*v**2 - 7*v - 8. Let h(q) = -5*q**3 - 4*q**2 + 8*q + 8. Let n(p) = -3*h(p) - 4*r(p). Is n(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 21. Let j be u - (-1 - -1)\/(-2). What is the units digit of (-318)\/(-6) - (j + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.7 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134131 (base 5) to base 12.\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -563\/9 - -63. Let 2\/9*l**5 - 2\/9*l + 0 + 4\/9*l**4 + 0*l**3 - p*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 1713?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 154, 0, -42, 1, 2, 4 in decreasing order.\nAnswer: 154, 4, 2, 1, 0, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 18. Let a(z) = -1. Determine -36*a(p) - 2*c(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3182 - 11706 = -8*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11795.62833 rounded to the nearest 100?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. Let m = -1 + p. Suppose 0*x - x = y - 12, -x + m*y + 32 = 0. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13037304 by 84.\nAnswer: -155206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -583044 less than or equal to -583055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 25*k**2 + 63.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/180 + o**5\/60 - 9*o**4\/2 + o**3\/3 + o + 19. Let p(w) be the third derivative of m(w). Give p(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 6719*n**6\/120 - n**5\/30 - n**4\/12 + n**3\/3 + 29*n**2 + 65*n. Find the third derivative of q(u) wrt u.\nAnswer: 40314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.922*0.5.\nAnswer: -2.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c3 + ba66?\nAnswer: c159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 1 - 13. Let h = -17 + 13. Let m = h + 8. Solve -m = p*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 18908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 10*d - 10 - 6 + 0 - d**2 - 4*d. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**0\/f*f)*f)\/((f\/f**(5\/2))\/f))\/(f**(-14)\/f*f\/(f**(9\/7)*f)*f*f))**(14\/9) assuming f is positive.\nAnswer: f**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848610 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 t = 699.8839993 - 700.584. Let v = 0.7 + t. What is v rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - 6 = 0. Suppose -i*a = w - 0*a + 13, -4*w + 4*a + 28 = 0. Suppose -30 = -19*x + 16*x. Solve x = -3*y - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 721720 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20\/131 - 10016\/393. Find the common denominator of 70\/3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:00 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 16) in base 2?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/51*2788\/164. Solve 24 = -i*f + 8 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 14. Let c(a) = a + 15. Let y(o) = -3*c(o) + 4*q(o). Let h be y(-8). Solve -3 = -p + 2*j - 6, 3*p - h*j = 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 8*c**2 + 9*c + 1. Let y(o) = -4*o**3 + 12*o**2 - 13*o - 1. Calculate 7*g(h) + 5*y(h).\nAnswer: h**3 + 4*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754755 is divided by 1149.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 5, -0.4, -26\/33, 102, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 74463443 divided by 171971\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2439169, 4878339, 7317509?\nAnswer: 9756679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 913*x = -0*m - 912*x + 90, -90 = -5*m + 5*x for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 - 2*u**2 - 29*u + 6. Let m(a) = -a**2 + a + 2. Give 2*m(g) - y(g).\nAnswer: -6*g**3 + 31*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 2*f + 91 - 79, -3*s + 11 = -2*s + 8*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113123241 - 400?\nAnswer: 113122341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3377*k = 3372*k + 4*h + 19, 0 = 4*h + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (42 - 2)) + -72 + 112?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2873683262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2697 + 26903\/10. Find the common denominator of (-209)\/35 - 12\/(-30) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 1. Suppose -6 = -3*m - 12. Let x be v(m). Let q(i) = -x*i**3 + 12*i**3 - 3*i - i**2 + 2*i + 16. Give q(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-6) - -2)\/((-2)\/(-12)). Suppose -h + 92 = -r, 146 = z*h - 3*r - 227. Suppose 0 = -3*i + 5*o - 15 - 52, -4*i = o + h. Which is smaller: -25 or i?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/9, 2\/3, 0, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 19. Suppose -5*u + 3*s - 45 = 0, 0 = 2*u + 2*s + 2 + 16. Let k be a(u). Is -11 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 2\/5, -0.3, 48.\nAnswer: -0.3, 2\/5, 48, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 864887 or 864882?\nAnswer: 864882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8832658 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11 and ((-11)\/(-22))\/(2\/174).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 20, 13, 2 in decreasing order.\nAnswer: 20, 13, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Suppose 4*f + 8 = -0*f. Let d be 6*(-12)\/(-40) + f. Put d, -3, p in decreasing order.\nAnswer: p, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvvwvwwwwvqw. What is prob of sequence vw?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(14)*1 + sqrt(14))*-1)\/(-4*sqrt(28) - sqrt(7)) - (3 + 2*sqrt(200)*5)) + 0).\nAnswer: -3592*sqrt(2)\/9 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:20 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 5*m**2 + 4*m + 3. Let b be 80\/(-4)*(-2)\/8. Is x(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q + 57. Let l be v(8). Let i(y) = 4*y + 68. Is 7 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4369 - 4700 + 2754 = 1263*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhy when four letters picked without replacement from hhytyhyhhzyyyy?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 27*g**2 + 5*g + 2. What are the prime factors of a(5)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000470 and 41019270?\nAnswer: 41019270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6986065*p**2 - 22580425*p?\nAnswer: 13972130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10620340 rounded to the nearest 100000?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 647 = -5*v, 3*m - 370 = -3*v + 23. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (3 - 25)) + (-1 - (2 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -1)**2 - (-1*(sqrt(17) - sqrt(68) - sqrt(17)))**2)*-1.\nAnswer: -1990 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.41759 - -0.41759. Let z be 2\/(-7) - (-104)\/(-28). Which is the closest to r? (a) 1\/2 (b) -5 (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 163*l**2 - 2*l**3 - 912*l**2 + 9 - 37.\nAnswer: -2*l**3 - 1075*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -311 + 482. Suppose 5*h - 642 + k = -3*u, 0 = -5*h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 5, -2\/13, -4, 20308 in descending order.\nAnswer: 20308, 5, 0, -2\/13, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2392.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 8*a\/3 - 4\/3.\nAnswer: 4*(a + 1)*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40001290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Calculate b(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (630\/12 + -2)*-26. Let w = -7925\/6 - t. Calculate the common denominator of w and 83\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5474508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**4 - 23 + 23 + (5*y + 6*y + 4*y)*(8*y**3 - 19 + 19).\nAnswer: 127*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 6*y**2 - y + 5. Suppose 440 = 29*v - 285. Calculate the remainder when s(4) is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2829*o - 40 = 2819*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95450000 rounded to the nearest 100000?\nAnswer: -95500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2547361, 10189458, 22926287, 40757848, 63684141?\n\"Answer: 2547366*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 15412 + 7945 + 8405 in the form k*g + c and give c.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p + 12. Let n be v(-8). Solve -2*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 < -1780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o + 10*o - 5392*o**2 + 16 + 5393*o**2.\nAnswer: (o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 193*o**4\/4 + o**2 - 158*o + 238. Find the first derivative of g(s) wrt s.\nAnswer: 579*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 95.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -3.43.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 3\/5 (b) -2\/5 (c) 1\/3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 18*x**2 - x - 1. Let j be f(-1). Let c(i) = -4*i + 37. Let l be c(8). Solve -l*s - 2 = n - 10*s, -j = -5*n - 3*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -u, -5*h + 2*u + u + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26688?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 10 = -2*y, -11*n + 10 = -8*n - 2*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 1 + -1 + -1 + sqrt(275) + sqrt(275)*1 - (-3*(0 + sqrt(275))*-3 + 0))**2 + 0.\nAnswer: 60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let f(r) = 6783*r. Let d(h) = -67*h. Let u(q) = 399*d(q) + 4*f(q). Give y(u(t)).\nAnswer: -318402*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14938\/(-264) + (-18)\/8. Which is greater: -60 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 z, and 1 j when four letters picked without replacement from zcznjcczjzcn.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 - (-4 + 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + w - 8 = 0, d - 3*d + 2*w = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 at least 798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 125?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 2*m - 16, 11*y + 3*m = 2*y + 48 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144192 - 63473. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 33 + (-11 - -10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 - c + 0*c**3 - 2*c**3 + (4*c**2 + 2*c**2 + 4*c**2)*(72*c - 10*c + 19*c).\nAnswer: 808*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -72, -104, -136, -168, -200?\n\"Answer: -32*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9669.\nAnswer: 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 68\/204*(52 + -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283\/1176 + -17\/147. Which is the second smallest value? (a) -12\/35 (b) 1\/12 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -215*(3 + -4)\/5. Which is the third biggest value? (a) -4 (b) 3\/4 (c) p (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 1223, 2554, 4417, 6812?\nAnswer: 9739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11900.3 to the nearest 10.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = -46*h + 1016870. Round h to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*t - 20, 0 = -c + t + 3*t - 20. Suppose c = -4*k + 2 + 6. What is the smallest common multiple of (-2)\/9 + 4\/54*246 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/11857160 and 111\/111860?\nAnswer: 11857160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-7)\/((-70)\/(-10190)). Let z = -3059\/3 - o. Let a = 264\/19 - 1160\/171. Calculate the common denominator of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 17, 70, 163, 308, 517, 802?\n\"Answer: 2*s**3 + 2*s**2 + 5*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15431, -30863, -46299, -61739, -77183, -92631?\nAnswer: -108083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c50c9 + 10?\nAnswer: -2c50b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 23.082. What is y rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - 0) + 1 + 1037. What is the highest common factor of 50 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.222 - 99.222. Let v = s - -42. Let y = 56.99987 + v. Round y to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3440355 (base 6) to base 16.\nAnswer: 2b10f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 97155?\nAnswer: 291465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgcggccgggezcgszzgzz. What is prob of sequence csg?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367 + 0*s**4 - 2*s + 2*s**4 + 0*s**3 + 349 - s**3 + 2*s**2 to u*s**3 + k*s + l + q*s**2 + f*s**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 3 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y. Let r be p(-2). Let z(j) = 0 + 2*j**2 - r*j - 3 - j**2 - 1. Let b be z(6). Put b, 0, 2 in ascending order.\nAnswer: b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 2*x - x - x + 5*x + 1 - x - 1 + (-3*x + 0*x + x)*(-2 + 0 + 1))*(3*x**2 + 0*x**2 - 2*x**2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*c - 20 = 0, -18*k - 52 + 108 = 4*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/373 and -27\/4103.\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6619 = 2*o - 1763, -30 = 5*c. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:22 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/3)*k*k)\/(k*(k*k\/(((k*k*k**(-4\/7))\/k)\/k))\/k*k)*(k\/(k**1*k*k))**36)\/((k**(-2\/5)*k)**12\/(k**4*k\/((k*k**(2\/11)*k)\/k*k))) assuming k is positive.\nAnswer: k**(-89651\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1. Let i(w) = -239776*w - 14. Let h(a) = -i(a) - 4*t(a). Let r be h(6). Suppose 2161334 + r = -3*k. Round k to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 1. Let p(g) = 4*g + 7. Let o(t) = p(t) - 5*r(t). Let j be o(2). Is -2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/((-5)\/(-45)). Suppose -4*i + 7*k - 13 = 2*k, 4*i = -5*k - 43. Put -4, i, w in ascending order.\nAnswer: i, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 19*r + 56. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15622 - -16426. What is the lowest common multiple of 48 and l?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3301 or -16512\/5?\nAnswer: -3301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 21*o = 48. What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1706173166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58369413 divided by 68109?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -47 (b) 1\/5 (c) -0.3 (d) 0.06 (e) 0.082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5*u + 520, -x + 6*u = 2*u - 109. Suppose -x - 127 = -4*g. What is the greatest common factor of 29 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -1041, -1568?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 = 2*r, k = r - 55 + 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296986 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4346 - 1202. Calculate the lowest common multiple of s and 22.\nAnswer: 34584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5919944 divided by 2959972.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -415*l**2\/2 + 2*l - 4. Let d be f(2). Let c = 1239 + d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 15604?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwjjajjjjqjwwwqw. Give prob of sequence wwww.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.091? (a) 5 (b) -1.7 (c) 0.5 (d) 3\/10 (e) 1\/5 (f) 15\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by -6\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(189\/(-4))*(-165)\/110?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54151, 108326, 162501, 216676?\n\"Answer: 54175*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*i = 12, -g - 2*g = 5*i - 38. Calculate the highest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 122575 - 24131 = 0. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.832 + -31. Let j = -4.009 - m. Let o = 0.081 + j. Round o to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 886.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770212958 a multiple of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -3. Let j = 19\/3 - 92\/15. Which is the closest to 1\/4? (a) s (b) j (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 4*l, 6*q - 5*q - 1 = 2*l. Is 6\/73 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*n + 15*n - 205*n)*(2*n**2 + 2*n - 2*n) + ((-4 - 2 + 3)*(1 - 4 + 1) + 1 + 5 - 4 + 3 - 1 - 3)*(-5*n**3 + 17*n - 17*n).\nAnswer: -599*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Let b be l(-4). Suppose -4*f = 4*u, -4*f - 10 = -b*u + 11. Suppose -5*w - 2*v = -216 + 53, 101 = u*w + 2*v. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-26)*(-7)\/(1505\/(-559)).\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(-6\/31)\/((a\/((a\/(a*a**(-4)))\/a))\/(a**1*a)))\/((a**(3\/7)*a*(a*a*a**(-5))\/a*a)\/(a*a**0\/a)**(4\/9)) assuming a is positive.\nAnswer: a**(1293\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20 + (-36)\/90?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18465?\nAnswer: 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - -3.4. Let h = -17 - -12. Let z = h + s. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1956428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -16*v + 408. Let l = 1 + -6. Let d = 0 - l. Calculate the remainder when v is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnnn when four letters picked without replacement from nddndndnnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 5*n**3 - 17744*n**4 + 35494*n**4 + 2*n**2 - 2*n - 17747*n**4 - 21 in the form p*n**2 + g*n**4 + o + b*n**3 + y*n and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 7*c - 8*c - 5212, m + c - 5218 = 0. Is (m\/10)\/((-1)\/2)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40503 + -485969\/12. Let w = -22\/189 + -4049\/4725. Find the common denominator of w and c.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2137, 5, -5, 2 in ascending order.\nAnswer: -2137, -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010657 rounded to seven dps?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3\/7)*49\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from kxpjcnpx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2.8. Let o = -1.8 - -2. Let z = u - o. Put -2\/5, z, -0.3 in increasing order.\nAnswer: -2\/5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/19, 2\/11, 194, -38, -5?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/391 and 111\/7820.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/(-756))\/((-3)\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8030846 divided by 4274.\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose o - 23200000 = -4*t, h*t = 5*o - 0*o + 23200000. Suppose m - t = 3*m. What is m rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*a - 898*a + 38494 + 123668 = 0. Solve 685 = 8*d + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-14))\/(((-3)\/(-21))\/(-1)). Suppose -m*s = 4*s - 1026. Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38377*v - 32*v**3 - 38377*v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-five thirds of a decade?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*c = 1 - 3, -17 = 4*i - 5*c. Find the third derivative of -8*u**i - 8*u**2 - 2 + 25*u**2 + 40*u**3 + 0 wrt u.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2007 and 2382291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 14.3, -0.4, -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 3. Suppose 0 = 4*y + 14 + 6. Let j = g - y. What is the nearest to -1 in j, 0.1, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3938*b - 8 = 3934*b. Solve -12 = b*i - 2*z, -3*i + 1 = -z + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 15*b + 22. Suppose 0 = -6*h + 2*h - 5*z + 53, -4*h - 3*z + 43 = 0. Calculate the least common multiple of h and f(14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -51 - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 5*r - 106. Let q = 334 - r. Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 5, z: 2, u: 2, i: 2}. Give prob of sequence zu.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*d*f**3 + 129*d*f**2 - 205*d*f + 32*f**3 + 23405*f**2 - 2 wrt d.\nAnswer: 52*f**3 + 129*f**2 - 205*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308647*q**4 + 52*q**2 - 1284*q - 2.\nAnswer: -7407528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335 and 13505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 217 = o, -5*x - 4*o + 326 = 39. Let l = 346 - x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128924639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/((-171)\/95). Let f = 0.02 + -0.92. Which is the smallest value? (a) s (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3836017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.455 * -0.03.\nAnswer: 0.10365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(45\/(-72)*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + p**2 - p**3 - 7*p**3 - 3 as t*p**2 + q*p + x + v*p**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -14664 in increasing order.\nAnswer: -14664, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2522 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38920298 divided by 1574.\nAnswer: -24727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-9)\/(-6))*(3 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m - n, -m + 4*m = 4*n - 5. Solve -4*g + m = d + 6, 20 = -4*d - g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 7, s: 2, w: 1, h: 4, p: 3}. What is prob of sequence shps?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -158905664, -158905667, -158905670, -158905673, -158905676, -158905679?\n\"Answer: -3*s - 158905661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*b = 12, 3*p + 2*b = -0*p - 22 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3671 (base 10) to base 11.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t**4)*((-2 + 3 + 1)*(-2*t + 3*t + t) + 63*t - 102*t + 212*t + (2 - 3 + 2)*(t - 3*t + t)).\nAnswer: 176*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:36 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 96 = 11*q. Suppose -3*v - v = -q. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m, -a - 14*m = -19*m. What is the smallest value in -0.2, a, 32?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*u + 330 = 484*u. Calculate the greatest common factor of u and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*u**2 + g*u*z + 2*g*z - 17*g + 112*u**2*z + 4*z wrt u?\nAnswer: 4*g*u + g*z + 224*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 7*c - c)*(-3 + 0 + 1)*(2*c + 0*c - 5*c).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.3, -1\/6, 9276, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, q: 5, w: 1, d: 3, t: 3}. What is prob of picking 1 q, 1 j, and 1 d?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmc when three letters picked without replacement from cccmqqmmccm?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 17. Let h be z(-6). Let i be h + (3 - 84)*6\/(-9). Suppose -4*q + i = -93. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 - (-66)\/11. Solve -4*h = 3*h - z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (260\/30)\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21944 by 58.\nAnswer: 10972\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 16*l + 4. Let d be i(-8). Let k(a) = a + 2 - 3 + a + a**2. Let p be k(1). Solve d*z - 5*h = 23, z - 5*h - 13 = p*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10282337 (base 9) to base 10\nAnswer: -4955290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g + 8. Let l = -4 + -3. Let x be p(l). Let y be ((-3)\/(-2))\/(x\/16). Let u(q) = 2*q + 5. Give u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1489698, 2979400, 4469106, 5958816, 7448530, 8938248, 10427970?\n\"Answer: 2*a**2 + 1489696*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5*sqrt(65)*3)\/((sqrt(20) - sqrt(20)*2)\/sqrt(4)))**2.\nAnswer: 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*f - 38*f + 97*f**3 - 175*f.\nAnswer: 97*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g + 2. Let u(c) = -c**2 - 6*c + 9. Let d be u(-7). Let x be a(d). Suppose -5*h = w + 16, -x*h - 5 - 15 = 0. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253\/2 - -124. Suppose 2*v - 3*v = 6. Find the common denominator of 3\/v + 44\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and 576322197360?\nAnswer: 576322197361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-1 - 231\/(-242))*((-30)\/(-6) + -4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.14 + 0.86. Let m = t + -69. Let y = m + 30.7. What is y rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s. Let g(x) be the third derivative of 98*x**5\/15 + x**2 - 5*x - 440. Give a(g(l)).\nAnswer: 1568*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -4*w - 4257. Suppose -w = -5*h - 4*p, -5*p = -5*h + 320 + 180. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -312, -697, -1236?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j + 9. Let i be b(-7). Solve 0 + 2*m**2 + 0 - i*m**4 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minus -18822442?\nAnswer: 18822762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.703518 to 2 decimal places.\nAnswer: -74.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19761 - 19760.99999912865. Round x to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 22*w**2 + 10*w - 14. Let o be u(-23). Let r be (222\/(-9) - -1)*6. Let d = r + o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.5 - 25. Which is the second smallest value? (a) 5 (b) 2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*j + j = 3031, 5*q - 4*j = 7561. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.7795 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173738, 347322, 520906, 694490, 868074, 1041658?\nAnswer: 1215242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-42) - 2\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.9. Let x = 1\/23850 + 3448709\/23850. Let z = 144 - x. Which is the second biggest value? (a) -0.4 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 129*c + 23 = -134*c, -4*c - 16 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*a**2 + 10*a**3 + 1 - 31*a**3 + a**2 to m*a**3 + y*a**2 + o + s*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y - 129*y + 217*y + 6943 = -8237 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.2. Let t = -3.22 + 2.2. Let g = t + 0.02. What is the closest to -0.1 in v, 5, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -3*j**4\/8 - 5*j**3\/3 - 3*j**2. Let d(c) = -c**3 - 7*c**2 - 5*c - 1. Let t be d(-6). Is p(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/10)\/(w*w**(-4\/11))*w**(-2)\/(w\/((w*w*w**7*w)\/w)) assuming w is positive.\nAnswer: w**(579\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010101111111010101 + -11011?\nAnswer: -100010010101111111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 615953027 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.91 + 1.11. Which is the smallest value? (a) -7\/3 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86128, 345014, 776654, 1381042, 2158172, 3108038, 4230634?\n\"Answer: -f**3 + 86383*f**2 - 256*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115717035 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -5. Let s(n) = -3*n**2 + 11*n - 12. Let j be s(8). Let c = j + 814\/7. Which is bigger: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 4*i**5 - 3*i**5 + (3*i - 10 + 10)*(-i**4 + 2*i**4 + 0*i**4).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = v + 5, 2*b - 1 + 18 = -5*v. Suppose 179*n = -76*n + 65*n - 380. Sort 5, 4, n, b in descending order.\nAnswer: 5, 4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j. Let h be t(-6). Let m = -13 + h. Suppose 0 = i - 3*c + 10, -22 - 28 = -5*i - m*c. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856901871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174704 and 44392?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 5.6.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2203 - 10131?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 30309*b - 30308*b + 1 - 4. Give z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1225888482*-3\nAnswer: 3677665446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 57. Let p = -31.4 - c. Let a = -8.4 + 5.4. Sort p, a, 1\/9, -3\/7.\nAnswer: a, -3\/7, p, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -46\/9 + 89\/18. Let l be ((-50)\/15)\/(3 + 875\/(-291)). Let q = -3397\/7 + l. What is the third smallest value in 13, q, w?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*8\/(-30))\/((164\/451)\/((-6)\/(-55))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -163, -165, -167?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33282 times -7\nAnswer: 232974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2178366.013 rounded to the nearest 100?\nAnswer: -2178400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/678 and -11\/12.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x - 209457 + 209337 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvvqcvqvepqlqveee. Give prob of picking 2 q and 2 p.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 27. Determine v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -39\/5, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1303 + 2490 - 1254 + 3*c + (-6 - 2*c + 6)*(3 - 5 + 0) + (4 - 4 - 2*c)*(3 - 4 + 3) - 1 + c + 1 in the form f + h*c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2451 by -19.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.06 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = 3*b + 8, -5*b = 25. Suppose -2*i + x = -15. What is the units digit of (1 - 0)\/(2\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {v: 1, l: 2, w: 3, z: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*q - j - 1, -q + j = -1. Suppose -l + 4*k + 561 = q, 3*l - 1683 = -3*k + 4*k. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1163 - -1163.00000989. What is p rounded to 7 decimal places?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4227, -8453, -12679, -16905, -21131?\n\"Answer: -4226*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27 - -21 - (0 + -3 + 9). Solve -5*i = b - 37 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 2*u - 445*u**2 + 445*u**2 - 3 to the form f*u**2 + y*u**3 + g*u + h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/120 - 7*x**5\/60 + 2*x**4\/3 - 35*x**3\/6 + 4*x**2 + x. What are the prime factors of w(8)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 572.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383 + 796. Let r = w + -8671\/21. Let j = 379 - 384. Which is the second biggest value? (a) 1\/4 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 7*t - 348. Let o = 63 + t. Find the second derivative of -o*x + 6*x**4 - 5*x + 17*x**4 wrt x.\nAnswer: 276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320 is divided by 404?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28674 divided by 9558\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.56246 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 e when four letters picked without replacement from bbebebebbbebebee?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by (-585)\/(-117)*(-2 + 1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4654680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166140652 + 4?\nAnswer: -166140645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*y**2 - 52*y + 25*y + 28*y + (-2*y + 2*y + 3*y)*(-3*y + 0*y + y).\nAnswer: 23*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/28 + 0 - 194\/(-8). Solve w = 5*q + i - 2*i, 4*q - 19 = i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5\/3)*s*s*s**(1\/3)*s*s)\/(s**(1\/3))**(-16))**(-36) assuming s is positive.\nAnswer: s**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*z = 27*z. Solve -5*m + 4*i + z*i + 17 = 0, -8 = -2*m + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 25*v + 47. Give u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(14\/21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 - 8*z**2 + 2 + 6*z**2. Let q(v) be the third derivative of v**5\/60 + v**4\/3 - 2*v**2 - 67*v. What is q(x(s))?\nAnswer: 4*s**4 - 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1134, -2254, -3356, -4440, -5506, -6554?\nAnswer: -7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 597904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-22)\/d**21)\/((d**10\/d)\/(d*d**28)) assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15312, 28441, 41570?\nAnswer: 54699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233410 + -2413?\nAnswer: 230442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u - 1. Let x be h(-1). Let j = x + 3. Suppose -j*r = -8*r. Solve r*z + 12 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 607 + -250. Let q = x - 356. What is the third biggest value in q, -1, 3\/7, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceheedec. What is prob of picking 1 c, 1 h, and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*k + 3*k - 3*k**2)*(-3*k + 0*k - k) - 2*k**3 + k**3 - k**3 + (-116 - 60 - 9)*(3*k**3 - k**3 + 0*k**3))*(0*k - 2*k + 3*k)*(2 + 0 + 0).\nAnswer: -720*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 q, and 1 v when four letters picked without replacement from {q: 3, v: 4, d: 6, f: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -23867491330 to the nearest one million.\nAnswer: -23867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -58 - 80 - -135 - 25\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 685, 1927, 4103, 7465, 12265, 18755, 27187?\nAnswer: 37813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 25353316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(10)*2)\/sqrt(2) + 4.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27503175)\/(-875) + 11\/(-5)?\nAnswer: 2, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 6*a. Let j(x) = x. Let v = -12 + 17. Let r = 11 - v. Calculate r*j(i) - c(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1374057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1938 divided by 34\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 62, 98, 134?\n\"Answer: 36*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398705 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: b\"What is the fth term of -5344, -21161, -47512, -84403, -131840, -189829, -258376, -337487?\n\"Answer: -f**3 - 5261*f**2 - 27*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 26. Let n be a(22). Find the third derivative of 6*l**3 - n*l**3 + l**4 - 7*l**3 - 30 - l**2 wrt l.\nAnswer: 24*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 + -74. Let t = -182 + 339. Suppose 4*x = v + t. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3716?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91\/273 + 102676\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7205 and 100.\nAnswer: -720500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 14*c**2 - 5*c - 66. Let h be z(-14). Solve 0 = 3*b - 0*g + 3*g - 12, -b + 3*g + h = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 7\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/3057?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3341*o**3 + 2*o - 3449*o**3 - 179*o**3.\nAnswer: -6969*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = -3*w - 5*t + 672, -3*t = 5*w - 112 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 - -4)\/(-4) + 3. Let q be (1 + a)\/(5\/15). Let r(b) = -b - 2. Determine r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -266, -428, -608, -806?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038531000 rounded to the nearest one million?\nAnswer: -2039000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473 - -472.739. What is t rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 211 (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406375218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2410, -3130, -4344, -6052?\n\"Answer: -247*d**2 + 21*d - 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-27) - 76\/(-684)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716 = -36*y + 32*y. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let w = q + 6. Suppose -12 + w = -4*x. Solve x*n - 6 = 3*z, -6*n - 4 = 2*z - 2*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 0. Suppose 3*s + t + t - 106 = y, 3*s - 101 = -t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m**2 - 3*m + 7. Let i be t(-4). Suppose 0 = 2*d - i + 125. Solve -4*x - 24 = 4*r, -4*x - 28 = d*r + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**3 - 10*u**2 + 30*u - 1. Calculate the remainder when d(2) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 2*j - 1. Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c - 34, 3*d = -c + 161. Calculate the remainder when 1202 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26687 divided by -10.\nAnswer: -26687\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*b - 283*b + 89*b**2 + 12 - 317*b.\nAnswer: 89*b**2 + 3*b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n + 32552. Let j(q) = 634*q. Determine j(g(h)).\nAnswer: 5072*h + 20637968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642561 (base 9) to base 13.\nAnswer: 105109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - c + 1255 + 2878 = 0, -3*r - 12411 = c. Let d be r\/(-18) - 4\/(-18). Suppose i = -i + d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442304977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 3420682*z**2 + 2925262915596*z + 5850539513928.\nAnswer: (z - 1710342)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 222\/((-39)\/13*-2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 186*c - 187*c + 27003, 4*k = -4*c + 108012. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**3\/6 - x**2 - x. Let l(q) = -3*q + 3. Let t(i) = -5*g(i) - 2*l(i). Suppose -20 = 4*m + m. What is t(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 27 = -3*r, 6*r + 2*j = r + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 2*c + (0*c - 4*c + 2*c)*(0 + 1 + 4))*(-5 + 0 - 3) to m*c + x and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-58)\/8)\/1)\/(7\/(-28)). Solve -24*o = 101 - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -35*k + 21. Let v be u(10). Let y = v + 12172\/37. What is the third biggest value in 3\/8, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 11604.9 (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 3222231?\nAnswer: -3222234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40872.3 and -58.6.\nAnswer: -2395116.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4033*q**3\/5 + 5690559*q**2\/5 - 11402902*q\/5 + 11304\/5 = 0 for q.\nAnswer: -1413, 4\/4033, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.82864 - 70.\nAnswer: -61.17136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435\/33 - 3) + -10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 5*j. Let m be s(5). Suppose -4*f - 30 - 1110 = m. Calculate the smallest common multiple of 8 and 2\/8 + f\/(-60).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.54 + 17.54. What is the second smallest value in j, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/18 or -11?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 31*l**2 - 155*l + 276. Let g be n(-24). Let k = 11 + -8. Let q(m) = -4*m**2 - 1. Let x be q(k). Do x and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2. Let g(s) = s**3 + 2*s**2 + 3*s - 3. Let u be g(2). Let z = -18 + u. Give m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9682139 minus 0.2936?\nAnswer: -9682139.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.98929 nanoseconds in hours?\nAnswer: 0.000000000127497025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -102. Calculate the common denominator of (340\/64 + -6)\/((-3)\/18) and 2 - (a\/20 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -47*s**3 - 2*s**2 - 2*s - 2. Let c(r) = -47*r**3 - 3*r**2 - 3*r - 2. Calculate 2*c(o) - 3*u(o).\nAnswer: 47*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 26*u**3 + 24*u**2.\nAnswer: 2*u**2*(u - 3)*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (0 + sqrt(304) + (sqrt(19) - (3 + -1 + sqrt(19) + sqrt(19) + sqrt(19))) - 1*(sqrt(19) + 1 + -1 + sqrt(19))))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29792*b**2*k**2*u**2 - b**2*k*u + 16*b**2*k - b**2 - 6*b*k**2 - 2*k wrt u.\nAnswer: 59584*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 - 3*f**2)*(5 - 3 - 1) + 3*f**2 + 3*f**2 - 5*f**2 + (-2 + 2 + f)*(-1 + 2*f + 1).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 2}. What is prob of picking 1 w and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, 1 m, and 1 v when four letters picked without replacement from {k: 1, y: 2, v: 1, g: 1, m: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96248479 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(52) + sqrt(832)))**2 + (4*sqrt(52)*-2)**2 + -1.\nAnswer: 4627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 2310.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -132654 (base 9) to base 15\nAnswer: -18dba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 3*v + 4. Let o be m(-4). Suppose o = 3*i + 2*i - 10. Suppose -i*t + 45 = 3*p, -4*t - p - p = -70. 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 the ninth root of 862320056 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127\/6? (a) -3 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126488 divided by -136?\nAnswer: 8283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(5 + -2)*3\/(-18). Suppose 27*y - o*y - 10896 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) -4 (d) 0.5 (e) 4 (f) -422\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 575936268 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56028 divided by -92\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1396 = 3*l - 932. List the prime factors of l.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 1137 - 1103 + 3299 - 1104 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22\/7)*n**(-13)*n*((n*n*(n*n**(-8))\/n*n*n)\/n)**(-25) assuming n is positive.\nAnswer: n**(769\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.46 and -1.333992.\nAnswer: -2.793992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*r + 17, 0 = -2*j + 5*r + 13 - 6. Let v = 6 - j. Sort -1, v, -2 in increasing order.\nAnswer: v, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 44. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*m + 1, 3*m + 10 = -2*m. Let z be f\/2 - (-4)\/8. Let i(n) = n - 4. Let q(c) = 2. Calculate z*q(t) + 2*i(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f**3 + 14*f**2 + 166*f - 206. Let b(q) = -2*q**3 - 4*q**2 + q - 2. Let r(h) = 5*b(h) - s(h). Suppose r(j) = 0. What is j?\nAnswer: -28, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**9*(h\/(h\/(h*h*h**8*h)))\/h*(h\/(h\/(h*h*h**(-2\/9))))**47 assuming h is positive.\nAnswer: h**(932\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.223, -5.\nAnswer: -5, 0.223, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016502562867 to seven decimal places.\nAnswer: 0.0165026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*v - 11, -2*v - 2*v = 4*y + 12. Let j be y*16*(-10)\/4. What are the prime factors of (-2)\/(-8) + 190\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.1 + 8.2. Let l = h - -8. Which is the second smallest value? (a) 1 (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2130876 divided by 21524\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4 + u**2 - 2 + 0. Let x be r(4). Is (x\/8)\/(4\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*l**2 - 30*l + 30*l to the form g*l + u*l**2 + z and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.3. Let g = -0.07 - -0.05. Let t = g - 0.98. What is the second biggest value in t, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/7 + -13\/35. What is the third smallest value in 2\/7, l, 1\/3, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3247922676800 - 3247922676800 + 5*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-48)\/252*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116595 or -116411?\nAnswer: -116595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1053 + 1053 - 445*o**2)*(3 - 2 + 0)*(-7 + 13 + 9)*(0*o**2 - o**2 + 2*o**2).\nAnswer: -6675*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 11*b - 5. Let y(q) = -q**2 + 12*q + 7. Let l(n) = -2*u(n) - 3*y(n). Determine l(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.013099369 - 33?\nAnswer: -47.013099369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349.3 + 349. Let j = 0.11 + 3.89. Which is the closest to 1? (a) j (b) -4\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 140 = 5*x + h, -x - 4*h + 9 = 0. Suppose -31*d = -x*d - 80. What is the highest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/15, -2, -44\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-12) + (-75)\/(-90). Let k be (-7)\/(-14) - 41\/(-2). Let l be (-2)\/(-8) - k\/(-12). Solve -s*d - 10 = l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-62)\/(-16) + -4). Solve v*u - 9 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 490.4 + -491.4. Which is greater: -10\/1101 or t?\nAnswer: -10\/1101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 71. Let q = -740\/7 - -106. Sort q, h, 1\/3, 1 in descending order.\nAnswer: 1, 1\/3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9230707.999805 + 9230632. Let c = -76 - v. What is c rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16191882 divided by 3603\nAnswer: 4494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 7*g - 16. Let m(a) = -4*a**3 + 21*a**2 - 22*a + 49. Let f(d) = -2*m(d) - 7*p(d). Is 12 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -72. Let h(d) = d**3 - 2*d**2 + 3*d + 7. Let o(g) = -g**3 + 3*g**2 - 4*g - 6. Let s(p) = -3*h(p) - 4*o(p). Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Let m be (-3 + 9)*1\/3. Let w = 0.44 - 0.34. Sort m, c, w in descending order.\nAnswer: m, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52\/51 - -6\/17. Let m = -40 - -40.1. Let g = 12.6 - 13. Which is the third biggest value? (a) m (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*g + 18 = 0, -4 = 3*v + 5*g + 6. Let j(x) = -x**3 - 7*x - 225*x**2 - x + 218*x**2 - 5. Give j(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24076 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38100449 by -21.\nAnswer: 38100449\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3 + 13. Solve 3*t = 0, -t + 3 = -s + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010568 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 11*w + 14*w**2 - 13*w**2 - 3*w + 32. Does 16 divide z(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 779.636 litres?\nAnswer: 779636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 41*t**2 - 194*t - 1619. Is 3 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 34792.\nAnswer: 1\/34792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*u**2*v**3 + 10*u**2*v - 2*u**2 + 76*u*v**5 - 94*u*v - 2 wrt v.\nAnswer: 2136*u**2*v + 1520*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 560*n**3 + 11*n**2 - 17859*n.\nAnswer: 3360*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = -68*d + 742436 - 745894 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/((-1830)\/3294)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*h - 3, 3*d - 3*h = -2145 + 2172. Let x(i) = -i - 5. Let q be x(-8). Suppose l - q*l = -4. Solve -2 = -l*y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*n**2 + 997*n**2 - 2*n**3 - 504*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(-2)*u*u))**(-1\/47)*(u*u*u\/u**(-18))\/(u*u*u**24\/u) assuming u is positive.\nAnswer: u**(-187\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020 (base 3) in base 7?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k = 4*r - 193, 146 = 3*r - 2*k. Suppose 5*q - q - 20 = 0. Factor 56*g - q*g**3 - 24*g - r*g + 25*g**2.\nAnswer: -5*g*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 1664?\nAnswer: -7\/1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16754*v**4 - 2*v**3 - 1728*v**2 + 276876140*v?\nAnswer: 201048*v**2 - 12*v - 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*g**2 - 65*g**2 + 351*g**2.\nAnswer: 551*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005606 divided by 43722?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = 4*p + z, -2*z - 49 = p - 7*z. Let i = -195 - p. Which is bigger: i or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 4, u: 1, g: 2}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/8 (b) -0.5 (c) -4 (d) -677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.3 (b) 8.1 (c) -0.065 (d) -9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2. Suppose 4*m - k = 2*m. What is the closest to m in -5, -0.4, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -0.1. Let y(x) be the first derivative of x**3\/3 + 2*x**2 + 7*x - 6. Let f be y(-3). What is the second biggest value in -0.4, f, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/60 + 7*u**4\/12 + 2*u**3 + 66*u**2 - 150. Let l(d) be the second derivative of i(d). Determine l(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -175*j - 3. Let v be n(-4). Suppose 1830 = 30*t + 1320. What is the greatest common factor of t and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g*g*(g**(1\/6)\/g)\/g*g*g\/(g*g**2)*g*g\/(g\/(g\/(g*((g\/g**(-1\/5))\/g)\/g))*g) assuming g is positive.\nAnswer: g**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -2\/31, -3, -6, 2\/5, 0.05 in decreasing order.\nAnswer: 2\/5, 0.05, 0.04, -2\/31, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:43 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1168*k - 41. Is h(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*q + 2229 - 7150 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202556983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by 3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, k: 6, l: 8}. Give prob of sequence lw.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8*l. Let g = 2 - 4. Let f = 4 + g. Solve l = -s - 0 + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose s = l - f - 0*f + 2, 2*f = 5*l + 13. Let t be l - (-1 - 6\/1). What is the second smallest value in 2\/9, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 9.2. Let u = -6 + f. Let y = -47 + 50. Which is the second smallest value? (a) -1\/2 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -48, -118, -620 in increasing order.\nAnswer: -620, -118, -48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/126*(-42)\/(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 less than -1.211?\nAnswer: 496.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2527 and 1463.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587775426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1)*38\/(-133)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 9161*a - 9166*a - 20, -5*y + 8*a + 38 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 38*q**2 - 3*q - 6. Let t be h(-2). What is the highest common factor of t and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 6 + (2 + 0 - 3)*(1 + 1 - 1) + 3 - 4 + 3)*(-5*f**3 + f**3 + 9*f**3 + 2*f**3 + 0*f**3 - f**3 + (-2 + 2*f**3 + 2)*(3 - 1 - 1) + 0 + 0 + 4*f**3).\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 3*l + 2. Let v(d) = 5*d**2 - 16*d - 11. Let s = 15 - 5. Suppose 12 = 2*u - 2*x, u - 3*x - s = 2*u. What is u*v(n) + 11*f(n)?\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.7 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -49 - (-3 + (-6 - -13)) - 8 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*z**3 - 184*b**3*z + 9*b**3 + b*z**3 + 662*b*z**2 - 2*b wrt b?\nAnswer: 6*b*z**3 - 1104*b*z + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:36 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90918.\nAnswer: 2, 3, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -166*y**3 + y**2 - 2*y - 2. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -2, -4, 475.5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -4 - 0)\/(3\/44). Find the first derivative of -n*l**3 + 45*l**3 + 27 - 6 - 8*l**2 + 10 wrt l.\nAnswer: 3*l**2 - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Let k = w + -3. What is the derivative of -5*u**2 - u**3 + 29*u**k - 5*u**2 + 44 wrt u?\nAnswer: -3*u**2 + 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 1\/24*p**4 - 4*p**2 + 0 + 1\/120*p**6 + 0*p + 0*p**3 + 1\/20*p**5. What is the units digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1377) + -1 + -4*(sqrt(17) - (0 + sqrt(17))**2) + -4*sqrt(17)*1.\nAnswer: sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**2\/2 - 9*f + 46. Calculate r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (1 - 48\/6). Let f(r) be the first derivative of -1\/2*r**2 + 9 - 1\/4*r**4 + y*r - r**3. Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1069 = -m, -5*m + 0*a = -5*a + 5365. Is m != -1075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26929239*d*s**2 - 2*d*s - 46725*d - 2*s wrt s?\nAnswer: -53858478*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(117) + 5)*-6 + (sqrt(117) + 5 + sqrt(117) + 1)**2 + sqrt(117) + -2 + sqrt(117) + 0)*6.\nAnswer: 360*sqrt(13) + 3012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 3. Suppose 32*b + 54 = 54. What is s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:23 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**2 - j. Let r be t(-2). Let l = r + -19. Calculate the highest common factor of l and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1821.5 + -1822. What is the nearest to 0 in -0.1, 5, -3\/2, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22249 by -5.\nAnswer: 22249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 397*j - 20339. What is g(-47)?\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/13)*m)\/m**(-1\/5))**(-2\/3) assuming m is positive.\nAnswer: m**(-102\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0226 + -12.6226. Round s to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*x + 295, 3*c + 25 = -2*c. Let j = x + -58. Is j greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 10*s + 2. Calculate p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 9. Let t be (15\/(-105))\/(2\/4). Let u = -2.9 + 3. Which is the nearest to u? (a) 4\/3 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 2038*o + 80196.\nAnswer: 2*(o + 41)*(o + 978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 + 3436*t - 540050 = 0. Calculate t.\nAnswer: 175, 1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 46.7448?\nAnswer: 93.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2068177674.1 and -23859.\nAnswer: -2068201533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248131 + -10933.\nAnswer: 2237198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 343 + 4?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.6. Let s = -0.187 - -0.267. Let o = s + c. Round o to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1384?\nAnswer: -1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 14235 = 4899. List the prime factors of i.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7*4)\/(118\/(-413))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98640559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4837 + 4981 = -16*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1 = 5*u + 9, -u - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/6 + 27224*w\/3 - 18149\/2 = 0.\nAnswer: 1, 54447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 < 346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2)*(0*x - x + 2*x)*(-1716 + 860 + 1013) + 2*x**2 - 3*x**2 + 3*x**2.\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 284*a. Let k(b) = -3*b**2 - 7. Let w(h) = -8*h**2 - 70. Let m(s) = 10*k(s) - w(s). Determine m(n(u)).\nAnswer: -1774432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 360767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15966, -127765, -431262, -1022307, -1996750?\n\"Answer: -15975*x**3 + x**2 + 23*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-1\/9)*v\/((v\/((v\/(v\/(v*v**(6\/11)*v)*v))\/v))\/v)*(v**(-6))**(1\/17) assuming v is positive.\nAnswer: v**(3877\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28432 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 2616, 5936, 10594, 16596, 23948, 32656, 42726?\nAnswer: 54164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 6. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 8*p + 17*p to the form l + j*p and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbzbzbbbbb. What is prob of sequence bz?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1966 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b + 81182 = 82216 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2205, 1, 5 in increasing order.\nAnswer: -4, 1, 5, 2205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.01 (b) 0.4 (c) -3 (d) 21\/5 (e) 2\/287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*r = 35, 0 = h + r - 744 + 754 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1440113?\nAnswer: 2\/1440113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 1.1. Suppose -2*p = -27 + 9. Suppose 0 = 3*d - g + p, 3*g = g. Which is the second biggest value? (a) 1 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 68. Let l = i + -62. What is the least common multiple of 21 and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-301)*-1*(-21)\/(-6))\/(324\/72)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 14. Which is the second biggest value? (a) 4 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*j**2 - 128 - 130 + 382 - 124.\nAnswer: -203*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 115. Calculate the remainder when -14 + (68 - 2 - 9) is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5.49. Let c = 0.0418 + 0.5602. Let u = o + c. What is u rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2528*c**2 + c**3 - 870*c**2 - 837*c**2 - 821*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 5. Let p(r) = -r + 1. Let n(k) = 6*p(k) - u(k). Suppose 0 = 6*f - 10*f. Suppose f = -2*a + g - 3*g, a + 2*g = -2. What is n(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a - 2. Let q be c(-6). Let n = q + 29. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30777117\/11 + 2795091. Let f = 5725 - 2892. Let q = w + f. What is the common denominator of -133\/6 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 73*d**5\/60 + d**4\/24 + d**3\/6 + d**2. What is the tens digit of s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -2397, -5394, -9591, -14988, -21585?\nAnswer: -29382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = 1. Solve 1 = h*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, 1, -561 in descending order.\nAnswer: 5, 1, 0, -2, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose -2*r - 3*k = 3*r - 9, k - 7 = -j*r. Suppose 6*d - d - 55 = 0. Solve r*n - 6 = 3*z, 3*n = 4*z - 2*n + d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 5*b**2 - 611834*b + 5*b**2 + 13*b**2.\nAnswer: 17*b**2 - 611834*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65223281\/5 at least as big as 13044657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, 47756, 4, -3 in decreasing order.\nAnswer: 47756, 27, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1982, -2063, -2134, -2189, -2222, -2227, -2198?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(12))**2 + (sqrt(704)*-4)**2.\nAnswer: 11275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-140) + (-202)\/(-5). Let g = -37 + k. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166012 (base 8) to base 2\nAnswer: -1110110000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700959.\nAnswer: 3, 7, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, v: 4}. Give prob of picking 2 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5647, 3 in descending order.\nAnswer: 23, 3, -5647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1796\/7*o**3 + 0*o + 10\/7*o**4 - 720\/7*o**2 + 0 = 0.\nAnswer: -180, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 28. Solve -2*d - 30 = 4*b - 9*b, -3*d - c*b + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -1487.2372.\nAnswer: -1472.2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101975 is divided by 33827?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 772\/7. Let k = 0.5 + -0.8. Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 22. Which is the third smallest value? (a) i (b) -1\/6 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/560)\/((-4)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3500 + -5?\nAnswer: 3495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7101 and 9994.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3.9. Let o be (2 - 1 - 2)\/3. What is the closest to z in o, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + (-4)\/(-2) + 2. Let q = s + 20. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 + 146*j**2 + 851*j + 28. What is k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11856, -42757, -94252, -166335, -259000, -372241, -506052, -660427?\n\"Answer: p**3 - 10303*p**2 + p - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 84. Let n be 2\/p + (-42)\/56. Does 37 divide (-220)\/n - (-6 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 5. Let x(k) = -k**2 - 6*k + 9. Let r(u) = 11*s(u) - 6*x(u). Let g be r(-1). Solve -3*m - 10 = 2*y + 2*m, 3*y - 2*m - g = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298.96634 rounded to one decimal place?\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3 - 7) + 304 + -304.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397671.\nAnswer: 3, 71, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3753 or 2143057\/571?\nAnswer: 2143057\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3 + 174*g**2 + 316*g - 40. Let h(s) = -2*s**3 - 58*s**2 - 105*s + 15. Let c(k) = 3*d(k) + 8*h(k). Factor c(t).\nAnswer: 2*t*(t + 2)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n**3 + 0*n)*(8 - 3 + 4) + 36*n**3 + 42*n**3 - 17*n**3.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1958183, 3916366, 5874549, 7832732?\n\"Answer: 1958183*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*c - 16, 116 = -c - 5*k + 115 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -214054\nAnswer: -3\/107027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247 + 246.04. Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5117 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f**3\/7 - 7503*f**2\/7 - 281310*f\/7 - 532968\/7 = 0 for f.\nAnswer: -1676\/15, -53, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, u: 3, e: 2, i: 1, s: 4}. What is prob of picking 1 s and 1 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-304)\/(-133))*5\/(210\/(-27))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12676828 is divided by 4391?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51678265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = 3*q - 5*m, 56 = -q + 4*m + 213. Let i be q - (-3 + 0\/(-3)). Round i to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**4 - 19 - 154 + 15*k + 4*k**4 - 216 + 7*k as l*k + a + q*k**2 + w*k**4 + i*k**3 and give a.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfdbdbddffdfbd. What is prob of sequence bbbd?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w - 68*w + 18*w + 26*w. Let h(c) = -2883*c. Calculate f(h(l)).\nAnswer: 5766*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 787774?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + (-24)\/4 + 490.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-2)*1*4\/8. Let g(f) = -13*f - 1. List the prime factors of g(t).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) - sqrt(2592)*-2)*-4 - (sqrt(2592) + -2*sqrt(2592)*1))\/((sqrt(60)\/sqrt(10) - sqrt(6))*-1 - sqrt(18)\/(sqrt(33)\/sqrt(11))).\nAnswer: 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29795705 is divided by 4071.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21857, 7448, 36753, 66058, 95363, 124668?\nAnswer: 153973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -22*n + 26*n - 21, s + 26 = 5*n. Solve 5 = 2*b + n*d - 6, 3*b = d + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxjj when four letters picked without replacement from xbjjbxxxjxxjx?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*1*73\/(5840\/(-140))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -9, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -103 and -218471.\nAnswer: -218574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a + 6*a + 16*a - 35*a + 438 + 635 to the form c + f*a and give c.\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)*y\/y**(-2\/27)*y*y\/(y\/(y\/(y*y**5\/y*y)))*y*y**(-7) assuming y is positive.\nAnswer: y**(-484\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 962596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 9) + (-2 - -1). Let p be v - (4\/(12\/9) + -3). Suppose 0 = p*q - 11*q + 18. Solve q*f + 2 - 18 = -2*a, 0 = a + 3*f - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y = 0. Solve -v + 4*v = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 15 = -5*x, -5*z + 4*z - 4*z - 6*x + x = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(4 + 0 - 6) - 3 + 5 - 4 + 0 + 1 - 8)*(-15*g + 9 - 9).\nAnswer: 195*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3 + 1 + i**2 + 3 + 4*i + 0*i**2. Let u be z(-5). Let m be ((-9)\/u)\/(1\/(-2)). Solve -5*a - n = 6, -m*a + 0*a - 18 = -3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r + 27. Let g(z) = 43*z + 1579. What is k(g(f))?\nAnswer: -602*f - 22079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.4 times 0.3?\nAnswer: 129.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1117*h**5 + 9 - 335*h**5 - 9 + 3*h**5 - 2*h**5 - 3*h**5 + 5*h - 5*h - h**5 + 0*h**5 - h**5 + 3*h**5 + (-5*h**3 + 5*h**3 + h**4)*(2*h - 3 + 3).\nAnswer: -1451*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5)*(-150)\/(-45). Let p = -11 + 14. Differentiate -5 - 9*a**p + g + 0 with respect to a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((-8 - -9) + -10 - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1075 - 1039. What is the remainder when 213 is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-8 + 21 + -21 + (11 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 221?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(-1)*(-188)\/(-1551).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((2 - 2) + -1). Suppose -2*s - 2*s - 2*q - 2 = 0, 2*q = -10. Let n = -0.97947 + 1.17947. What is the nearest to 0.2 in n, w, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:23 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04891 - -0.31799. Let n = 24.63 + -25. Let t = r + n. Round t to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13466?\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspsppppssspsppsps. What is prob of picking 4 p?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/2 + 46477527*n - 720053505345243\/2 = 0. Calculate n.\nAnswer: 15492509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -172, -169, -166, -163?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*r - 1 - 3771*r**2 + 3771*r**2 + 23*r**4 wrt r?\nAnswer: 276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.6314 kilometers to meters.\nAnswer: 84631.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**10\/2520 - s**6\/180 + s**3 - 2. Let v(h) be the third derivative of a(h). What is the third derivative of v(k) wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 8 + 4*k**4 + 6*k**4 + 11*k**2 - 7*k**2 - 6*k**4. What is the second derivative of c(a) wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*r**4*t**2 - 30*r**3*t**2*u - 22*r**2*t**2*u + r**2*t + 3*r*u wrt r?\nAnswer: -216*r*t**2 - 180*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 10*r**2 + 2*r - 17. Let h = 48 + -38. Let d be g(h). Suppose d*o = 3 + 3. Solve 1 = o*z + b, 5*z = 5*b + 61 - 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 81851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and 0.03.\nAnswer: 56.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 (base 11) in base 16?\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(363) + (2 + sqrt(363) - sqrt(363))) - ((2 + sqrt(363))*-5)**2.\nAnswer: -9165 - 1045*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*b - 9*b. Suppose -4*j + b*w - 1037 = 0, -3*j + 784 = -6*j - 4*w. Does 13 divide (4\/10)\/((-4)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + x - 5. Let b be k(-2). Solve 0 = -b*s + 30 - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3072*c**2 - 106*c - 147 + 147 - 114*c + 220*c.\nAnswer: 3072*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84825695?\nAnswer: 5, 16965139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 23*d - 14. What are the prime factors of y(16)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*1)**2 - sqrt(34)\/sqrt(8).\nAnswer: -sqrt(17)\/2 + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/4 - -9)*(32 + -30). Solve -13*u - 4*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 2*b**2 + 2. Let y be d(2). Find the second derivative of 2*v**4 + v + v**4 + y*v**4 + 2*v wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -260.4 in 2\/15, 3\/2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2296\/220543?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 1. Let t(g) be the second derivative of -18*g - 1\/2*g**2 + 0 + 0*g**3 + 1\/6*g**4. What is 2*o(x) + 2*t(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h**2. Let k be (-6)\/(-24) - 44\/(-16). Let b(x) = -10*x + 12*x - k*x. Give b(a(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-7 - -19 - (0 + 1))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - m**2 + m + 1. Let l be q(1). Solve -5*n - z = -16, 7 - l = -z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183.78301 - 7488.\nAnswer: -7304.21699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 40 - 16 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5538b - 4a9?\nAnswer: -55878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 183.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*z**2 - 49407*d**4 - 2*d**2*z**2 + 2*d**2 + 118*d + 17 wrt d.\nAnswer: -24*d*z**2 - 1185768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 1143956?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 divided by 696?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416174 + 416174 - 178965*q.\nAnswer: -178965*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*b = -878, -25 = -h + b + 853. What is h rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45425598 and 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 72. Let 33*g**3 + 6*g**4 + 12*g**4 + w*g**2 + 6*g**3 - 6*g**3 + 3*g**5 = 0. What is g?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zozzzzzzooz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 + 65 - 71)*(-1 + 0 + 2*l + 2).\nAnswer: -324*l - 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 = 26. Suppose 0 = 4*f - 4*k - 56, -4*f + z*f = 5*k + 22. Which is smaller: f or 27?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 4*n + 6*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 times 601690?\nAnswer: 83033220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16245 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -80*a**2 - 72 - 2*a**4 - 16*a**3 + 64*a + 49*a**2 + 57*a**2 = 0.\nAnswer: -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316269821*x**4 - x - 188195275?\nAnswer: -3795237852*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 912\/36 - (-1)\/(-3). Solve -z + 6*z = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 + 32*h + 323. What is q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 28*v**2 + 15*v - 41. Is i(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.91419 to zero decimal places.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.24, -58\/5, -142.5 in increasing order.\nAnswer: -142.5, -58\/5, -0.24, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) 276\/5 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.21, -9, 61, -0.2 in decreasing order.\nAnswer: 61, 2, -0.2, -0.21, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-2*a + 3*a - 13*a) + 5*a + 11 - 11)*(-168 - 122 - 36).\nAnswer: 6194*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24701209 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020007 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 + -5?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*(-373437)\/(-468)*-4. Let o = i + -1063. Is 1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 17 + 9. Solve -p + 0*p + i = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, n: 1, s: 3, a: 4, g: 2, i: 1}. Give prob of picking 1 n, 2 a, and 1 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - -62028.66.\nAnswer: 62154.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(162) + 0 + sqrt(162) + -3*sqrt(162)*-1) + 5)**2.\nAnswer: -2520*sqrt(2) + 64849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = 0, -2*p + 3*p - 2*y - 79 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*x - 14 = 0, 2*z - 44426*x + 44423*x = -27 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 386632.4247 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-10))\/(d*d*d*d\/((d*d\/(d*d**(6\/7)))\/d)*d)*d**(2\/21)*(d**(2\/3)\/d*d)\/d)**(-17\/4))**(-12) assuming d is positive.\nAnswer: d**(2108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.007 - -5.007. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6*y + 0 + 7*y - 7*y to the form s*y + v and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + 0)\/(-2))\/(-1). Suppose 2*t - 5*r - 95 = 0, 4*t - 163 = -n*r + r. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 112392?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4916, 4911, 4904, 4895, 4884, 4871?\nAnswer: 4856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:20 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93726 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0, -12, -1, -29?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25100 (base 8) in base 2?\nAnswer: 10101001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**2\/2 + 4*w + 10. Let x be -12*-5*(-9)\/180. Determine i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 3745.44.\nAnswer: -52436.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3342072 to 4 decimal places.\nAnswer: -0.3342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {f: 1, r: 1, q: 1, d: 5, z: 1, v: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 276.42*0.4\nAnswer: 110.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15361153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150238 and 245844.\nAnswer: 2704284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -0.5, -1\/6, -3211, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181995 by -36399.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 60.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-75)*(-101150)\/(-347956)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 21. Let y = p - 7. Solve -5*u = 5*c + 35, -5*u = y*c + 11 + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5950 and 170.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/420 - y**5\/105 + y**4\/84 + 2*y**3\/21 + 19*y**2. Suppose u(t) = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1700 + 2536. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460270 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1169 and 6041.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -274 - -262 - (-7 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-25))\/(-8)*120\/(-54)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v + 7. Let h be s(-2). Put 7, -4, h in ascending order.\nAnswer: -4, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2) + 0)*0. Suppose -10 = 2*j + 4*o, 2*j - 14 = 11*o - 7*o. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.047 - -0.053. Let q = 34 - 39. Are s and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 776 divide 362526248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 4*o + 12, -o = 2*d - 4. Let w(c) = -5*c - 10. Let b be w(o). Solve 4*a + 9 + 7 = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 25320*s - 13297878.\nAnswer: -2*(s + 549)*(s + 12111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 116. Let f = 24\/115 + 388\/345. Sort 4, f, n, -4 in decreasing order.\nAnswer: 4, f, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -430. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14657 - -14657.2. What is the smallest value in 20, -12, 0.5, w?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-194)\/20 + -1 + 0 and -7*8\/(-252)*((-318)\/40 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 520268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*y**3 + 180*y**3 + 24*y**3.\nAnswer: 103*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14537843839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.695 - -0.035. Let s = w - -0.76. Which is the smallest value? (a) 2\/3 (b) s (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g + 2. Let b be c(0). Solve 5*d + 3 = -22, b*d + 13 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 4*y - 7. Let k(d) = 5*d**3 + 9*d + 14. What is -6*k(q) - 14*v(q)?\nAnswer: -2*q**3 + 2*q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(3\/4)*x*x*x\/(x*x*x**7*x*x)*((x*x**(-6))\/x)\/x**(-3\/5) assuming x is positive.\nAnswer: x**(-233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -25. Suppose 5*m + 3*z = 85, 3*m - 4*z = -g*z + 37. Find the second derivative of -m*a**3 - 11*a + 30*a - 14*a - 14*a wrt a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*z = -203*z + 377*z - 160 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.013 + 0.079. Let d = -0.0525 + w. What is d rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6)\/d*d*d**(3\/2)*(d**1\/d*d)\/(d\/((d\/((d*(d**(-2\/13)*d)\/d)\/d))\/d)))**(-21) assuming d is positive.\nAnswer: d**(-679\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c09d (base 14) to base 8.\nAnswer: -326513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70052994989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 5. Let j(u) be the second derivative of -1\/6*u**3 + 6*u + 1\/2*u**2 + 0. Calculate -6*j(t) + s(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Let z(d) be the third derivative of -47*d**4\/24 + d**3\/3 - 4*d**2 - 11*d. Determine z(h(k)).\nAnswer: 47*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 2*s**2 - 3*s**2 + (2 - 2 - 5)*(3*s + 2*s**2 - 3*s) + (0*s + 0*s - 2*s)*(127*s - 95*s - 290*s) as v*s + r + u*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.1151 meters in centimeters?\nAnswer: 7211.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 30 - -27) + -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjmpjsjp. What is prob of picking 2 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 293 or 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhqhqhhhlhyhhy?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Let r(i) = 4*i + 3 + 1 + i**a - 2 - 4. Give r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8454 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, 22, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2270.\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - n = 38, 3*n = 5*v - 15 - 78. Let z = v - 18. Suppose 3*f - 4*p - 105 = -2*p, -f - z*p = -35. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-286)\/(-77))\/2 + 11\/126.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-267*u - 87*u - 37*u - 62*u)*(1 - 5 + 3) to the form y*u + m and give y.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -48. Let a(z) = 2 + 1 - 3 - 6 + 10*z + 3*z**2. Calculate the remainder when a(i) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23162071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/2)\/((118\/767)\/((-12)\/(-195)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714762 is divided by 1147?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 d, and 1 m when three letters picked without replacement from {m: 3, w: 1, d: 6, p: 5, v: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*b = -137*b + 14*b - 15183 - 12033 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-2))\/((-2055)\/1644).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**8\/336 - p**7\/42 - p**6\/15 + 11*p**5\/15 + 4*p**4\/3 - 32*p**3\/3 - 13*p**2. Factor z(b).\nAnswer: (b - 4)**2*(b - 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*o = -508*o + 72 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**3 - 12*m**2 - 2*m**3 - 4*m - 4*m = 0. Calculate m.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2, 7364, -9 in descending order.\nAnswer: 7364, 5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 - -1.5. Let a = 10 - w. Sort a, -1\/7, 2\/7.\nAnswer: a, -1\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94058.\nAnswer: 2, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h. Let o be 5 - -3*2\/(-6). Suppose -o*u + 63 - 11 = h. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/7 (c) 241\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2820 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360*x**3*z + 2*x**2 + 162*z wrt x.\nAnswer: -2160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1609\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 8*o = 3*d + 21, -2*o + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 2245 - 2245.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 28 = 37994*d - 37992*d, 25 = 3*d + 2*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l**3 - 26*l**2 - 8*l + 14. Let p(n) = -5*n**3 + 9*n**2 + 3*n - 5. Let i(z) = -4*b(z) - 11*p(z). Calculate i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**6\/480 + r**5\/80 - r**3\/6 - 3*r**2. Determine x so that v(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 6. Let u be y(0). Let f(v) = v**2 + 5*v - 1. Suppose 25 + 23 = 4*k + 3*a, -2*k = 5*a - 38. What is the lowest common multiple of k and f(u)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54103 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15615 (base 8) to base 14.\nAnswer: -27db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 71.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 + 9 = -2*p, 0 = 5*p - 3*o + 24. Let d be 0\/(2 + p - 1). Solve d = 2*v - v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from {m: 7, t: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/3 - 9*w**2 + 56*w + 196\/3 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let d(z) be the first derivative of z**4\/2 - 4*z**3\/3 + 3*z - 4. Let t(x) = 2*x**3 - 5*x**2 + 3. Give y*d(r) - 4*t(r).\nAnswer: 2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20367 by -20367.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = -0. Solve 4*q = -u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10837 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 21, 32, 33, 18, -19, -84, -183?\n\"Answer: -t**3 + 4*t**2 + 10*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*o**4 - 106*o**2.\nAnswer: 3672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8063*n**3 + 90*n**2 + 7*n + 20. Let c(b) = 2688*b**3 - 27*b**2 - 2*b - 6. What is 10*c(j) + 3*u(j)?\nAnswer: 2691*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = t + 2*l, -7*t - 4*l + 286 = 250. Let k = 5 + -2. What is the closest to -13 in k, t, -3, 4\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/(((-189)\/(-28))\/27) + 344. What is the greatest common factor of z and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 9 = 4*b, 2*b + 3*c + 12 = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1001001020020 (base 3) to base 5\nAnswer: 120131041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.67 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12*3 + 3. Suppose d = g*r - 46845 - 33163, 2*d + r + 159996 = 0. Round d to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23307 is divided by 299?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwdwwwvddwfdwwdw. Give prob of sequence dvdf.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x - 1. Let s(c) = 14*c**2 - c + 1. Let k(r) = l(r) + s(r). Let i(f) = 3*f. What is k(i(t))?\nAnswer: 117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 + 184. Suppose -3*i - 11150 = -k*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.42 times 79132\nAnswer: 428895.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*c + 42. Let v(o) = 16*o**2 - o - 1. What are the prime factors of v(c)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.241 * 0.701.\nAnswer: 0.168941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -z + 4*z. Suppose 2*y - y - 283 = -3*r, 0 = y - 4. What is the greatest common factor of z and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 180.57?\nAnswer: 180.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2928087 or 2928073?\nAnswer: 2928073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-48))**36 assuming o is positive.\nAnswer: o**(-3456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4196354 - -5?\nAnswer: 4196359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiuite. Give prob of sequence eei.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -234310 from -1472.2.\nAnswer: 232837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193461609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 379*h + 41. Let d be g(28). Suppose 4*a + d = 3*m, 3*m - 5*a = 2*m + 3551. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 + 11 = 0, 4*o = -4*r + 44. Suppose 2*z + r*a = 3*a - 9, -z = 2*a + 4. Is 7 a factor of (-13)\/((-1)\/(-2)*z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 38 = 5. Let u(i) = -8*i - k + 0 - 2 - 4. What is the tens digit of u(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 17*f**3\/6 + 5*f**2\/2 - 11*f. Let q be 104\/24 - 6\/(-9). Is 30 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3524*i - 17568. Determine t(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.432521 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -0.07, -2\/5871, 0.3, 0.4?\nAnswer: -2\/5871","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-2058)\/(-12))*(-63)\/18.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -228485907.\nAnswer: 91394362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.01012.\nAnswer: -0.03036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 239\/142280?\nAnswer: 239\/142280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 4*w + 4. Let o = 1597 - 1600. Let u(b) = -b + 1. Calculate o*r(d) + 12*u(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 493445453 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-7)\/((-294)\/(-35)))\/(10\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -24*z - 190. Let o = 608 + -616. Let c(q) = 4*q + 4. What is the remainder when c(3) is divided by a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -4\/549, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12 + z + 12*z**3 + 0 - 20*z**2 - 8 - 5*z. Let v(w) = 12*w**3 - 21*w**2 - 4*w + 3. Let u(l) = 5*c(l) - 4*v(l). Factor u(f).\nAnswer: 4*(f - 1)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - o**4 + 4\/3*o - 7\/3*o**3 + 0*o**2.\nAnswer: -o*(o + 1)*(o + 2)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*t - 3*t - 1232. Let r be 131*(0 + 1\/6). Let u = r + t. Put u, 0.5, 2\/15, 3 in increasing order.\nAnswer: u, 2\/15, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*l = 2*w - 1876, 5*w - 3*l = 3138. Suppose -p = 4*a - 1272, w + 23 = 2*a + 4*p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14095?\nAnswer: 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 62*t - 4. What is v(3)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-19 - -18 - -29)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*o + 19 = -5, 0 = b + o. Solve -2*w = -2*p + b, 3*w = -2*p - 7 + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 + 2 + 1. Let m(a) = 13*a**d + a + 5 + a - 6. What is the lowest common multiple of 16 and m(1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2907, 4919, 7541, 11079, 15839, 22127, 30249?\n\"Answer: 51*j**3 - j**2 + 1658*j + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 0.402.\nAnswer: -9.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (0 + -1)*(-68 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 7*m + 5. Determine l(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 31. Let o be d(-6). Suppose -2*m - 2*f + o*f = -23, 0 = -m + 3*f + 13. Calculate the remainder when 10 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.971859 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -60\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 173 + 166 = -982 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3797, -3798, -3799, -3800, -3801, -3802?\n\"Answer: -i - 3796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 6 - 16925*k**2 + 16927*k**2 - 2*k. Let f(i) = i**2 - 2*i - 5. Determine -3*c(g) + 4*f(g).\nAnswer: -2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * -871.\nAnswer: -82745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -23. Let h = f + -15. Let w be (1*(29 + 1))\/h. Solve 6*o = o + w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -67*t + 2082. What is p(34)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33220112*c - 29214142 wrt c.\nAnswer: -33220112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 149 = -205. Suppose 4*s + q + 146 = -97, c = -3*s + q. List the prime factors of 1\/(-5) - 972\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(369\/(-205)*10\/236*18\/(-27))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - 3*p**3\/2 + 2*p**2 - 3*p - 2. Let t be n(-3). Sort -3, -1, t in descending order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 809 = 10*p. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwtznzz. Give prob of picking 2 z, 1 b, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/20 + d**3\/6 + d**2\/2 - 18*d. Suppose 1 = 2*w - 3*w. Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by 1.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559 - 541. Which is the nearest to k? (a) 1\/10 (b) -0.2 (c) -2 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2467 - 356. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, -654\/7, -5\/6, 0.05, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - -7) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.95236g in tonnes?\nAnswer: 0.00009395236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -7*a**6\/24 + 19*a**5\/20 + 13*a**4\/16 - 19*a**3\/12 - 3*a**2\/4 + 78. Find o such that w(o) = 0.\nAnswer: -1, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4323 - 1625*i - 4323 in the form a + b*i and give b.\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*y - 93, -3*y + 103 = -3*x + 7. What is the units digit of 2\/(-7) - 1410\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/8 + g**2. Let u(y) be the first derivative of -2*y**3\/3 + 2. Give j(u(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -14. Suppose -c*k - 2*k = -16. Solve -k*j - 6 = j + 4*r, 7 = -5*j - 3*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a8 + b?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7137 times 132\nAnswer: -942084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.56134 - 0.16134. Let j = -3 + 2.8. Which is the biggest value? (a) j (b) 0.09 (c) g (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126841657.4 to the nearest 100000.\nAnswer: 126800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z**4\/7 + 1799407*z**3\/7 - 18446858*z**2\/7 + 42294547*z\/7 - 1349832 = 0. Calculate z.\nAnswer: -449944\/9, 1\/4, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 5610541?\nAnswer: 5610533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11 + 2\/11*a**2 - 2\/11*a**3 + 2\/11*a = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 354 - 794 = 0. Is -88 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11407.\nAnswer: 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 46 = -4*u - 2*s, -4*s = -u - 19. Let j(o) = -o - 8. Let p be j(-8). Which is the closest to p? (a) u (b) 1 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031113021 (base 5) in base 8?\nAnswer: -17675602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1824 at most as big as -1832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -49. Let p = 2\/71 - -65\/213. What is the second biggest value in -1\/5, u, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 2*v**2 + v - 7. Calculate i(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 4*g**4 - 31*g**3\/6 - 7*g**2 + 6. Is d(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67840 = 11*w - 3979. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhshhhhh. Give prob of sequence rh.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003700498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32718.6 and -0.1.\nAnswer: -3271.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 824121173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 0.5.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247604?\nAnswer: 2, 3, 103967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t**2 + 5. Let g be 96 + (-14)\/(-7)*4\/(-2). Let f = g - 95. What is the hundreds digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-3\/14)*z*z)*z*z**(-1\/13) assuming z is positive.\nAnswer: z**(25\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-6 - -2)*4. Suppose -5*l - 30 + 110 = 0. Let q = l - t. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2860\/429*6\/(-16))\/(-20)*6\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77168\/(-1092) - (-14)\/3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 74. Determine g(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 116\/30*(-25)\/(-5) and 2\/(-5) + 1410\/(-350).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/72 and 121\/60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 4419090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 1979, 6592, 15591, 30440, 52603, 83544?\nAnswer: 124727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 + 4 = -2*p, -5*p - 3 = c. What is r in -1\/2*r**2 + 1\/2*r**4 + 3\/2*r**3 + p - r**5 - 1\/2*r = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o + 155 = 24*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 291\/(-970)*(-10)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15066, 15065, 15064, 15063, 15062, 15061?\n\"Answer: -s + 15067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203033120113 - -323?\nAnswer: 203033121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 219, 3, -1980 in ascending order.\nAnswer: -1980, -7, 3, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-312)\/(-208))\/(5\/1190). Suppose -4*j = -j - 126. What is the greatest common divisor of i and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -189*z**2 - z - 18. Let d(w) = 191*w**2 + w + 19. Let o(p) = 5*d(p) + 4*s(p). Find the second derivative of o(i) wrt i.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -1\/6 (c) -2\/21 (d) -55 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8347088t?\nAnswer: 834708800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) + 2) - -2*sqrt(128)*-4)**2.\nAnswer: 288*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imubbbbblbpubbi. Give prob of picking 1 u and 1 l.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/112 + 12*n**7\/7 - 144*n**6 + 6912*n**5 - 207360*n**4 + 3981312*n**3 + 2*n**2 - 3. Factor x(k).\nAnswer: -3*(k - 24)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -19\/3, 5, -3, 5\/12 in increasing order.\nAnswer: -19\/3, -3, -2\/9, 5\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 + 0 + -78) - (-33 - -14 - -18).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 - 129\nAnswer: -129.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 4*y**2 - 7*y + 8. Let d(a) = -a**2 + 2 + 2*a - 3 - a. Let q = -277 - -278. Let o(n) = q*r(n) + 6*d(n). Let o(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(612) + sqrt(612) - (sqrt(17) + (sqrt(612)*5)**2).\nAnswer: -15300 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72462 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1344 and -5\/4416?\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-29)*k)\/(k**(-41)*k) assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 32 = -5*m + 1, 154 - 62 = -15*k - 4*m - 89 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -14 - (55 - 75)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -o + 14, -3*o + 3*z - 5*z = -21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -15 in decreasing order.\nAnswer: -4, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/13 - 249410*g**4\/13 - 249408*g**3\/13 = 0. Calculate g.\nAnswer: -124704, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*x - 5*d, 4*x + 2*d = -12 - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38, 2420, -3 in increasing order.\nAnswer: -38, -4, -3, 2420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 1, -169, -44598 in descending order.\nAnswer: 1, 0.1, -5, -169, -44598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 7*w - 5*w + 5*d, -4*d = 5*w - 31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i**8\/560 - 37*i**5\/40 + 7*i**4 - 20*i. Let t(a) be the third derivative of n(a). Differentiate t(f) wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q + 15. Let g(l) be the third derivative of l**4\/4 - l**3\/2 + 2210*l**2 - l + 1. Let u(v) = 2*v - 1. What is q*g(t) - 8*u(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13245 - 3*v + 13245 + 12*v**3)*(4*v - 4*v - 2*v)*(2 - 3 - 6) as g*v**3 + h + m*v**2 + b*v**4 + o*v and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5734*t + 197067 = 53717 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4067 + 4103 + 85 + -1.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 2*h + 5*h**2 + 59*h**2 + 7*h.\nAnswer: 74*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s + 1380 - 6*s - 1377 + 4*s. Calculate x(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 678*q - 37373. What is r(-68)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10610, 16815, 23020, 29225, 35430, 41635?\nAnswer: 47840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 185*f - 4 = -180*f, -h + 2*f - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/65 - (-3)\/(-5). Let n = -8 + 6. Let h = 2 - n. Solve -4*s + 5*o = -0*o + 27, m = h*s - 4*o + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*k - 63 = 569*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -8 + 69\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146.39*-1.\nAnswer: 146.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 183 = -5*o, 3*o = 2*b + 2*o - 165. Calculate the remainder when b is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11051 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 56.63. Let x = -2.63 - q. Let h = -12\/23 + 154\/207. What is the closest to h in 2\/3, -4, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 52 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -1581?\nAnswer: 23715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-42) + (-50)\/(-14). Let v be (q - -5)\/(1 + 0). Solve v = 2*s - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 38 - 10. Find the common denominator of 79\/12*3\/c and 5\/(-110)*(1 + 8).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 387 = -2*i, 5*i - 945 = 5*l. Let u = 373 - i. List the prime factors of u.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 l when three letters picked without replacement from {x: 3, l: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 3*u + 3. Suppose -2446*p = -2440*p. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let f(a) = -100*a**2 + 7540*a - 7540*a + 1. Determine r(f(k)).\nAnswer: 20000*k**4 - 400*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4840) + 1*sqrt(4840) + sqrt(4840))*-5 + sqrt(4840))\/(sqrt(64)\/(sqrt(32)*6)) + 5)*4.\nAnswer: -7392*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + x - 5*x - 2761 = 0, -2*b + 2*x + 1104 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/77 in 0.03, -1.61, -2, 5, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14725384 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:55 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, -0.06, 6\/133, 3 in increasing order.\nAnswer: -4, -0.2, -0.06, 6\/133, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a + 4. Let k be a\/((-4)\/6) - 0. Let i = -369 + 368. Let n(r) = -2*r**2 + 2*r + 2. Let g(q) = -q**2 + q + 1. Determine i*n(x) + k*g(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -25. Suppose -4*d + 3*n = -2 + 5, -2*d + k*n - 4 = 0. Suppose -d*w + 237 = -102. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(27) - sqrt(27)) + -1).\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)\/v**(1\/2))\/((v\/v**3)\/(((v*v*v**(-2\/7)*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 45*r - 24. Is s(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 50*d - 528. Give g(36).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12809631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba (base 15) to base 13.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97120, -194241, -291362, -388483?\nAnswer: -485604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 87 = 3*s - 4*f, 4*s + 3*f = 119. Suppose s*y - 459 - 117 = 0. Calculate the remainder when 287 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 5*j + 8 + 3*j - 3 - 11*j**2 + 2*j. Let f be i(10). What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -46.999954. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21083)\/(-261) + -81)\/(2\/549) - 8\/1.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 4:45 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {c: 1, m: 5, j: 3, a: 1, u: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8716921 to the power of 1\/2, to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -2 - -2)\/((-2)\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 4737752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0276 - -392.9724. Let r = h + -395. What is the nearest to -1 in r, -21, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/(-5) - 3\/(-5). Let c = -5 + j. Suppose -2*x - c = -g, -4*g - 3*x = 11 - 56. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - sqrt(168)*2*-3)\/(sqrt(72)\/(sqrt(24)\/sqrt(4))))\/((1*((sqrt(49) - -1*sqrt(49)) + sqrt(49)))\/(1*sqrt(175))))**2.\nAnswer: 2450\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 16757*v - 593. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.3, -38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*h - 5928 = -3*h - 40704. What is the smallest common multiple of h and 594?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 42 = 23*r. Let h = 60 + r. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 8*o + 5. Let n be w(-6). Let y = n - 1. Let a be (3\/2)\/((-6)\/y). Solve -2*i - a*f + 10 = 3*f, -4*i = -f - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -26) + 14 - -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -82, -89, -100, -115, -134, -157?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98 - 86) + (1 - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 - 3*l - 2. Let a be s(4). Which is smaller: a or -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205400423 + 20?\nAnswer: 205400443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(1584) + sqrt(1584) + 4 + 4*((sqrt(1584) + -1 + -5 - sqrt(1584) - sqrt(1584)) + sqrt(1584)) + -4)**2.\nAnswer: -1008*sqrt(11) + 6777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 14, -5\/3, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46627286.\nAnswer: 2, 31, 752053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 3 (b) -3.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 12*s + 21. Let x be (-2)\/(0 - 5\/(-30)). Let q = x + -4. Let p be c(q). What is the highest common divisor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*k - 2\/7*k**2 + 6\/7.\nAnswer: -2*(k - 3)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24390338 and 50274.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 899482776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 42. Let q be n(6). Let g(m) = 7*m - 10*m + q*m. Let b(w) = 10*w. Determine g(b(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 + -2222200?\nAnswer: -2221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - -1)*7\/(-21). Calculate the highest common divisor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949366?\nAnswer: 2, 433, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z - 2*z)*(-6*z**2 + 3*z**2 + 4*z**2) - 42*z**3 + 123*z**3 + 32*z**3.\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-5))\/(-2)*49860\/22437\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (940\/210)\/(-47)*-21*(-42)\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 403, 788, 1335, 2050, 2939, 4008, 5263?\nAnswer: 6710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79710 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1803 - 1973 + 410 - 2600)*(-2*m - m + 5*m)*(3*m + m**3 - 3*m) in the form x*m**4 + k + j*m**3 + i*m**2 + d*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -4, -1.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.7 - -20.3. Let n = y - 118.7. Which is the second smallest value? (a) n (b) 1 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*x**3 + 32*x**3 + 297*x**3)*(x + 5 - 1 - 1).\nAnswer: 259*x**4 + 777*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1300*f**3 + 179*f**2 wrt f.\nAnswer: -7800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74455, -74141, -73827, -73513?\nAnswer: -73199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291 (base 13) in base 10?\nAnswer: 7047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v - 31*v + 0 + 0.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 89, 1\/3, 5.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*n + 4*n. Let j = n + 76. Suppose -j*u + 8661 = -19*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q - 21. Let d be n(2). Which is the nearest to 1\/6? (a) d (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*q + 143012, -5*q - 513*w + 143004 = -509*w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7154 - 150277\/21. What is the common denominator of 83\/6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682013?\nAnswer: 3, 19, 23, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -58. Suppose 0*a - 26 = -3*a - 2*j, 3*j = d. Calculate the common denominator of -127\/12 and 50\/a*13\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-14 - -3) + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188388070 a multiple of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 15*j + 8. Let d be l(-7). Let f be (10 - 6) + -2*d. Suppose -f*x + 51 = x. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 18 = 0. Let d be (5\/(-15))\/((-1)\/n). Suppose 5*u - d - 2 = 0. What is the greatest common factor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.624 - -0.376. Which is the nearest to 2\/3? (a) 3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/3)\/((-8)\/10) - -4. What is the closest to x in -0.1, -0.3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 105*n - 5. Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4105, 4122, 4151, 4198, 4269?\n\"Answer: x**3 + 10*x + 4094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, a: 8, y: 3}. What is prob of sequence mma?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4624*u**2 - u**4 + 4624*u**2)*(-1 + 1 + 2) as s*u**3 + v + d*u + j*u**4 + n*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w**2 - 2178*w + 52741. Calculate h(-189).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113698243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -657\/5 - -131. Which is the smallest value? (a) m (b) 1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*b = -2, -5*q - 4 = 2*b + 3. Suppose 12 = t + 3*t. Suppose -2*w - t*w = 0. Sort 5, q, w in descending order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 2*b - 5. Let i be v(-2). Let f = -17 + i. Let o be 5*(-2 - 12\/(-5)). Solve -f*c - o*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 719, 2889, 6507, 11567, 18063, 25989, 35339?\n\"Answer: -b**3 + 730*b**2 - 13*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9240 or -11679?\nAnswer: -11679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*t*u - 3*k**2 - 7*k*t*u + 3*k*u - 2*t*u + 17*u wrt t.\nAnswer: -2*k**2*u - 7*k*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:24 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4271 divided by 266\nAnswer: -4271\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (200\/(-8))\/5 - 52*23. Let u = 8384\/7 + b. Find the common denominator of ((-3)\/(-4))\/((-3)\/(-146)) and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-395)\/1106*36\/(-10))\/((-2)\/21)*-2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**3\/11 - 330*p**2 + 3636*p\/11.\nAnswer: -6*p*(p - 1)*(p + 606)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 1514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/55568 and -35\/62514?\nAnswer: 500112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 67*f**3 - 2*f**2 + 14. Let r(l) = 145*l**3 - 3*l**2 - l + 29. Let h(x) = 13*c(x) - 6*r(x). Give h(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (6*(-2*sqrt(171) - sqrt(171)) - sqrt(171)))\/((2*sqrt(90))\/sqrt(10)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 4*i - 7*i**2 - 3*i**3 + 10*i**2 + 5*i**3 to a*i + g + h*i**2 + s*i**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + f - 4*f. Let b be (-4)\/3*(-6)\/4. Suppose r + 0 = b. Solve 3*k + r*s + 11 = 0, s - 2 = -f*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -71. Let b = v + -26. What is the units digit of ((-3)\/b)\/(18\/(-156))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j**2 - 4*j + 8. Let i = 8 - 52. Let a be i\/(-10) + (-18)\/(-30). Is g(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16472120 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (19 - -1) + (-68 - -13 - -50).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:17 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(19\/(-114)). Suppose -b*f = -5*f. Suppose 3*u + f*t + 2*t = 109, 2*u - 5*t = 60. What is the remainder when u is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -798007 and -29.\nAnswer: 23142203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 1368*i**2 - 6684*i - 18872 = 0. Calculate i.\nAnswer: -2, 7, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -6, -2\/3, -4\/5, -5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -16, -5, 10, 23, 28, 19?\n\"Answer: -v**3 + 11*v**2 - 25*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 26 = -5*q, -q + 0*q - 2 = -2*j. Suppose 1 + 2 = -d, -j*v + 15 = 2*d. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -11 - -13 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1804)\/(-6) - 1\/(-3). Let d = 304 - t. Solve -d*a = 5*v - 2, -5*a - 10 = -3*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 3*y - 45. Suppose 3*k + 30 - 9 = 0. List the prime factors of z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**4 - 1560*j**3 - 29260*j**2 - 47520*j + 78336 = 0.\nAnswer: -16, -3, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-40))\/((-12)\/10))\/((168\/35)\/24)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60088 divided by 1624?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020684 to 5 decimal places.\nAnswer: 0.00207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**3 - w + 378. Let x(u) = 5*u - u - u - 2*u. Determine x(m(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71\/4 - 217\/12. Let g be ((-12)\/(-5))\/((-18)\/(-45)). Which is the closest to o? (a) -1 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**2 + 5*q - 5. Let t(d) = -3*d**2 + d - 1. Let l(g) = 11*t(g) - 2*y(g). Let m(j) = -3*j**2 + 6*j - 3. Calculate 5*l(w) - m(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 937694 and 29149466?\nAnswer: 6746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12576, 12571, 12564, 12555?\nAnswer: 12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**20*z)*z**(3\/7))\/((z*z**(4\/5))\/(z**(-4\/17)*z)) assuming z is positive.\nAnswer: z**(-12856\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:36 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6\/7, -47, 2\/5, -14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*t**2 - 1 + 1 - 66*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -63, 4 in ascending order.\nAnswer: -63, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232548 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {m: 3, x: 3, u: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1758 + 594643\/879. Let f = 655 - k. Let r = f - -22. Is r bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29 - 10)\/(2\/6). Suppose 0 = 5*z - j + 32. Let o(x) = -4*x**2 - 8*x. Let y(s) = -7*s**2 - 15*s. Give z*o(a) - 3*y(a).\nAnswer: a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -24. Let p = 43 + -49. Let o = p - n. Solve 1 - o = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3455, -5, 52, 4, 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 + 5*x + 3. Let h(m) = -m**3 + m + 1. What is -3*h(b) + s(b)?\nAnswer: 7*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 11. Give h(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 469.55 and 5.\nAnswer: 474.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*o = -5293, 2644 = k - 4*o + 2*o. Suppose -23*l = -29*l - k. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2379, -4280, -6181, -8082, -9983?\nAnswer: -11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 10\/(-4). Let a(s) = l*s + 2*s - 3*s. Let n(y) = -4*y - 14. Let o(q) = 2*q + 4. Let k(b) = -2*n(b) - 7*o(b). Determine k(a(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -0.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-146)\/(-365))\/(4 - (-4)\/((-720)\/719)). Solve -136*t = -127*t + j for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*v = 16, -4*w - v + 5 - 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335371 by -5.\nAnswer: -335371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -2\/27, -426, -0.37, -3\/7, 3?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2685)\/716)\/(1190\/816).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10082*k**2 + 2*k**3 - 10082*k**2 - 65*k.\nAnswer: 2*k**3 - 65*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21)*o\/((((o\/o**(-1\/8))\/o*o)\/o)\/o))\/(o**(-22)\/(o*o**(9\/7))) assuming o is positive.\nAnswer: o**(289\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(68)*1 + sqrt(68) + (sqrt(68) - sqrt(68)*2)*-1 + sqrt(68) + sqrt(68) + 0 + -5 + (sqrt(68) - (sqrt(68) + 1)) + -1)*-2)**2.\nAnswer: -3200*sqrt(17) + 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 7*d - 5. Let w = 3 - 7. Calculate p(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26511*w**3 - 26463*w**3 + 31*w**2 - 31*w**2.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -49, -4, -0.7, 4, -0.4.\nAnswer: -49, -4, -0.7, -0.4, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328095, -656205, -984315, -1312425, -1640535?\nAnswer: -1968645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 713060 by -13.\nAnswer: -713060\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 6. Suppose -j = 7*j - 8. Let a(d) = d. Calculate j*a(k) + o(k).\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 2*q**3 - 4*q**2 - 245 + 246 + 2*q + 2*q**2 to the form v + h*q + i*q**3 + u*q**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -295?\nAnswer: 4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*a**4 + 36*a**3 - 16671*a**2 wrt a?\nAnswer: -936*a + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10230 divided by 2\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32545 and -32?\nAnswer: 1041440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:39 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -6062\/41?\nAnswer: -6062\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3436.821mg?\nAnswer: 0.000003436821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -368574 times -3?\nAnswer: 1105722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - -106. Let l = -279 + y. Calculate the highest common divisor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (4 + 12 + -8) - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3034095230805 - 0.4\nAnswer: -3034095230805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07244734 to five decimal places.\nAnswer: -0.07245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -34*r**4\/3 + 27*r**2\/2 + 38*r. Differentiate w(a) wrt a.\nAnswer: -272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 731843.2mg?\nAnswer: 731.8432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -3*l - 3*z, -2*l + 4*z = -22. Let x = -34 - -140. Suppose -4*s = -4*k + 96, 9 + x = l*k - 4*s. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*o + 7*o - 42*o + 11*o - 16*o - 8.\nAnswer: -92*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 71803378*g - 143606748.\nAnswer: -2*(g + 2)*(g + 35901687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 4. Let w(l) = -24*l - 210. What is 5*n(v) + w(v)?\nAnswer: v - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 - -14.7?\nAnswer: 223.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.93 and 14667.\nAnswer: 42974.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, -769, -0.5, 32, 4, 1 in decreasing order.\nAnswer: 227, 32, 4, 1, -0.5, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = a, -a - 2*a - 11 = 4*b. Put 3, b, -5, 5 in increasing order.\nAnswer: -5, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -548 - -585. Which is bigger: j or 0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*x = 76, 7*v - 2*v - 87 = 3*x. Suppose -14*l + v*l = 44. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16666653359 + 0.5?\nAnswer: -16666653358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6258 and 590338?\nAnswer: 1771014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let a(b) be the third derivative of 319*b**5\/6 - 218*b**2. Determine a(o(v)).\nAnswer: 3190*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1099647kg?\nAnswer: 109.9647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 1005, 2252, 3997?\nAnswer: 6240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3057*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452 - 300. Find the second derivative of 16*p**2 - 3*p**4 - 21 + p**4 + d*p - 154*p wrt p.\nAnswer: -24*p**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -48923, 0.5, -2\/119 in decreasing order.\nAnswer: 4, 0.5, -2\/119, -48923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4681.2 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6655015 and 1285.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-26)\/(-18))*(-66672)\/14816 + (-38)\/(-22)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 62. Suppose 5*r - 1736 = 3*d, -2*d - 4 + 0 = w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.425 and 137696.\nAnswer: 58520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/120 + 3*h**5\/10 - 3*h**4\/4 + 11*h**3\/3 + 3*h**2 - 26. Give w(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 2.7. Let s = 0.01 + -0.05. What is the smallest value in s, 0, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 200*g - 200*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -2789, -7276, -13559, -21638, -31513, -43184?\n\"Answer: -898*h**2 + 3*h + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*v + 361*v + 480*v - 569 with respect to v.\nAnswer: 995","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*h = 227*h - 154 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.87 + 7.78. Let p = g + -2.7. Let n = p - -0.29. Put n, 0, -8 in decreasing order.\nAnswer: n, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -20*f + 15. Let a(z) = -z. Let b(k) = 2*k - 1. Let o(s) = a(s) + b(s). Let p(j) = -i(j) - 10*o(j). Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 202 + 83 = 0. Let j = -41 + c. Let w = 5 + -1. Solve -w*t = 4*a - j, 3*t - 10 = 4*a - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 16*r + 11. Let l be m(12). Let h = 61 - l. What is the third derivative of -2 - 3*c**3 - 2*c**h + 2 + 5*c**2 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928220*w + 928213*w - 1856432*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 127042*z**2 - 2540940*z - 38114600\/3.\nAnswer: (z - 381146)*(z + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.452394 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 5. Let h(d) = -d**2 - 4*d + 5. Let p be h(-6). Let w be g(p). Let o = w + 3. Solve 4*s + x + 9 = 0, 5*s + 3*x = 5*x + o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnnnnnwnwnwnwnwx. Give prob of sequence wwnn.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2640712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -315, -801, -1507, -2427, -3555, -4885, -6411?\n\"Answer: r**3 - 119*r**2 + 90*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -101\/8167, 0.14, 1?\nAnswer: -101\/8167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + -3 + 1 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/11 + 26*r\/11 + 80\/11 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(90)\/(sqrt(10)*-1))\/sqrt(3) + ((sqrt(30) + sqrt(30) + sqrt(30) + 1*sqrt(30))*3)\/(sqrt(10) + sqrt(30)\/(sqrt(12)\/sqrt(4))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 17762108.2.\nAnswer: 17762107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g - g)*(-1 - 2 + 5 - 5 - 2 + 5 + (-1 - 2 + 4)*(-5 + 1 + 2) - 3 + 3 - 1 - 2 + 4 - 4 + 3 - 5 + 1 + 3 - 4 + 2 + 2 - 3 + 0)*(-1 + 3 + 1).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/146 and 17\/2?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 21*c = 4888. Suppose 2*m - 2*d - c = 0, -5*m + 4*d = -456 - 486. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 0.85?\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/5 + 2*c**4 + 74*c**3\/3 - 4905*c**2\/2 - 3768. Find the second derivative of k(o) wrt o.\nAnswer: -12*o**2 + 48*o + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12791240 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 2. Let z be i(-2). Let o = 11 + z. Calculate the smallest common multiple of o and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1281 or 15810?\nAnswer: 15810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 2. Let z(y) = y**2 + 3. Calculate the lowest common multiple of z(-3) and j(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 509*b - 371. What is the tens digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.9242 and -4475.\nAnswer: -4477.9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 23*t**2 - 9*t + 711. Calculate the remainder when b(22) is divided by (-3 + 7 + 2)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k + 20. Let x(v) = -v**2 + 2*v - 20. Let u(t) = 5*j(t) + 4*x(t). Let y(w) = -2*w + 4. Let d be y(-3). What are the prime factors of u(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.87 - -1.23. Let h = -6.1 + i. What is the biggest value in h, -4, -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48863 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 534*h**3 - 1060*h**3 - 2 + 13*h**4 + h + 525*h**3 as x*h**3 + l*h + k*h**4 + s + g*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 3*v**3 + 0*v**3. Let q be k(1). Suppose -5*r + 0 = -2*h - 8, 0 = -q*h + 2*r + 22. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 + 0*p**5 + 0*p**3 + 3\/56*p**8 + 0*p**2 + 0*p**6 - 7\/6*p**4 + 0*p**7 - 24*p. What is the third derivative of h(s) wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-66 + 78\/(-234)*(3 + 9) + 11\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2 + 7*u + 7. Let o(q) = 15*q**2 - 5*q - 4. Let p(x) = 35*x**2 - 9*x - 7. Let k(g) = -5*o(g) + 2*p(g). Calculate -7*k(d) + 6*r(d).\nAnswer: -d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.970267 + 56.267997. Let z = 148 + -203.3. Let t = m + z. Round t to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -19. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13852 divided by 4.\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -444808.807 to the nearest one hundred.\nAnswer: -444800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 2*c = -3*i + 18, 4*i - 1 = 5*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -3*i**5\/20 - i**4\/3 - 5*i**3\/6 - 3*i**2 - 14*i. Is v(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*-4 + sqrt(66) + 3*sqrt(66)*1)\/(1*-2*sqrt(600)*3).\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381079427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -25. Let i = 0.13 - 0.12. What is the smallest value in i, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21176 and 1576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 784 - -3?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 2 i when four letters picked without replacement from {x: 2, b: 1, i: 3, s: 1, e: 2, u: 9}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - m**2 - m - 12. Let p be g(-3). Let n = 165 + p. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04549 and 4.\nAnswer: 3.95451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - 10*s**2 + s**2. Let x(a) = -12*a. Let c(z) = 13*z - 4*z + 20*z - 6*z. Let m(l) = 6*c(l) + 11*x(l). Give d(m(k)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = x - 155 - 68, -2*v - 8 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 75?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t**3 - 3 + 3)*(0*t - 3*t + t) - 4*t**3 + 4*t**3 - 2*t**4 + 3*t**3 - 3*t**3 - t**4)*(-11*t + 0*t + 2*t).\nAnswer: 45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1413, 2973, 4511, 6015, 7473, 8873, 10203, 11451?\n\"Answer: -2*s**3 + s**2 + 1571*s - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 (base 7) in base 11?\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-11 - -9)\/(-4 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {b: 3, x: 4, c: 4, k: 1, t: 4, j: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 998 = -1102 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 152 and 0.5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2535809.8 to the nearest one thousand.\nAnswer: -2536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3916952 and 2236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 333, 390, 447, 504, 561, 618?\n\"Answer: 57*f + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6519 divided by 3\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34030 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2185031 to the nearest integer?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 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: Suppose -3*g = -3 + 15. Let d be (3 - 78\/15) + (g - -6). Which is the closest to d? (a) -1 (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.7 - 44.6. Let l = 24.9 + g. Which is the nearest to -2\/3? (a) -2\/31 (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let v = 275 + -269. What is the second smallest value in v, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d + 32. Let n = -15 - d. What is the remainder when ((-6)\/(-9))\/(1\/3) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from {w: 2, s: 1, h: 1, f: 1, d: 2, j: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 + 3*r**2 - 6*r + 4. Let f(k) = 17*k**3 + 9*k**2 - 17*k + 11. Let t = -58 - -47. Determine t*h(p) + 4*f(p).\nAnswer: 2*p**3 + 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148300*w + 5*w**2 - 96*w**2 - 146861*w + 295162*w.\nAnswer: -91*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4877211 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 486eb08?\nAnswer: 486eb07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/(-140)*(-10)\/4. Suppose -3*b = 0, 0 = -2*u + 4*b + b + 4. Let o(l) = -u*l**2 + 7*l**q + 8 - 8. Determine o(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 30*t**2. Let x(q) = -143*q - 84003. Give x(g(o)).\nAnswer: -4290*o**2 - 84003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 15 = 0. Which is the smallest value? (a) 0 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/36 and 149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 7) in base 10?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304789776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*n - 9, -3*n - 1 + 4 = -2*u. Calculate the smallest common multiple of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) + (-120)\/(-54). Let j = 4 - u. Find the second derivative of -3*f**j + 5*f**2 - f**2 - f + 0*f**2 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d + 56*d - 165*d + 54*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8115107 litres in millilitres?\nAnswer: 811.5107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Suppose 2 = -123*v + 248. Which is the nearest to i? (a) 0.1 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-20))\/(2\/8*2). Which is smaller: -1\/353 or n?\nAnswer: -1\/353","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 39*k - 1617630. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7942*m**3 - 10480*m**2 + 70552640*m wrt m.\nAnswer: 47652*m - 20960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 91 = -5*v, 2*v = -0*v - 2*i - 28. Let p = 13 + v. Let w = 0 - -1. Put w, p, 3 in descending order.\nAnswer: 3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 2, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -996*l**3 + 2*l**2 - 2303*l.\nAnswer: -5976*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/3, 2.4, 3, 8\/229 in decreasing order.\nAnswer: 3, 2.4, 8\/229, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 47. Let l(m) be the first derivative of m**3\/3 - 4*m**2 - 8*m - 1. Let o be l(b). Are o and 1\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*i**5 + 11*i**4 - 197*i**2 + 566733*i wrt i.\nAnswer: -920*i**3 + 132*i**2 - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-14) + (-2)\/(-7). Let s = -1.7 + 1.6. What is the nearest to 0.2 in 3\/5, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 7*m**2 + 51*m + 454. Calculate the lowest common multiple of s(-10) and 24.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4554 = 1036*h - 1069*h. Which is the second smallest value? (a) 2\/7 (b) -3 (c) 3 (d) 4 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -2\/3 (c) 1\/2 (d) 5 (e) 3.409\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 + 42*b - 92. Give u(6).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -155*k**2 + 4*k - 29. Let t(n) = -n**2 - n + 4. Let y(w) = -b(w) - 4*t(w). Differentiate y(h) with respect to h.\nAnswer: 318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + l**3 + l**2 - 6*l**2 - 5*l - 2. Let k be t(6). Suppose p = -p + k, m - 7296 = 2*p. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/9 + 10\/45. Suppose 2*j = -3*t - 1, j - 1 + 2 = -2*t. Suppose -j = -n + 1. Does n = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-6))\/(96\/(-180)))\/((-15)\/(-84))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 9. Solve 2*m = -n*z + 3*m + 8, -5*z + 6 = 2*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, 7.8 in descending order.\nAnswer: 7.8, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862931273?\nAnswer: 23, 89, 421559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + j**2 + 12. Let m = -1 - -1. What is the tens digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.369 - 0.129. Let k = g + -2.24. What is the nearest to 0 in k, -1\/6, 10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.5 (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9904 and 32807.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 12. Let u(k) = k + s - 5 + 0*k + 0. Let f be (15\/12)\/((-1)\/4). Let g(p) = -p**2 - 2*p - 5. Give f*u(d) - 2*g(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8053, 8134, 8275, 8482, 8761, 9118, 9559?\n\"Answer: t**3 + 24*t**2 + 2*t + 8026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030746228236 minus 0.3?\nAnswer: -1030746228236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i - 2*z + 994, 0 = i - 2*z - 342. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*z + 224*z = 2371181. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let m(j) be the second derivative of j**4\/6 - 2*j**3\/3 - j**2 + 14*j - 1. Let f(i) = -3*i**2 - 4*i - 2. Let w be f(-2). What is w*r(k) + m(k)?\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.089 + 2.089. What is the second biggest value in 0.1, 50, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91990, 6, -3, 3, 4 in decreasing order.\nAnswer: 6, 4, 3, -3, -91990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -208 in 2, -3, -1\/4, -7, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 16. Suppose 0 = r*l - 28 - 50. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) + (2*sqrt(6050) + sqrt(6050))*-4)**2 + 0 + (sqrt(600)\/sqrt(300))**2 + 5.\nAnswer: 732057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57 + (16 - 1)\/5. Let r = y - 36. Calculate the smallest common multiple of 30 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271677 (base 10) in base 6?\nAnswer: 5453433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 396070453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 5628.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(-368*s**3 - 28 - 28 + 59).\nAnswer: 736*s**4 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2 - 191*v - 35*v - 29. Is j(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -21. Suppose 2*b - 3 + 1 = 0. Let x = r + b. What is the highest common factor of 160 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(80\/886852))\/2. Let o = j - 11082. Let z = o - 17\/5. What is the closest to 1\/4 in z, 0, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 - 1. Suppose 0 = -13*v - 11*v - 24. Let t(f) = 7*f**3 - 18*f**2 + 2*f + 3. Let m(r) = v*t(r) - 6*g(r). What is m(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h**2 + 2. Let i(v) = -4*v**2. Give l(i(x)).\nAnswer: 192*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961.1 + -1041. Let f = u + 87. Let m = -7 + f. Which is the closest to m? (a) 5 (b) 0.1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 43, 64, 85?\n\"Answer: 21*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x = 0. Let d(o) = 1 + x*o + 5*o - 3*o. Let f be d(1). Solve -3 = f*h - 0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 32.1, -6, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsrh when four letters picked without replacement from {h: 3, r: 2, s: 4, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.3, 0.5, -0.5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 820553687 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 671563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2062 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -87. What is the smallest common multiple of l and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l + 5*y - 195 = 0, 4 = -y. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(4 + (-3*(sqrt(1331) - (-5 + sqrt(1331)) - sqrt(1331)))**2*-3 + -3) + -2.\nAnswer: -2970*sqrt(11) + 36604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2746692 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5 = -0*b + z, 5*z = 25. Suppose -v + b*v = -3*o - 26, -4*v = -2*o - 64. Let m be (80\/v)\/((-6)\/(-21)). Solve -h - m = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*p = -0*p + 14, 0 = h + 5*p + 17. Suppose h*k - 270 = -3*m, 5*k - 110 = -2*m + m. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.064, -23, -1, -7\/3, -6\/5, -0.044, 4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282 = 19*a + 162. Are a and -77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 5:15 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/8 + 24013*d\/4 + 3993047\/8 = 0.\nAnswer: -83, 48109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*s**2 - 6180*s + 3089*s - 901*s**2 + 445*s**2 + 3091*s.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = 3*y. Suppose -5*f = -3*u + 23, 2*f + y = 2*u - 5. Suppose o + 3*q = u + 1, -q = 3*o - 6. Solve 0 = o*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-16)\/40*(-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 e, and 1 f when four letters picked without replacement from {e: 6, f: 3, t: 6}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = -2*l. Let c be 6\/225*25\/(-20). Let u = -47\/510 - c. Is l at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -831, -3940, -8987, -15966, -24871, -35696?\n\"Answer: k**3 - 975*k**2 - 191*k + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292115 at most 292114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/7 (c) -168 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 14b?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -352?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 75. Calculate q(28).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4805 - 4805.09. What is the second biggest value in g, 14, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 - 10*y**2. Let c(z) = -3*z**2. What is c(b(i))?\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 25*g + 51. Determine a(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -4532\nAnswer: -1087.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08588ml in litres?\nAnswer: 0.00108588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/756 + (0 - (-10)\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20400646 by -34.\nAnswer: 600019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 638*q - 65018. Determine y(102).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/24)\/(-15 - 221\/(-13))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7317*d**2 - 4 - 14624*d**2 + 7321*d**2 + 4. Let m(v) be the third derivative of v**2 + 0 + 0*v + 0*v**4 - 1\/60*v**5 + 0*v**3. What is m(l(k))?\nAnswer: -196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g**2 + 2*g**2 + 4*g.\nAnswer: 3*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 6*f - 9*f - 75. Let n = -1 + 2. Let z(i) = 24*i**3 + 1. Let y be z(n). Is y >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6997*g. Let j(m) = -498*m. Calculate j(f(r)).\nAnswer: -3484506*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1836.9 + -1837. Let v = -8.5 - -0.5. Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8912268312?\nAnswer: 2, 3, 509, 729557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -193490000 to the nearest 1000000.\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*5*(-1 + sqrt(171) + sqrt(171)) + (4 + 2*sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171) + 1 + 3))) + -5 + 5)**2.\nAnswer: -374616*sqrt(19) + 22562083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1721, 2443, 3215, 4037, 4909, 5831, 6803?\nAnswer: 7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -49, -224, -581, -1180?\nAnswer: -2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*f*n**4 - 86*f*n**3 + 77*f + 4*n**4 - 67*n**3 - n**2 + 42039 wrt n?\nAnswer: 4704*f*n - 516*f + 96*n - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244886 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 13790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((378\/(-112))\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h + 13*h = 3104 - 480 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.7062ug in milligrams?\nAnswer: 0.8847062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 1478989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 + 348. Suppose b*q - 4*f + 2*f = 101, q - 4*f - 31 = 0. Calculate the remainder when 315 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1046468, 1046469, 1046470?\n\"Answer: w + 1046467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34078, 68189, 102320, 136471, 170642?\nAnswer: 204833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36837643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 3. Let i be r(2). Suppose 15 + i = 5*w. Solve 2*v - 7*v = w*m + 29, 4*m + 9 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84336847 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q*x**2 - 2*q*x + 25*q - 407*x**3 - x**2 + 3051 wrt x?\nAnswer: -8*q*x - 2*q - 1221*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 111, 251, 449, 705?\n\"Answer: 29*p**2 - 5*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348994?\nAnswer: 2, 47, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b - 3)*(136 + 256 + 12 + 136 + 14).\nAnswer: 1108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6780081 (base 10) to base 16.\nAnswer: -6774b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 2*a + 1. Suppose 4 = -0*q + 2*q. Suppose -6*x + 5*x + q = 0. Let s be y(x). Solve -s + 5 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*v**2 + 11510*v**3 + 181 - 181 + 184*v**2.\nAnswer: 11510*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**3 - 2*j**3)*(22 + 22 - 5).\nAnswer: -117*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 440560.7 tonnes in micrograms?\nAnswer: 440560700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - m + (3 - 3 + 1)*(2*m - 2*m + m) - 6*m + 0*m + 4*m)*(2 + 5*m - 2).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -408*r**2 - 22*r**2 + 134*r**2 to the form u*r + c*r**2 + i and give c.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**13 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let x(j) = 27*j**2 + 15*j - 30. Let c(d) = -7*d**2 - 4*d + 8. Let l(y) = -15*c(y) - 4*x(y). Determine f(l(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3148 - -9454\/3. Factor -b*l + 1\/3*l**2 - 11\/3.\nAnswer: (l - 11)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9132263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*y - 6, -7*c + 8*c - 3*y + 9 = 0. Let p(k) = -27*k**3 - 4*k**2 - 2*k + 16. What is the tens digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.981 - -0.019. Let y = o - 25. Let h = -2.086 + 0.086. What is the third smallest value in y, 0.3, 0.7, h?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - (-22 + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 16*o + 10. Let m be f(8). Suppose -40 = -m*u + 10. Solve q = -u*i - 22, 4*q - 4*i = 2*q + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 26 = -2*w + 5*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 417*r**2 + 6045*r - 5482. What is d(431)?\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqsishas. What is prob of sequence asi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5 + 17*y + 3.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -2511177?\nAnswer: 2511185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0461012 rounded to four decimal places?\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 37480?\nAnswer: 37480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553726637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -16 - (-16 + 7 + (-3)\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 101, 1\/10, -2\/23, -1\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 8. Suppose n*k = 0, -t - k = -0*t. Let d = 13 - t. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/3 - 8135*t\/3 - 3094000\/3 = 0. What is t?\nAnswer: -7735, -400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140.2 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 10*k + 16. Which is the closest to k? (a) 0.3 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198 + 110 = 12*r. Suppose 6*f - r = 485. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Suppose -20 = -4*z, -4*g + 9*g = -v*z + 45. What is the second derivative of -5 - k + g + 1 - 3*k**3 wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.31 + 26.31. Sort -6\/11, n, 1\/8 in decreasing order.\nAnswer: 1\/8, -6\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 - (4 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 527249174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n)*(3 - 1 - 3)*(-12 + 12 + 29*n).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1039830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/13 (b) -3\/7 (c) 4 (d) 1077 (e) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/9 + 2*v\/9 + 16\/3.\nAnswer: -(v - 8)*(v + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -19*o + 9*o. Calculate the least common multiple of o and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 5 + 2656*u**2 - 16 + 1 - 2663*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 12:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -854 - -856. Sort -3, 79, -2, z in decreasing order.\nAnswer: 79, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 11*a**2 + a - 14. Let j be x(11). Let b = 2 - j. Suppose 53 + 5 = 3*p - b*l, p = -4*l + 8. What is the highest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 - 9 = -2*n, -3 = -3*n. What are the prime factors of -2*i*(-44)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8795 + 10069. What is the greatest common factor of j and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/35)\/((11712\/560 - 21)*91\/2).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**3 + 7*k**3 + 6*k**5 + (-3*k**2 + 4*k**2 - 3*k**2)*(-2*k**2 + 2*k**2 - k**3).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 68 = -k, -k - k - 3*b + 157 = 0. Suppose 9*w = 7 + k. Is w at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-22 - ((-17 - -15) + -8) - -14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131109745*y**4 - 36*y**2 + 242359*y.\nAnswer: -3146633880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*-1*2. Suppose -116 = -30*t + t. Let n be (-6 + 11)*(2 - 1). Sort n, t, x in descending order.\nAnswer: n, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10619263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -16. Let b(d) = 31 - 31 - d**m. Let v(n) = -3 + 3 + 9*n - 12*n. Give v(b(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3422 - 3417. Suppose -4*d = -2*d + 16. Let k = -8 - d. Solve k = -c - c + z*t - 11, 0 = 4*c - 4*t + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200) + -2)*-2)**2 - (-1*sqrt(64))\/(-3*sqrt(128)).\nAnswer: -sqrt(2)\/6 + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2. Let k(q) = q + 65. Give k(t(w)).\nAnswer: -4*w**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.8043 grams to milligrams.\nAnswer: 642804.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1723288 divided by 430822\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -48. Let y be ((-34)\/(-4))\/(w\/50). Do y and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and -18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37801.\nAnswer: 103, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + 200?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1080963, -2161932, -3242901?\n\"Answer: -1080969*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o + 0*o)*(0*o + o - 3*o) + (-139*o - 165*o - 91*o)*(2*o + 3*o - 2*o + (-4 + 7 - 2)*(-o + 1 - 1) + (-1 - 1 + 3)*(2*o - 5 + 5)).\nAnswer: -1586*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 + 10 - 10 - 2*u**2 - u + u + (2*u**2 + 2*u**2 - 2*u**2)*(3 + 3 - 4))*(5462*u - 2548*u - 2750*u) to r*u + x + o*u**3 + b*u**2 and give o.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39284969 to the power of 1\/2, to the nearest integer?\nAnswer: 6268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/16 - 97\/80. Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 - 3 + 15*s**3 - 3 - 3*s + 2 + s**2. Let f be r(3). Let n = 6741\/23 - f. Is n greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*(-4)\/(-5)*(-644)\/184.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:04 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4681 less than or equal to -4673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861383611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*k**2 - 2*k - 6*k + 7*k**2 - 11*k**2 wrt k?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -1110600?\nAnswer: -1110611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/350 + k**6\/40 - 7*k**5\/100 + 3*k**4\/40 + 33*k**2 - 1. Solve g(v) = 0 for v.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-220)\/(-88)*8\/10. Suppose 4*l + y = 9*l - 15, a*l - 4*y = 6. Solve 3*p - 5*p - 2*x + 12 = 0, 2*p + l*x = 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 - -133. Is -4 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 250*c**3 - 258*c**3 - 5 + (-2*c**2 - c + c)*(-c - 4*c + 3*c) + 3*c**3 + c**3 - 2*c**3 + 0*c**2 + 0*c**2 - 5*c**3.\nAnswer: -7*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7225 take away 15834749205?\nAnswer: -15834749202.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 29*d - 72*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23133460 divided by 4?\nAnswer: 5783365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/5 - 356*m**3\/5 + 16662*m**2\/5 - 169956*m\/5 + 73872 = 0. What is m?\nAnswer: 3, 10, 57, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 1272 = 3*b + p, 414 = b - 5*p. Calculate the remainder when b is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 71 + 27 + 22*m - 162 to p*m + r and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -65 + 1 + -5 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 5655\/30)\/(1\/2). Let t = r - 375. Solve -3*b - b + 5*g - 45 = 0, 2*b = t*g - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 - 15\/(-12). Which is the third biggest value? (a) -0.2 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66448, -66490, -66604, -66826, -67192, -67738, -68500, -69514?\n\"Answer: -6*f**3 - 66442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/((sqrt(121) - (sqrt(121) + sqrt(121)*-3))\/sqrt(11)))\/(-3*1*sqrt(180) - sqrt(180)) + -1.\nAnswer: -1 - sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Which is greater: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 4, i: 5}. Give prob of sequence yyff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**3\/3 - 125. Let c(g) = -3*g**2 - 85*g. Determine c(x(a)).\nAnswer: -12*a**4 + 170*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1 + 94 + -123?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 4*f + 19, -m = -4*f + 7. Suppose 3*b + 5*g - 5 + 3 = 0, -3*g = -5*b + 60. Suppose 4 + b = p. What is the greatest common factor of p and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 94 = -852283*k + 852290*k, f + k + 48 = 0 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-5))\/(4\/120). Let m = u - 7. Let q = 86 + m. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 306, -3.\nAnswer: -3, 5, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2 + 18. Let h = -7 - -6. Which is the nearest to 0.1? (a) -3 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2139656530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3048*m**4*o**3 + 14*m**4*o - 153290*o**3 wrt m?\nAnswer: -12192*m**3*o**3 + 56*m**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -91*l - 17. Let k be a(-4). Suppose 0 = 2*y - k + 25. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 4:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 - -0.56. Let u = z - -0.01. What is the second biggest value in u, -1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -71, -103, -135?\n\"Answer: -32*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 2*i**2\/7 - i - 4\/7.\nAnswer: (i - 4)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - p = 106 + 113, -4*p - 543 = -5*n. Calculate the remainder when 131 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18590 and 143?\nAnswer: 18590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:06 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22383620.\nAnswer: 2, 5, 7, 101, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-156))\/((-2)\/6). What is the nearest to 1 in -7, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 4a?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/17, -5, 2\/5 in decreasing order.\nAnswer: 2\/5, -1\/17, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -44?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134425 * 3.\nAnswer: -403275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-22)\/(-8). Suppose -8 = 2*u + 44*y - 46*y, 2*u - 4 = 5*y. Sort u, 3, o in decreasing order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-18)*1960\/(-5096)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2770 + 722*f + 2*f**2 + 4094 - 1260 - 738*f - 2*f**3 wrt f?\nAnswer: -6*f**2 + 4*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2046 + 778.4586\nAnswer: -1267.5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**3\/3 + 3*m**2 + 4*m - 1. Calculate the remainder when 31 is divided by d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(91 + -92) - (-104)\/(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12*3\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856886 is divided by 499.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 2 + 4*o**2 + 5*o**2 + (0*o - o - o)*(2*o - 4*o + 0*o) to the form y*o**2 + w + t*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.74 and -0.3.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/(8371\/4283). Let p = f + 4\/761. Calculate the common denominator of p and -103\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-1)\/10 - (-69)\/(-165). Put -0.5, -5, u, -2\/3 in ascending order.\nAnswer: -5, -2\/3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r - 4. Let t(f) = -f**2 - 5*f + 7. Let p be t(-7). Let q(h) = -h**2 - 6*h + 10. Let j be q(p). Calculate d(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51117.77 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20498)\/(-1385))\/((-6)\/3)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1680\/20*1*2. Suppose l + q = -6*l. Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832467 to the power of 1\/2, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k + 1\/30*k**6 + 0*k**5 - 1\/6*k**4 + 3*k**2 + 0*k**3 + 0. What is the second derivative of p(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p + 2*p - 3*p - 8. Let w(j) = -7*j**2 + 6*j + 8. Let q be w(7). Let c = q - -293. Calculate m(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 1, a: 5, u: 5, f: 8, o: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 581823136167*v - 581823136167*v.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 11 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*x**(-30)*x\/(x*x**(8\/5))*x*x\/x**(-5\/7)*x assuming x is positive.\nAnswer: x**(-941\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/1 - -2)\/1. Let t(l) = -l**3 - 6*l**2 + 2. Let q be t(-6). Factor p*h**q - 2*h**2 - h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbnwzwznnzzzwwn. Give prob of sequence wv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-22)\/(-6))\/((-3)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -10, -2*m - 3*m - 5*o = -340. Let t = 244 - 219. What is the remainder when m is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 639 and 29181.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/(-42))\/((-1)\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 831 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 29*o**7\/210 + o**5\/60 + 38*o**3\/3 - 11*o**2 - 11*o. What is the third derivative of y(q) wrt q?\nAnswer: 696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 20.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 22.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - -125. Calculate the smallest common multiple of b and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1248\/1386)\/(-16)*6 + 90\/210?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189892.4526 rounded to the nearest 10?\nAnswer: 189890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10637 is divided by 291.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70858*b - 5 + 17 - 12 - 70859*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 9931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1920026030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(8 + -2) + 14. Suppose 5*g - 27 = -u - 8, 3*u + g = l. Solve -b + 4*r - 4 = 2*r, -5*r + u = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**3 - 7*z**2 - 5*z + 16. Suppose -46 = -89*v + 71*v + 44. Let h(b) = 9*b**3 - 5*b**2 - 3*b + 11. Calculate v*d(j) - 7*h(j).\nAnswer: 2*j**3 - 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6127468 is divided by 2075?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222.927 micrograms in tonnes?\nAnswer: 0.000000004222927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/330 and 11 + -4 + (6741\/(-1188) - 2).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 2. Suppose -u*i = 0, -3*z - 6*i = -5*i + 6. Let x(j) = -5*j - 2. Let m be x(z). What is the greatest common factor of 56 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1727664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*o + 5, 6*o = 4*j + 8*o + 8. Let y(l) = 2*l**2 - 8*l - 8. Let w(u) = -u - 1. Determine j*y(h) + 8*w(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:59 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 b when three letters picked without replacement from emumptbe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3\/2, 0.1, -454?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4313 is divided by 671?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1708 and -0.09692.\nAnswer: -0.016553936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*a - 70 = 0, 0*a = -5*o + a + 120. Solve -g + o = 5*f, -4*f = 2*g - 2*f - 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 17*v. Let z be c(0). Find u, given that z + 2\/13*u - 6\/13*u**2 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 2233.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82301*u - 73 = -82306*u - 3*b, -11*u + 39 = -b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-55) - (-4)\/22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 7) to base 12\nAnswer: -51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10))\/((-270)\/(-360)*1\/(-10))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10035631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 29*f + 4*f - f as u*f + i and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*r + 1834252 = 334246, -2 = r. Round t to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Let t be (-3)\/(-12) + 29\/(-84). Is w <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.022001*-0.1\nAnswer: 0.0022001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11\/d)\/(d\/d**(3\/7))*d**(-16)*d*d**13 assuming d is positive.\nAnswer: d**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + a - 180 = 0, 7*a = 8*a. What is the hundreds digit of (q\/(-2) - 0)\/((-160)\/(-3840))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by 95.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((1 - -1) + -11 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27927098.\nAnswer: 2, 491, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -891 = 5*a - 38*a. What is the remainder when 40 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*n - 302586 - 158952. Is n a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125b3a3 - 100?\nAnswer: 125b2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, -1, 0 in increasing order.\nAnswer: -217, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -14*x + 15 + 7*x - 5*x + x**2. Let l(b) = 11*b + 93. Let a be l(-8). Suppose 5*t = a + 45. Determine j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-27610376\nAnswer: -30371413.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5768 - -6152. What is the remainder when m is divided by 106?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1493, 1200, 907, 614, 321?\n\"Answer: -293*h + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 2 + (-23 - -18 - 15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25477 is divided by 530.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 27*p**2 + 3*p - 3. What is the tens digit of j(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 57. Sort 25, 2, s in decreasing order.\nAnswer: 25, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 3. Let b(s) = -9*s - 8. Suppose 8*m - 5*m - 5*f = 16, m = -f - 8. Let u(t) = -9*t - 9. Let x(l) = m*u(l) + 4*b(l). Give -5*r(d) + 3*x(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + y + 12 = 0, 5*x = -35*y + 31*y - 6. Sort 2, -5, 80, x in descending order.\nAnswer: 80, 2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 8, 25, 52?\n\"Answer: 5*l**2 - 8*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3966 divide 974652858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 1, m: 2, e: 1, c: 2}. What is prob of picking 3 c and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48146.\nAnswer: 2, 7, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7932 = 5*a - 8032 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11000 and 19008.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4629 from -8507133367.\nAnswer: -8507137996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v = -14*v + 266070. Let o be (-9431)\/3 + 4\/6. Let r = o - v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488*h + t = -491*h + 109735, 146345 = 4*h - 5*t. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 times 0.16107?\nAnswer: 0.00660387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 81 = -31. Let u be (7\/(-14))\/(2\/a). Suppose 5*k + u = 4. Let s(t) = 3*t**3 + 2*t. Let m(y) = -y**3 - y + 1. Determine k*m(h) - s(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*i - 2*i + 12, -5*y - 4*i = -15. What is the hundreds digit of (136 + 0)\/((-14)\/(-10) + y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.02 (c) 3 (d) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6194\/9 - 117668\/171. Sort 0.9, 2\/11, 0.08, m in descending order.\nAnswer: 0.9, 2\/11, m, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v - 1167 = 1820 - 53 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23502154 (base 6) to base 12.\nAnswer: -2b795a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191373.97 rounded to the nearest 1000?\nAnswer: 2191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 4. Let y be m(-5). Let f = -2 + y. Is (f\/(-2))\/((-1)\/(-74)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28193909 divided by -6.\nAnswer: -28193909\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -29. Suppose -2*r = -5*w - 626, 0 = -5*r - 0*r + 2*w + 1586. Let o = -294 + r. Calculate the least common multiple of o and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1272)\/(-28) + 6\/(-14) and 11.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 1734*x**4 - 2*x**3 + 89 + 975*x**4 + 757*x**4 to q*x**3 + o*x + f*x**2 + i*x**4 + h and give h.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1077.5 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 + 113. Let y(l) be the second derivative of -l**5\/20 + 5*l**4\/12 - l**3\/3 + 5*l**2\/2 - 2*l. Give y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 3 + 4 + 2.\nAnswer: 11*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 129*x + 31. Determine t(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - 40\/(-24). Let g be v\/2*(-64)\/(-8). Suppose g*s - 2*s - 526 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 5. Suppose -3*l = -j + 29. Let v be 2\/(-8) + (-4002)\/l. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8993 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:47 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 851, -19.\nAnswer: -19, 82, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 815, 1646, 2477, 3308, 4139?\n\"Answer: 831*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 179322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 13 (c) 3 (d) -8 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-28)\/8 + (-107318)\/88. Let t = -1218 - j. Calculate the common denominator of t and -113\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56310.1 micrometers in millimeters?\nAnswer: 56.3101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -552891, -1106286, -1659681, -2213076, -2766471, -3319866?\n\"Answer: -553395*l + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 1 + 3. Let a = -28 + 25. Put 11\/3, -0.5, h, a in increasing order.\nAnswer: a, h, -0.5, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5466*z**2 - 1805*z**2 - 1114*z**2.\nAnswer: -8385*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.71 + -0.29. Let j = -59.091 - -59. Let q = j + -0.109. Which is the second smallest value? (a) q (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39218 + -8793. Is a a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -92. Let v = -103.5 - -104. What is the second smallest value in n, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dppv when four letters picked without replacement from {p: 3, d: 10, v: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 2 - 2 + (-1 - 2*b + 1)*(-4*b - b + 4*b) - 2*b**2 + 2*b**2 - 2*b**2)*(3 + 3 - 8 + (0 - 3 + 2)*(1 - 4 + 2)) to u + m*b + f*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1816, 2695, 3574, 4453, 5332?\nAnswer: 6211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-66)*((-240)\/(-2))\/(-12)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, d: 2, w: 1, q: 5, x: 2}. What is prob of sequence dd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/22*((-30)\/(-1260))\/((-1)\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -1 (c) -81 (d) 29 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 882720, 882790, 882890, 883020, 883180, 883370, 883590?\n\"Answer: 15*i**2 + 25*i + 882680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 41076?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1 = 3*u, 5*u + 3951*d - 25 = 3956*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1991*w**8\/336 + 1271*w**5\/20 - 2*w**2 + 103. What is the third derivative of z(r) wrt r?\nAnswer: 119460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-63) + (736\/18)\/4. Let r(l) = -l + 7. Let g be r(5). Let h(s) = -9*s + 96. Let p be h(10). Solve -g*m + i = -5*y, -y - 5 = -m - p*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123453 divided by 957\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4 - 2\/3*w**3 - 1\/2*w**2 + w + 3. Is k(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 31. What is the closest to -1\/3 in -5, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - y - 36 = 0, -4*a - 45 = 5*y + 27. What is the biggest value in -2, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -139*d**4\/4 - 916*d**3\/3 - 1796. Find the third derivative of u(w) wrt w.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-3)\/6*1*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = 3*j, -3*p = -3*j - 29 + 2. Calculate the remainder when 11 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from hhloffhlhhulohsulhhh.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -476.39919 to zero dps.\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 845 - 842. Let z = -1 + 0. Let h be (z\/3)\/(-1 + 0). What is the second biggest value in 5, i, h, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -458 - -486. Calculate the highest common divisor of o and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 29227.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 25. Suppose -p - g*p = -15. Suppose -2*t = -5*c - 72, -3*c + 138 + 104 = p*t. What is the remainder when t is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (-5 - -22 - 2) + (-1 - 4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3*f**3 + 17 + 8*f**3 - 7.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1201622198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -20. Solve -v - 6 = -3*v - 2*f, y = v + 4*f + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 8976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-192*(-16)\/960)\/(2\/(-30))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 15. Let i(s) = -2*s - 5. Let x(j) = 11*i(j) - 4*v(j). Give x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359 + 359 + 592*g**2 + 1667*g**2 to the form p + i*g**2 + y*g and give i.\nAnswer: 2259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 4887?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6237, 0.5, 1\/3 in increasing order.\nAnswer: -6237, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8021 + -47989\/6. Calculate the common denominator of (46\/7)\/(-10 - (-1946)\/245) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 172\/3. Let m = -32.4 - -32. What is the nearest to n in m, 1\/4, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 827, 3310, 7427, 13160, 20491, 29402, 39875?\n\"Answer: -3*s**3 + 835*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 41\/4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17150000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2716387 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*5\/110 + -6 + (-7 - -13).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507762 divided by -253881.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 79.35 (b) -2\/147 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggcgggggcggggcg. What is prob of picking 2 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.56 + -0.06. Suppose -2*v + 5*k = -49, 5*k = v - 34 + 2. Let s = v + -18. Which is the nearest to s? (a) -0.2 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37215 = -2503*i + 4676 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -499 + 499.03. Sort 5, -2, n in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.3. Let p = -16.5 - -11. Let a = p - -6. What is the second biggest value in -2\/3, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 plus 0.4?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -541, -556, -587, -640?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -121020212011?\nAnswer: 121020212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-110) + (-216)\/(-825). What is the smallest value in 0.1, k, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11249 and 16070.\nAnswer: 112490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o + 2. Let h be q(5). What is the lowest common multiple of 4\/(4\/h) - 2 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(30) - sqrt(270)*1)\/sqrt(6).\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = 6, 2*c = -2*m + 82. Suppose -44 = -23*z + 71. Calculate the greatest common factor of z and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*3\/18*2\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1 + 0*k**2 + 1\/4*k**4 + 9*k - 1\/3*k**3. Suppose t = 5*t. Give z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/105)\/((-1)\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3418 + -96.6582. Is o < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70448, 140897, 211346?\n\"Answer: 70449*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -207?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 434. Suppose 2*a - j = -4*c, 2*c + 82 = 3*c - 4*a. Suppose 5*g + 3*o + 12 = c, -g + 3*o = 8. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 136 = 4*k, -3*k - 20*b + 21*b - 102 = 0. Suppose -4*t - 3*l - 82 = -2*t, -4*t - 3*l = 152. Is k at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/6 - z**3\/3 - z**2\/2 + z + 11. Determine p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 7*m**2 + 14*m - 3. Calculate z(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 89*b**2 - 19712*b + 39424. Determine n(2).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + 0. Suppose 2*k = 5 + g. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 + 3*r**2)*(r - 6*r + 4*r)*(r + 1 - 1).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:44 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2411860.59 nanoseconds to days.\nAnswer: 0.000000027915053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60307? (a) 0.1 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 35*f**3 + f - 1. Suppose 5 = 5*v + s, 0 = 5*v - 2*s - 2*s - 5. Calculate the remainder when p(v) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6379134 nanoseconds to hours.\nAnswer: 0.0000000000010105315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8893*g + 8901*g + 3045*g - 20839*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.9556cm in nanometers?\nAnswer: 289556000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6961765*n - 5. Let c be z(-17). Let q be (8\/12)\/((-3)\/c). Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -7. Let t(i) = -i - 1. What is the smallest common multiple of w and t(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 i when four letters picked without replacement from ifdiwidiiiwwd?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -800010 - b + b - 4*b + 6*b**2 - b**2 + 800002 to the form p + s*b**2 + f*b and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11707.96 to the nearest ten.\nAnswer: -11710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857005?\nAnswer: 5, 71, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 11. Let j = -1 - o. What is the remainder when 42 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 51 (b) 6 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.94355 weeks to days.\nAnswer: 6.60485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36221988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6348504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.2, 5, 0, 4868\/15, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209.7 + 210. Suppose 0*z - 312 = 3*z. Let t = z - -523\/5. What is the third smallest value in t, g, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/8 (b) -0.5 (c) 34.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2)\/((-142)\/(-426)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 15988?\nAnswer: -1598.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -867*o - 4325. Suppose 4*v + d = 5, 7*d - 2*d = -4*v - 7. Let p(q) = 18*q + 1. What is the remainder when p(v) is divided by x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 16*z + 827 - 1183 = -24*z - 47*z, 2*r - 3*z + 69 = 4*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 4*w - 10, -22 = -3*s - w. Calculate the lowest common multiple of s and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21414, -60561, -99708, -138855, -178002?\nAnswer: -217149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -553 + 3323\/6. Let y(c) be the second derivative of 1\/2*c**2 - 7*c + r*c**3 + 0. Differentiate y(i) wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18*n**2 - n - 3. Suppose 5*y - 12 = 9*y. What is the hundreds digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 6359*l**2 + l**3 - 5179 - 6359*l**2.\nAnswer: l**3 + 8*l - 5179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/10)*p))**(-49))**42 assuming p is positive.\nAnswer: p**(-1029\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 39 = -q. Let f(b) = b**3 - 12*b**2 - 14*b + 15. Is f(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7848 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044 and 357222?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-8)\/((-40)\/45). Let l(a) = -6*a + 2. Let p(c) = -11*c + 4. What is h*l(w) - 4*p(w)?\nAnswer: -10*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -78. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8115 and -0.4.\nAnswer: 3246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 79. Suppose 0 = -l - 2*l. Factor -3 + r**5 + l*r**5 + 6 + 6*r**2 + 2*r**5 - w*r + 6*r**3 - 9*r**4.\nAnswer: 3*(r - 1)**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {q: 1, c: 14}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 + -359. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10552446*u**4 - 6251059.\nAnswer: -42209784*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y - 25*y - 126 = -35*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 10*z**2 + 3. Let i be q(10). Let v = 83 + -78. Solve -5*k + 4 = 4*y + i, 5*y = -v*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:58 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(15\/(-9)). Let z = 0.13 - 2.23. Let l = z + 2. Which is the closest to l? (a) k (b) 4\/7 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 54 + -3 - (-21 + 6 - 0).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11391903830 rounded to the nearest one million?\nAnswer: -11392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -405590 (b) 0.3 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*j**4 + 134*j**3 - 3*j**2*o**2 + 10958812*o**2 wrt j.\nAnswer: 552*j**3 + 402*j**2 - 6*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -74, -99, -106, -89, -42, 41, 166?\n\"Answer: l**3 - 44*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 5) to base 3.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*w = -k + 514, -2*k + 516 = -2*w. Suppose -3*i = -k - 98. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/9)\/((-2)\/(4 - 46)). Let m(p) = t*p - 113*p + 55*p. Let j(i) be the third derivative of 7*i**4\/12 + 2*i**2. Calculate m(j(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 - 0.2. Let w = -30.5 + r. Let h = 25.99999966 + w. What is h rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l + 4. Suppose 2*m - 4*x = 20, -2*m - 2*x = -l + 5. Let j(o) = -o**3 + 2*o**2 - 4*o + 3. Give j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/149955 and -47\/115350.\nAnswer: 1499550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i. Let p(y) be the second derivative of 5*y**4\/12 + y. Give p(a(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*z + 1161*z = -33 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 633*y**3 + 3090*y**2.\nAnswer: 3*y**2*(y - 206)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97\/6, 3.4, -1.18, -5.\nAnswer: -97\/6, -5, -1.18, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-12))\/((-3)\/(-12)). Let r(y) = -y**2 - 10*y - 9. Let m be r(j). Which is the second smallest value? (a) 2\/7 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/25, 5, 0.2, 6, -79.\nAnswer: -79, -6\/25, 0.2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 73 (b) 3 (c) 5 (d) -0.7 (e) 0.3 (f) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 - 5*n - 1. Let i be a(7). Suppose -3*s = 2*d - i, d + 1 = s - 0*s. Suppose -d*t - 6317 = -1077. Round t to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, f: 3, a: 1, u: 1, s: 1, q: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -1\/4*y**4 - y - 5\/3*y**3 + 0*y**2 - 3. Determine z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:18 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkki. What is prob of picking 3 k and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 136 = 44*m - 124*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53353046815 + 0.0511.\nAnswer: -0.48243046815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a6b4 (base 15) in base 12?\nAnswer: -397907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 22 = -6. What is the remainder when 24 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 1010111010?\nAnswer: -1011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785721, -1571424, -2357127, -3142830, -3928533, -4714236?\nAnswer: -5499939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1383 + 1386. Suppose g + i - 2 = 5*i, g = -5*i + 2. Factor 0*s**2 + 2*s**2 - 2*s**2 + f - 3*s**g.\nAnswer: -3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117792 is divided by 117785.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/17 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 135 = 0. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rorn when four letters picked without replacement from {r: 5, b: 1, n: 2, o: 1, a: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10012 - 0)*6\/12. Is y\/((-1)\/2*4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*k**2 + 5*k**2 - 309 + 311 wrt k?\nAnswer: 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17\/2 (b) 3 (c) 93 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = -n, -5 + 4 = -o + 3*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/24)\/(-7) + ((-264)\/(-1440))\/(-1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3\/4 - 9*z**2\/4 + 3*z\/2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2 + 15\/9). Let s(w) = 3*w - f*w + 7*w. Give s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1256\/12)\/(2 + (-12)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -95769.\nAnswer: -95768.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3195.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1907 - -1907. Let n(f) be the first derivative of -10 + 3\/5*f**5 + 0*f**2 + 0*f**3 - 9*f + t*f**4. What is the first derivative of n(v) wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 - 4*v**2 - v + v**2 + 18*v**3 + 6*v**2 as s*v + m*v**2 + u + z*v**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 100*z - 10210. Give i(-162).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.65182 in -0.3, 74, 2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7834666 is divided by 3917329.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**2 - 7*s - 5. Let q be r(-2). Let n = q + -25. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 57 = 23*o. Suppose -v**3 + 7*v**4 + 39*v - 19*v - 60*v**2 - 2*v**3 + o*v**4 - 2*v**3 = 0. Calculate v.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418 + 433 + 6*d**2 - 870)*(2 - 4 + 3 + (4 + 4 - 6)*(-4 + 3 - 1)).\nAnswer: -18*d**2 + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4172 rounded to two decimal places?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 1\/60*l**5 - l**3 + 12*l**2 + 0 - 3*l - 1\/6*l**4. Give p(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -37*c**2 + 40*c - 5. Let t(v) = -186*v**2 + 192*v - 24. Let o(l) = 24*r(l) - 5*t(l). Let w(b) = 204*b**2. Determine o(w(p)).\nAnswer: 1747872*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.408309 to 3 dps.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*g, 2 = 9700*c - 9701*c - 5*g for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -7149?\nAnswer: 7160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31739507 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212541 and -1234.\nAnswer: 262275594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - ((-7 - (-11 + 15)) + 16 - -3).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*b = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -235 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let s = 4 + h. Suppose -2*i + 7 = -s. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1 + sqrt(245))**2 + -1 - -6*(sqrt(245) + 1) - (-3*-2*(sqrt(245) + -4))**2) + -3).\nAnswer: -12432*sqrt(5) + 54888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.2. Let r = t + 1. Which is the smallest value? (a) -0.4 (b) -11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -183, 1 in increasing order.\nAnswer: -183, -10, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(32)\/(-1*sqrt(4))) + sqrt(3645)*1)**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3195018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 476 - 390. Suppose -5*g - k = -96. Solve r - 3*n - 6 = -g*r, 0 = 3*r + 5*n + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8)*-3 + sqrt(8))\/((sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let i be (-3)\/(l - (0 + -2)). Solve 2*t = 2*r, -4*r + 3 = -i*t - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -683\/80, -201.\nAnswer: -201, -683\/80, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -20. Let r be (n - -7) + 3*2. Suppose h = -r*h. Solve 0 = -c - h*x + 2*x + 10, -5*c + 4*x + 26 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/840 - y**6\/90 + y**5\/30 - y**4\/12 + y**3\/3 - y**2. Let m(v) be the first derivative of f(v). What is m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200177*p - 200177*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3465 + 3486. Suppose 37 = 3*n + 13. Solve -25*d + i*d = -n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -379 + 378.7. Do a and -38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-110)\/11)\/(-5))\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 134, -172, -612, -1192, -1918?\nAnswer: -2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 220 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -17 (c) -0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*r = 53*r - 640. Solve -r*u = 3 + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3557074.\nAnswer: 2, 1778537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -132799 and -7038270\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 114264 = -25*o + 29*o, -3*b - 28550 = -o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s - 36. Let k(a) = -56. Let q(h) = 2*h - 56. Let g(w) = k(w) - q(w). Determine d(g(z)).\nAnswer: 28*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*m**3 - 20866*m - 1139911.\nAnswer: -48*m**2 - 20866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -219, -297, -375, -453, -531?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 25 - 1 = 0. Let g be (-20)\/5 - -3 - (10 + k). Let t(x) = 2*x**3 - 4. Let o(i) = 3*i**3 - 7. Give g*o(q) + 5*t(q).\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 5. Suppose 2*x = i - 2*i + 58, 3*x - 207 = -4*i. Calculate the remainder when i is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwfymy. What is prob of picking 1 m, 1 y, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(63)\/sqrt(3) + sqrt(21))*-1)\/(sqrt(7)*1*-5) - (sqrt(27)*2 - (sqrt(108) + -1 + sqrt(108)) - -2*sqrt(5808)).\nAnswer: -408*sqrt(3)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**3 - 8*t**3 - 5*t**2 + 2*t**4 + t**2 - 5 + 3*t + 9 - 5 to k*t**2 + j + c*t**3 + f*t**4 + n*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13022 - 3?\nAnswer: -13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6 + (-490)\/240.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 11*n - 32. Let b be j(3). Let l be b\/(-4)*(2 - (-36)\/(-10)). Solve -5*q + g - 8 - 7 = 0, 4*q - l*g + 28 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/30 - (-21)\/(-504)*-4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1818.48 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 202, 270, 314, 328, 306, 242, 130?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105481 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -22333*j - 67206. What is h(-3)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 885 = -4*t, t + 2*u = 3*t - 444. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 - 349 - 40 - 93066*v.\nAnswer: -93066*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*q + 65140 + 50060 = 16026 + 9180 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 41. Suppose 2*n + 59 = -n - 2*g, -n = -3*g + 38. Let k = n + y. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 = 2*p, 5*p + 4*h + 0 = 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {h: 2, o: 2, f: 1, u: 1, a: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -56, -14, 2, -2 in decreasing order.\nAnswer: 2, 0, -2, -7, -14, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Let n(a) = -75*a**3 - 20*a**3 + 122*a**3 - 18. Calculate -n(h) - 18*u(h).\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 11*y**2 + 12*y - 109. What is z(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2262\/70 + 4\/10. Let p = 33 - w. Let z = -9 + 8.7. Put p, -1, z in descending order.\nAnswer: p, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than 625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/73853 and 41\/712842.\nAnswer: 16395366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 180*h - 184*h = -15, -3 = 5*x + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)\/n)\/n*n**(-2)*n*n\/((n\/n**6*n)\/n)*n*n*n**(-2))\/((n**1)**(-32)*(n**(1\/3))**(2\/9)) assuming n is positive.\nAnswer: n**(3853\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5844960 rounded to the nearest 10000?\nAnswer: -5840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 0 = 48*t - 39*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.153 - -0.253. Which is the closest to -1\/4? (a) x (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72378, 72352, 72326?\nAnswer: 72300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -10*c**5\/3 - 12*c**4 - 34*c**3\/3 + 8*c\/3 = 0?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286655\/12 - 101721\/4. Do -1543 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6\/7, 1, -2\/209, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(180) + -1)**2 + (sqrt(180) + -2 + sqrt(180) + sqrt(180))**2 + sqrt(180) + -3)*4.\nAnswer: -1872*sqrt(5) + 43248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o + 2. Let z be n(-5). Which is the second biggest value? (a) -0.5 (b) z (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*g**3 - 32*g**3 + 50*g**3)*(-12*g - 15 + 15 - 4*g + 0*g + 5*g + (2*g - g - 3*g)*(-6 + 3 + 2) - 3*g + 6*g - 4*g + 3*g - 2*g + g).\nAnswer: 152*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(396) - (1 + sqrt(396))) + -1 - (3 + sqrt(396) + 0)) + -1 + (sqrt(1331) - (1 + sqrt(1331) + 3 + sqrt(1331))))*-4)**2.\nAnswer: 5440*sqrt(11) + 52464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/4 - 92403*a\/2 - 1016312 = 0 for a.\nAnswer: -184784, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = 1879 - 1801 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361996*q*r**5 + 2*q*r**2 + 160*q*r + r**2 - 15 wrt r?\nAnswer: -21719760*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-15 - -3) - (7 - 15 - -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173769541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -3*v, -r - 3*r + 36 = -5*v. Let w(l) be the second derivative of 0 + 0*l**3 - 3\/2*l**2 + l + 1\/4*l**r. What is the derivative of w(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {j: 2, t: 1, r: 6, n: 2, w: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 313 = -93. What is the smallest common multiple of 44 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.04105l?\nAnswer: 32041.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 336 = -23*w. What is the remainder when 93 is divided by w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19376?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. What is the units digit of 12*(-6)\/(-9) - f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/279 or -1?\nAnswer: -10\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 122 = 4*b, -5*l - 6*b + 7*b = -515. What is the smallest common multiple of l and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 1. Let y be j(2). Suppose 4*g = 3*v + 10 + 3, 1 = g. Let x = y + v. Solve r + r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((0 - -2) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000163278723 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 9554.136.\nAnswer: 219745.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8844569\/630 - -126716\/9. Let d be (4\/(-21))\/(10\/207). Let u = z - d. Calculate the common denominator of u and 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*q - 49 + 33 = 0, 3*q + 22 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -660 + 662. Solve 3*k - f = -0*k - 5*i, -5*k = 4*i - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*1\/(-20)*-10.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6\/40*-5. What is the nearest to d in -5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let m(y) = 0*y - i*y + 3 - 1. Suppose -2*p - a = -2, -8 = 5*p - 6*p + 3*a. Determine m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.17, 0.7, -15?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/((-3)\/12))\/6. Let l = 0.09 - -4.91. Let h = 4.9 - l. What is the smallest value in -3\/2, v, h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukllogrkrookl. What is prob of picking 1 l, 1 g, and 1 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let b(f) be the third derivative of 7*f**4\/24 - 2*f**2. Calculate a(b(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0097779384 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1011087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 31.16 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:34 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.3 - 58.7. Let f = -0.9 + -14.1. Let x = s - f. Which is the smallest value? (a) 5 (b) -6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/733 - -39715\/13927. Let v = 489\/152 - p. Suppose 2*w + 5 = -3*w. Which is the closest to 0.2? (a) w (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 21257400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42 and 20\/12 - 2 - (-536)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 3, g: 5}. Give prob of sequence og.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 149 - 23. Let x(q) = q**3 + 5*q**2 - 4*q - 6. Let t be x(-6). Calculate the remainder when i is divided by -99*3\/t*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.827294 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -353*i**2\/2 - 9*i + 42. Let m be x(-2). Suppose 4*s - 4*j = m + 651, 1673 = 5*s + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.084 - 171.084. Let b = i + 256. Let j = b - 84.999787. What is j rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5797187, 5797189, 5797191, 5797193, 5797195, 5797197?\nAnswer: 5797199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82b6 - 99b?\nAnswer: -8c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(448) + 1 + -4)**2)*6.\nAnswer: -96*sqrt(7) + 2694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4398, -3, -1, 5 in decreasing order.\nAnswer: 4398, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -23, -2\/25, -14\/11?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -6*y - 2764 + 2903, -4*g - 2*y + 18 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (6*sqrt(76)*-1 + sqrt(76)))\/(6*sqrt(4)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + x - 52*w + 321 = -5*x, 0 = 4*w - 12 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 7)*8\/(-2). Let c be d*(-2 + 3\/2). Let w(v) = 9*v**2 + 2*v - 2. Let b be w(-2). What is the highest common factor of c and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 7*b + 14. Let m(w) = -17*w**2 + 20*w - 42. Give 4*m(i) + 11*t(i).\nAnswer: -2*i**2 + 3*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -450.8 + 431.8. Sort -1\/2, -0.3, y, 0.04 in descending order.\nAnswer: 0.04, -0.3, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20967 - 111 = 3513*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = b + 4*b. Let s be (-5)\/b - 1\/(-3). Suppose -3*m + 3 = 0, 0 = 4*o - m - s*m - 149. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:08 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000264025 rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.5 - 124. Which is the biggest value? (a) -0.3 (b) p (c) -2\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -9, -2 in ascending order.\nAnswer: -9, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3232100 (base 5) to base 13.\nAnswer: 1c20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 323341000 to the nearest 1000000.\nAnswer: 323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-3 - 28 - (128 + -148))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n = -50*n - 5 + 5. Which is smaller: -1\/18488 or n?\nAnswer: -1\/18488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/i)**(-12\/19)*i*i*(i\/(i**13*i))\/i*i*i\/i**(-9) assuming i is positive.\nAnswer: i**(29\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71.5831 + 0.1169. Let p = 65.1 - -6.9. Let w = p - a. What is the third smallest value in w, -1, 0.1, 18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and 24.73.\nAnswer: 24.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93398336.\nAnswer: 2, 101, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 206 and 11.31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1804 and 13\/29898799?\nAnswer: 1315547156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -1.\nAnswer: -6, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-4*(-7)\/(-140)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124 + 74 - 21 + 176*v**2 - 336 with respect to v.\nAnswer: 352*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:37 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920 and 3006520?\nAnswer: 69149960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -742 not equal to -742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 10*b - 12 = 0. Suppose b*f = 0, 1 = -n - 2*f + 23. Calculate the least common multiple of n and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3516 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w + 331 + 108 = -454 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 - 4*w - 1. Let m be g(-3). Suppose 4*d + m*c + 264 = 0, d + 3*c + 56 = -0*d. What are the prime factors of 2\/3 - d\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1.47476.\nAnswer: 0.589904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5, -575, -20, 3 in increasing order.\nAnswer: -575, -20, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(11\/3)\/p))\/p)\/(p\/(p\/p**(-10)))*p**(-18)*p\/p**14)**5 assuming p is positive.\nAnswer: p**(-355\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 80 = -8*y. Suppose 0 = -3*k + 7*k + y. Let d = -1.7 - -1.8. Which is the closest to d? (a) 5\/2 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f + 16. Let w be z(11). Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 38, 4, -12 in decreasing order.\nAnswer: 38, 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1466, -2928, -4388, -5846?\nAnswer: -7302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggg when four letters picked without replacement from {z: 2, n: 1, v: 1, g: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 249715, 499418, 749123, 998830, 1248539, 1498250?\n\"Answer: k**2 + 249700*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*b - 8, 3*p = -5*b + 1 + 3. Let d(l) = 2 + 0 - 3 + l**2 - 2 - l. What is d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:08 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(24)\/(sqrt(48)\/sqrt(4)*-3 + sqrt(12)) + ((sqrt(72) - (sqrt(72) + -1)) + -2 + sqrt(2)*2)**2.\nAnswer: -9*sqrt(2)\/2 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2241232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2 + 6697*w + 2003 with respect to w.\nAnswer: 4*w + 6697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.6, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69059482699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*o - 76*o**3 + 63*o)*(-1 + 1 - 2*o) - 12*o**4 + 15*o**4 - 158*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 2\/17, 19, 4, 53, -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28802 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/15701?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5159 in 5, 2\/7, -19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 13*z + 4. Let x be 3*(-4)\/24*-24. Let r be w(x). Solve -4*d - 19 = -3*g, -5*g + r = 5*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 1004000. What is j rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/93 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*y + 10 = 0, -4*t = -6*t - 3*y - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23873\/22, 0.4, 3, 4, 10 in increasing order.\nAnswer: -23873\/22, -1, 0.4, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112042*v + 112144*v = 224268*v - 574 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9390 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/2 - 508*r**4 - 27387*r**3 - 53252*r**2 - 52745*r\/2 = 0 for r.\nAnswer: -959, -55, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1\/3, 4031.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30610*n + 30733*n + 630 + 1098 = 6 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 5. Let t be n(-8). Let d be ((-10)\/t)\/(28\/42). Sort 0.4, 1\/8, d.\nAnswer: d, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20310 divided by -3.\nAnswer: -6770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7*w - 3*w + 336 = 0, 3*w = -4*b + 1401. What is the smallest common multiple of b and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v + 8. Let p be z(10). Let b be (15 - 3)\/((-3)\/p). Solve 5 = -s + b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -227, -257, -291, -329?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701, 2698, 2695, 2692, 2689?\nAnswer: 2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23\/(-4)*(-8 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cciccicclcl?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 13. Let t be 365\/(-75) + 2\/(-15). Let y(v) be the second derivative of v**3\/3 + 9*v**2\/2 + 155*v. Determine t*h(x) + 7*y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13174\/125153*722\/(-8).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93870 by -46935.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50056 (base 7) to base 6.\nAnswer: 131434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487288752?\nAnswer: 2, 13, 11958119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18224831 and 1640?\nAnswer: 18223191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.5 and 815112.\nAnswer: 815101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - 36. Let t be -15*(1 + -9*1). Suppose -t = -4*x + 4*a, -x = a + a - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let u(y) = 501510*y**2. Determine f(u(z)).\nAnswer: 503024560200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 864. What is the common denominator of -67\/22 and 13\/h*-3 + 2?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(19))**2*1 + (sqrt(931) - sqrt(931)*-1*-1) + -5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015 - 32?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 70756836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -28. Suppose 0 = -0*x + 5*x - w. Solve -6*j = -x*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 41*l**2 + 9*l - 2. Suppose -r - 3 = -2*r - 3*m, 5*r = 3*m + 51. Let a be n(r). What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -0.1, 0.5, -30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i**3 - i**2 + 3*i - 3. Let b be h(2). Suppose -s - 5*d + 82 = 0, 4*s - 3*d = -4 + 217. Let r = b - s. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98\/51 - 1409\/408. Let b = -4\/2891 + -245711\/17346. Calculate the common denominator of v and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -18 - y - 18 + 60 - 24. Let j(c) = -13*c - 2. Give 4*i(w) - j(w).\nAnswer: 9*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -6. Let m(o) = 29*o - 7. Let h be m(-5). Is h\/g*(-20)\/8 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3807.\nAnswer: 4\/3807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 10*k**2 - 8*k - 11. Let h be z(-9). Let w = -14 - h. Calculate the least common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:27 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 + 3392*x - 719104 = 0.\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161348 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 496804, 496800, 496796?\n\"Answer: -4*w + 496808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.4 and -193281.\nAnswer: 2203403.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 23*b**2. Let t(l) = -358*l**2. Determine j(t(u)).\nAnswer: 2947772*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/5))\/y*y)**(-2\/19) assuming y is positive.\nAnswer: y**(-6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/((-2125)\/(-705) - 3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1646\/270761?\nAnswer: -1646\/270761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 0)*12\/(-18). Let z(y) = 7*y**3 + y**2 + 29*y - 3. Let n(w) = -3*w**3 - w**2 - 14*w + 1. Let f(r) = d*z(r) + 9*n(r). Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1022\/8 + (-2)\/(-8)*-3. Let r = b + -118. Solve 8 + 37 = r*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 13*y - 18. What is the lowest common multiple of 51 and y?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:11 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10507 divided by 4.\nAnswer: 10507\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347929 * -2.\nAnswer: 695858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14553, -28995, -43335, -57579, -71733?\nAnswer: -85803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -62521509.\nAnswer: 312607545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126765)\/28170)\/(102\/20 - (-2)\/5*1).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgcz when four letters picked without replacement from zgeelezlcleceqeggce.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 12279*q\/4 - 112554.\nAnswer: -3*(q + 37)*(q + 4056)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 4605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4294 and 1351565.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(8))*3.\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + h)*(4*h + h - 3*h) + 0*h + 0*h + h**2 + 100*h**2 - 96*h**2 + 52*h**2.\nAnswer: 61*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 + 9*u**2 + 102 + 102 + 101.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - -2)\/((-1)\/1). Let n(x) = -x**2 - 9*x - 8. Let h be n(s). Suppose -3*a - 21 = -h*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -3, -2\/13, 0.3, -1.1, -0.3, 1042?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -495 + 250 - 2*t**2 + 245 - 263*t in the form y*t + a*t**2 + u and give y.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1051 = -403. Calculate the remainder when t is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (-3 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 221*x**3 - 4*x**2 + 4*x. Let g(p) = -p**2 + p. Give -4*g(d) + v(d).\nAnswer: 221*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 26 - 15 + 26 - 37.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 19*c - 47. Let l = 785 + -801. Determine i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 278*j**2 - 8*j + 6. Suppose 6 = -6*u + 7*u + d, -5*u = -d. Is 49 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2) + 1 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -13*c**7\/1540 - 19*c**6\/330 + c**5\/55 - 15*c**4\/4 + 52*c. Let l(r) be the third derivative of b(r). Factor l(w).\nAnswer: -6*(w + 2)*(39*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*k + 22*k**2 - 70*k - 77*k + 1 - 77*k to the form n*k + f*k**2 + w and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44246 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 0)*39\/(-195) + 22\/5. Solve -g = n*i + 8, -4*i = -7*g + 10*g + 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2595*a + 5196*a - 2592*a + 2*a**2 + a**2 + 14 to the form d*a + g*a**2 + j and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 1, o: 1, b: 2, n: 2, l: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -8. Suppose 0 = -5*m + 6 + 4. Let u(k) = 7 + m*k + 3 - 1. Give u(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z - 2 + (0 + 1 - 4)*(-216*z - 10052 + 10052 + (-2 - 1 + 1)*(-z + 4*z + 0*z)).\nAnswer: 665*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 3, q: 3, z: 1, j: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1 in decreasing order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4336.8 + 4337. Let o(a) = a**2 + 2*a + 2. Let n be o(0). Suppose n*m - 5*v + v = 0, 4*v - 12 = -m. What is the nearest to -1 in m, q, -19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45227?\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 7 - 4 - 54 = 0. Which is the third biggest value? (a) -2.5 (b) 8 (c) 3 (d) -0.3 (e) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*s**2 + 707 - 707)*(-2 - 3 + 6) + (-3 + s + 3)*(2*s - 2*s + s) to the form j*s + d + p*s**2 and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.58 - 5.38. Which is the fourth smallest value? (a) m (b) 27 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 4 - 40. Let o be 4\/c*42\/(-182). Is 1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111\/209 - 1195\/1463. Let w = -16 - -26. Which is the second smallest value? (a) -5 (b) w (c) l (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - 8*n - 99. Let v(h) = -5*h**2 + h + 5. Determine -b(x) - 2*v(x).\nAnswer: 5*x**2 + 6*x + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + 10 + (-49 + 17 - -10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*g + 104, 4*g - 85 + 181 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6040.293 millimeters?\nAnswer: 6040293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2838*f + 10307 + 1045 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 + 8*t - 15. Let m be r(3). Let d = m + -3. Is d a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(2*(-15)\/2100*-110*7)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 340*n**4 - 5*n**2 - 5*n**5 - 20*n**5 + 16*n**2 + 3*n**2 + 139*n**3.\nAnswer: -n**2*(n - 14)*(5*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, -4, 50469, 0 in increasing order.\nAnswer: -4, -0.4, 0, 0.2, 50469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4.2, 1\/3, 0.66, 0, -0.4 in increasing order.\nAnswer: -4.2, -0.4, 0, 0.3, 1\/3, 0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2792105, 2792090, 2792075, 2792060, 2792045, 2792030?\n\"Answer: -15*w + 2792120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 1\/9 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 + 0.2. Let b = -0.27 - a. Sort b, -0.5, 5 in descending order.\nAnswer: 5, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.0927, 3, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-35) + (-33)\/(-7). Solve -2*x = -p*x + o - 2, 3*o - 11 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 - -15?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3851, 8385, 12917, 17447?\n\"Answer: -g**2 + 4537*g - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 1. Let u be y(-2). Is (0 - -1)*(26 + u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Suppose 3 = 2*b - d. Solve -4*n = -b - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10669 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13201362930*r**2 - 13201362968*r**2 + 0 + 0.\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/72)\/((-610)\/(-1952)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2946, -5442, -7938?\nAnswer: -10434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 61 + 39 + -52 + -20?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22879 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/208*(-40)\/(-28)*19000\/(-3125)?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8))**(4\/37))**49 assuming x is positive.\nAnswer: x**(-1568\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 441471240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(2)*2 - sqrt(2) - sqrt(2)) + (sqrt(72) + 0)**2)*2.\nAnswer: -24*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 88?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369879741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/70*525\/(-135)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2\/9 - 1071840*f + 3215516 = 0?\nAnswer: 3, 2411637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198, 210, 220, 228, 234, 238, 240?\n\"Answer: -s**2 + 15*s + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(234\/(-216))*9\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5444274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30951353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*-1 - 30\/(-180))*4638\/35558.\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67352 is divided by 66686?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359.6 in -5, -2\/7, -1, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aaaazkzymiaaz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvgvuovvov. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n - 3. Suppose y + 4*z + 11 = z, 0 = -2*y + 5*z. Let g be (4\/10)\/(3\/y). Which is the closest to g? (a) 1 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3\/7 - 5328*h**2\/7 - 53680*h\/7 = 0. Calculate h.\nAnswer: -10, 0, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1242 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0)**(-1\/19)*t**(3\/4)*t*t**(2\/3)*t)**(-4\/5))**(-1\/8) assuming t is positive.\nAnswer: t**(41\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/27117 and -80\/1816839?\nAnswer: 1816839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43827 divided by -2\nAnswer: 43827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - ((sqrt(85)*1*6 - sqrt(85)) + sqrt(85))))\/(-1*sqrt(20)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(8\/3)*50. Suppose d = 4*u - u. Find the common denominator of -5 - -4 - (-40)\/11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13595000 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = -2*r. Let w be (-2)\/(-9) + 2\/r. Solve 2*s - 5*x = -0*x - 27, 5*x - 25 = w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -73. Let f(o) = -o**2 - 9*o + 1. Determine f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-340))\/(5\/(-8)*-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/9 (c) -115\/4 (d) -3\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 9960 = 4062. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 1040*l\/7 + 1038\/7.\nAnswer: 2*(l + 1)*(l + 519)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from bsbtbbstssb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333311 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26621202 divided by 8873734.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 137. Let w = -38 + 42. What is the second biggest value in f, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*d**2 + 597 - 590 + 7*d**3 - 12*d**3 as c*d**2 + m*d**3 + p*d + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22 - 2)\/(-11 + (-975)\/(-90)). What is the highest common factor of w and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 139*u**2 - 139083*u\/2.\nAnswer: u*(u - 259)*(u + 537)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 e when three letters picked without replacement from cteffefceuuztcc?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*r - 53030 + 7904 = 10*r + 193*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) + (-12)\/(-7). Let w(n) = 4*n**2 + 2*n - 1 - 1 - 3*n**2. What is the units digit of w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192546*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2)*s**(-8)*s**14\/((s*s**(-2\/17)\/s)\/s) assuming s is positive.\nAnswer: s**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51161*u**2 + 11693*u**2 - 38173*u**2.\nAnswer: -77641*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.09. Which is the second smallest value? (a) 3 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -942070 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10222202021 (base 3) to base 4\nAnswer: 103023112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-16326.\nAnswer: 163260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/123, -5, 3 in descending order.\nAnswer: 3, -2\/123, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27181840.\nAnswer: 2, 5, 7, 48539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, w: 10}. What is prob of picking 2 w and 1 g?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3769 - 3767. Sort -2, j, 31, 3 in descending order.\nAnswer: 31, 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Suppose -4*d - p + 52 = 0, d = -3*d + 4*p + 72. Let t = d - 10. Let f(w) = -4 + t*w + 4. Give f(i(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-292710)\/726 + (-24)\/(-11) + -2. Is d >= -400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 - 26729884013359*v + 22*v**2 + 26729884013359*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 4. Suppose 0*a + h = 2*a. What is g in -10*g**2 - 7*g**3 + 6*g**2 + a*g**5 + 2*g**4 + 3*g**3 - 3 + 5 + 2*g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 - 57*k**2 + 30*k + 581. Give d(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233049241.\nAnswer: 277, 841333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -73\/225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/30 - m**5\/3 - m**4 + 35*m**2 - 1. Factor r(d).\nAnswer: -4*d*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4\/4*3. Suppose 2*i + 5*z = 4*i - 158, 2*z + 437 = r*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -124*b**3 - 3*b**2 + 690*b - 3. Let o(h) = -125*h**3 - 2*h**2 + 689*h - 2. Let j(k) = -3*o(k) + 2*y(k). What is the second derivative of j(n) wrt n?\nAnswer: 762*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123730 - 123749 = -l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -39927*u + 39917*u + 42*t, -3*t + 33 = -u - 2*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 216\/13 (c) 0.037 (d) -2 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15582, 15629, 15708, 15819, 15962, 16137?\nAnswer: 16344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:45 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -216. Let o(l) = -l**3 - 10*l**2 + 13*l + 16. Let p be o(-11). Let j be (-18)\/p - (3 - 2). Solve -2*x - 2*f + j = 0, -f - 2 = 5*x - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7030107 or 7030101?\nAnswer: 7030107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 26 + 10 - 36 = 5*u + 50, -2*l + 4*u = 8 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58682.26t to kilograms.\nAnswer: 58682260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (84 - 36) + -123 - 14\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 380. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 334838 or 334839?\nAnswer: 334839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 120. What is o(22)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/26 and -22\/347.\nAnswer: 9022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*x - 23, 2*x - 10 = -3*i + 12. Let y be ((-5)\/i)\/(9\/(-36)). Solve 3*u - y*u + 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 + 81944*d**2\/3 - 419921920*d\/3 + 838860800.\nAnswer: -4*(d - 10240)**2*(d - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(77\/(-220)*1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1078234739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-8 - -6 - -6)) + 15 + (-37 - -16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 - u**4\/24 + 4*u**3\/3 - 100*u**2. Suppose 3*q = -4*q + 2*q. Calculate d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**7\/1260 + 8*g**4\/3 - 17*g. Let c(y) be the third derivative of t(y). Let d(b) = -51*b**2. Determine d(c(f)).\nAnswer: -204*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/((-72)\/(-3)) + 40070\/12?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361115559.\nAnswer: 3, 7, 31, 184903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 151*7389\nAnswer: 1115739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*t + 1336188 = 1336098, -f = 5*t + 163 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**2\/5 + 1436*d\/5 + 3864 = 0?\nAnswer: -345, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38055090, -76110181, -114165272, -152220363?\nAnswer: -190275454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -9*h**5\/20 - 4*h**4 - h**2\/2 - h + 10. What is the third derivative of w(y) wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 43)\/(2\/3). Let g be 1\/((-4 + 7)\/y). Which is smaller: -19 or g?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909004057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*p - 10, 3*r - 17 = -2*r - 4*p. Let z = 16 - r. Solve -3*k + z = 0, -2*k + 15 = -w + k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/4)\/((7\/70)\/(6\/(-45))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2662, 20958, 70586, 167212, 326502?\nAnswer: 564122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11316 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/48640 and -3\/12160.\nAnswer: 48640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/30 + a**4\/24 - a**3\/6 + 2*a**2. Suppose -43*i - 151 = 21. What are the prime factors of s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/403 and -56\/155?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/10)\/(1\/(-12)). Let r(f) = 8*f - 2. Let s(h) = 9*h - 2. Let z(x) = j*r(x) - 7*s(x). Does 16 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1285*o + 132344. Calculate r(103).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-20)\/(-12)) - -5)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3317.8159 days?\nAnswer: 473.9737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**5 - 24*v**4 + v**3 + 54*v**2 - 20*v - 36. Let x(l) = l**5 + l**4 + l**3 - l**2 - 1. Let g(d) = -h(d) - 4*x(d). Factor g(q).\nAnswer: -5*(q - 2)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87711740 by -5.\nAnswer: -17542348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/5 + 884*v\/5 = 0.\nAnswer: 0, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 13*v - 6. Let u be c(-11). Which is smaller: u or 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/328 - 143\/6888. What is the closest to 1 in 0.5, y, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5734 - -9485. Let l = z + -304267\/20. Find the common denominator of -43\/30 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1881*c**3*f + 424*c**2*f**2 - 11672*f**2 - 317*f wrt c.\nAnswer: -5643*c**2*f + 848*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4064 and 5173726?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/2 + (-1)\/2. Let t = -7 + l. Let d = -36\/95 + -2\/95. What is the second smallest value in d, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-32))**(-23\/3)\/((n*n**(-6\/5)*n)\/(n*n*n**(-6)*n))**(3\/2) assuming n is positive.\nAnswer: n**(-15917\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 85, 313, 757, 1489?\n\"Answer: 12*s**3 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49065803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -482.014 to the nearest integer.\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 - w**2 - 11*w - 7. Let z be h(-2). What is the greatest common factor of z and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25414, -50824, -76234, -101644, -127054, -152464?\n\"Answer: -25410*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 156, 310, 476, 660, 868?\n\"Answer: c**3 + 147*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*n**4 + (-1 + n + 1)*(0*n**2 + 0*n**2 + 3*n**3) + n**4 - 15*n**2 - 2 + 12*n**2 - 10*n**4.\nAnswer: -4*n**4 - 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 2*f - f**4 + f + (-2*f**2 + 2*f**2 + 4*f**4)*(-2 + 0 + 3).\nAnswer: 3*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 648453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 27*y + 130. Calculate r(-17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 886027899?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -89*a - 1. Let k be 0 - 6\/(-3) - 4. Is i(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -15) + -47 - -14 - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from {i: 3, n: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2 - 0. Let l = b - -4. Solve l*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 960*l + 2.\nAnswer: 960*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11508647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77\/2 of a milligram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -73, -111, -147, -181?\n\"Answer: o**2 - 43*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 + 97565*s**3 - 97564*s**3 + 21*s**2 - 9.\nAnswer: s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*(195\/(-10))\/(-13)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and (-1340)\/(-25) + 749\/535.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 7, m: 3, g: 5}. Give prob of picking 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222 - -224. List the prime factors of (102 - 45)\/((i\/(-3))\/(-2)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 - 4) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -34.003. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - w - 165 = -0*w, 20 = r + 4*w. Let y = 104 - r. Let x = y - 37. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.29 - 1.29. Which is the fourth biggest value? (a) -4 (b) o (c) -0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272050.\nAnswer: 2, 5, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {c: 2, x: 5, g: 6, k: 3, t: 3, l: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/4 (b) 39 (c) -4033 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1119, 1121, 1125, 1131, 1139?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16172, 32378, 48586, 64796, 81008, 97222, 113438?\n\"Answer: y**2 + 16203*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(448\/(-1380) - 2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 + 2*b + 59. Let s be j(0). Suppose 67*h - 11672 = s*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 + 2091676*w**2 + 2091728*w - 25100160 = 0.\nAnswer: -4, 3, 522920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 7. Let c(o) = 620*o**2 + 613*o**2 - 1231*o**2. Give w(c(h)).\nAnswer: 16*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1404*-0.3\nAnswer: -421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26364, -28630, -30898, -33168?\nAnswer: -35440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 5*y + 5*y + (4*y - 4*y - 3*y**2)*(-161 - 276 + 63) to the form a*y + t + s*y**2 and give s.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76)\/342 - (-3)\/(27\/(-43))) + 36144?\nAnswer: 71, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from pkcgbvgv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6490 - 3221. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5245692 rounded to the nearest ten thousand?\nAnswer: -5250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:27 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7*m - 17 = -5*v, -9 = -3*m. Sort 0, v, 1, -3 in descending order.\nAnswer: v, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -203*t + 7 - 5 - 2. Let y(x) be the third derivative of 0*x + 5\/32*x**4 - 29*x**2 + 3\/40*x**5 + t*x**3 + 1\/160*x**6 + 0. Factor y(v).\nAnswer: 3*v*(v + 1)*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 7*y - 5. Let f be v(5). Suppose -2*j + 3*g - 10 = 0, 4*g = -j - j - 10. Sort j, f, -4 in descending order.\nAnswer: f, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2. Let d = -17 - -13. Let k be l(d). Let p = k - 11. Solve 2*b + b = -p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 19 = -25. Suppose b = w - 67. Let l be 2\/4 + b\/(-16). What is the greatest common divisor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 22*a**2 - 654*a - 124. Calculate h(17).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*l, -4*l = 2*f - 189 + 31. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 27, 30, 33?\n\"Answer: 3*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11204 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 14. What is l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 11.87?\nAnswer: -1.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196901815.\nAnswer: 3, 5, 29, 5050349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gznzgzggnnmggzggy. Give prob of picking 1 y and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9805 + t**3 + 9805.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3 - 9*v**2 - 21*v + 15. Determine l so that t(l) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let w = 9 + j. Which is the third biggest value? (a) w (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 4131.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 j when four letters picked without replacement from siasjssaijssaaj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.439 - 1.039. Let t = 10 - 7. Let o be 1\/(-36) + 2\/8. Put o, t, h in ascending order.\nAnswer: h, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (2 - 6)*1410\/(-60). Calculate the highest common divisor of z and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 85793463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4691?\nAnswer: -4691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367865257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1400*p**2 - 8 + 7.\nAnswer: -1400*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.1, -0.009, -4, -5, 88.1?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - a)*(-7*a**2 + 3 - 5 + 3*a**2).\nAnswer: -8*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {o: 6, q: 3, g: 2, e: 1, b: 3, l: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(2) + sqrt(6)\/sqrt(3)))\/(sqrt(33)\/(-1*sqrt(11))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**4 + 3*o**3 + o**2 - 7*o + 6. Let v(j) = -3*j**4 - 5*j**3 - 3*j**2 + 15*j - 13. Let p(k) = -9*f(k) - 4*v(k). Determine z so that p(z) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-28) - (-300)\/(-140)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) - 48\/(-32). Suppose -c = 4*y - 11, o*c + 2*y = 3*c - 19. Suppose 0 = -0*k + 3*k - 24. Calculate the least common multiple of c and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 31*f + 8. Let a(l) = -3*l**2 - 15*l - 4. Let d(b) = -7*a(b) - 3*c(b). Let t be d(-8). Suppose -3*y - 34 = -t. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, g: 1, y: 3, w: 5, t: 4}. What is prob of sequence gtww?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2028, -3314, -4630, -5976, -7352, -8758, -10194?\n\"Answer: -15*j**2 - 1241*j - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11976, -2, 2\/27, 1?\nAnswer: 11976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21))**(-7)\/(((i\/(i\/(i*i\/(i*i**(6\/11)))*i))\/i)\/i**(-3\/16)) assuming i is positive.\nAnswer: i**(26111\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3 + 23416*l**2 - 23418*l = 0.\nAnswer: -11709, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 - 293 = -26*o. Let r(y) = y**3 - 9*y**2 + y - 4. Let j be r(9). Suppose q = o*a - 5, -6*q + 5 = -j*q + a. Solve 1 = -q*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7125 divided by -19\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (132\/(-77))\/((-4)\/(-14)). Sort v, 2, -8 in descending order.\nAnswer: 2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 48*z. Let m(b) = -4*b**2 + 72*b. Determine -5*m(l) - 7*x(l).\nAnswer: -l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 3. Suppose -3*h + 3*m + 12 = 0, 0 = 5*h - 0*h + 4*m - 29. Let j(b) = -2*b - 2. Give h*j(v) + 4*p(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*c - 152*c + 576 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10636*b**2. Let n(q) = -8*q. Calculate n(i(w)).\nAnswer: 85088*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -331 by -3.\nAnswer: 331\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k - 48. Let d be o(-10). What is the second derivative of 2*j**2 - 2*j**2 - 121*j - 94*j**5 + d*j wrt j?\nAnswer: -1880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(528\/32))\/((-1)\/(153\/(-6)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from xijwizjwzjiitwj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 93. Let m = -28 - y. Let n = -0.0383 - 0.0117. What is the third biggest value in n, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + -8 + 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + s = 7, -2*q + s = -18 + 11. Suppose 5*i - 480 = -3*a + q*i, 640 = 4*a + i. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 8) to base 13\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, q: 3}. Give prob of sequence qj.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*7\/1*(-2232)\/3906.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 30596329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.573457 to two decimal places.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203021201 (base 4) to base 10.\nAnswer: 143969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(192)\/sqrt(6).\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**11\/p)*p\/(p*(p\/p**(8\/3))\/p))**(-27) assuming p is positive.\nAnswer: p**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 1, 9, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + 2. Let b(t) = -2*t**3 + t**2 + 6*t + 7. Let z(d) = b(d) + 3*i(d). Determine z(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249077 + 249075.37127. Round q to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45609, -91211, -136805, -182391, -227969?\nAnswer: -273539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:16 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -29. What is the third smallest value in u, -1, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2468, 3, 5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 15. Let a be (-1)\/(v\/9) + 25. What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16497 - -527965\/32. Find the common denominator of -97\/20 and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7762865*y**4 + 11795532*y**2 wrt y.\nAnswer: -186308760*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016422 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*k**2 - 68*k**4 + k**2 - 3*k**3 - 2*k**3 + 67*k**4 to v*k**4 + x*k + w*k**2 + b + s*k**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v + 2*v**4 - 5*v**4 + 6*v**3 - 2*v**2 + 20*v + 5*v**4 in the form f*v**2 + h*v**4 + k*v**3 + y*v + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*21*(-171)\/(-399). Solve -3*g - 3*z - w = 0, -2*z + 4 = -9*g + 6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 85. Suppose 3*h - p = -146. Let i = 37 + h. Solve i = -j + 1 - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3 + 0*r**2 - 6 + 11*r - r**2 - 2. Let p be d(8). Solve -25 = -3*a + 5*o, 5*a + 2 = -3*o - p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r - 73. Let p be w(-7). Suppose -16 = -p*x - 0*k - 2*k, 4*x - 3*k = 6. Solve 3*z = 4*o + 12, -2*o - x*o = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v + 6. Give l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1491 + 7456\/5. Factor 2\/5 + 1\/5*g - r*g**2.\nAnswer: -(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (0 - 3)) + -5 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011110100100 (base 2) in base 14?\nAnswer: -118d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 0*k**2 - 2*k**2 + (-1 + 365*k + 150*k - 39*k)*(k - 2*k - k + 4*k - 5*k + 0*k + (-2 + 1 + 2)*(-4 + 2*k + 4)).\nAnswer: -475*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**2 - 13\/2*y - 2 - 5\/4*y**4 - 37\/8*y**3 - 1\/8*y**5 = 0. What is y?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*(-10)\/(-2). Let c = -4 - -3. Let i be ((-3)\/9 - -2) + c. What is the closest to i in -2, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q + 7. Let o(x) be the second derivative of -17*x**3\/6 + 4*x**2 - 8*x. Let j(n) = 5*a(n) - 6*o(n). Differentiate j(c) with respect to c.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -72, -29, 52, 183?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/90 + 2*i**5\/15 + i**4\/18 - 40*i**3\/9 - 25*i**2\/2 + 152*i. Factor g(u).\nAnswer: (u - 3)*(u + 1)*(u + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6*o - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1041.\nAnswer: 10\/1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(50)\/(-1*1*sqrt(10)))**2 - ((sqrt(245)\/(2*sqrt(7)))\/(sqrt(14)\/(sqrt(2)*1 + sqrt(2))))**2) + 3.\nAnswer: 10*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320402875 and 1569?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 + 13*z**2 - 6*z + 6. Let y(c) = -12*c**3 + 25*c**2 - 11*c + 11. Let o(w) = -11*s(w) + 6*y(w). What is the third derivative of o(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -81.8. Let w = 0.02 - 11.02. Let t = c - w. What is the closest to t in -4\/5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -3*b, 0 = 3*n + 5*b - 5 - 9. Let o(d) = 6*d**4 - 3*d - 3. Let v(k) = 5*k**4 - k**2 - 2*k - 2. Let p(a) = n*o(a) + 3*v(a). Factor p(s).\nAnswer: 3*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-1)\/((-7)\/35) + -4). Let d(s) = -s**3 + s**2 + 1. Let j(u) = -8*u**3 + 12*u**2 + 12. Suppose -5*w + w - 48 = 0. Determine k*j(c) + w*d(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r + 0*r)*(-3*r**2 + r**2 - 14*r**2) + (5*r**2 + 3*r**2 - 2*r**2)*(0 + 0 - 2*r).\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - q = -0*q - 113, 3*n + 2*q = 334. Calculate the common denominator of (n\/(-330))\/((-1)\/(-15)) and -43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2 + 2961*x - 79218 = 0.\nAnswer: 27, 2934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 11*a - 7. Let w be v(-7). Calculate the remainder when w\/(4*(-1)\/2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998 = -3*b - 1638. Let q = -18148\/15 - b. Find the common denominator of 127\/48 and q.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 250803066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114\/1441 - 3097124\/12969. Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/551 + 660\/348?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130630000 to the nearest 1000000.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in 1, 2, 2\/7, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1308?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 8*w)*(-26 - 5 - 8).\nAnswer: 156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*b**(-2)*b*(b\/b**(-2\/7))**(2\/75) assuming b is positive.\nAnswer: b**(356\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s**2 - 45*s + 10. Let n(o) = -125*o**2 + 180*o - 40. Let g(t) = -4*n(t) - 15*y(t). Find p, given that g(p) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4715, 12520, 25529, 43742, 67159?\nAnswer: 95780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1779027*g**3 + 2*g**2 + 368396*g - 3?\nAnswer: 10674162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 212*q**2 - 424*q - 836. Calculate v(214).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 4 + 8 + 5*s + (-47 + 26 + 36)*(5*s + 0*s - 3*s) in the form n*s + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/10*(-330)\/264*(-4)\/(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 = 64. Suppose 0 = -i + 2*i - 4. Suppose -3 = -i*f + b. Solve -3*l = l + f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2232423322234 - -10?\nAnswer: -2232423322224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)*m*m*m\/m**9*m)**(-2\/39) assuming m is positive.\nAnswer: m**(44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -6*t - 9, -4*y - 12*t + 17*t + 17 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 10*t - 597. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2122*v**2 + 38*v - 145. Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.84 * -5659\nAnswer: -4753.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i**2 + 0*i**2 - 2*i**2 + 26*i**2 as l*i + m*i**2 + u and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -28. Let i(g) = 2*g - 1. What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (6 - (14 + 6)) + (-18 - -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464079)\/4018)\/((-3)\/2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v. Let b be d(5). Let q = 5 - 3. Suppose -4*i + 6 + q = b. Solve 5*m - 6*m + i = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 g when three letters picked without replacement from ggvgeggeeegggexooggg?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 34 = 98 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/252 - n**6\/36 + 3*n**5\/40 + 77*n**4\/72 + 28*n**3\/9 + 4*n**2 - 374*n. Determine c, given that r(c) = 0.\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/4 + 5. Sort 0.5, -19, p, 0.2 in decreasing order.\nAnswer: 0.5, p, 0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 412*q**3\/3 - 134*q**2\/3 - 412*q\/3 + 137\/3 = 0 for q.\nAnswer: -1, 1\/3, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1063, -1052, -1011, -922, -767?\n\"Answer: 3*j**3 - 3*j**2 - j - 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -506 + 734. What is the smallest common multiple of c and 15?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-3)*(-144)\/30. Suppose -2*l + 3*l = f. Let o = 36 + -26. What is the least common multiple of l and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 34 = -0*y - 5*y, 5*s + y = -28. Let g be (32\/s)\/(3\/(-9)). Suppose 0*u = 5*u + 4*c, -g = u + 4*c. Solve 6 + u = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 3*y + 9*y**2 - 2*y**3 + 10*y**2 - 4*y**2 in the form t*y**3 + l + i*y**2 + k*y and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 859169285 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 912, 1838, 2780, 3744, 4736, 5762?\n\"Answer: g**3 + 2*g**2 + 913*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 29 = -5 + 18 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 394, 810, 1380, 2110, 3006?\nAnswer: 4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 406537 - 4611?\nAnswer: 401726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6 - 27*a**2 + 33*a**2 - 7*a + 0*a. Let d(n) = 5*n**2 - 6*n - 5. Let f(g) = 5*d(g) - 4*m(g). Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28647724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 - 231*n**3 - 89322*n**2 + 912284*n - 1465440 = 0. Calculate n.\nAnswer: -258, 2, 8, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1316989, -2633986, -3950983, -5267980, -6584977, -7901974?\n\"Answer: -1316997*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 4, -3, 343 in decreasing order.\nAnswer: 343, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11048576 and 1820504?\nAnswer: 320408704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 59. Let w = 33.9999896 - f. What is w rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 229, 525, 939?\n\"Answer: 59*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23000443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 18404026?\nAnswer: 368080520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1180\/(-1122770)*44\/4\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w - 0*w. Let s be 2*w\/6 + 2. Suppose 3*n - 2*b = 3*b + 11, -2*b = -5*n + 12. Solve n*i - 20 = -s*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/12381426 and -133\/17594658?\nAnswer: 334298502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7.88122*0.5\nAnswer: 3.94061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11347406, 22694822, 34042238?\nAnswer: 45389654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, 39, -200 in descending order.\nAnswer: 39, 17, 2, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 + -168. Let b be 340\/(-80) + (-2)\/w. What is the second biggest value in b, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-14) - 0)*(-1479 - -1467)*1\/30\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -1\/10, 1.1, -1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -12 - 4\/3*p**3 - 18*p + 34\/3*p**2 = 0.\nAnswer: -1\/2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -13, -48, -117, -232, -405, -648?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7188*k + 7189*k - j = 5, -k - 5 = -2*k + 2*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + (-7 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:29 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 16955013.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 62*d - 541. What is the tens digit of b(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 8 - 8 + 5 + m. Is l(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021138 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, m: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + -2 + 17*5.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evre when four letters picked without replacement from {r: 1, e: 2, c: 1, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by (6\/(-12))\/((-222)\/44 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 89102427 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19557 - -40470. List the prime factors of l.\nAnswer: 3, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -487 - -501. Let j = -27 - -19. Let d = i - j. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571 a factor of 54811147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548178 and 7596?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, k: 7}. Give prob of sequence eeek.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)\/c**(5\/2))\/((c*c*c**(-3\/2))\/(c**(-1)*c*c*c*c)) assuming c is positive.\nAnswer: c**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/15))**(-1\/36) assuming s is positive.\nAnswer: s**(-1\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 33) + -1 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = -11. Let w be f\/(-8) - (-3)\/(-12). Suppose 0*s + 1\/2*s**2 + 3\/2*s**3 + 1\/2*s**5 + w + 3\/2*s**4 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0*b**(-20\/3)*b*b*b)**(-3\/19))**8)**(-37) assuming b is positive.\nAnswer: b**(-3256\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - o = -8 - 7, -4*y + o + 21 = 0. Suppose -y*d - d = 3*t - 22, -3*t - d = -14. Suppose s + g = 227, s - t*s - 5*g + 689 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -9*d + 4*d. Suppose 0 = -11*j + 8*j + d. Suppose -j*c = -3*c + 2. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 0, -4*n + 5*t - 8532 = -2787. Let q be n\/(-99) + (-2)\/(-9). Which is greater: q or 14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2413022 - 10?\nAnswer: 2413012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2019*p - 2004*p - 112620 = 0. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 3*s - 3. Let o(f) = f - 1. Let v = 0 + 6. Let y(n) = v*o(n) - 2*h(n). Let t(w) = 2*w**2. What is y(t(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -f - 4, -2*p - 3*f = -2. Let v = -3 + 3. Let x = v + 2. Sort -5, p, x in ascending order.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28808153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 65971 and 0.66 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 27566.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*j)*(-409 - 11*j - 381 + 182) to the form p + k*j + r*j**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/17160 and 59\/309980.\nAnswer: 24178440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let p(q) = 29*q + 17. Let y(n) = n + 4. Let l(d) = -p(d) + 3*y(d). Let x(f) = -29*f - 4. Let g(z) = -4*l(z) + 5*x(z). Determine g(t(i)).\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c + 1. Let z be u(-2). Is ((-3)\/1 - -553) + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - -3)*(-9)\/12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-23)*1 + (1 - -1). Let n = 0 - 4. What is the smallest value in m, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let l be ((-6)\/h)\/((-27)\/4). Let k = -5\/63 + l. Which is the closest to -1\/3? (a) -3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 - 2*t - 6. Let j be x(-3). Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256760*s - 772 - 1622 = -256796*s - 630 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 = -5*j - 24, 0 = -5*j - 3*r - 34. Suppose 8*q + 25 = -4*g + 3*q, -q = 5*g + 5. Sort -30, j, g in ascending order.\nAnswer: -30, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758878.\nAnswer: 2, 11, 31, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {x: 1, e: 2, j: 1, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*g - 78. Suppose -5*m - 3*i = -41, -i = -3*m - 6*i + g. Calculate the remainder when 27 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*d - 4354 = 0, 2*h - h - 1450 = -2*d. Let q be (2\/(-1))\/(-12 + 11). Suppose 0 = 4*z + q*n - h + 438, -2*n = -3*z + 743. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, u: 1, p: 1, h: 3, v: 3}. Give prob of sequence ph.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159244817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7781 + 40?\nAnswer: -7741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -7924429.\nAnswer: 2\/7924429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/450 + k**4\/30 - 8*k**3\/9 + 2*k**2 + 246. Factor b(u).\nAnswer: 2*(u - 4)*(u + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 9, 45, 137, 309, 585, 989?\n\"Answer: 4*y**3 - 8*y**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-11) - (-180)\/(-22). Let u = 1 - x. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(3 + (-32)\/12). Suppose w*b - 4 = -b. Let j be ((0 - b) + -3)*-1. Solve -5*x = j*s - 4, -2*s = x + s - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 1\/13 (b) 0.4 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*a - 33 - 9, -13 = -2*a + 5*p. Suppose 2*y = a*y + 931. Let s = y - -310. List the prime factors of s.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111413036 to the nearest integer?\nAnswer: 10555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**4 + 2*z**3 + 7*z - 2. Let l(h) = h**4 + h**3 + h - 1. Let q(u) = 2*l(u) - w(u). What is the second derivative of q(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + o. Let c(m) = -m**2. Let t be (-10)\/35 - 1\/(14\/1452). Let p = -106 - t. Calculate p*l(v) - 5*c(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 23. Let y = -5 - c. Let a = 29 - 21. Solve -4*q = r - 3*r + a, y*r - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, k: 5, n: 3}. What is prob of picking 3 n and 1 k?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/4 + 19*b**3\/3 + 62*b + 34. Differentiate l(m) wrt m.\nAnswer: -3*m**2 + 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dphzdhzdsz. Give prob of sequence dz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7186283*f**3 + 1241118*f**2 wrt f.\nAnswer: -43117698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**2 - 73*x + 110. What is the tens digit of v(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/14 + (-18)\/63. Let g = -7305 + 7147. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -250.50003 and 5.94.\nAnswer: -244.56003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 66 = 15*x. Suppose 2*w - x*w = -9. Determine t, given that 0 + 1\/2*t**w + t + 3\/2*t**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + 2. List the prime factors of y(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 22*h - 2. Let s(i) = -i**2 + 11*i + 1. Let t(v) = -4*f(v) - 7*s(v). Let p be t(11). Which is the nearest to 0.1? (a) p (b) 4 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/11710566 and 59\/45.\nAnswer: 58552830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(6))\/sqrt(6) - (sqrt(700) + -3) - -5*(sqrt(28) + -2)*4)**2.\nAnswer: -2294*sqrt(7) + 8096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:36 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/45 + 41\/180. Which is the closest to 0? (a) j (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 17*s**2 - 3*s - 119. Give q(0).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 7\/13, -1\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = l - 5*q, 3*l - 4*q + 16 + 22 = 0. Let h(s) = s**3 + 10*s**2 + 10*s + 12. What is the units digit of h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2469.591 litres to millilitres.\nAnswer: 2469591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 61 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*(-2)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 8, i: 4}. What is prob of picking 2 i and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -8 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135*a**3 - 129*a**3 + 2*a - 2*a - 54*a**3 + 311 with respect to a.\nAnswer: -954*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 84*o**2.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:15 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*((1*1*sqrt(121))\/sqrt(11) + (sqrt(88) + -2*sqrt(88))\/sqrt(8) + 3))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*r**3 + 15*r**3 - 40*r**3 - r**3 + r**3 + 2*r**3 + (-2 + 0 + 4)*(0*r**3 - 5*r**3 + 2*r**3).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (346\/346)\/(3\/(6\/4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1665 - -302?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2175 - -2212 - (11 - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1054.428.\nAnswer: -1054.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 7, -11, -47, -107?\n\"Answer: -x**3 + x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 2*a**2 + 9*a + 2*a**3 - 2*a**4 + 16*a - 1 + 0*a**2 in the form v*a + n*a**2 + y*a**3 + s + o*a**4 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432677 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**9*o)\/((o\/(o\/(o**(-18)\/o)))\/o)*o*o**5\/o*o**(-19))**42 assuming o is positive.\nAnswer: o**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 14*o**2 - 9*o - 13. What is the units digit of y(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j + 170. Is 35 a factor of o(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 14. Calculate m(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2360, 5, -3 in ascending order.\nAnswer: -3, 1, 5, 2360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554998830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101 (base 2) to base 10.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4706366 divided by 3.\nAnswer: 4706366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*x - 2798*x - 691*x - 3966*x - 533808 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96762, -387020, -870774, -1548024?\nAnswer: -2418770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -0.36, 4, -1\/5, 113 in descending order.\nAnswer: 113, 4, 2, 0.4, -1\/5, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((45 - 38) + -33)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123, 438, 965, 1704, 2655, 3818, 5193?\n\"Answer: 106*p**2 - 3*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5569.317 milligrams?\nAnswer: 5.569317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 1, e: 3, q: 6, r: 7}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*x = -601*x + 7434 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19239.741 hours in days?\nAnswer: 801.655875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244451*s - 20590 = 244806*s for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 227, 97, -85?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**2 + 0*q + 5*q + 3*q**2 in the form j + g*q**2 + s*q and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 17\/4 (c) -1\/5 (d) -1798\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61830, 247032, 555696, 987816, 1543386?\nAnswer: 2222400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 7\/141460?\nAnswer: 7\/141460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:26 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1073, -0.753, 5, -0.5, 0.3, 2\/5?\nAnswer: -0.753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16900939?\nAnswer: 11, 29, 52981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.731 and -0.13.\nAnswer: 4.51503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 - 21*m**3 + 177*m**2 + 413*m + 216 = 0.\nAnswer: -27, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12093.88 minutes in nanoseconds?\nAnswer: 725632800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (286 + -286)\/(0 - (1 + 1)). Solve h = -26*c + 31*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 2. Let z be s(1). Which is the nearest to -2\/7? (a) z (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/430)\/(864\/5400)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -7 - (21 - 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwiw when four letters picked without replacement from {g: 5, w: 7, i: 2}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-10 + -14 + 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 271*r**2 + 155*r - 2789. Determine s(135).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1326?\nAnswer: -132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 34 and -362624987.\nAnswer: -362624953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-1 - -2) - 1. Let m be 2\/z + (-96)\/(-9). Suppose 5*j + w + w - 63 = 0, -8 = -2*w. Calculate the greatest common divisor of j and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13459\/140 + -111\/28. Let z(w) = -w**3 + 9*w**2 + 6*w - 12. Let o be z(8). Let i = p + o. Which is the nearest to -2? (a) i (b) 1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 408 - 393. Which is bigger: d or -1\/9394?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*b = -2*b + 10, 3*r + 5*b - 38 = 0. Suppose -r*j - 114 = -7*j. Let z = j - 69. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 20*u**2 - 1. Is r(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -44. Solve 0 = 3*z + 3*q + u, 4*z - q - 8 = 2*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -927*y**3 - 1407*y**2 + 6*y - 49296.\nAnswer: -5562*y - 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 2742432*l + 5484856.\nAnswer: 2*(l - 1371214)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.94 + -2.06. What is the smallest value in k, 5, -2\/23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60668.\nAnswer: 2, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - a**3 + 2*a**3 - 2*a + 3 to the form l*a**3 + h*a + x + n*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/7 + 22*q**2\/7 - 129*q\/7 + 108\/7.\nAnswer: -(q - 12)*(q - 9)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 148*a + 1680.\nAnswer: -2*(a - 10)*(a + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 685 + -15752\/23. Let g = f - 55\/69. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -19*g**2 - 2*g + 20. Let o be t(-5). Let c = 280 - o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/70 + -1\/14. Let g = 0.1 + 4.9. Let r = 4.7 - g. Which is the closest to 0? (a) -3 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)\/v)**35*v*v**(1\/2)*v*v**(2\/3)\/v*v assuming v is positive.\nAnswer: v**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25997?\nAnswer: 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/425 - -3691\/1275. Let d = 2\/17 - r. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.43. Let y = -47.95 - -54. Let t = -0.05 + y. Put -4, s, t in increasing order.\nAnswer: -4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 + -10. Let y = 1.20000056 - r. What is y rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/176015?\nAnswer: -1\/176015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111100100101 - -101001111?\nAnswer: 101110000001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -265*p**3 - 13*p**2 - 3*p - 7. What is the tens digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/16, 3, -4, -0.3 in decreasing order.\nAnswer: 3, 1, -3\/16, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k*k**2*k))**(-18))**7*(k**1)**(-31\/5)\/(k**0)**(-2\/5) assuming k is positive.\nAnswer: k**(1229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 2*n - 7*n)*(-2*n**2 + 2*n**2 + n**4).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 2*f**4 + 5*f**3\/2 + 1133*f**2. Let k(n) = -7*n - 2. What is 15*k(p) + 2*m(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 5085150*r**2 + 61021476*r - 183064104.\nAnswer: 3*(r - 1695038)*(r - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 49 = -19. Let m(r) = -6*r**3 - 249*r**2 + 944*r + 77. What is the smallest common multiple of m(-45) and u?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (11 - 15)) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 2*u - u + 0*u**4 + 2*u**4 + u**3 to w*u**2 + d + z*u + l*u**3 + c*u**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 5*o**2 + 7*o - 6. Let h be p(4). Let g be 22\/33 - (16\/h)\/(-2). Suppose 0 = -3*d + g + 211. List the prime factors of d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 12, 65, 146, 261, 416, 617?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42370 divided by 8474.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + (-90)\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/7 - (-3)\/(-7). Which is greater: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*p + 22, -4*p + 8*p + 4 = -4*o. What is the first derivative of -10*q**3 - 5*q**3 + 27 + 4*q**3 + 9*q**o - 43*q wrt q?\nAnswer: -6*q**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - n. Let t be r(-1). Suppose 0*g - 147 = -t*g. Let p = -3 + g. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/62)\/(14\/4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -833 less than -833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose -z*w = w - 725. Suppose k - 6*k = -w. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 1. Let i(k) = -6*k**2 + 3*k + 5. Let g be i(0). Give m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 17*i**2 + i**3 - 11*i**2.\nAnswer: 3*i**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/104 in -1, -2\/7, -6, -13, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laa when three letters picked without replacement from {e: 3, t: 2, l: 1, a: 2, f: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = 9*w. Let a be 9*w\/(0 - -3). Suppose -a + 33 = o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let v be (-672)\/(-166) - ((0 - 4) + 8). Let m = -90\/1577 - v. Sort r, m, 7 in ascending order.\nAnswer: r, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 7*m**2 - 1.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10164 and 462?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = j + 56708, 2*s - 28342 = -j. Calculate the greatest common factor of 225 and s.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 163*p**2 - 2*p**2 + 65*p + 1423606 - 1423606 to the form l*p + n + b*p**2 and give l.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -14. Suppose 7 - 15 = -i*x. Solve z - x*z + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.08 + 1. Let t = -0.92 + s. Let a = -6344\/369 - -714\/41. What is the nearest to t in a, 16, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkklkyjjlkkkkkkk. Give prob of sequence jklk.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 122*h + 251*h - 128*h + 9, 5*g - 19 = 6*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 12*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 - -400?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9252605*z + 41. Let d be n(13). Let o = 81283824 + d. What is o rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.4, -127, 10, -0.63 in decreasing order.\nAnswer: 10, 2\/13, -0.4, -0.63, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1\/8 - 35\/280. Suppose v = 2*v - 2*m - 1, -4*v - 5*m = -17. Let z be (2\/6)\/(2\/v). Which is the third biggest value? (a) i (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9037 - -144553\/16. What is the common denominator of g and -41\/1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 15. Let d = -168 + 215. Let j = d + q. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.7 (b) 9 (c) -3\/2 (d) 2.18 (e) -1 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -60?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*w**4 - 33*u*w**2 + 2*u*w + 17427*w**6 - 673*w**2 wrt w.\nAnswer: -24*u*w + 2091240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3)\/1) + -2 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - 91. Let r = 68 - f. Does 67 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/198, -4, 26?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24 + 22)\/(2\/12). Suppose s - 2*a - 69 = 0, 3*s - 7*s = -5*a - u. What is the remainder when s is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*((-2 - 2 + 3)*(3*f + f - 2*f) - 2*f + 2*f + f + 0 + 0 - 2*f - 1 + 1 - 2*f + 4 - f - 4 - 4*f + 4*f - 2*f - 2*f + 2 - 2 - 4*f + 13*f - 3*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g + 2. Let k(a) = a**2 - 6*a - 1. Let x(t) = 4*k(t) + 5*o(t). What are the prime factors of x(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 3890\/(-4). Let w be (0 + 1)\/(7\/s). Suppose -4*h + 3*h = -4*p + w, 0 = 5*p + h - 167. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -9)\/((-10)\/(-90)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -b - 3*o, -b + 5*o - 23 = -0*b. Let m = -138 - -143. Find the third derivative of -10*n**2 + 4*n**b - 7*n + 7*n + m*n**3 wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -4. Let r = o + 6. Let l = 14 - 10. Which is the third biggest value? (a) l (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2308\/7121?\nAnswer: -2308\/7121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 435, -1585026, -3?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116*c + 70*c + 91*c)*(-5*c + c + 3*c) to s*c**2 + x*c + i and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 519.\nAnswer: 7\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -497, -871, -1115, -1163, -949, -407, 529?\n\"Answer: 11*g**3 - g**2 - 448*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364190 is divided by 2821.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -92.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -507 - -512. Suppose 0 = 14*o - 12*o + 2, 2 = j*x + 3*o. What is the remainder when x is divided by ((-1)\/2*-2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4 + 32*x**3\/3 - 2*x**2 - 32*x + 4373. What is j in y(j) = 0?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g - 24. Let p(y) be the third derivative of y**5\/60 + 4*y**3\/3 - 15*y**2. Let s be p(g). What is s rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56692826?\nAnswer: 2, 167, 269, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90.8 - -91.2. Which is the third biggest value? (a) -4 (b) 5\/3 (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwww when four letters picked without replacement from {w: 6, u: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 + 2200*m**4 - 48747*m**3 + 304274*m**2 - 311380*m - 666600 = 0. What is m?\nAnswer: -2222, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*f, 17 = 3*q + 5. Let l be (3 - -20)\/(f\/(-66)). Let w = l - -2102. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v - 381. Calculate m(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001101011101111100 (base 2) to base 13.\nAnswer: -45003c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 11*k - 20. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*j - 210, 2*s - 350 = -5*j - 0*s. Suppose -4*r - 3*m = r - j, 95 = 5*r - 2*m. Suppose -r = -5*i + 13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-55)\/(-30)*(-108)\/(-264)). Put -3, t, -5, -10 in descending order.\nAnswer: -3, t, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2721*d - 36734 - 2729*d + 36734.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 3. What is the remainder when m(-2) is divided by 6\/21 + 89\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5783 + 16067. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06582 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12109 + -12103. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -40.6. Let p = -1 + 1.2. What is the second smallest value in -2\/3, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15944, -16738, -18062, -19916, -22300, -25214, -28658?\nAnswer: -32632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 + a**4\/8 + a**3\/6 + 2*a**2. Let x be h(-2). Let m be (1 - x)*2 + -1. Solve -29 = 5*p + 3*j, 0 = -m*j - j - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -12. Let n = -0.0662 + -0.0338. Which is the closest to 0? (a) 4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 0.172533.\nAnswer: -0.01207731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 + (5 - (-408)\/42). Which is greater: x or 14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613178 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, n: 3}. Give prob of picking 1 d and 3 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:26 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*o**6 - 6209*o**3 - 11694*o**2 - 3 wrt o?\nAnswer: -960*o**3 - 37254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:40 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 94, 225, 418, 679?\n\"Answer: k**3 + 22*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 4. Let c be g(7). Let h = c + -21. Suppose 5*f - 25 = 0, x = -0*f - 2*f + 14. Solve p = 2*u - h*p - x, 3*p = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/227 and -67\/46220?\nAnswer: 10491940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + 3*u + 1. Let j be m(3). Let c be -6*j\/((-1)\/1). Suppose 0*h = h - c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -598737, -598739, -598741, -598743?\n\"Answer: -2*p - 598735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 290*a + 61*a + 144*a + 63*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3) + -2 + 1. Let d(u) = -u**3 - 6*u**2 - 6*u - 6. Let j be d(-5). Calculate the least common multiple of j + -2 - (x + -12) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 4*f**2 + 2*f + 6. Let c be x(-4). What is the common denominator of (0 - c)*19\/(-12) and 1 + ((-59)\/3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f + 6. Let r be a(-8). Suppose 5*n - r - 40 = 0. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.5 and -14253.383?\nAnswer: 14251.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 47. Let s = n - 30. Let f(r) = -r**3 + 2*r + 1. Let a be f(-2). Solve -a*z + 16 = -s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 7*g - 270. What is the second derivative of 3*y**5 - 17*y**5 - 18*y + 45 - g wrt y?\nAnswer: -280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*j + 3728, 10*j + 3716 = 18*n - 16*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - n + 1344. Suppose n = 4*x - 3*t, -2*x - 3*t + 4*t + 84 = 0. Calculate the remainder when 82 is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeevvvvvevvevee. What is prob of sequence ee?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1390)\/139*((-6)\/(-3))\/(-6)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) 0.2 (c) -1\/4 (d) -0.5 (e) -387 (f) 0.3 (g) 29\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/28*(-1415)\/(-1698)*(-4)\/(-5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-5\/3)*b**4*(b\/b**(-1\/8)*b)**(-9\/7) assuming b is positive.\nAnswer: b**(101\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.538396 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = 2*i, -3*i - 3*d = -7*d + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -19741 = 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*h + 2*j - 2968, 0 = 2*h - 4*j - 1208. Suppose 4*y - 1040 = h. What are the prime factors of y?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*o = 26, -6*w + o = -2*w + 34. What are the prime factors of (-112)\/w + 2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -19, -0.02 in decreasing order.\nAnswer: 5, 0.2, -0.02, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 5*n + 7. Let s be j(5). Suppose -2*u = 5*v - 21, -2 = -u - v + s. Solve 0 = 4*o - 4*t + u, -1 + 0 = 2*o - 5*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 17*q - 2. Let u be a(-11). Let d = 320 + u. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11) - (3358\/(-286) + 12)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i = 171 + 133 + 16 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (866*k - 442*k + 3 - 432*k)*((-2*k + 2 - 2)*(6*k**2 - 2*k**2 - 2*k**2) + 12*k**3 - 191*k**2 + 191*k**2 + k**3 + k**3 - k**3).\nAnswer: -72*k**4 + 27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4403 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/12*-6*-1. Solve r = n*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-24))\/(15\/(-9)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**3\/3 + 13*u**2\/2 + 16*u + 17. Let l be o(-16). Let n be (l\/4)\/(-4) - -6. Solve 10 = 4*a - n*q, -5*q = 6*a - 3*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + 10 = 0, 28 = 4*j - 4*t. What is the second derivative of -24*c + c**j + 9*c**2 + 16*c**2 wrt c?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1621 divided by -4\nAnswer: -1621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 86) + (-2 - 64 - 0) - 0?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/22217090 and -63\/5?\nAnswer: 22217090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (11 - (-44 - -22))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551 (base 13) to base 6.\nAnswer: 4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 8}. What is prob of sequence ppbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {u: 1, y: 2, d: 1, x: 3, a: 3, m: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 38. Let x be a(10). Solve 18 = -4*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10665617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/8)\/11*-2. Let s be (5 - q)*1\/2. Solve -s*b - 19 = -4*j, -5*b = -3*j + 42 - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let r = 4 - l. Find the second derivative of p**3 + 3*p**2 - p - 3*p**r wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g - 24*g = -76310. What is the remainder when g is divided by 221?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63364800 and 4472?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317952.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - 201873738830.\nAnswer: -201873738904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/3 + 1 + 1. Let t = -8 - -10. Suppose 0 = 3*u - 5*u + t*d + 6, d - 5 = -u. Solve -u*c = -n - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 1. Let j(l) = -5*l - 6. Let a(v) = j(v) - 6*p(v). Let q(g) = 100*g**2 - 196*g**2 - 14*g + 14*g + 97*g**2. Calculate a(q(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -283150, -284715, -286280?\n\"Answer: -1565*n - 281585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29839*q**3 + q**2 - q - 272558?\nAnswer: 89517*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 16*f - 15. Let y be q(17). Is -18 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let c(n) = -5*n**2 - 7*n - 2. Let y(d) = -c(d) + 4*o(d). What is y(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*k**2 + 4 + (-3*k + 2*k + 0*k)*(2*k - k - 2*k))*(5*k**2 - 11*k**2 + 5*k**2).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45.99412 hours?\nAnswer: 165578.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)\/l)**35 assuming l is positive.\nAnswer: l**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 9) in base 5?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2164 + -15150\/7. Which is the nearest to -2? (a) -17 (b) -4 (c) g (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y - 2. Let q(o) = -9*o - 4 + 2*o + 4*o**2 - 2*o**2. Let h = 26 - 12. Suppose h = -i - i. Determine i*f(g) + 3*q(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6010.617t to kilograms.\nAnswer: 6010617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 18 - 42. Let l(v) = 10*v + 96. What is the smallest common multiple of (-10)\/((-5)\/2 + 2) and l(o)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*0.454.\nAnswer: -23.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 234717.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3962.848g in milligrams?\nAnswer: 3962848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 2 + 10*k + 3*k**3 + 17*k**3 to p*k**3 + r + b*k**2 + j*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7890940, 7890952, 7890964, 7890976, 7890988?\n\"Answer: 12*q + 7890928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22750?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-75)*5)\/((-20)\/(-250))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 6, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 4*l + 4*l)*(-4*l + 3 - 3) + 11*l**2 - 3*l**2 + 0*l**2 + 0*l**2 - 2*l**2 + l**2 + 0*l**2 + 4*l**2 + l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*g - b, 3*g + 18 = g - 2*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 18 = -142. Calculate the remainder when i is divided by 2\/9 - (-97)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlglflzl. What is prob of sequence zd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16 + 10 = 0. Suppose -h = -3*d + 5. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h\/(h*h\/h**(-5)))\/h)\/h))\/(h*h*h**1*h*h)*h*h*h*h\/h**(2\/7)*h*h**(-4\/7))\/((h**(-1))**(-2\/19)*h**(2\/3)*h**(2\/19)) assuming h is positive.\nAnswer: h**(2500\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10 - 3*s - 2*s + 7*s - 3*s. Let b be n(-3). Let g(i) = -i**3 - 6*i**2 + 7*i + 3. Determine g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**5\/5 - 6*p - 2. Find the first derivative of s(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44118375*v**4 + 274434300*v**3 + 59058720*v**2 + 4304016*v + 104976.\nAnswer: 3*(v + 6)*(245*v + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a week in hours?\nAnswer: 3906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78, 151, 206, 249, 286, 323, 366?\n\"Answer: r**3 - 15*r**2 + 111*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 + 2*c**2 - c. Let y be v(1). Let m(p) = 68*p**2 + 3*p + 5. Is m(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+2152.221929141\nAnswer: 2152.241929141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 303?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 30. Solve -10 = q*z + f, -4*f + 0*f - 26 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-9 + (-11 - -11) - -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30007*c**3 + 60020*c**3 - 30010*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.920726 millennia to years.\nAnswer: 5920.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 3. Let t be m(-2). Let j be (2 + 12\/(-5))*t. Suppose -j*y = -3*y + 4. Solve -i + 0*s - 20 = y*s, -4*i - 3*s = 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 3*f, 4*o - 6*o - 10 = -f. Suppose 0 = -40*v + 36*v + 12. What is the second biggest value in 3\/8, 5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2960 = -5*b + 5*w, -2*b - 2*w = 2*b - 2374. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, n: 1, y: 2, c: 4}. Give prob of picking 3 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - (sqrt(160) + sqrt(10)))*1 - (1 + sqrt(378)\/sqrt(6)).\nAnswer: -13*sqrt(7)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -37\/2 (b) 0.06 (c) -50 (d) -4 (e) -4\/5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/135 and 24\/(-56)*(-1421)\/70.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2275887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**3 + 23 - 78 - 59 - 92 + 21 - c to z*c**2 + f + u*c**3 + g*c and give f.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/105)\/((-225)\/420).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 764*w + 760*w + 4, -5*u = -w + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppabjpjjapnnn. Give prob of picking 2 p and 1 j.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -81467980 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(2*sqrt(11)) - (sqrt(132)\/sqrt(3) - sqrt(44)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15697 - 15695. Let z = -627\/7 - -90. Factor -1\/7*k**t - 2\/7 - z*k.\nAnswer: -(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*1)*-4)\/(sqrt(6) - sqrt(24)*1).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*j**2*l**3*w + 7*j**2*l**2*w + 10*j**2*l*w + 24*j*l**3 - j*l**2*w wrt l?\nAnswer: -120*j**2*w + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 10*b**3 - 6*b**3 + (0 - 3*b + 0)*(4 + 0 - 6)*(-2*b**2 - 7*b**2 + 23*b**2) in the form d*b**3 + w + v*b + p*b**2 and give d.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -86. Let h = 152 - u. Suppose -i = -3*v + 7*v - 33, -3*i = -4*v - h. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20647.\nAnswer: 11, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-657)\/584)\/(16\/(-80)*-15).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218242345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 21017 and 21015 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 24\/8) + 1 + 33. Suppose r*f - 37*f = -10. Let t(a) = a - 10. Calculate t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6386 + -6386.00057808. Round z to six dps.\nAnswer: -0.000578","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9336587, 18673172, 28009757, 37346342, 46682927, 56019512?\nAnswer: 65356097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2219535 by -3.\nAnswer: 739845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3193 - -28729\/12772. Let c(a) be the first derivative of k*a**4 - 11 + 0*a**3 - 6*a**2 + 0*a. What is the second derivative of c(x) wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 - -4. Let h = -102 - k. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -10\/18809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -172506*i + 3622614. Determine t(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 2 - 0 - -10) + 1 - -29?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (6 + -3)) + 3 - (238 + -222).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-20\/7))\/((m**(3\/10)*m)\/m) assuming m is positive.\nAnswer: m**(319\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41978 by 302.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 3*x**4 - 6*x**4 + (-14 - x**2 + 14)*(4*x**2 + x**2 - 3*x**2).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/193, 0.3, -957?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 48*b**2 + 45*b + 17. What is w(23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.779446263 and -2?\nAnswer: 2.779446263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -25.72\nAnswer: 25.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(11) + -2)**2*6.\nAnswer: 96*sqrt(11) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 3*c**2 - 3*c**2)*(-4*c + c**2 + 4*c) - 228263*c + 720*c**4 - 3*c**2 + 228263*c.\nAnswer: 721*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3932 or -3853?\nAnswer: -3853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130450820297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**2 - 5*m + 2. Let p be -18*(-11)\/462 + 24*8\/42. Let k(z) = -4*z**2 + 0*z**2 - 2*z**2 + 2 - 5*z**2 - 6*z. Determine p*k(n) - 6*d(n).\nAnswer: 5*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3. Let y = 15 - 23. Let i be m(y). Is 13 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 63 in ascending order.\nAnswer: -5, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 78*w**2 + 912*w - 4960.\nAnswer: (w - 4)*(w + 20)*(w + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 49. Let w = x + -31.8. What is the third biggest value in -3, w, -0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45660*a**6 - 128*a**2 + 10.\nAnswer: 5479200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 2 - -8) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.9. Let f = -31 - -28. Let o be (-2 - -1)*f\/15*-1. What is the second biggest value in i, o, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 159\/10. Let p be 47\/(-47) + 4\/10. What is the biggest value in -1\/5, m, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5900 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18419 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/29400 and 43\/140.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/27 - (-2288)\/6. Suppose -6*h = -1964 - u. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 - 16*o + 37. Give h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 21. What is the remainder when v(13) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 10*o + 24 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.55849 and 4.8.\nAnswer: 4.24151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 + 6. Let d be 8\/(-20)*(-18)\/6*-5. Let s(y) = y**2 + 1. Calculate d*s(p) + q(p).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(1000)\/sqrt(5) - sqrt(8)) - sqrt(24)\/(sqrt(6)\/sqrt(2)))\/((sqrt(576) + sqrt(576)*2 + sqrt(576))*-6*1).\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 7 + 10)*(-4 + 6 + 8)*((-2*v**3 - 2 + 2)*(5*v**2 - 3*v**2 - v**2) + 7*v**5 + 5*v**5 + 0*v**5).\nAnswer: -700*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-53 - 1)*(-268)\/12. Suppose -3*t + n = t + i, -t = -3*i - 295. Suppose 2*w = 2*j - 148, -5*w - t = -4*j - 10. List the prime factors of j.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from -3.11.\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1751*i**7\/7 + 946*i**3 + 2074. What is the third derivative of u(s) wrt s?\nAnswer: 210120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 8*h**2 + 8*h + 9. Let l(d) = -d**2 - 5*d + 5. Let w be l(-4). Let g be b(w). Suppose -720 = -g*n + 2*n. What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 19*g + 540. Is 3\/(18\/57) - g\/(-24) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.996? (a) 0.1 (b) 3 (c) -1\/4 (d) 0.02 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454070619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1 + (0 - 2 + 0)*(-2 + 0 + 1) + 2 + 3 - 2)*(233*s**3 - 43*s**3 - 2*s**3).\nAnswer: 752*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/6*(2260\/(-35)*13\/52 + 11)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 51. Which is the second smallest value? (a) -1 (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1606*-0.02.\nAnswer: 32.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-143)\/9152*288)\/(117\/(-20)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.30213 and 0.1?\nAnswer: 5.20213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 - 13*u + 17\/24*u**6 - 3*u**2 + 0*u**4 - 1\/30*u**5 - 1\/3*u**3. Find the third derivative of x(s) wrt s.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let s(t) = 3*t**2 - 8*t - 3. Let h(x) = -5*j(x) - s(x). Let q(g) = 2*g**2 - 7*g - 1. Let v(b) = -6*h(b) - 10*q(b). Factor v(p).\nAnswer: -2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-16170)*-14*56\/(-12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1\/5*u**3 + 1\/5*u + 56\/5 - 57\/5*u**2 + 1\/5*u**4 = 0.\nAnswer: -7, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 57?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 15. Let l be z(6). Let i be 69\/8 + l\/24. Suppose 8*w = i*w - 39. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -19*((-1)\/(-2) - (-46)\/(-4))?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.119618348 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - 204?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w - 4*w + w + (1 + 2 - 1)*(-3*w + w + w) + 3 - 3 + 3*w + (-1 + 0 - 1)*(-1 - w + 1).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - c. Let p(m) = 7*m**2 + 3*m - 5. What is 3*a(l) + p(l)?\nAnswer: 4*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435 = 22*w - 567. Solve 0 = -16*r - w + 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 2 - -3 - (22 - 16). Suppose 4*j + 4*n - 20 = 0, -2*j - 4 = -2*n + 6. Let l = 3 - j. Sort l, 0, -3, u in increasing order.\nAnswer: -3, u, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l**(-1)*l))))\/l)\/(l*l\/(l*l\/l**(2\/5)))*(l**5*l*l)\/l**1 assuming l is positive.\nAnswer: l**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2 + 0*f**2 + 11\/3*f**3 + 0*f**4 + 11\/5*f**5 + 0*f. What is the third derivative of g(a) wrt a?\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 2*n**3 + 4*n**3 + (4 - 4 - n)*(2*n**2 + n - n) + 7*n**3 - 5*n**3 + 3*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 15, 3*w - x = 141. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**3 + 0 + 0)*((-3 + 0 + 1)*(3 - 6 + 1) + 12528 + 13849 - 34148) to w + z*a**3 + l*a**2 + v*a and give z.\nAnswer: 15534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.413*-0.4.\nAnswer: -0.1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b8 (base 12) in base 15?\nAnswer: 32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:27 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(425)*-4.\nAnswer: -20*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -759.72729 - -15283\nAnswer: 14523.27271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let v = 5 - b. Let r = 60107 - 60104. Sort 2\/9, v, r in descending order.\nAnswer: r, v, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821023 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*l - 1 - 7, 4*c - 14 = -l. Let a(m) = -3*m**l + 2*m**2 + 6*m + 1 - 5 + 8. What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4353625 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/101))**(-33) assuming h is positive.\nAnswer: h**(-66\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3. Let n be 0 + (-1 + 2 - 0). Let r(x) = -2*x**3 - x**2 + 12. Let s(d) = n*r(d) - 3*a(d). What are the prime factors of s(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {g: 1, u: 1, h: 1, i: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*q + 8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 46861*f**3 - 12*f**2 + 11*f. Let n be y(1). What is the tens digit of n\/100 - 6\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3261 - -26127\/8. Calculate the common denominator of f and 50\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let x = 4 - g. Solve -x*p - 8 + 23 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 211, -42, -1, 1.231?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 0 + 0 - 3*o + 0*o + 2*o + (4 - 4 - 2)*(-o + 4*o - 2*o) - 624*o - 2802636 + 2802636 + 2485*o to s + k*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from dffddldfflff.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 163701 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dowwvvddddowodvdvrv. What is prob of sequence dr?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, l: 2}. Give prob of sequence uu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 40 = 4*n, 2*n - m = 6*n - 50. Suppose 2 = -p - n. Let z be (60\/p)\/(5\/35). Round z to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/5))**(-4\/5))**(-1\/3)\/(((v**(-2\/7)\/v)\/v)**(2\/59))**(-2\/5) assuming v is positive.\nAnswer: v**(2984\/10325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 5*j + 5. Let v be (-5)\/1 - (2 - -1). Is 12 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1635 and 9857730?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 518051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/738108 and -41\/9268.\nAnswer: 244313748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 594878.98766 from -290.\nAnswer: -595168.98766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1020203213122?\nAnswer: 1020203213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 16*h - 24. Let g be r(14). Let u(z) = -z**3 - 3*z**2 + 5*z + 6. Let k be u(-4). Let l(s) = -4*s + 5 + 3*s**2 - s**k - 3*s. Give l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5329*q + 589.\nAnswer: 5329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 7*l**3 - 354*l**2 + 3052*l + 7448.\nAnswer: (l - 14)**2*(l + 2)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15440268.\nAnswer: 2, 3, 23, 43, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 + -112?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39413451 is divided by 137329.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Suppose c + 38 = -4*i, -6*i + i = v*c + 64. Let r = c - -27. Solve 0*y - r = 2*y + t, -4*y - t = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2900767.\nAnswer: 83, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v**4 - 1\/2*v**2 + v**5 + 9 + 0*v**3 + 0*v. What is the second derivative of d(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 592\/11. Let i(y) = -y**2 + 6*y. Let o be i(5). Suppose 5*l = -0 - o. Is l greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2 - 7*a - 4. Let i be s(-6). Suppose -z - 1 - 1 = 0, o - i = z. Suppose -4*d - 5*k + 97 = o, 0 = 3*d - k - 2*k - 39. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-640.\nAnswer: -1920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199*b**2*t**2 + 74*b**2 + 1152*b*t**2 + 37708831*t**2 wrt b?\nAnswer: 398*b*t**2 + 148*b + 1152*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, 0, 477, 0.01, -5, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*k**3 + 31*k**4 - 135*k**3)*(-20*k + 154 - 154) - 5*k**5 + 0*k + 0*k.\nAnswer: -625*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4 - 2. Sort 4, 0, q, 2 in descending order.\nAnswer: 4, 2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - sqrt(343)*2) + 1 - (sqrt(343) + 2*sqrt(343) + -2))**2.\nAnswer: -168*sqrt(7) + 5497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -31. Suppose -4*j + 5*c = -300, -5*j - q*c = -57 - 273. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 3, -2, -3, 2123, -32\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1 (b) -0.23 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 2 i when four letters picked without replacement from {d: 3, q: 3, o: 2, z: 4, i: 2, w: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 + 482. What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 482372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/24)\/((36\/96)\/((-315)\/20))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7510 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -4*s - 2*s**3 - 1\/20*s**5 + 0 + s**4 + 6*s**2. What is the units digit of n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -11)*(1 - 0). Which is the nearest to 0.1? (a) -5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 153*f**2*w + 45*f**2 - f*w - 213*f - 117*w - 124407 wrt f.\nAnswer: 306*f*w + 90*f - w - 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71495296547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4 - 1. Let f(p) = l - 3*p - 5. Let i(b) = -18 + b**2 + 18. Give f(i(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19898 - -596863\/30. Calculate the common denominator of z and 38\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 15*g + 13. Let u be k(7). What is the remainder when 171 is divided by (u\/8)\/((-7)\/(-140))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**2 + 0 + 3 - 29*n**4 - 20*n**4 + 63*n**4 to the form b*n**2 + p*n**3 + x + c*n + q*n**4 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69675, 21, -2, -4 in decreasing order.\nAnswer: 21, -2, -4, -69675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45785830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 16, w: 1}. Give prob of sequence wcww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 25. Suppose h = -4*d - 988, 5*h - h = -j*d - 4007. Let k be 2\/(-12) + (-6)\/h*4. What is the smallest value in -0.2, 0.1, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (7 + -9)\/((-1)\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 29*d + 29*d + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4208889)\/(-1028)*(-4)\/(-1) is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566470117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - -63 - 106)\/(438\/(-4)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**4 - 655*k**3 - 3*k**2 - 4897*k wrt k.\nAnswer: 36*k**2 - 3930*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*u + 392 = 382, -2*p - 24 = 7*u - 0*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111110001 + 1?\nAnswer: -101111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 + 75682*q**2\/3 - 716008480*q\/3 + 715932800\/3 = 0. Calculate q.\nAnswer: 1, 18920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + 5*f**2\/2 + 5*f - 8. Give z(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115\/345 + (0 - 3224\/(-3)) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3020 divided by 5.\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212504510 - -2?\nAnswer: 212504512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 37330.88.\nAnswer: 18665.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2479 + -2?\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19073406503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 4, 3\/8, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 942363 + 333*i**2 - 942363 - 1012*i**2 to the form x + s*i**2 + g*i and give s.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665144683 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjy when three letters picked without replacement from {y: 2, s: 1, a: 1, j: 2, p: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*q + 32 = -2*q, 0 = -5*u + q - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -230, -350, -472, -596, -722, -850?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4171.348 meters?\nAnswer: 4.171348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 6. Let x be d(-3). Suppose 0*k + 603 = 3*b + x*k, b - 4*k = 216. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -81.5. What is p rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -8430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4, 5*k + 1 = 2*d - 2. Let h be 3 + (-18)\/5 + 38\/5. Let f be 5\/h - (k + 2). What is the third smallest value in -5, f, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/539)\/((-1)\/(-7))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let v(r) be the second derivative of -r**3\/2 - 3*r. Give b(v(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3864299 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:06 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86533\/315 + -5155\/18. Let y = 35\/3 + h. Is 1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 21178675?\nAnswer: 190608075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - 88\/3. Suppose l = -3*q - 15, -3*q + 75 = -5*l + l. Let s = l - h. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 1756 = -33*x. What is the derivative of -111*l + 48 + 67 + x - 50 wrt l?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -565*j + 439*j + 2906*j**2 - 1151*j + 1504*j**2 - 3159*j wrt j.\nAnswer: 8820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625933 to the power of 1\/2, to the nearest integer?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5980 and 1040?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(55)*-1 + sqrt(55))*1)\/sqrt(11).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v + r + 42, 2*r = -4*v - 24 + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 5*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n - 64 = -26*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -32. Suppose 0 = 3*p + 5*t - 12, -d = -p - 3*t + t. Let -2*r**3 - p*r**3 + 7*r**3 - 3*r**3 = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Suppose 2*u + 2 = -0*u. Sort t, u, 4.\nAnswer: t, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 + 367 = m - 4*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.2, 0.081, -1\/71?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(11 + (-52)\/4) - 166\/(-41).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877727.9 days in hours?\nAnswer: 21065469.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8957 + 1.9. What is b rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3143*l. Let k(u) = -785*u. Let t(r) = -9*k(r) - 2*x(r). Let c(h) = -14*h**2. What is t(c(w))?\nAnswer: -10906*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 5389?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-6)*3\/(-12)*-1*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4\/4) + 1271. Let u = d - 640. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let u(p) be the second derivative of 3*p**4\/4 + 7*p. What is s(u(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-40)\/5 - (-324)\/(-17)\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.3 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-24)\/18) + 4)*(-8 + 1456\/184)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3793 = 21*c - 1604. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-338\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887141 is divided by 641?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 804, 772, 636, 396, 52, -396, -948?\n\"Answer: -52*z**2 + 124*z + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z - 2. Let d be n(4). Let b = d - 15. Solve 0 = b*a + c + 10, 4*a + 0*a - 4*c = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 2, e: 3, r: 3, a: 3, i: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -11\/6*u**3 + 0 - 11\/60*u**5 + 2*u**2 + 0*u + 0*u**4. What is the first derivative of v(j) wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 6, e: 6, s: 1, q: 1, u: 1}. Give prob of picking 1 l and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*p**2*w + p**2 + 344658*p*w**2 + 119*p + 2*w + 38185 wrt w?\nAnswer: 6*p**2 + 689316*p*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(175)*-2 - 3*(0 + sqrt(175)).\nAnswer: -25*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 + -268. Which is smaller: y or 695?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-48))\/(103\/(-4635)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. Factor -16 - 6*z**2 + 2*z - 2*z**3 - t*z**2 - 26*z.\nAnswer: -2*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 2*b**2 + 0*b**2 + 2*b**2 + 0*b**2 + 0*b**2 + (4*b**2 - 2*b**2 - b**2)*(-1 + 3 - 3) + 0*b**2 - 3*b**2 - b**2 to k + p*b**2 + h*b and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*t - 77*t + 14. Solve -16*c + 14 = -t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 - 31302*i\/5 - 1467936.\nAnswer: -3*(i + 240)*(i + 10194)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:31 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 2*l**2 - 1. Let v be j(-1). Let w be (2 + -6 + v)*-1. Suppose w*y = -x + 11, 7*y = 3*y - 4*x - 4. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -4*d + 152. Is -5 + 13924\/16 + d\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1203400, 1.\nAnswer: 1, 4, 1203400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48610)\/29166*(-2)\/(-50)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2237 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1613 = -4*s - 53. Let h(i) = 17*i + 390 - s. Let c(b) = 4*b**2. What is h(c(x))?\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*k - 2*z - 3, -41 = 5*k + z. Let d be ((-12)\/k)\/(2\/4). What is the highest common factor of d and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/12*(-2)\/5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 2, j: 4, v: 5}. What is prob of picking 2 j and 1 z?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611576 divided by 44264?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let w be -3*2*(-28)\/12. Suppose m = 15*d - w*d. Solve -2*y = -6, -d = -3*s + 2*y + 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 23 + 13 + -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 13. Suppose -6*r + 28 = -13*r. Let n be l(r). Solve g = 3*k + 9, 6 + 9 = -g - n*k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1450 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*f + 979 + 529, -4*f = 3*l - 2264. Let q = -373 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 180, 270?\n\"Answer: 90*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**8\/84 - l**6\/40 + 4*l**5\/3 + l**3\/6 + 4*l**2 - 17*l. What is the third derivative of t(b) wrt b?\nAnswer: 240*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11172, 11057, 10888, 10683, 10460, 10237?\n\"Answer: 3*o**3 - 45*o**2 - o + 11215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 66, 153, 310, 561, 930?\n\"Answer: 4*x**3 - x**2 + 16*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 15 - ((-11 - -8) + 4) - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3279, -7132, -10983, -14832?\n\"Answer: v**2 - 3856*v + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)\/c*c**(-1\/4)*c)**39 assuming c is positive.\nAnswer: c**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7144, -7150, -7170, -7210, -7276, -7374?\nAnswer: -7510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -405438?\nAnswer: 405470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2171 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*a + 379 + 508 = -185 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125700*q + 46*q**3 - 251402*q + 125698*q.\nAnswer: 46*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101000100101111011 (base 2) to base 8\nAnswer: 504573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 202\/7, -0.4, 4?\nAnswer: 202\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104, -401, -984, -1925, -3296, -5169, -7616?\n\"Answer: -12*m**3 - 71*m**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:19 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35 + -0.65. Put -2\/11, u, -5 in ascending order.\nAnswer: -5, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose 6 = -3*q - j. Let z(y) = -y**2 - 3*y - 2. Give z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3527 - 17628\/5. Factor 2\/5*k - q*k**2 + 0.\nAnswer: -k*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*o**2 - 2 + 1 + (-3*o + 9*o + 8*o)*(-4 - 3*o + 4) to p*o**2 + b*o + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -27, 23, 93?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/15 - a**5\/30 - a**4\/4 + a**3 - a**2 + 11*a. Is r(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*w**4 + 2*l*w + 98*w**4 - 118*w**2 wrt w?\nAnswer: -24*l*w + 2352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - 29\/((-2175)\/(-270))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/13255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13370556 by -6685278.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 126280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -172 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26010 + -580?\nAnswer: 25320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466899 is divided by 11387.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = 17*j - 60. Let x be (j + 8)*(-1 - 5). What is the highest common divisor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1593\/1883 + 3\/269. What is the smallest value in 8, q, -6\/7, -0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532)\/(-152)*16\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17551827 - -33828000?\nAnswer: 51379827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 8, -5*o + 4 = g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 4*r**2 - 2*r - 4*r**2 + ((0 + 4 - 5)*(-2 + 4 - 18)*(-2*r + 4*r + 0*r) + (-4*r + 2*r + 4*r)*(0 + 2 - 3))*(25*r**2 - 22*r**2 - 17*r**2).\nAnswer: -421*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428283365 to the nearest integer?\nAnswer: 20695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 1 + 1)*(-4*u**3 - 3*u**3 + 5*u**3) + u**4 + u**4 - 4*u**4 + 7*u**2 - 4*u**4 - 7*u**2 - 24*u**4 + 0*u - 9*u + 8*u.\nAnswer: -26*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7700197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let v(c) be the third derivative of -c**8\/10080 + c**5\/10 + 3*c**2. Let j(z) be the third derivative of v(z). Determine j(t(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agy when three letters picked without replacement from abaaaqgyy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1035 + 1022. Let r(b) = 31*b**3 - 2*b**2 + 13*b. Let q(f) = -15*f**3 + f**2 - 6*f. What is m*q(k) - 6*r(k)?\nAnswer: 9*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 - (1 + 4\/4). Let z(g) = -2*g**2 + 24*g + 31. Let p be z(a). Calculate the highest common factor of 4 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 6. Let l be y(-12). Let k = l + -26. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*s + 1 = 25, 0 = -2*b - s - 3. Let a = -45332 + 45353. What is the greatest common divisor of b and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113494*o**3 + 19626*o**2 - 19779*o**2 - 113493*o**3.\nAnswer: o**3 - 153*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 4*c**3 + 3*c**3 - 2*c**3 - c + 5 as r*c**3 + o*c**2 + w + f*c and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:30 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3199, -2893, -2589, -2287, -1987, -1689?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(sqrt(24) + (sqrt(72)\/sqrt(3) - sqrt(24))*-2)\/sqrt(12)*-2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223510920.\nAnswer: 2, 3, 5, 1862591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*w + 45*w - 456. Calculate the least common multiple of w and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34095.\nAnswer: 3, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -75. Let x = -163\/468 - 5\/52. Which is bigger: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-30) - 1*-4. Solve -7*q = -31 - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 7 - 4 - 3.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-4*(sqrt(51) + (2*sqrt(4131) - sqrt(4131))))\/(sqrt(147) + -4*sqrt(147)*-1))*-4.\nAnswer: -96*sqrt(17)\/7 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1258585.\nAnswer: 1\/251717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:18 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*-2*sqrt(121))\/((1*sqrt(11) + sqrt(11))*-2))**2*2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -118060 divided by 10\nAnswer: -11806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 - 3*n + 10. Let w be a(2). Is 54 a factor of (-27)\/(-6)*(-5 + w + 269)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7938 = -97*b - 442*b - 25451 + 510 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -386952755 by 35.\nAnswer: -11055793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + f**2 - f - 2. Let m be n(-2). Suppose 15 = 5*t - m. Suppose -2*v = -5*s - 21, 3*s = -2*v + t*v - 43. Is 9 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2. Let w(k) = 2*k + 11. Let h(f) = 6*g(f) - w(f). Let d(m) be the first derivative of -4*m**2 + 3*m - 7. Let i(u) = -2*d(u) + 9*h(u). Calculate i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -2, -4, 2, 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (74 - (178 - 79) - (-86 - -2)) + 17\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.04177\nAnswer: 0.008354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 58.5. Let m be (-140)\/(-2) - 4\/((-3)\/(-3)). Let s = m - 265\/4. Which is the closest to s? (a) 0.4 (b) 2\/39 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let d(z) = -239*z**2 - 63. What is d(r(b))?\nAnswer: -239*b**4 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**4\/24 - 7*o**3\/6 + 2*o**2 - 6. Let b(f) be the second derivative of k(f). Determine b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v**2 + v. Let b(i) be the first derivative of -i**3\/3 + i**2 + 96. Let f(k) = 12*k**2 - 27*k. Let n(p) = 27*b(p) + 2*f(p). Determine g(n(u)).\nAnswer: 171*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 2*t - 6*t + t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - 3*s**2 + 54 - 19 - 30*s**2 to the form h*s**2 + w*s + a and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 53*m**2 + 9*m + 27. Let x(u) = 13*u**2 + 2*u + 7. Let o(w) = -2*q(w) + 9*x(w). Differentiate o(n) wrt n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 10*p + 27. Let u be g(-7). Let a(b) = -u*b**2 + 7*b**2 - 3*b**2. Let x(j) = -10*j. Calculate a(x(q)).\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 19*s = 57. What is the first derivative of s*u - 9*u + 133*u + 53 wrt u?\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29473240 to the power of 1\/3, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 3. Let b be m(-5). Let g = b + -2. Let y be 1\/1*(g + 0). Solve y = -3*l - 0*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*m + 0 = -2, -5*m + 5 = -4*n. Let j(h) be the third derivative of -h**6\/120 + h**5\/60 - h**4\/24 + h**3\/2 + 3019*h**2. Give j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134328 is divided by 316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 788110 divided by -530?\nAnswer: -1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4, h + 57 = g - 87. List the prime factors of (20\/7)\/((32\/h)\/(-4)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74464 divided by -2?\nAnswer: -37232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2 (c) -2\/7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/(-18) + 3 - (-8 - 102\/(-12))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17315 = 2*q + t - 130183, 3*t - 395035 = -7*q. What are the prime factors of q?\nAnswer: 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssasaassssaaaaasaa. What is prob of sequence ass?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 11 + 1. Suppose y*q = -0*q. Suppose q - 1\/4*x**2 - 1\/4*x = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81666 - -0.27.\nAnswer: -81665.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000084012 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.005 - -0.095. What is the closest to p in -3, 5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**6\/360 - 4*r**3\/3 + 2*r. Let p(x) be the second derivative of o(x). Let y(n) = -3*n. What is p(y(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdwps. Give prob of sequence wgps.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 829804268 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411968451.\nAnswer: 3, 41, 89, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -145 - (27 - 48 - 9 - -3).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 524*k. Let r(z) = 147614*z. What is r(m(h))?\nAnswer: 77349736*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56, 15, -11, -0.2, -1.7?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose -k + 32 = q*d, -4*k + 6 = -k. Let i(l) = -l**2 + 25*l + 96. Let h be i(24). What is the greatest common divisor of d and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*r**4 + r**3 + 6165*r**2 - 392*r + 4263.\nAnswer: -132*r**2 + 6*r + 12330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1939287*c**2 + 2638331*c?\nAnswer: -3878574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 2436682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 357860*o - 357865.\nAnswer: 5*(o - 1)*(o + 71573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1979, 0.085, -1.\nAnswer: -1, 0.085, 1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*j**5 - 4*i*j**2 + i*j + 35*j wrt j.\nAnswer: 40*i*j**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 7 + -2 + (3 - -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010033 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*i + 2976*d**2 + 18*i**4 wrt i.\nAnswer: 2*d**2 + 72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - -66 - (0 + -42)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n - n**2 - 17\/6*n**3 + 0*n**4 + 0 + 3\/10*n**5. Differentiate b(g) wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 2*h + 2. Let f(g) = g**2 - g + 2. Let o be f(0). Let j be ((-36)\/60)\/(o\/10) - -1. Let l(k) = -20*k**3 + 11*k - 11. What is j*l(m) - 11*t(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = 2*m + 300, 3*r - m - 180 = 0. Suppose -o = 14*o - r. Solve 0 + 4 = -l, -l = -3*f + o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z. Let v(t) = 11451775*t**2. Determine v(u(m)).\nAnswer: 286294375*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0089 - 0.0849. Which is the third smallest value? (a) -1\/4 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23741267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8582595 and 1296?\nAnswer: 8583891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13298829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2c (base 13) to base 2.\nAnswer: -11011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(833) - (sqrt(833) + 0)*-2) + 3 + sqrt(833) + 0 + sqrt(833))**2 + 3)*6.\nAnswer: -500088 - 5040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - j - 62875*j**2 + 62882*j**2. Let x(p) = 2*p + 18. Give x(g(y)).\nAnswer: 14*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (175 - (-35 - -58) - 12)\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g**3)\/(g*g**(-2)*g)**(-17) assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(8 + -8). Let v(y) = -2*y + 8. Suppose 0 = -2*q - 9*q + 341. Calculate the remainder when q is divided by v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 34. What is the remainder when 70 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 11567257.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -143071?\nAnswer: -143076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6754, -2\/5, -2\/3 in decreasing order.\nAnswer: 0, -2\/5, -2\/3, -6754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4645049\/70 + 66359. Calculate the common denominator of 36\/5 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -30 - (-623 - -672).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, f: 2, j: 4}. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3025765859 and 1025?\nAnswer: 3025766884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*a = -68*a + 88. Suppose 12 = 2*r - 16. What is the units digit of (-8)\/28 - a\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10920 and 2184.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*3\/30)\/(28\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 20988270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - w - w + 48, 5*u - 3*w = 28. Factor 4*r**2 + 105 - 41 + u*r - 40*r.\nAnswer: 4*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 9 + 7 = 0. Let c = -4 - h. Suppose c*x = 3*x - 30. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 5. Let g(u) = -3*u + 2. Suppose -3 + 1 = -i. Suppose i*n + 9 = -1. Let d(a) = n*g(a) + 2*o(a). Let v(x) = x. Calculate v(d(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:04 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 9. Give f(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**3 - 13*n**3 - 13*n**3 + 51*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 8) in base 6?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1455850, 1455820, 1455740, 1455586, 1455334?\n\"Answer: -4*o**3 - o**2 + o + 1455854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, q: 2, u: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3053 - -3225. Is l a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/8 + -59\/56. Let u = 0.17 - -0.63. Let q = u - -2.2. What is the closest to 0.1 in 2, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.144 and 59.\nAnswer: 60.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1782583*v + 7. Let k be d(6). Let b(f) = -56181*f**3 + 6*f**2 - 3*f - 5. Let t be b(4). Let l = k + t. What is l rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3123094 is divided by 546?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 3, 16, 5, -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -23. Solve -18*f - 7 = -g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 50*c - 43*c. Suppose -2*s - 2*s = -28. Suppose -4 = -t, -3 = p + 2*t - s*t. Calculate the remainder when c is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 12. Let q be 0 - (-3)\/((-3)\/c). What is the greatest common factor of 104 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5095 - -5110. Suppose 2*f + o - 23 = 0, -o + 42 = 3*f + 3*o. Calculate the highest common divisor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -38. Let g = -39.1 - a. Let c = -4.06 + 0.06. What is the nearest to g in c, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + v = 2 + 15, 4*s + 5*v + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 518*t**2 + 140. Let b(d) = 22*d**2 + 6. Let m(v) = 140*b(v) - 6*i(v). Let r(z) = -4*z + 4*z - 9*z**2. Determine r(m(s)).\nAnswer: -7056*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/340 and 55\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3433018242 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t - 15. Let n(u) = -u**3 - 7*u**2 - 7*u - 7. Let h be n(-6). Let j = 23.3 + -28.3. What is the closest to -0.2 in t, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3552631 (base 7) to base 16\nAnswer: -6ddc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600056 divided by 428.\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002990937305 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:19 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let k(u) = u**2 + 11*u - 10. Let d be k(-12). Suppose b - 3*g = -b + 17, d*b - 2*g - 14 = 0. Let q(y) = 5*y + 4*y - 4*y - b*y. Give q(j(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4630710 is divided by 661530.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a factor of 229552512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 + -7. Let d = 27738 - 27733.6. What is the biggest value in d, 4, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 426 and 69.\nAnswer: 9798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -41526220.\nAnswer: -41526219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-30) - 4\/(-5). Suppose -5*a + u*a + 20 = 0. Put a, -2, 1 in ascending order.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340863 and 15?\nAnswer: 1704315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 15*f**3 + 0*f + 7*f**3 - 23*f**3.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3196*i + 662*i**2 - 7743*i**3 - 761*i + 5696*i - 662*i**2 wrt i.\nAnswer: -46458*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.071*-1.5782\nAnswer: 0.1120522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 13*t**2 - 2*t + 17. Let u be m(-6). Suppose -u = -22*b + 259. Calculate the highest common factor of b and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 1. Let g(a) = 2*a - 20. Let x be g(10). Suppose b - 3*b + 4 = x. Suppose -3*d = -4*t - 8, -5*t + b - 12 = -5*d. Determine h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 10*o + 10*o + (-1 + 3 + 0)*(0*o**3 - 2*o**3 + 0*o**3) + o**3 + o**2 - o**2 + (498 - 1225 - 949)*(0 - 1 - 1)*(-2*o**3 + 2*o**3 + 2*o**3).\nAnswer: 6703*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2173 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75915, 151783, 227651, 303519, 379387?\n\"Answer: 75868*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 2*y + 3 = u - 12*u + 28, 58 + 22 = 8*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -16.145?\nAnswer: 8.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 956, 1469, 2896, 5687, 10292, 17161?\nAnswer: 26744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -q, -5*y = -7*y - 5*q + 27. Let m = -18 + 25. Let r = y - m. Solve -p = 5*a - 18, r*a - 4*p = -p + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvbkkbhbv. Give prob of picking 1 k and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/12)\/(1\/(-2)). Let h = 6095 - 6094.5. What is the nearest to -2\/3 in 0.3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -25, r = -4*r - 3*g - 90. Let s be ((-6)\/9)\/(1\/r). Is (s\/(-4))\/((-2)\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Suppose -f + 10 = -4*i + 49, -5*i + 36 = 3*f. Let q = i + -33. Let t = q + 22. Determine h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*u**4 - 2*u**3 + 6*u - 7*u - 22853 + 22851 + 0*u**2 + 2*u**2 to the form t*u**4 + y*u**3 + g*u + a + b*u**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 2*m + 26, 4*m = 4*k + k + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = f + 3*h, -1123503*f + 31 = -1123502*f - h - 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -22*l**2 + 145*l - 145. Let d be g(1). Let w(v) = v**2 + 23*v + 20. Give w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/60 - 6*q**2. Let a(d) = -4*d**2 - 3*d. Let g(m) = m. Let j(z) = a(z) + 3*g(z). What is j(v(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrqrqrrmrr. Give prob of picking 2 m and 2 r.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 19 - -7) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -3*l**5\/40 - 11*l**4\/4 - 179*l. Find d such that g(d) = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 + 1 = 0. Let r be (6 - v) + (-2 - -5). Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u. Let f(k) = -37*k**2. Give f(t(s)).\nAnswer: -2368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5537, 9639, 13749, 17873, 22017?\nAnswer: 26187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 8*s**2 - 7*s - 3. Let q be a(9). Suppose -2*b + 8 - 2 = -r, -5*b + q = 3*r. Solve g - b = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -63, -217, -515, -1005, -1735, -2753, -4107?\n\"Answer: -8*m**3 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, -3*y + 44 = -4*z - 6. Let c = -62 - -54. Let t be (-16)\/c + (2 - -1). Solve -7 = -t*f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 77783165 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-54)*(-6)\/4. Let c(k) = -13*k + f + 15*k - 1. Let u(a) = -13*a. What is u(c(j))?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 0*y + 39\/2*y**2 + 1. Let r be z(1). What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9915\/27 + 172\/36 + -5 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 + 24 = 4*j, 5*y - 25 = -5*j. Let i(k) = -2 - y + 0 + k + 0. Give i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1*10\/4. Is (2\/(-5))\/(9702276\/1940460 + s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3\/2)\/g)\/g)\/g**8)**(-2\/29)*(g**(2\/3)\/g**(-2\/3))**36 assuming g is positive.\nAnswer: g**(1415\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1428, 112, -6690, -21720, -47720?\n\"Answer: -457*r**3 - r**2 + 1886*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 210?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.8 (b) -0.3 (c) -383887 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40185 and 3?\nAnswer: 40185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 4) to base 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 3. Let h be 42 + 0 + 4 + j. Solve -h = -5*v - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -10. Let u = x + 4. Suppose -u*c + 33 = c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vhvfbfhhffffffh.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((30*(-62)\/(-1085))\/(-4))\/((-1)\/238)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2115 + 2118. Solve -o*w - 5*h - 27 = 0, 2*h + 1 = -w + 3*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from evvvvezeveeeeeveee.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 0 - 7*x + 3*x + 3.\nAnswer: -8*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 13*p - 1000334*p**2 + 1000332*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21)**(-10\/7) assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 1. Let f(m) = -m**2 + 9*m - 10. Let p be f(7). Suppose -5*v + 37 = p*y + 11, 4*v = y + 25. Calculate l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 11*n. Let u be q(12). Let p be 9\/u + 8\/(-128)*-68. Sort -2, p, 13 in ascending order.\nAnswer: -2, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7998 - -8025. Let q(u) = 9*u + 1. Suppose 2*f - f = 3. Let z be q(f). Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -100*y + 101*y, 3*z + 3*y - 21 = 0. What is the nearest to -0.1 in z, -1, 51, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 786.\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51424, 102850, 154276, 205702?\n\"Answer: 51426*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.17 less than 13.608569919?\nAnswer: 70.778569919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8238*11\/(-90) + (-2)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*b**2 - 86*b**2 + 3546 - 1777 - 1769.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i**4 - 3 + (31*i + i + 25*i)*(2*i**3 - i**3 - 4*i**3))*(3 - 1 + 0).\nAnswer: -346*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250269733?\nAnswer: 7, 17, 2103107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 36*w - 27*w - 27, 5*w = 5*x - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7066 is divided by 99.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b403 (base 12) in base 2?\nAnswer: -100110010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -32.0000096. Round p to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1314.4 + -1314. Which is the third smallest value? (a) 1105 (b) z (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/213482 and 85\/14.\nAnswer: 1494374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186 and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g**2 + g + 1. Is 15 a factor of n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 850*d - 2944*d - 3620*d + 808*d + (1 + 1 - 4)*(-d + 0*d + 2*d) - 5*d + 3*d + 3*d.\nAnswer: -4907*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -34*f - 11. Let p(w) = 2*w. Calculate o(c) + 4*p(c).\nAnswer: -26*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 8. Let n be (1\/(-3))\/(4\/3). Let q = 0.13 - 0.33. What is the biggest value in x, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1263?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 2798741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 3*r**2 - 23*r - 53. Calculate g(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.81 + -34.45. Let i = j - -0.26. Let q = 36.9977 + i. Round q to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 15 = -11*h - 3*p, -2*h - 3*p - 7 = 0. Let t be 1356\/9 + -2 - h\/24. Suppose w = -3*l + 10 + t, -5*l = -2*w + 373. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -112. Solve 0 = o*x + 3*x - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428475691 to the nearest integer?\nAnswer: 20700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.94. Let d = -0.06 - o. Let f = -0.3 + d. Is f bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = t. Solve 3*d + 14 + t = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000486741 rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 76*r - 2. Suppose 0 = 4*a - 4*k - 39 - 121, -4*k + 30 = a. Calculate the remainder when g(6) is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 1364*y**3 + 4120*y**2 - 2752*y = 0.\nAnswer: -344, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 0*r - 44 = 0. Let b(k) = -4*k**2 + 54 + 49 + 4*k + 5*k**r - 104. What is b(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 1, a: 1}. What is prob of sequence ap?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - i + 26. Let w be y(2). Let v(j) = j**2 - j - 1. Let b(s) = 3*s**2 - 5*s + 9. Calculate w*v(o) - b(o).\nAnswer: o**2 + o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -39*p - 240. Give j(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(2\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 778\/85 - 74\/17. Let p = y - 5. Which is the smallest value? (a) 2\/11 (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let p be s(11). Suppose -8*x = -p*x + 62. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {a: 2, t: 5, u: 1, r: 3, x: 7}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 110*u - 12. Let n(r) = 202*r - 22. Let q(f) = 11*k(f) - 6*n(f). Let g(a) = 2*a - 6928. Determine q(g(w)).\nAnswer: -4*w + 13856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 11:17 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29704 by 94.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 37\/5 (c) -3\/5 (d) -2\/19 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n + g, 2*g = n + 1367 - 1379. Calculate the remainder when 231 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y - 250. Let w be o(-18). Does -33 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6)*w*w**(-1\/3)*w)\/((((w*w\/(w**(-1)\/w))\/w)\/w)\/(w\/w**9)))**5 assuming w is positive.\nAnswer: w**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*o = -198*o + 124*o + 6908. Calculate the remainder when 7747 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 + 486 + (-23 - -1) - (-7 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**4 - 15*y**2 - y + 4*y**4 - 11 - 21*y**3 + 6*y**4. Let n(h) = 3*h**4 - 4*h**3 - 3*h**2 - 2. Let q(p) = -2*f(p) + 11*n(p). Solve q(x) = 0 for x.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**4 + b**3 + b**2 - b - 1. Let j(n) = 3*n**2 - 4*n**4 + 2*n**5 + 3*n - 2*n - 3*n**5 + n - n**3. Let t(u) = -2*j(u) + 2*v(u). Factor t(q).\nAnswer: 2*(q - 1)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66825*d + 1384*d**3 + 33409*d + 33415*d to g*d**3 + w*d + i*d**2 + m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1142, 2329, 3586, 4913, 6310, 7777?\n\"Answer: 35*m**2 + 1082*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 24 - 76. Suppose 11 = 3*j - t. What is the highest common divisor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013339817446 rounded to seven dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 44. Let k be b(-12). Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**3 + 12*w**2 + 4*w - 4. Let t(d) = -46*d**3 + 37*d**2 + 11*d - 11. Let f(m) = -11*i(m) + 4*t(m). Find the third derivative of f(q) wrt q.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10300 and 334000?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - w - 6 = -14, 6*t + 2*w = -182 + 198 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3796 - 31a?\nAnswer: 347b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5)*(-2)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**3 - 546*x**2 - 10800*x = 0?\nAnswer: -18, 0, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y + 39*y + 41*y - 112*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -163 + (28 - 2) - 29.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 - -3 - (-9 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnncnnfjccffqn. What is prob of sequence fcj?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*g = 6, -g + 8 = b + 3*g. Let n = 3 + b. Suppose 5*q - 4*z = -n*z + 76, 3*q - 47 = 2*z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20846 is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.3 + -10.2. Let i = 5.232 - l. What is i rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 91\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-155)\/(-20) + -7)*12. Differentiate -t*o**2 - 5 + 2*o**3 + 3*o**3 + o**2 + 0*o**3 with respect to o.\nAnswer: 15*o**2 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9311100 divided by 2327775.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 5. Let v be j(-8). Suppose 3*k = -v - 5. Let l be (2 + k)*1*-1. Which is the nearest to -0.2? (a) l (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-58)*470 - 70\/49*(-336)\/(-60)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 57905*f**4 + 57920*f**3 + 115820*f**2 = 0.\nAnswer: -11582, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)\/(2\/2). Let t = 28 - -7. Suppose -5*v - 2*y + t = -7*y, -2*y - 20 = -5*v. Solve v + n = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 6 - 2*l**2 - 25 + 3*l**2 to the form a + t*l**2 + h*l and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phk when three letters picked without replacement from dphddhdddddhddpddkd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckjccajc. What is prob of picking 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, i: 2}. Give prob of picking 3 y.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82211, -657683, -2219687, -5261489, -10276355, -17757551, -28198343?\n\"Answer: -82211*j**3 + 5*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298 + -295. Let c be (-6 + (-64)\/q)*-60. Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.2. Let u(k) = k**3 + 7*k**2 + 5*k - 3. Let o be u(-6). Let j be (-23 + 16 - -10) + (-29)\/9. What is the nearest to 2 in j, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6106 + -3?\nAnswer: 6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.23 - 2.9. What is y rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 - -1.9. Put n, -0.2, -1\/46 in decreasing order.\nAnswer: n, -1\/46, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -10955, -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -255, -174, -57, 108, 333?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + 41 - 196 - 17*k + 16*k as o*k + v and give v.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {p: 6, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let i be (y\/(-6) - -3)*12\/105. Let h = -55 + 331\/6. Which is the closest to h? (a) -3 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s**3 + 5*s**3)*(-147*s + 0*s**2 + 180*s + 3*s**2).\nAnswer: 6*s**5 + 66*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 413.\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80.7 + 82. Let d = 3.03 + -0.03. Which is the biggest value? (a) i (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 3*a - 10, -59 = -4*l - 9*a - 37 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:35 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13666, -109482, -369616, -876226, -1711470, -2957506?\n\"Answer: -13693*f**3 - f**2 + 38*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 793 and 12502932.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2612.3022 months?\nAnswer: 2.1769185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r + 10*r**4 - 6*r + (0 - 2 + 4)*(r**4 + 3*r**4 - 3*r**4) + 5*r**4 + r**4 - 4*r**4 + (r + 2*r**3 - r)*(3*r - 4*r + 2*r).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 20. Let g be u(-10). Which is greater: -11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 891615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhy when three letters picked without replacement from {l: 1, q: 1, s: 2, c: 1, y: 1, h: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o**3 + 3*o**3 - 4*o**3)*(-116*o + 12674 - 12674) - 2*o**4 + 2 - 2 to j*o**2 + m*o**4 + v + d*o**3 + i*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 4, 5, 1.3, -2\/5 in decreasing order.\nAnswer: 5, 4, 1.3, 0.6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3948*d**2 - 5138 wrt d.\nAnswer: 7896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*p = -5*l - 134*p + 49744, 3*p - 9942 = -l. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/9)\/y)\/(y\/(y**(4\/15)\/y)) assuming y is positive.\nAnswer: y**(-88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 427.4 and 1689.\nAnswer: 721878.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933000.328 less than 4?\nAnswer: -3932996.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2 - 6. Let j(x) = -8*x**2 - 1115 - 15*x**2 + 1117 + 25*x**2. Give -8*j(p) - 3*w(p).\nAnswer: 5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95\/3 - 32. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 + 30412?\nAnswer: 31014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1953 + -1815. Which is the second smallest value? (a) x (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 8*x**5\/5 + x**3\/3 - 2. Find the third derivative of g(n) wrt n.\nAnswer: 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-5)*70\/(-140)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 18 + 26. What is the remainder when z is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(6)\/((sqrt(98) - (sqrt(98)*1 + sqrt(98))) + sqrt(2)) - sqrt(27)\/(sqrt(900)*3)).\nAnswer: -sqrt(3)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*l + 245601 + 564345 = 0. Is l a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllgl. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 + f + 4. Let k be o(0). What is the second derivative of 0*y**4 - 6*y**4 + y**k - 3*y + 2*y**4 wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/380 and -23\/304.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459 divided by -49?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 1064400*u\/11 + 193528.\nAnswer: -2*(u - 2)*(u + 532202)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38529, -308121, -1039833, -2464725, -4813857?\n\"Answer: -38510*w**3 - 22*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482471?\nAnswer: 3, 127, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 5533413?\nAnswer: 5533414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 23*n**2 - n. Let p be m(2). Suppose -5*v = -3*d - 228 + 108, -3*v + 104 = -5*d. Calculate the highest common divisor of v and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*g**2*i**3 + 147*g**2*k - 4*g*i**3*k + i**3 wrt k.\nAnswer: 147*g**2 - 4*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u + u)*(-u**3 - 3 + 3) + 35482*u**4 - 72279*u**4 + 32510*u**4 - u + u**4 + u in the form a*u**3 + d*u + i + m*u**4 + h*u**2 and give m.\nAnswer: -4287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - (-5 + 150\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29522, 236359, 797772, 1891049, 3693478, 6382347, 10134944?\n\"Answer: 29548*p**3 + p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (-5 + sqrt(1200))**2).\nAnswer: -1200*sqrt(3) + 7326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*(-70)\/(-28). Let u = -56 - -18. Let r = 34 + u. What is the closest to f in 0.05, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 4167842?\nAnswer: 37510578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801210 is divided by 5682?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - (-441 + 451).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -888351 or -888414?\nAnswer: -888414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 41 - 27 - 21.\nAnswer: -2*r - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 12. Let p = -579765007 + 579764952.0000027. Let k = s + p. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 171080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 - 15) - -12 - 43\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24593.4669 + -370589.\nAnswer: -395182.4669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 4. Let m be g(-3). Let c(v) = -26*v + 421. Let s be c(16). Suppose -4*w + 3*w = -3. Solve m + w = -s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 386.\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3996825 - -362?\nAnswer: 362.3996825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29283 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*r**2 - 68*r**2 - 99*r**2 as u*r**2 + t*r + h and give u.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/9823 and 59\/335293?\nAnswer: 173346481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 860139.1 years?\nAnswer: 860.1391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**8\/336 - q**7\/210 + 7*q**2. Factor o(z).\nAnswer: z**4*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 1360.\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:45 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/60 - y**4\/12 - y**3\/3 - 20*y**2. What is the smallest common multiple of ((-3)\/(-2))\/((-1)\/(-6)) and m(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 471, 613, 753, 891?\n\"Answer: -q**2 + 145*q + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1604 - -1694.3. Which is the third biggest value? (a) l (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**4 - 8*h**4 + 24*h**4 - 3*h**2 - 66*h wrt h?\nAnswer: 300*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:57 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 49. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0*n - 2*n)*(-5*n**3 - 9*n**3 + 13*n**3).\nAnswer: 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*p - 97*p + 20. Let v(s) = -s**3 + 6*s**2 - 2*s - 6. Calculate v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2073 = -28*k - 4*k + 3161 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/392615 and 26\/9983.\nAnswer: 26305205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - (-4 - (1 + 0))) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/2)))**23 assuming z is positive.\nAnswer: z**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 - 315. Let k(i) = 7*i. Suppose -3*u + 8 = -13. Calculate the remainder when k(u) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p + 23. Let y(l) = 14*l - 12. Calculate -3*v(z) - 5*y(z).\nAnswer: 11*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27398 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 - 165 + 44 = -43*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0732302 rounded to three dps?\nAnswer: 6.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/256 and -97\/165184.\nAnswer: 660736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 93*d - 105. What is u(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = x + 29 - 32, -3*n - 8 = 5*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 361\/38 + 3\/2. Let v(q) = q**3 - 12*q**2 + 10*q + 16. Give v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose 0 = -x*d - d + 9. Differentiate g**d + 6*g + 2 - 6*g wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -993, -1043, -1127, -1245?\n\"Answer: -17*w**2 + w - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -129 - 135. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(1\/(9*-53)). Let k be 2\/3 - r\/54. Suppose -k - 27 = 7*q. Sort -2\/21, 4, q in ascending order.\nAnswer: q, -2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -1 + -2 - ((sqrt(125) + 0)**2 + 4) - ((sqrt(125)*-4)**2*-4 + 2).\nAnswer: 5*sqrt(5) + 7866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11b29 (base 12) to base 6\nAnswer: 303253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -56. Let j be (-4)\/(-6) - (99\/11 - 9). Which is the closest to j? (a) 0.4 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 5 + 14 - 13*u - 8*u - 41*u in the form x*u + j and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**2\/7 + 56457*v\/7 - 806949\/7.\nAnswer: 3*(v + 4719)*(4*v - 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1104 and 117\/3766.\nAnswer: 2078832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y - 0*y. Let g be y\/3*18\/6. Solve g*k = -7 - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) -1\/9 (d) -33\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111001110011 (base 2) to base 5.\nAnswer: -4321311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 - 6*q + 8. Determine m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177 a factor of 1877451237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**34*w**(-5\/16) assuming w is positive.\nAnswer: w**(539\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -40. Which is the third biggest value? (a) -0.1 (b) 15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720081, 1440231, 2160381, 2880531, 3600681, 4320831?\nAnswer: 5040981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/2317 (b) 0.239 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45166 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6255, -6536, -7005, -7656, -8483, -9480?\nAnswer: -10641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 48. Let t(c) = -3*c + 45. Let l(g) = 6*n(g) + 4*t(g). Is l(37) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/945 - 1127*c**6\/180 + 1270129*c**5\/90 - 1431435383*c**4\/108 - 3816*c**2. Suppose v(g) = 0. What is g?\nAnswer: 0, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446125 is divided by 206.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.045034.\nAnswer: 0.315238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -235, -51, 1\/4, -0.05, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -122*m**2. Let n be r(-6). Let o = n - -8291. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(((-4)\/140)\/((-44)\/385)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004396671 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*z**5 + h**3*z + 54*h**2*o - 36*o*z**3 + 3*z**2 wrt z?\nAnswer: 60*h**3*z**2 - 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 12*b**2 + 8*b - 6. List the prime factors of t(-13).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-9 - (-9 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 3. Let g(p) be the third derivative of p**5\/20 + 2*p**3\/3 - p**2. What is -4*g(c) - 5*j(c)?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:36 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*n - i**2*n**2*q + 3*i**2*q - 4*i*n**2 - 2*i*n*q + 3*i - n wrt i.\nAnswer: 6*i*n - 2*n**2*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*q - 1. Let w = 5 - q. Suppose 2*i - w*d = 0, 3*i - 45 = -3*d - 0*d. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6546*j**2 - 1252*j + 40096882 wrt j?\nAnswer: -13092*j - 1252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 12\/(-28) - (-610)\/35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -77, -3, 35 in increasing order.\nAnswer: -77, -3, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbszszsbsqzb. Give prob of picking 1 z and 1 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -3949 + 1489. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 197 = 2*o + 993, -4*z = 3*o - 2352. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-6)\/u)\/u*u)\/(u**(1\/2)*u))**(1\/5)\/((u*((u**(-1\/2)\/u)\/u*u)\/u)**(2\/9))**(1\/26) assuming u is positive.\nAnswer: u**(-329\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Let w(c) = 2*c**3 - 2*c**2 - 2. Give w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314286190 - -297?\nAnswer: 4314286487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719150839?\nAnswer: 11, 65377349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306, 305, 304, 303, 302?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i - 1. Let h be p(-1). Let v(t) = 2*t + 10. Let f be v(h). Suppose m + 5*y = -3, -5*m + 4*y + 17 + f = 0. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 230925*b + 446063*b - 215138*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126661153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 7, x: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n*s*u - 5*n*s - 240*n*u + 2*s - 61*u wrt n?\nAnswer: -2*s*u - 5*s - 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 11*j**2 - 11*j + 7. Calculate c(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbmk when four letters picked without replacement from mkkmb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95020154*m**2 + 4*m - 348806815?\nAnswer: -190040308*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + m = -1127, 0*k = 5*k + 2*m + 1411. Let t = k - -289. Which is the nearest to 1\/3? (a) -5 (b) t (c) 2\/9 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j - 112 = -52*j - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 389978 = 2*m, t + 584957 = 3*m + 2*t. Suppose 0 = h + 2*h + 4*w - m, -129988 = -2*h - 3*w. What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 - 36*w - 81. Let b be y(-5). Put 5, b, -2 in decreasing order.\nAnswer: 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 23 = 2*j, j - 1 + 3 = -2*g. Let l(m) = 3*m - 4. Let z be l(0). What is the second smallest value in z, -2, j, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 19*q = -2*q + 120. Sort q, 37, 17.\nAnswer: q, 17, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 64\/5 of a micrometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -28. Solve 4*n + d = 2*d + 14, 3*d = -x*n + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = -n, 4*w = -n - 97 + 94 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -972*c - 384951. What is a(-396)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-92)*(3\/(-15))\/((-2)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*k + 146 + 8746 = 0. What is the remainder when 2729 is divided by k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86651, 173312, 259957, 346586?\nAnswer: 433199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q. Let h be 21\/(-3)*12\/(-14). Let m be (-9)\/h + (-4)\/(-24)*3. Let x(p) = -p. What is m*l(j) + 8*x(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -761 + 245?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -15\/25889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(4\/17)*g**13 assuming g is positive.\nAnswer: g**(242\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24172 (base 12) to base 10\nAnswer: -48614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20, 5*z = -0*c - 2*c - 10. Let n be (3\/4)\/(72\/(-64)). What is the closest to n in z, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 72 - 39)*(-7630*g**4 + 441*g**5 + 7630*g**4).\nAnswer: 29547*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/50*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198311520*x**5 + 13680944*x**2 + x - 10 wrt x?\nAnswer: -11898691200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w + 27*w + 22*w)*(39 - 87 + 37 + 1 - 2 - 1 + (2 + 2 - 3)*(2 + 2 - 2) - 3 + 1 + 4 + 1 + 0 - 3).\nAnswer: -253*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 = -3*z, -3*h - 14*z = -10*z - 1. What is the derivative of 33*c + h + 77*c - 6 - 95 wrt c?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**3\/3 - 3*x**2 + 1. Let o(i) = 4*i**2 - 9*i - 7. Let b be o(-1). Calculate l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g + 5. Suppose -34 = -m - g. Suppose -18 = -2*t + m. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 97514642.3 from -0.3.\nAnswer: -97514642.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)*g**(4\/3))\/(((g\/g**(-6)*g)\/g)\/g*g*g**0))\/(((g*g\/g**0*g)\/(g\/(g*g**(2\/9))*g*g))\/(g**(2\/5)*g**5)) assuming g is positive.\nAnswer: g**(-559\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*z - 283*z + 46755 = 0 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/25)*b**(4\/3)\/b)**(4\/17) assuming b is positive.\nAnswer: b**(388\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -18. Let w be -1*j - (-5 + 7). Let l(k) = -k**2 - 7*k + 2. Let p(g) = -g + 1. Let h(n) = w*p(n) + 3*l(n). Find c such that h(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 2. Let y = -0.158 - 37.342. Let a = 38 + y. Put -5, j, a in decreasing order.\nAnswer: a, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95156 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5 + 13. Which is smaller: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8905885.6666 + -4\nAnswer: 8905881.6666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i + 52*i**2 - 4 - i - 10 - 51*i**2 - 16*i.\nAnswer: i**2 - 61*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 594, 2673, 6198, 11169?\n\"Answer: 723*d**2 - 90*d - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 53 = 7*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11382556?\nAnswer: 2, 2845639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - 0.59. Let s = k - -0.69. Let g = s - -0.06. Which is the smallest value? (a) g (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98\/11 or -9?\nAnswer: -98\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - (-5)\/2. What is the units digit of f\/(-9) + (-120)\/(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 28*i**2 - 35*i + 66 - 75 + i**3 - 20*i**2. Is o(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0186461ml in litres?\nAnswer: 0.0000186461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5962698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 47, 2620, -3, 5 in ascending order.\nAnswer: -17, -3, 5, 47, 2620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -28981*f - 144957. Calculate b(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 397220000 to the nearest 1000000.\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-24))**11*(s*s**(-2))**(1\/10) assuming s is positive.\nAnswer: s**(-2641\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 187, 189, 193, 199, 207, 217?\n\"Answer: w**2 - w + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296235612?\nAnswer: 2, 3, 19, 433093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/825 and -52\/3025.\nAnswer: 9075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 - 14*h + 588.\nAnswer: -2*(h - 7)*(5*h + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6*a. Let o be v(-6). Solve h = -o*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 871 + 2457. Calculate the greatest common divisor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -49*u**2. Let f = 68 + -47. Let q(w) = -15*w**2 + 21*w - 21. Let v(l) = 3*l**2 - 4*l + 4. Let b(c) = f*v(c) + 4*q(c). Give s(b(d)).\nAnswer: -441*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, -47509, -38, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1*(-51)\/(-119)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -2, 0, 19, 7, 5 in decreasing order.\nAnswer: 174, 19, 7, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 8. Let v be p(-6). Let u(r) = 5*r - 3*r**v - 5*r + 6*r**2. Let w(g) = -2*g**2. Give w(u(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - l = -4*l - 70, 0 = -2*f + 5*l + 66. What is the remainder when 72 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-26)\/20)\/1 + -1)\/1 and 15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 5*y + 49, g - y + 480212 - 480214 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1780\/9 + -444991\/2250. Let u = -487\/3250 - c. What is the second biggest value in u, 2, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, m: 1, j: 1, o: 3, w: 1}. Give prob of sequence jo.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let h be v(-1). Suppose -2*j + j = h. Suppose c = -j*c. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/6 + 47*j**3\/6 - 715*j**2\/6 + 1183*j\/2.\nAnswer: -j*(j - 21)*(j - 13)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-27))\/((-8)\/(-72)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 184*m**3. Determine s(1).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 11 + 39. Suppose 3*q + 2 + o = 0. Is 14 a factor of (10\/2 + q)*43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-1360)\/2856?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6530001669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) + -2*sqrt(1694) + (-5*sqrt(98))\/sqrt(7))\/(2*sqrt(242)*-1 + 5*2*sqrt(242)).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 6395096?\nAnswer: 44765672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111.094 - -65.8?\nAnswer: -1045.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 3. Let n be b*7*4 + 0. Is (n\/35)\/(2\/35) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2, 4, -13, -146, 3 in increasing order.\nAnswer: -146, -71, -13, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -2, 2472\/17, 2\/15, 4 in decreasing order.\nAnswer: 2472\/17, 4, 2\/15, -5\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -65. Let m(c) = c**3 - 2*c**2 + 4*c - 5. Let k be m(2). Solve -k*p - 12 = -w*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + i**2 + 3*i**4 - 5 - 63*i**3 + 64*i**3 to d + c*i**3 + n*i**2 + r*i**4 + g*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**4*v + 262*j**3*v**3 + 3*j*v - 436*v**3 - v**2 + 1 wrt j?\nAnswer: 96*j**2*v + 1572*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4210 is divided by 105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l - 11078*l**3 + 38*l + 37*l - 109*l + 11081*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1915566 - -1915568. Let -p**s + 9\/2 - 17\/2*p = 0. Calculate p.\nAnswer: -9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123321201 - -1?\nAnswer: -123321200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -4 - (-9 + 61) - (-6 + -2) - 2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -49*o + 9. Let b(w) = -31*w. Determine -2*b(a) + s(a).\nAnswer: 13*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 8. Let v be x(-7). Suppose 327 + 23 = 35*o. Sort -3, o, v.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.05 + -0.05. Let o = 2 + -3. What is the nearest to o in 2\/21, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 0\/1)\/((-286)\/(-715)). Let p be ((-12)\/(-10))\/((-2)\/10). Let w(o) = 2*o**3 - 2*o**2 - 4. Let t(y) = 2*y**3 - 2*y**2 - 3. Calculate p*t(s) + z*w(s).\nAnswer: -2*s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -15, -4*h + h = -4*p + 770. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 47*q**2 + 37*q**2 + 40*q**2 - 155*q**2 + 32*q**2 + 1. Let s be (-86)\/11 - 4\/22. Let n = s + 4. Calculate b(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 9*t - 1. Let w(v) = -2*v**2 - 9*v - 2. Determine 3*d(s) - 2*w(s).\nAnswer: -2*s**2 - 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 0*s + 5*s - 32, -3*c - s = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.35 and -28688?\nAnswer: -38728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -4 (c) 23 (d) 5\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*v - 10, 17*v - 54*o + 1338 + 6 = 19*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725594 and 8052772?\nAnswer: 24158316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -216672*s. Let n(b) = 3111*b**2. Determine n(c(z)).\nAnswer: 146051356621824*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a + -15?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from ssyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447762 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -1.3. Let x = 25112 - 25124.7. What is the third smallest value in 1, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 311287241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**7\/210 + f**6\/90 + f**3\/6 - 3*f. Let w(s) be the second derivative of z(s). What is the third derivative of w(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 2371810.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*c**4 - c**2*j**2 - 311*j**2 - 1 with respect to c.\nAnswer: -664*c**3 - 2*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/26 and 1\/(-2)*123\/(-12)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2761986426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(32\/3)*u)**9\/((u*u*u*u\/u**(-1\/7))\/u**(1\/4)))**(-3\/11) assuming u is positive.\nAnswer: u**(-8493\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.304 (b) 3 (c) 0.3 (d) -4 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 120. Suppose -3*s - 5*t + 59 = v, -s + 4*t = -2*s + 29. Suppose -10*u + s*u = 132. Calculate the remainder when u is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 5*y + 88, 0 = -5*y. Calculate the common denominator of j and -1 - (0 - 116\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*z**2 + 12 - 69*z**2 + 26*z**2 + 9 + 29 as i*z + b*z**2 + m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66863.9 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3021790982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1616, -1719, -1820, -1919, -2016?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/((-1608)\/30))\/10.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 53*m - 54*m - c, 4*m = c - 4 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -11)*(59 + -60). What is the nearest to m in -3, -0.08, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109174775, -218349537, -327524289, -436699025, -545873739?\nAnswer: -655048425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 8 = 0. Suppose -5 = -2*v + 11. Solve 0 = -f*t - 2*t + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o + 32*o - 53*o**2 - 57*o.\nAnswer: -53*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01233*-5.\nAnswer: -0.06165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*l - 5470 = 6266 - 2856 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9848204 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79366971 and 181488.\nAnswer: 11343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 295455294 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.42 - -13.42. Which is greater: d or 1.18?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -62b70?\nAnswer: 62b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241567 divided by -1241567?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i, -l - 4*i = -7*i - 10. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1382 - 1416) + (1 - -2) + 79?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49913843 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -5822, -4, 4, 0, -2 in ascending order.\nAnswer: -5822, -4, -2, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1610*x**2 - 173*x + 4. Let v(w) = 12*w**2 + w + 2. Let u(h) = q(h) - 2*v(h). What is the second derivative of u(d) wrt d?\nAnswer: 3172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddnd. Give prob of sequence dd.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-4\/5)\/u)\/u**1)\/((u**(-4)\/u)\/((u*(u*u**(-1\/5))\/u)\/u)))**(-1\/19) assuming u is positive.\nAnswer: u**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5891, 5891, 5883, 5861, 5819, 5751?\nAnswer: 5651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 - 692*m**3 - 39318*m**2 - 464912*m - 778120 = 0.\nAnswer: -35, -14, -2, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16198375 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -100, -50 in decreasing order.\nAnswer: 0, -50, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01180877 - 0.2?\nAnswer: -0.18819123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfzd when four letters picked without replacement from ftdzfdcdtcddvcdctdtc?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022012002000 (base 3) in base 8?\nAnswer: 2510574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bftxttztftbxxtxxtxxb. What is prob of sequence fz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2171187834 rounded to three decimal places?\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 622?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/((-8)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 + 6. Let t be d(-5). Suppose t*m + 60 = 10*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a. Let p(k) = k - 3*k + 10*k - 2*k. Let z(g) = 6*p(g) + 5*q(g). Give z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - 0) - (0 - -6) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607606627 to the power of 1\/2, to the nearest integer?\nAnswer: 40095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let k = -8 + 3. Sort k, 2, s.\nAnswer: k, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -68) + -35 + 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 12*c**2 + 26*c - 12. Let s be u(-8). Suppose -5*d + 4*k + 140 + s = 0, 5*d - k = 164. Solve -3*r + 4*h - d = 0, -3*h - 9 = 5*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -8 - -26) + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2 + 660)\/2. Let q = -254 + r. What is the highest common factor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:30 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(1653\/266)*18\/(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = -4*d, 211*i + 2*d = 215*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05893 - 2.05893. Which is the closest to 0? (a) -0.4 (b) l (c) -1 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 - -237. Solve 7 = 4*i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 10 = u, 0 = -14*m - 9*m + 19*m + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 86824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1022?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 - -123. Let l = 376\/573 - -2\/191. Which is the nearest to -0.1? (a) v (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -21, -1, 4\/3 in ascending order.\nAnswer: -21, -1, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 16) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/52 - 208\/1352. Which is the closest to 1.8? (a) -5 (b) -5\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiuiuoiu. Give prob of sequence io.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.71 - -0.71. What is the third biggest value in g, 2, 17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -436*g + 1. Let p = 13 - 10. Let f be (-3 + p - 1)\/1. Is h(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*n - 3 = 12, -2*d - 5*n = 35. Which is greater: -11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-160)\/(-25960))\/(285\/(-209)))\/((-6)\/9).\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**2 + 3*g - 2. Let v be c(-2). What are the prime factors of 0 + 5910\/14 + 4\/v?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354990179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 3*n**2 - 3*n - 5. Let r be x(4). Let s be (1250\/r)\/(1\/(-248)). What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 158*g**2 - 52*g**2 - 118*g**2 + 16*g - 3*g. Let x(v) = -v**2. What is b(x(n))?\nAnswer: -12*n**4 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 1:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 57 + 12 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1176815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) + sqrt(99))**2 + 5 + (sqrt(176))**2 + 3.\nAnswer: sqrt(11) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3341\/(-7) + -6*5\/(-105). Let y = -474 - p. Suppose 0*t + 4\/9*t**y + 2\/3*t**4 + 2\/9*t**5 + 0 + 0*t**2 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(228) + (sqrt(228)*-3 + sqrt(228))*3 + sqrt(228))\/(-6*-2*sqrt(12)).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19*f**2 + 2*f + 55. Let y(n) = 13*n**2 + n + 56. Give 2*p(u) - 3*y(u).\nAnswer: -u**2 + u - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/40 or 22627?\nAnswer: 22627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:03 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -113575 to the nearest 1000.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d - 2*s + 224 = -32*d, 115 = d + 4*s. Solve d*r - 105*r + 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-35)*-7*3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 16\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5*m**3\/3 - 1. Let s(c) be the second derivative of 8*c + 0*c**2 + 0 - 1\/3*c**3. What is f(s(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -946 - -945.954. Round d to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/42 - 81\/14. Let m = 35\/12 + -13\/4. Let r be 1\/(-4) - 6\/8. Which is the biggest value? (a) m (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*((sqrt(76) - (sqrt(76) + 0 + sqrt(76))) + -1 + (sqrt(76) - (sqrt(76) + (0 + sqrt(76) - sqrt(76) - sqrt(76))))*-6 + 5 + -5)**2.\nAnswer: -55875 - 420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000947 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6*d + 10. Let c be (-10)\/(-1)*2\/4. Let p be t(c). Let z(l) = -2*l**2 - p*l**2 + 6*l**2. Let u(v) = 7*v**2. Determine z(u(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*u + 4*f - 193432 = -212*u, 0 = u + 3*f - 64484. What is the ten thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01814 to 4 decimal places.\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88337493899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 17 = w, 5*w + 53 = -9*y + 26*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -11. Let b = -2 - -2. Let t = -0.1 - b. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 0.2. Let w = 2.783 + -0.783. What is the closest to w in o, -0.3, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 14\/98.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 3\/5 (c) -0.1 (d) 0.016 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/16 + 5\/16. Suppose 3*z + 5 = 8*z. Is o greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, s: 6}. Give prob of sequence srs.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y = 5*s - 9*s - 972, -4*y = -s - 99 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118538011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.001076 and 390.\nAnswer: 390.001076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19.2 times -0.2\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence non when three letters picked without replacement from nncncccnoono?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 44\/3*v**3 + 4*v + 81\/10*v**5 - 15*v**4 - 9\/5*v**6 - 8*v**2 + 0. Let m(s) = 0. What is s?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(153)*-2*-3 - ((-1 + -3*sqrt(153))**2 - (2 + sqrt(153)*1)**2))*-6.\nAnswer: -72*sqrt(17) + 7338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 48*i**2 - 4*i + 4. Let g(x) = 50*x**2 - 6*x + 5. Determine 3*g(s) - 4*r(s).\nAnswer: -42*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6) - (390\/(-36) - -7). Let n(c) = 2*c**2 - 10*c + 10. Let q be n(11). Suppose -q = -2*g - 0*j + y*j, 62 = g - 5*j. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -4\/5, -0.0056, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 8*s + 9*s - 41 + 2*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1304 by 163.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41009, -82637, -124265, -165893, -207521, -249149?\nAnswer: -290777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20090 + 2995 = 27*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Suppose -t*q = q - 30. Let i(s) = -6 + 2*s**2 + q. Let h(r) = 10*r**2. What is h(i(a))?\nAnswer: 40*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*x + 100 - 57 - 4 to k*x + l and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2. Let u(m) = -16*m - 54. Determine t(u(g)).\nAnswer: -1024*g**2 - 6912*g - 11664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10847608?\nAnswer: 2, 197, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 - 289. Let g be (238\/35 - f)\/(6\/(-20)). Let i(j) = 5*j - 9. Let a(l) = l - 1. Determine g*a(t) + i(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 1093036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5 - 10. Let o = -0.53 + 0.86. Let g = -0.03 + o. What is the nearest to 0.1 in b, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2482\/12 - 3\/(-18). Let l = u - 128. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -69*k - 2. Let q(c) = 67*c + 2. Determine -5*q(b) - 6*y(b).\nAnswer: 79*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3036794, 3036787, 3036784, 3036791, 3036814, 3036859, 3036932, 3037039?\nAnswer: 3037186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 - 371. Let q = -0.55 + 0.6. Let v = q - -0.15. Which is the nearest to v? (a) 0.2 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5761509 and 87009?\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 4*x, x + 1 = -0*s + s. Let f be (1 - 45\/50)\/(s\/8). Solve -2\/15*w**3 + f*w**2 + 16\/15 - 8\/5*w = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqoo when four letters picked without replacement from {q: 2, t: 2, o: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028217658.\nAnswer: 2, 13, 39546833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 5*d**2 - 9*d**2 + 21*d**3.\nAnswer: 21*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17979?\nAnswer: 3, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.593075023 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233028.6 hours to days.\nAnswer: 9709.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 506570*s**2 - 506565*s = 0. What is s?\nAnswer: -101313, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (7 - (0 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.05999703 to 4 dps.\nAnswer: 8.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - (-2 - (-1 + -1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -4*2\/(-3)*522\/12 and 261?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p - 17 + 4295*p**4 - 2 - 4294*p**4 + 3*p as g*p**2 + u*p**3 + h + v*p + i*p**4 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1208039*m**6 + 13*m**5 + 31207889*m**2 + 3*m?\nAnswer: -144964680*m**3 + 780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23b + da?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 + 6 - 3*g**2 - 3 - 2*g - 1. Let c(b) = -2*b**2 - 3 - 2*b**2 + b - 4*b. Let r(k) = 4*c(k) - 6*h(k). Let v(z) = -3*z. Calculate v(r(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -18745.1 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by -3?\nAnswer: 500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4585)\/15)\/(5\/(-15)). Suppose o + 807 = 4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1008\/(-176))\/(-21)*(5\/5)\/(-1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14917, -15106, -15423, -15868, -16441, -17142, -17971?\nAnswer: -18928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-5)\/2. Let q(r) = -2 + 0 + k - 2 + 2*r**2. Determine q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 214765963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/2 + 28480*o**4 - 405526715*o**3 - 811366730*o**2 + 5678399375*o\/2 - 1622334722 = 0. Calculate o.\nAnswer: -4, 1, 28481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/5 - 4141*f**2\/5 - 849472*f + 16440320 = 0.\nAnswer: -2080, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.022, 0.95, 0, -459.\nAnswer: -459, -0.3, 0, 0.022, 0.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.715 - -46.315. Sort k, 4, -2.39 in descending order.\nAnswer: 4, k, -2.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81\/12 - (-20)\/16. Suppose 0*m - v = -4*m. Factor 9*a**2 + 15*a + 15*a**3 - 12*a + 9*a + 3*a**4 + 15*a**m.\nAnswer: 3*a*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 + z + 4. Let c be n(-2). Let r(k) = -2*k**c - 5*k**3 + 2*k**3 - 2*k**3 + 4*k**3 - k + 2. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3*d - 4. Calculate x(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 10. Suppose 3*p + z*p - 6 = 0. Suppose c = -4*g + p, 0 = -2*c - 0*g + 3*g + 15. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 62468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708280382?\nAnswer: 2, 3, 857, 332221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886910?\nAnswer: 2, 3, 5, 7, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x. Let u(h) = -81*h**2. Determine u(p(q)).\nAnswer: -18225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*h = o + 32, 2 = -3*o + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1365*y**2 - 675. Let h(w) = -2726*w**2 + 1350. Let p(l) = -3*h(l) - 5*m(l). What is the first derivative of p(z) wrt z?\nAnswer: 2706*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1214302?\nAnswer: 1214243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d + 38. Let y(k) = 35*k**2 - 36*k. What is g(y(t))?\nAnswer: -490*t**2 + 504*t + 38","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -121*m - 2. Let a be r(-2). What is the greatest common divisor of a and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:31 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42077141 to the nearest integer?\nAnswer: 6487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n - 2*n + 6*n)*(2 + 1 - 2) - 3*n + 2*n + 2*n - 4*n + n + 4*n - n - 3*n + 6*n)*(-5*n**2 + 4*n**2 + 3*n**2) + 0*n**3 + 9*n**3 + 0*n**3.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2203, -4404, -6605, -8806, -11007?\n\"Answer: -2201*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 796289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1 + -1*18). Solve 0 = -3*y + 5*g + p - 8, 2*y + 3*g = 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 1 - 1)*(-11 + 10 + 16) + (-9 - 26 - 3)*(2*j - 6*j + 2*j) as c*j + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose -i - 3*r = 11, 0 = -2*i - l*i - r + 1. Let t(w) = w - w**2 - w - 2*w - i. Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8843 * 2.\nAnswer: 17686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 70*u**2 - 1227*u - 698. Calculate m(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 18. Let r(i) = i + 2. What is the remainder when z is divided by r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -49*g**2 + 56*g + 12. Let x(j) = -23*j**2 + 27*j + 6. Give 4*f(v) - 9*x(v).\nAnswer: 11*v**2 - 19*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 90 = -20. Calculate the common denominator of 7\/(a\/4) - 0 and (2\/(-15))\/((-4)\/51).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -587 + -35?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1514723\/107 - -14156. Let d = -2911\/603 + 48\/67. What is the common denominator of v and d?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8039, 16055, 24071, 32087, 40103, 48119?\nAnswer: 56135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22400 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g. Let r(y) = 50*y**2 - 25*y. Let q(l) = -l**2 + l. Let z(a) = 125*q(a) + 5*r(a). Give z(m(b)).\nAnswer: 2000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/22)*l)\/l)**(1\/19)\/(l**(-5)\/l**(3\/17)) assuming l is positive.\nAnswer: l**(36733\/7106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.659 in -2\/15, 0.2, 6, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112.45 - 118. Let j = 5 + k. What is j rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 2.\nAnswer: 205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -7*h**2\/2 + 5*h - 1. Let x = -2 + -3. Let y(k) = 1107 + 20*k + 1109 - 2230. What is x*y(q) - 14*g(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + -809?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 54) + (9 - (34 + -15 + 0 - 3)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((-1)\/(-3)*117\/(-39) - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009026475 rounded to 5 decimal places?\nAnswer: 0.00903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -111640?\nAnswer: 2456080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 2647?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 9*a - 7 + 21, -561*a + 566*a - 4*b + 11 = -7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:57 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9*y**5 + 687*y**4 + 2607*y**3 + 2637*y**2 + 246*y - 480 = 0.\nAnswer: -2, -1, 1\/3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512964604.\nAnswer: 2, 128241151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.04739 + -4.757\nAnswer: -4.70961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/61 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -903.\nAnswer: -40\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j. Let m be 0 - (-3 - 1)*1. Solve -m*t + 6 - 14 = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67272027 divided by 1180211?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66909 = -2195*f - 7644 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10\/(u\/u**(-3)))\/(u*u*u**(-11)*u*u**(-5\/3)*u) assuming u is positive.\nAnswer: u**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 477594 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*q**3 - 2*q**2*y**2 + q*y**2 + 45*y**2 + 1 wrt q.\nAnswer: 549*q**2 - 4*q*y**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -42452?\nAnswer: -42452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111061606 rounded to 7 dps?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 12, -1\/57, 0.009 in decreasing order.\nAnswer: 12, 0.009, -1\/57, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 - 18 - (-8)\/(-14). Do p and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 - 59 - 85)*(-10 + 0 + 1)*(-5*i**2 + 3*i**2 + 0*i**2).\nAnswer: -6282*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7238 - -12218. What is y rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3 = 3*z, 3*w - 3 = 995*z - 992*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**4 + 10*s. Let j(n) = n**4 - n. Let d(b) = a(b) + j(b). Find the second derivative of d(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8.3 (b) 1 (c) -2 (d) 0 (e) 4 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 267 and 258 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/(14\/(-21)). Is l > 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1411*c**6\/120 + 17*c**5\/12 - 150*c**2. What is the third derivative of i(t) wrt t?\nAnswer: -8466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/2 - 13*n. Give y(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+359.1833\nAnswer: 359.2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210 + 365. Let r = d + -155.00296. Round r to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 572 (c) -12 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 9*i - 15. Let j be n(11). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4116 and -11.\nAnswer: 45276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 0.01, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*((4*(sqrt(8) + 1) - -3*(6*(0 + sqrt(2)) - sqrt(2)))*2)**2.\nAnswer: 736*sqrt(2) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 5:24 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 44.8. Let l = -2.05 + 0.05. Let b = l + 1.6. What is the nearest to -2\/3 in b, 1\/4, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 plus 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 16 = -2*b, 3*z - 8*b = 11 - 60 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42271 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3960\/3168*((-6)\/(-6))\/((-380)\/(-48))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55\/4 - -277\/20. Suppose -11 = 2*x - 9. Is x > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41)\/13 + 26\/169 + -15. What is the smallest common multiple of 21 + z\/(18\/3) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5310 or -5318?\nAnswer: -5318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5 + 9. Suppose z*k = -0*k + 5*g + 27, k - 4*g = 15. Suppose k*x - 6 = 2*q, -x - 6*q + 2*q = -16. Solve 0*m - m = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 10. Let g be (-15)\/(-10)*(1 - q). Suppose -g*r - 4500000 = 2*r. What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -342\/7, 4, 2\/11, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -3.1. Let f = 97\/273 + -2\/91. Suppose 0 = -2328*y + 3285*y + 4785. Which is the fourth biggest value? (a) z (b) -0.1 (c) f (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012 and 1656.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.208284 - -17831?\nAnswer: 17831.208284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/99? (a) 0.5 (b) -32 (c) 2865 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 3. Let f be t(-3). Let b(j) = 3*j**2 + 3*j - 6*j + j**3 - j**2 - j. Let i be b(f). Solve i*o - 8 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.276248km?\nAnswer: 276248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -51*y**2 - 153*y + 9. Calculate d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/17*(-8024)\/38704?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296 - 103. Let o = r + -190. Calculate the remainder when 1 + 0 + 5*2 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 6*-1*sqrt(70) + sqrt(70))\/sqrt(10) + 2)**2 + ((sqrt(49) - (sqrt(5929) + -2*sqrt(5929)))\/((sqrt(28)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: -16*sqrt(7) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 - 18\/(-7). Let v = -3 - -4. Let g = 1 - v. Solve g*u - j*u = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-5))\/(3\/(-15)) - -5. Let u(a) = -47*a + 34. Let g(o) = 95*o - 70. Let c(t) = -2*g(t) - 5*u(t). Let m be c(q). What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/(9\/(-36)). Let w(y) = -24*y - 230. Let s be w(n). Solve -2*x = 5*u - s, 10 = -u - 3*u + 2*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 119*r. Let t(c) be the first derivative of 3*c**2\/2 - 183. What is d(t(u))?\nAnswer: 357*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*p + 44, 34*p - 36*p = -3*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 47036 = -46940 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14965 greater than -2\/365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20014.233 to the nearest one hundred.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/4)\/u*u**(1\/3)*u*(u\/(u\/u**(2\/15)))**(-11\/2) assuming u is positive.\nAnswer: u**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + 4.07. Let b = q + -0.17000028. Round b to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -170340 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -12580518 + 12581207 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1423323 + -637190. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n + 8. Let s(u) = 4*u**2 + 7*u - 33. Let v(k) = -9*o(k) - 2*s(k). Let d be v(-6). Solve -f = -d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161168496.\nAnswer: 2, 3, 3357677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2599 = x + 920, -x + 881 = s. What is the highest common factor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:20 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -86, -116?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 196 - 14. Let i = x - 28. Let w = 3 - i. Solve k + 4*k + 25 = -w*v, 5*v + 10 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14071961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(192)*3 - (sqrt(243)*2 + 5)**2.\nAnswer: -997 - 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, 104, 468, 1204, 2438?\n\"Answer: 21*b**3 - 3*b**2 - 20*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 13*r + 31*r + 3)*(1319*r + 42*r**2 - 1319*r).\nAnswer: 1848*r**3 - 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289826379 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -31. Suppose -3*t = -t - k. Factor -1\/4*y**t + 0*y + 1\/4.\nAnswer: -(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.098 times 7.3\nAnswer: -0.7154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -808 + 808. Suppose v = n - x*n + 2, 18 = 5*v + 3*n. Solve -2*c - 5 = 2*d + 7, 5*c + 20 = -v*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*x + 0*x + 9735 = 0, 0 = -4*u - 3*x + 7781. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + (152 - 179 - (-22 + -2)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/204)\/(10*9\/(-36))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2948)\/10 + (-6)\/(-2). Let i = n + 293. Let 2\/5 + 6\/5*o**2 - i*o - 2\/5*o**3 = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141 - (-261547)\/1859)\/(100\/26)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3299, -6598, -9899, -13202?\n\"Answer: -x**2 - 3296*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 67257?\nAnswer: -2\/67257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*q - 99 + 42 + 20 + 13.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211738633?\nAnswer: 7459, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 3) + (1 + -2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in -1, -569, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 356 - 370. Solve 9*q - 5*q - 3*u = l, -3*q = -2*u - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159792370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9796241\/183 + 53531. Let c = t - -7558\/17385. Let v = c - -136\/855. Is -4 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/20 - 9\/4. Suppose b = -43*n + 46*n - 126. What is the remainder when 74 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4580*d - 8*d**2 + 4580*d + 21 wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:27 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - ((-6)\/10 - 53105\/(-2375)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4005697, 8011394, 12017091, 16022788, 20028485?\n\"Answer: 4005697*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*n**4 - 9020*n**3 - 340395?\nAnswer: 268*n**3 - 27060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 81, 106, 131?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*x**4 - 5*x**2 + 848*x + 431180 with respect to x.\nAnswer: 92*x**3 - 10*x + 848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four ninths of a day?\nAnswer: 10240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1 + 10\/6). Let z = 17 - k. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-2)\/(-4))\/(1 - (-180)\/(-168)). Solve -d*g - 3 = 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 30 + 158. Suppose a = o + 9. Calculate the remainder when ((71 - (-8723)\/(-122))*152\/(-7))\/((-2)\/(-21)) is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -297\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128204672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 78*a - 566 + 73. Solve 0 = -69*f + 70*f + a for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-5)\/((-5)\/(-2)). Suppose 8 - 10 = q. Let f be q\/(-4)*34\/51. What is the second biggest value in 2\/5, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c - 1248. Suppose n = -12*n + c. Calculate the highest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*j - 855 = 432, 12 = -4*j. Suppose 873*w + 9959 = 896*w. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 82. Let x(b) = -3*b**2 + 6*b + 11 + 4*b**2 + 0*b**2. Let r be x(a). Solve r + 7 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441085117?\nAnswer: 11, 40098647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 4322432?\nAnswer: 4322434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 73 + 7. Suppose 210*z = 208*z + w. Let t(p) = p**3 - 4*p**2 - 4*p - 4. Determine t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-8 - -2). Let j be (1 - -2) + (y - -3). Solve 2*v + 15 = -j*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 354466, 354483, 354510, 354547, 354594, 354651?\n\"Answer: 5*v**2 + 2*v + 354459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + -5)) + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 36*t**2 + 306*t - 5658. What is l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -2. Let h = -8 + 12. Let w be (2\/h)\/(3\/(-2)). What is the smallest value in m, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:13 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -22, -1.3, -17\/7, -4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-89)\/51*4. Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/120 - 35*j**5\/4 - 23229*j**4\/8 - 68121*j**3\/2 + 50*j**2 + 2*j + 21. Factor d(c).\nAnswer: -(c + 3)*(c + 261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 54 - 18 = 3*f, 2*f = o + 18. Let k be (0 + 0)\/3 + (-8)\/(-2). Sort 0, k, 3, o.\nAnswer: o, 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 307096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75530.54 less than 8?\nAnswer: -75522.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 230591 and 0.02.\nAnswer: 230591.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -3807363.\nAnswer: -3807366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q**5 + 1696*q**4 + 13290*q**3 - 32328*q**2 - 293112*q = 0. What is q?\nAnswer: -6, 0, 23\/5, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 2 - a - 21.\nAnswer: -a - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40939824?\nAnswer: 2, 3, 852913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*r - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2236 and 21640132.\nAnswer: 21642368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k*k**(-3)*k*k**(-2\/9)*((k*k*k\/(k*k*k**(-13)\/k))\/k)\/k)**14 assuming k is positive.\nAnswer: k**(1442\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33392.099 + -34.099. Let x = -33358.069985 + i. Let m = -0.07 - x. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m + 7. Let y = 8 - 3. Suppose -t + 4*k + 0 = 4, y = -4*t + 5*k. What is the units digit of g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfskkpzskzzpszfzpz. What is prob of sequence kpf?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 324293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let b(l) = 11*l**2 - 6479*l. Calculate f(b(u)).\nAnswer: 11*u**2 - 6479*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00114149 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*1)**2 + sqrt(2))*-5 + 1.\nAnswer: -9 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48774, 97474, 146174, 194874?\n\"Answer: 48700*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -738 - -755. Calculate the least common multiple of 11 and w.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8061067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhrhhhrhrhhrhhrhh. What is prob of picking 3 r?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 11*r**2 + r + 3. Let b be k(10). Let d = -34 - b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*d = -168, -c - 28 = d + d. What is the common denominator of 8\/(-150)*(-37 - c) and -35\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 11:14 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 198821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106 (base 8) in base 5?\nAnswer: -13334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Suppose i = 4*l - 12, 2*i - w*l + 39 = -l. What are the prime factors of -4*2\/(i\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 2085?\nAnswer: 52125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-12.93.\nAnswer: -155.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - 2*m)*(3*m - 9*m - 4*m) + 3*m**2 + 0*m**2 - 4*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Suppose -8*l + 3*l = -10. Let d(u) = u**3 + 1. Let h be d(1). Let t(b) = -2*b**l - h*b**2 + 5*b**2. Determine z(t(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6*c - 5487 = -9*c, 2*c + 5462 = -3*f. Calculate the remainder when ((f\/(-18))\/(-1))\/(4\/(-6)) is divided by 62.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 5. Let v be d(5). Suppose v*i + 4*i = 276. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6614 - -6613. Sort -5, u, 4, 2, 1 in increasing order.\nAnswer: -5, u, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530235 (base 6) in base 7?\nAnswer: 1644026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 355 - 33 = 54 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(2178\/264)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-4 + sqrt(176))*1 - (-5 + 4 + sqrt(88)\/sqrt(8)))**2.\nAnswer: -26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.256 and -24856.122383.\nAnswer: -24857.378383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 36. Solve -k = 3*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141535824 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 - ((-3)\/10 + 3\/15)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16884*v - 67578. Give z(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-16))\/((-1)\/2). Let c = -6 - -9. Let l be x - (200\/34 - c). What is the second smallest value in -3, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 378, 0.35, 3 in decreasing order.\nAnswer: 378, 3, 0.35, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 + 58*h**2 - 4*h**2 - 87*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134043343 - 24?\nAnswer: -134043422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67018866.\nAnswer: 2, 3, 11169811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 867733 in descending order.\nAnswer: 867733, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2104\/(-36) + 11696\/153 + -77\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-85)\/5*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -89\/10. Let c(j) be the third derivative of 1\/6*j**4 + d*j**5 + 0*j + 1\/6*j**3 + 1\/210*j**7 + 0 - 3*j**2 + 1\/30*j**6. Solve c(t) = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsqqq. Give prob of picking 2 q and 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, p: 5}. Give prob of picking 2 p and 1 b.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 4 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5168.8880023 + 5133.888. Let o = 50 + -15. Let i = t + o. What is i rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -49*q**2 - 781*q - 698. What is m(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:57 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 108. Suppose -4*c = -2*c - 4*z - 56, 0 = p*c - 3*z - 60. What is the highest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 577*h**4 + 228 wrt h?\nAnswer: 2308*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**3 - 58*w**2 - 20*w - 2 wrt w.\nAnswer: 30*w - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(1900))*-2 + -1*sqrt(1900) + -5)**2.\nAnswer: 1680*sqrt(19) + 68596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-2288)\/(-330))\/26)\/((-4)\/20)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 10*m**3 + 15*m**3 + 2*m**3.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3238, 3199, 3160, 3121, 3082, 3043?\nAnswer: 3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4153002 and 11102.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 11*w**3\/3 - 9*w**2\/2 + 31*w - 14. What is the units digit of i(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3141 is divided by 241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61094 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -938.\nAnswer: 4\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100149 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - -5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p + 4. Suppose c + 36 = 3*c + 5*j, j = 4. Let l be r(c). Let n = l + 106. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - -1) + (22 - 122) + 37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -24. Suppose 0*b - f*b = -124. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1058309*0.046\nAnswer: 48682.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10429847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25295976, 50591957, 75887936, 101183913, 126479888, 151775861?\nAnswer: 177071832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1580713377 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 4*w**2 - 4*w + 2. Let l be t(2). Suppose l*v - 30*v + 616 = 0. Let i = 294 - v. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 71086 - 71214 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 2) + (-1 - -1). Solve -5*x = -s*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 53 = 88 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 13*x**2 - 13*x + 48. Let i be t(12). Solve 5*l + i = 4*n, -n + 20 = 4*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:12 PM?\nAnswer: 602","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 515*s - 7227. What is the thousands digit of p(53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 378 + -669. Let f = z - -312. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 8. What is the smallest common multiple of (-6)\/6*s*3*-1 and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171\/440 + 1\/88. Which is the nearest to r? (a) -1\/3 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14404 - 22?\nAnswer: 14332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-2)*j\/j**4*j*j**1*(j*j\/j**(2\/13)*j)\/j*(j\/(j*j*j**(1\/5)*j))**(-10)\/(((j**(-7\/4)*j)\/j)\/j*j**(-2\/5)*j*j) assuming j is positive.\nAnswer: j**(7019\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (29 - 54) + 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/72 + b**5\/8 - 65*b**3\/6 - 3*b + 28. Let l(i) be the second derivative of f(i). Factor l(h).\nAnswer: 5*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/3 (c) 56 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5301417 kilograms?\nAnswer: 530.1417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/740517 and -61\/1481034?\nAnswer: 1481034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 14. Let z(b) = 11*b + 5. Let d(c) be the first derivative of 8*c**2 + 8*c + 1. Let h(t) = g*z(t) - 5*d(t). Calculate h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1512 and 12663.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -4. What is the common denominator of 281\/(-18) + 2\/u and -63\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-9)*(-6535 - (-50)\/(-10)). Round i to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-4)*4 + -3. Suppose -s = 4*z + 1. Let c = 9.6 + -9.4. What is the smallest value in c, z, -1\/12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1847, -0.0751, 80, 1 in decreasing order.\nAnswer: 80, 1, -0.0751, -1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 0*b + 3*b)*(-5251*b - 3833*b + 3369*b) + 9 - b**2 + 2*b**2 - 3 to l*b**2 + i + r*b and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(6 - -4). Let z = -41 - -245\/6. What is the nearest to 0.1 in h, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403104 (base 5) to base 3\nAnswer: -122200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 1\/2, -2, 3.\nAnswer: -489, -2, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16815, 31525, 46235?\nAnswer: 60945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/78 + (-45912693)\/1898. What is h rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111169156991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 15*g - 49)*(15*g**4 - 7*g**4 - 9*g**4 + 5*g - 2*g**3).\nAnswer: 15*g**5 + 30*g**4 - 75*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {f: 6, o: 3, d: 1, l: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-10)\/(-8)*15\/225*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 7. Let a be l(11). Suppose 2*z + 6*k - 128 = k, 0 = a*z + 5*k - 276. Suppose -z = -4*r - 14. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15249?\nAnswer: 3, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3 (c) -0.5 (d) 163\/7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353 divided by -284.\nAnswer: 353\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 9*g = 1008. What is the units digit of (-32)\/g - 285\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.7798?\nAnswer: 1.5596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 6, y: 6, s: 3, x: 1}. What is prob of sequence osr?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {v: 1, k: 2, w: 4, m: 3, r: 6, o: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose -3*m = 3*d + 9, -5*m - 12 = -d + j. Put m, -1, 2 in increasing order.\nAnswer: m, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/54 + 58\/18. Suppose -2*l = c*l - 110. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50815183 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -43*o**2 - o. Let l(t) be the second derivative of 3*t**3\/2 + 4*t**2 + 40*t + 1. Let d(v) = -7*v - 6. Let b(c) = 4*d(c) + 3*l(c). Determine b(h(r)).\nAnswer: 43*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129792.69 and 3.\nAnswer: 389378.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h - 4. Let j = 7 - 4. Let m be r(j). What is the highest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -436.\nAnswer: 47\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -984\nAnswer: -4920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 468 - 464. What is the nearest to 0.2 in -4\/5, n, 16\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122811.\nAnswer: 1122811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*z + 46*z + 30*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 - (0 + 3)) + 281?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1884*-1.2\nAnswer: 2260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 + l**5\/30 + l**3\/6 + l**2. Let h(m) = -10*m + 1. Let c be h(-1). Suppose -4*s + 1 = -c. What is r(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:42 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1048)\/(-120) - 9)\/(4*3\/(-150)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2 + 0 + (-2 - -6) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 24863962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.63 + -0.63. Let w = -8\/35 - 6\/35. Which is the third smallest value? (a) 2\/9 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00861215045 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.4 - -29.6. Let n = k - 91.0003532. Round n to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 3. Let m(b) = -1. What is -2*m(i) - 2*t(i)?\nAnswer: -2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/24 - 26*h**3\/9 + 35*h**2 + 1200*h - 7309. Factor d(v).\nAnswer: (v - 30)**2*(v + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.33, -7946, -6\/11 in decreasing order.\nAnswer: 0.33, -0.1, -6\/11, -7946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288\/895 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 22. Let s(v) = -v - 8. Let k(c) = 38*c - 56. Let w be (66\/12)\/(4\/8). Let q(m) = 14*m - 19. Let o(n) = w*q(n) - 4*k(n). Give b*s(j) - 6*o(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096031.13 rounded to the nearest one hundred?\nAnswer: 1096000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 345473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(2*a - a - 4*a)*(-24 - 7 - 15) + 7*a + 7 - 8 + 2.\nAnswer: 283*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 0*n**3 - 3*n**3 + (2*n**2 + 4*n**2 + 0*n**2)*(-7*n + 14*n - 56*n).\nAnswer: -293*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -269*x**2 + 3*x + 2. Let d be (-2 - -1) + 1 + (-50)\/25. Let l be n(d). Let g be ((-10)\/l)\/((-3)\/(-6)). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1*1\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + u**2 - 2*u**3 + 2*u**3 + u**4.\nAnswer: u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**6 + 29*r**5 - 6*r**3 + 83*r**2 + 6*r - 12. Let s(q) = q**5 + q**3 - q + 2. Let o(g) = -b(g) - 6*s(g). Find the third derivative of o(k) wrt k.\nAnswer: -360*k**3 - 2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -v - 7*c + 2*c, -4*v - 2*c = 218. Let q(s) = -5*s. Let u(f) = -45*f. Let w(k) = v*q(k) + 6*u(k). Let d(n) = 13*n. What is w(d(i))?\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.7068ml in litres?\nAnswer: 0.8617068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 5. Let o(f) = 9*f + 15. What is the remainder when o(2) is divided by k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/2*c**3 + 37*c + 1\/16*c**4 + 0 - 15\/8*c**2. Factor m(o).\nAnswer: 3*(o - 5)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/18)*m)*m)**(19\/5)*(m**(2\/71))**(-1\/73) assuming m is positive.\nAnswer: m**(1870883\/466470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*d + 318*d - 104*d - d**2 - 97*d = 0. What is d?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(r - 3*r + r)*(234 - 234 + 33*r)*(-2*r**2 + 5*r**2 - 5*r**2) - 2*r**4 + 0*r**4 + 0*r**4.\nAnswer: -134*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 46. Let t be 10 - 4*(h\/6)\/1. Calculate the highest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:53 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16705 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11121211 + -23?\nAnswer: 11121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295670443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -74, -141, -228, -335, -462, -609?\n\"Answer: -10*m**2 - 17*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 220*c**2 + 9*c + 55. Is 9 a factor of x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-7) - (-48)\/42. Solve 0*z - z = b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1120503*n**3 + 1133286*n**2.\nAnswer: -6723018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 0 + sqrt(76))*6 + sqrt(76) - (sqrt(76)*1 + 5)) + -2)**2.\nAnswer: -336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l**3 + l + 1 + 1 + 11*l**2 - 9*l**2 - 2*l**3 as w*l + h*l**3 + n*l**2 + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 95 = 5*p + 50*w + 1 + 18, 0 = 2*p - 4*w + 66 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*s - 1009*s = 31824 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 715777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 2*g. Let o(t) = 10*t + 1. Let x(k) = 41*k + 4. Let m(j) = -4*o(j) + x(j). Determine 2*m(a) - w(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15578702 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -88*l - 90*l + 356*l + 8*l**2 - 5 - 82*l - 2*l**3 - 88*l. Let n(q) = 2*q**3 - 9*q**2 - 9*q + 6. Calculate -6*a(o) - 5*n(o).\nAnswer: 2*o**3 - 3*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*q**3 - 99*q**3 - 2 - 10*q**2 - 105*q**3 + 402*q**3 - 101*q**3 + 5*q to the form v*q**2 + z*q**3 + k + x*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/20 - r**4\/4 + 2*r**3\/3 - r**2 + 6*r. Let w be f(2). Let i(t) = -t**3 + 3*t - 3. Determine i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149\/417 + 43\/139. Which is the nearest to h? (a) -2\/17 (b) 3 (c) -1\/8 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -59, -119, -201?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (584*i**2 - 895*i**2 - 681*i**2)*(i**2 - i**3 - i**2 + (2*i**2 - 2 + 2)*(-2*i + 4 - 4)).\nAnswer: 4960*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*((-12)\/66)\/((-90)\/165)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 18*f + 10*f + 2*f + 4*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -708940260 divided by 4\nAnswer: -177235065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/3 + 1916*g**2\/3 + 17110*g\/3 + 26572\/3 = 0. Calculate g.\nAnswer: -949, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.67313 rounded to 1 decimal place?\nAnswer: -208.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501554 a multiple of 1202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 45 - 41 = 0, -4*q = -2*t - 11288. Does 60 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3522078.\nAnswer: 2, 3, 7, 27953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72ce (base 15) in base 14?\nAnswer: 8bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 2, 4, -1 in descending order.\nAnswer: 9, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (5 + -17 + -1)) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -891, -1358, -1845, -2358?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.24. Let i = -8.55 + 7.19. Let n = z - i. What is the third biggest value in -1, -2\/13, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/38*992\/2480)\/((56\/(-7))\/(-16))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6422029 and 3869?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9414581?\nAnswer: 11, 191, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085118?\nAnswer: 2, 3, 223, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 1361561*h**2 - 5446257*h + 4084695.\nAnswer: (h - 3)*(h - 1)*(h + 1361565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 199405 and 1235.\nAnswer: 2592265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5889998, 11779916, 17669832, 23559746, 29449658?\nAnswer: 35339568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 39242540.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g - 15. Let i be k(0). Suppose -c - 3*y + 9 = 0, 3*c + 4*y = 4 + 3. Let a = c - i. What is the smallest common multiple of 20 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 1. Let y(i) = -18*i - 22. Let u(d) = -9*d + 6 + 2 - 19. Let l(t) = 7*u(t) - 3*y(t). Give -22*a(w) - 2*l(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = h - 4 - 0, 5*n + h = -12. Let c be (-42)\/(-28)*((-44)\/6 - n). Let t(f) be the second derivative of -f**3\/6 - f**2 - f. What is t(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*g + 739 with respect to g.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 2. Let g(x) be the third derivative of 7*x**4\/24 - x**3\/2 + 58*x**2. Determine 4*g(w) - 5*o(w).\nAnswer: -7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**2. Let w(c) be the second derivative of c**3\/3 + c. Give w(j(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -433 + 435. Solve -14 = -u*i - 3*v, -2*v = -9*i + 4*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:41 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 + 74*u - 137. Give j(-13).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 428*w**2 - 283*w - 155. Determine c(142).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -129*x**2 - 2118*x. Let q(n) = 6*n**2 - n. Let j(a) = -21*q(a) - u(a). Suppose j(k) = 0. Calculate k.\nAnswer: -713, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 81493 and -148?\nAnswer: -12060964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232 - 113 - 114)*(-31*t - 86*t + 28*t).\nAnswer: -445*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64964 equal to 64963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-136)\/20 + (-3)\/15. Let t(f) = -38*f + 41. Is t(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + -1 - 1*-2. Is u bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 989473431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39460948797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89370988 divided by 4.\nAnswer: -22342747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 261*a**2\/8 - 166773*a\/8 - 1917\/4 = 0.\nAnswer: -2\/87, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7183 and 28347?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-112)\/6)\/(1\/(-9)). Suppose -5*q + 3*v + 99 = 0, 2*q - 50 = -2*v - 2*v. What is the highest common factor of q and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 7*a + 5. Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*y, 0 = 3*p - 3*y - 2*y - 35. Solve 4*k - r - 3*r = p, -5*k = -2*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.06 - 68.86. Let v be (-68)\/144 - 2\/(-9). Which is the fourth biggest value? (a) 2\/9 (b) v (c) y (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*r + 3, 2*q + 5*r - 3 + 13 = 0. Suppose 24*i - 2407 = -q*w + 28*i, -w + 489 = 3*i. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90976.26 rounded to the nearest 100?\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -26. Do y and 3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g + 3627 = 0. What is the hundreds digit of ((-108)\/(-135))\/(g\/3625 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3236646.\nAnswer: 2, 3, 7, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*x = -52, x - 335 = 348 - 673. Suppose -4*r - 1 = -17. Calculate the remainder when i is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31982.52 millennia in centuries?\nAnswer: 319825.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16813765 and 31552.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -25, -3, -129 in descending order.\nAnswer: 2, 1, -3, -25, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*g + 11 = 51, -4*h + 5*g - 36 = 0. Let z be h\/16 + (3 - 404\/112). Let r be ((-9)\/(-8) - 1) + 0. What is the third biggest value in r, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 1333, 2760, 4699, 7150, 10113, 13588?\nAnswer: 17575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by -390\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0*h\/h**1*(h*h**(-2\/3)*h)**(-1\/29) assuming h is positive.\nAnswer: h**(-4\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u + 15*u = 700. What is the lowest common multiple of 4115 and u?\nAnswer: 28805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 2 (c) -7\/5 (d) 0.2 (e) 19 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25073352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1189 + 9*u**2 - 13*u**2 + 20*u**2 - 15*u**2 as o + h*u**2 + c*u and give o.\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**4 - 61 + 143 + 23*y**2 + 12*y**4 - 3*y**3 - 2*y + 2*y**3 - 55 in the form m*y**3 + v*y**2 + d*y + w*y**4 + a and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2295 = -14390*s + 14345*s. Solve 6*z = -99 + s for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 505411292*c**3*f**2*m**3 + 24*c**3*f**2 - 102*c**2*f**2*m**2 + 111*c**2*f*m**2 - 4*f**2*m - 12*f*m wrt m?\nAnswer: 3032467752*c**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 290, -2, -59, 1 in descending order.\nAnswer: 290, 2, 1, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + 4 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68070846 to the power of 1\/2, to the nearest integer?\nAnswer: 8251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (210\/(-75))\/((-3)\/735). Suppose 11*i - 6*i - 323 = -2*b, 2*i = -4*b + x. List the prime factors of b.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -483004 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 27 = -6*j. Suppose z + 3 = c, 7*z + c = j*z + 4. What is the tens digit of (-795)\/(-12) - z\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**6\/10 + 3*c**5\/10 - c**3 - 3*c**2\/2 + 7*c. Factor n(w).\nAnswer: 3*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Suppose -55*u - 107 = -50*u + d, 5*d = 4*u + 74. Let c be (-349)\/(-39) + 12 + u. Is r at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7 and 49574.\nAnswer: -282571.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12646)\/(-101556) + (69\/(-322))\/(6\/4) and 49\/27.\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110*z - 2210 = 1105*z. Let l(m) = -3*m - 11. Let c be l(-8). Calculate the highest common factor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(2318 - 3238*p - 2318)*(-2 - 2 + 1) in the form b + d*p and give d.\nAnswer: 9714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1108073\/1260 - 7906\/9. Let z = m + -8\/35. What is the nearest to 3 in 2\/3, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 4*l + 3*l - 5*l + l.\nAnswer: -5*l - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - b = -9, 0 = 4*o - 3*b - 43. Let s(q) = o*q + 4*q - 3*q - q. Let c(j) = 13*j - 2*j - 9*j. Calculate c(s(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729592121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -0.4 (c) -802951 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 + 7*a**3\/3 + 9*a**2\/2 + a + 1131. Give t(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 5*m + (0 + 0 - m)*(-1 + 2 - 3) + 0*m + 2*m - 3*m + (-1 + 4 - 4)*(44*m - 314 + 314).\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 11*n**2 - 17*n + 54. Give c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**4 + 3*l**3 - 47*l - 9*l**4 - 4*l**4 + 26*l - 6*l**2 in the form z*l**2 + a*l + i + h*l**4 + x*l**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384 + 436. Let d = 317 - -21. Calculate the greatest common divisor of d and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**3*y**2 + 2466*f**2*y**2 + 2*f*y + 36*f - 10*y**2 - 35 wrt f.\nAnswer: 30*f*y**2 + 4932*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 + 4*n**2 - 4*n + 1. Let c be i(3). Let j = c - -283. Is j\/5 + 27\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -644 + -425552?\nAnswer: -426416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2051*t - 36914. Determine h(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:08 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 843 (c) 3 (d) -27 (e) 0.018\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3151591?\nAnswer: 257, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 4020*s\/7 + 2020050\/7.\nAnswer: 2*(s - 1005)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:22 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -134687058 divided by -2?\nAnswer: 67343529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddhlprllld. Give prob of picking 2 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -42207 at most as big as -42207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 1\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 33*c - 22*c + 13. What is the third smallest value in 0.9, c, -8\/5, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.266 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4149829.3 to the nearest 10000.\nAnswer: 4150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23 - w + 7 + 3*w - 9 - 9. Let i(y) = -2*y - 11. What is -2*i(m) - 3*j(m)?\nAnswer: -2*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 7. Let g(y) = -5*y - 6. Let x(c) = -7*g(c) + 6*z(c). Let r(n) = -9*n**2. Give r(x(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 3, z: 2, c: 1, w: 1, u: 1}. What is prob of picking 1 w and 1 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/21 (b) -174 (c) 3\/8 (d) -0.08 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -1 + (-3256 - -3278)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 2 q when four letters picked without replacement from {g: 2, q: 3, y: 4, n: 3, o: 1, s: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9216 and 2816.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 1089*y**2 - 95757*y - 96849.\nAnswer: -3*(y - 211)*(y - 153)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 998\/4 - -1 - 18\/36 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by ((-27)\/54)\/(219\/(-218) + 1).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 divided by -209?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 bigger than -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 5. Let h be f(0). Let d be (3 + -3 + 2)\/((-4)\/(-6)). Let x be d\/12 + 47\/4. Solve -w = -h*w - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 3. List the prime factors of l(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*q - 16, 4*q + 7 - 15 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-39)\/(-33)) + 8 + -14*360\/(-616)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387797 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(4\/16*-3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 - 1203*m - 7326 = 0.\nAnswer: -6, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1) + (-81)\/27. Suppose 4*r - 1115 + 271 = n. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w + 36. Let h = w - 4. Suppose 2*f + 4 = h*t - t, -5*t + 5 = 3*f. Put -1, 2, t in increasing order.\nAnswer: -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21463\/7 + -3069. What is the fourth biggest value in 0.1, -4, f, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4332370?\nAnswer: 3\/4332370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -87, -234, -445?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23107)\/(-63) + (-4)\/(-18). Suppose -7098 = -373*u + l*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 17*w - 63. Let g be l(11). Solve -2*f + 2*x = -7 - g, f = -2*x - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -54 (b) 3\/4 (c) 2.3 (d) 5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**3 - 2*g**2 + 95*g + 444. Let u be i(-8). Calculate the highest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -56*p**3 - p. Let z = 11 - 10. Let s be l(z). Let k = 81 + s. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5 + 1. Let q be (3 - 2) + -1 + 1. Let h = q + -2. Is h <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 168 = 7*u. Let k = u + 61. Suppose 2545 = k*a - 7720. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6742 + 0.367.\nAnswer: -6741.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 + 2. Let n be v(0). Solve -3*d + 3 = -n*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a*a**(-2\/3)*a)**(-3\/10)*a**(2\/9)*a\/((a*(a*a\/a**(2\/5))\/a*a)\/a))**(-1\/13) assuming a is positive.\nAnswer: a**(89\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7)\/(-56)*1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**5\/20 + 17*d**4\/4 - 289*d**3\/2 - d**2\/2 + 7*d - 7. Let y(a) be the second derivative of l(a). Factor y(w).\nAnswer: -3*(w - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -300532670 - -2?\nAnswer: -300532666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*25\/50. Solve i = -l + 4 + b, -2*l = 4*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108*(-2)\/120)\/((-1)\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 4*(-11 + (0 - -3)). Suppose -l = -9*d + 3*d. Suppose d*m - 495 = 170. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*n + 346 = 0, 0 = 3*n - 2*n + 1. Calculate the lowest common multiple of 91 and p.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u - 100 = 0. Suppose 0 = -92*y - 29*y + 12584. What is the smallest common multiple of y and u?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/(-6) - 112\/(-12) and (-64)\/(-6) + (-8)\/(-24).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8075, 10008, 11969, 13958, 15975, 18020?\nAnswer: 20093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 905330*x**2 + 8397785*x + 7 wrt x?\nAnswer: -12*x - 1810660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1703*n**2 - 1233*n**2 - 1196*n**2 - 58*n**2 as p + h*n**2 + x*n and give h.\nAnswer: -4190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146.672 and -12.\nAnswer: 1760.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250\/1127033 or 0?\nAnswer: 250\/1127033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4593?\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 598*v**3 + 720.\nAnswer: 1794*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 35. Let g(m) = 5*m + 15. Let v(f) = 7*g(f) + 3*t(f). Let d(c) = -10*c**2 - 16*c**2 - 195*c + 195*c. What is d(v(u))?\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (10 - (-3 - 21780\/(-640)))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -40, 58, -2, -272, 20 in decreasing order.\nAnswer: 58, 20, -1, -2, -40, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -214*d. Let c(t) = -88*t + 216. Let j(f) = -18*f + 45. Let k(l) = 5*c(l) - 24*j(l). Determine r(k(g)).\nAnswer: 1712*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) -1\/5 (b) 455 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51115 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -56*v + 19. Let k(f) = -223*f + 81. What is -3*k(j) + 13*x(j)?\nAnswer: -59*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836618, 836621, 836624, 836627, 836630?\nAnswer: 836633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7277856 (base 10) in base 15?\nAnswer: -98b606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 + 2*u**2 - 2*u**2)*(-2 - 3 + 0)*(5 - 5 + u**2) to w*u**4 + k*u**3 + d*u + n + s*u**2 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*h + 51*h + 168. Suppose -3*d + 4*l + 14 + h = 0, -3*d + 51 = -3*l. Factor 131*o**2 - d*o + 130*o**2 - 264*o**2.\nAnswer: -3*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.04 (c) -10 (d) 230 (e) -0.4 (f) 3 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u - 67. Let h(j) = -14*j + 91. Calculate -6*h(a) - 5*x(a).\nAnswer: 19*a - 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p. Let a(f) = 5*f**2 - 931*f + 229. What is the remainder when a(186) is divided by d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in -2\/9, -2, -24, 5, -0.3, 1\/14?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k. Let x(l) = 5*l**2 - 3*l. Let v(w) = -16*w**2 + 10*w. Let g(u) = 6*v(u) + 20*x(u). Give g(j(y)).\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 13*q**3 + 6*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/12*3 + 5. Solve -i - v = 7 - 3, 3*v = -5*i - f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -25. Which is the smallest value? (a) m (b) 4 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 113 = i, 3*i - 233 = 2*l - 2*i. Let j = l + 1937\/17. Let a = -1760 + 1765. What is the closest to j in -1, 1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163144 (base 10) to base 6\nAnswer: 3255144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/((-2)\/(-28)*8*16*35\/160).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7 + 3. Suppose -4*x + 8 = 0, 4*t - t - g*x = 35. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1392*a**4 + 586*a**2 + 241*a - 15671 wrt a?\nAnswer: -16704*a**2 + 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 10*w + 8*w**2 - 16*w + 105*w - 68*w - 3 to the form o*w**2 + v + l*w and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 165 (b) 0.1 (c) -0.1668 (d) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -340, -10046 in increasing order.\nAnswer: -10046, -340, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-344)\/(-12))\/((24\/9)\/(-4)). Let k = y - -57. What is the least common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.74267 to 1 decimal place.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-16)*(-10)\/1. Suppose 7 = -j*r - 23. Which is greater: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -22, -43, -64, -85?\n\"Answer: -21*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -25. Factor 12*t**2 + 5*t**3 + t - 10*t**2 - 4*t**p.\nAnswer: t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 779545*y**2\/4 - 151917534587*y\/4 + 1975059694933\/4.\nAnswer: -(y - 13)*(y + 389779)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13399796*z**2 + 9740302*z**2 + 5311293*z**2.\nAnswer: 28451391*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(3 - 850\/280).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045788.\nAnswer: 2, 3, 87149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 14*n + 18. Let f be v(15). Suppose f*x - 6 = 3*m, 3*m + 3 + 7 = 5*x. Suppose 10 = 5*h, 2*a = -x*h + 3*h + 312. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from aevqzagzqvevqz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967835*g**2 + 2*g - 2*g - 967771*g**2 + 1935628*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7186996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1593)\/(-180))\/(-128 + 74) and ((-25)\/(-24))\/(-5)*-100.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273239917 to the nearest integer?\nAnswer: 16530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 101*l - 42*l**3 - 76 + 316 + 98*l.\nAnswer: -46*l**3 - 3*l + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -0.1, -1 in decreasing order.\nAnswer: -0.1, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*-2*0\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.2. Let f = -1\/2 - -1\/6. What is the closest to f in r, 1\/3, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -17*c - 18. Let b(x) = x - 2. What is b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-108)\/(-4) + -5 + 3. Let h = d - 11. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -1536.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8552, 17090, 25628, 34166, 42704, 51242?\nAnswer: 59780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-96))\/(46\/16 - 3). Which is the nearest to h? (a) -2\/11 (b) 2 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5050434*c + 3472. Let a be r(-8). What is a rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from hnhhhnh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1217231*z - 5365134?\nAnswer: -1217231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*p - 15 = 0, -18*p - 6 = -2*c - 14*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 + 25*v**2 + 14*v - 12. Let i be j(13). Let o be (-4)\/8 - 0\/(2\/i). Which is the closest to -2\/9? (a) o (b) 0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658*d**2 - 5475*d**2 + 2166*d**2 + 1653*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*g + 35, -329*v = 327*v - 659*v + 5*g - 165 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 14*s**3 + 25*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31*a. Let y(p) = -1201*p - 12. Let k(t) = 362700*t + 3627. Let i(w) = -4*k(w) - 1209*y(w). What is -4*i(o) - 155*r(o)?\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1035 + -988.1. Let h = b - 46.5. What is the nearest to -0.1 in -2\/15, h, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 225*a**3 - 1077*a**2 - 11385*a.\nAnswer: -3*a*(a - 69)*(a - 11)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 513, 795?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-196)\/(-245)*(-8)\/((-384)\/(-18))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14574560*x**2 + 193125017 wrt x.\nAnswer: 29149120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.456 (b) 8\/19 (c) -18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639579009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = -4*p - 0, 40 = -5*o + 4*p. What are the prime factors of (o\/6)\/(4\/(-144))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdmg when four letters picked without replacement from ddmgdddmmmdmddmdd.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7605173617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1627680.000068 - -1627675. Let s = -1 - 4. Let h = z - s. Round h to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56452515 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*b**3 - 103068408*b**2 + 103068408*b**2.\nAnswer: 760*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1439986334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10101000100 (base 2) to base 12\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16 + -33)\/(1\/2). Let r = -13 - j. Let h be 0\/(0 - (-3)\/3). Solve h = 4*y - r + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1440)\/(-12312) + 4\/(-18).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -5. Let t = x - -30. Solve m - 10 = -m, 0 = -2*n + 5*m - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2137301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y**2 + 2*y**2)*(2*y - y + 0*y) - y**3 + 0*y**3 + 4*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 19. What is n(-17)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*v + 4*k, -3*v + 5*k + 1 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4581, -7, -2, 1 in descending order.\nAnswer: 1, -2, -7, -4581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456497?\nAnswer: 227, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**3 + 7*y**3 + 35*y**3.\nAnswer: 69*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**9)**49)**26 assuming g is positive.\nAnswer: g**14014","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-7105)*63*(-5)\/(-45)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -2358.\nAnswer: -2357.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 68.41208 millimeters?\nAnswer: 0.06841208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + h = -x + 10, -2*x - 3*h + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.2 - 172. Let v = -1 - 2. Which is the closest to -0.2? (a) i (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -653592.\nAnswer: 1\/217864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (-2 - -2)\/4. Let k = -32 + 25. Sort k, q, -3 in increasing order.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281 (base 11) to base 5\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 245 = -3*d, -2*d + 7*d - 397 = 4*v. Suppose -5*i - d + 306 = 3*z, i - 27 = 3*z. Calculate the highest common divisor of 84 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 6*q - 49*q**3.\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.1. Let z = -21.8 + 22. Let w = -0.2 - z. What is the second smallest value in -2, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464753.\nAnswer: 464753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (9 + -35 - 4). What is the greatest common factor of 70 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + m + 3*m - 37, 6*m = 7*m - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21270, -41967, -62664, -83361, -104058?\n\"Answer: -20697*x - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 49 = 2*w + 66 + 29, 0 = 5*w - 28*i - 8*i + 186 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/5 - 556*l**2\/5 - 38642*l\/5 = 0. What is l?\nAnswer: -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30967535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 69. Let m(d) = -5*d - 5. Let z be m(-4). Suppose -z + l = 2*n. Solve 0*h - 3*h - n = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = j + 9, -3*b - 12 = 7*j - 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 25. Suppose -4*m = -0*m + 84. Suppose -91 - 4 = -5*l. What is the remainder when l is divided by q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48535*u + 615*u**2 - 48535*u + 1655*u**2.\nAnswer: 2270*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 + 2*o + 7. Let q(b) = -b**2 + 1. Let j(l) = -10*l - 69. Let y be j(-7). Give y*h(a) - 5*q(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 11.78 (c) 5 (d) -74 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 3964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292208143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1237 + -1156. What is the remainder when r is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15320873 to the power of 1\/2, to the nearest integer?\nAnswer: 3914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j + 4*j**2 + 53*j - 3*j**2 - 101*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -9 - 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -865 + 2594. Let c = 2672 - b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 1\/3, 0.1, -4, -3, 2\/5, -122927?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 - 374. Suppose -9*r = w*r - 96. Factor -2\/3*i**r - 1\/3*i**4 + 0 + 2\/3*i + 1\/3*i**2.\nAnswer: -i*(i - 1)*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-12) + 1\/(-6). Put c, -4, -2, -1 in decreasing order.\nAnswer: c, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**6\/1140 + y**5\/114 - 2*y**4\/57 + 4*y**3\/57 + 12*y**2 + 25. Let m(n) be the second derivative of w(n). Solve m(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 7:32 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96920449 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2996 rounded to 2 dps?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(110)*1*-1)\/(sqrt(10) - (2*sqrt(60) - sqrt(60) - sqrt(60))\/sqrt(6) - (sqrt(100)\/sqrt(40) - sqrt(10))).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 62 = -28 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) 0 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402909 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206401, -206400, -206399, -206398?\nAnswer: -206397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241\/2 or -122?\nAnswer: -241\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5103) + (sqrt(5103)*-1 - sqrt(5103)) + sqrt(5103))\/(1*sqrt(1296)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211762910.\nAnswer: 2, 5, 21176291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 = -3*v, 13 = i - v - 6. Let a = i + -10. What is the remainder when 10 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - (0 - 0)) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + 0 + 3 - 8 - (1 - -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) -11 (c) 1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: -35 times 7.2\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6)\/(-33 + -1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/209, 0.029176, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 108. Let a be k(27). Let j = -3 - -2. Let n(l) = -l + 1. Let w be n(j). Solve p - 5 + w = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3 + 1 - 6*s + 288*s**2 - 282*s**2 as x*s**2 + v*s + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.834 - -2.7446597.\nAnswer: 8.5786597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - 4)*4\/6. Let s(i) = -i**2 + 5*i + 1. Let v be s(p). Find g such that -9*g**4 - 4*g**5 + g**4 - g + 7*g**2 + g**2 + v*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3056 (base 11) to base 14.\nAnswer: -1698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17595436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 21*f**5 - 6*f + 6*f - f**5 - f**5 + 3*f**5 + (2*f**4 + 3*f**3 - 3*f**3)*(-f - f + 0*f) + 4*f**3 - 4*f**3 + 2*f**5 - f**5 - 2*f**5 + f**5.\nAnswer: -24*f**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52\/(1\/5 + (-4)\/(-5)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.46. Let h = z + -0.6. Let q = 3 - 8. Which is the third biggest value? (a) q (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -43*u**2 - 1176*u - 1510. Calculate n(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(0 + (-6)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83\/2678 in 5, -0.01, 3, 7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985465033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i + 16, 4*i + 5*a = i + 28. Suppose -i*c + 44 = -2*c. What is the lowest common multiple of 6\/(-33) - (3 - 395\/55) and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((23\/1012)\/((-2)\/(-1)))\/(-1). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*z - 12, 5*t + z = -0*z + 49. Let n = 32 - t. What is the least common multiple of 6 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213032 (base 4) to base 9\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*d - 49, 3*d + 9*b + 89 + 211 = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -55, -56, -23, 56, 193, 400, 689?\n\"Answer: 2*d**3 - d**2 - 34*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16609177.62 to the nearest ten thousand.\nAnswer: -16610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:41 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 52. Calculate x(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 - 3019 - (2 + -4 - 5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.9333 times 0.1\nAnswer: 0.29333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/6)\/(o*o*o\/o**(2\/5)))\/(o**(-5\/7)*o*o\/(o*(o**(-12)\/o)\/o)) assuming o is positive.\nAnswer: o**(-3721\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*s - 7*s + 611, 4*b + s - 615 = 0. Let d = 454 - b. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 260. Suppose -2*s = 3*w - a, 2*s = s - 5*w + 106. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -9 + 26 + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550401 (base 6) to base 15.\nAnswer: d73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 3*r + 0*r**2 - 50*r**4 + 2*r**3 + 6*r + 47*r**4 in the form h*r**3 + q*r + y*r**2 + p*r**4 + d and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3268.0011192 - 3268. Round y to five decimal places.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 125*z + 122. Let b be o(-124). Let y(v) = -4*v - 13. Let q(i) = -i - 3. Let a = 12 + -3. Determine a*q(d) + b*y(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-2)*w))**27)**41*(w**(1\/6)\/w**(-1\/2))\/(w**5*w*w**4) assuming w is positive.\nAnswer: w**(6614\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/199472 and -71\/2760576.\nAnswer: 378198912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2282 divided by -5.\nAnswer: -2282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*4\/(-2) - -3498 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1\/3. Let r be (2\/68)\/((-4)\/16). Let w = 605.4 - 605. Sort r, w, a in decreasing order.\nAnswer: w, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -3*d**2 + 0*d**4 + 0*d**5 + 0 - 1\/120*d**6 + 0*d + d**3. What is the derivative of n(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*634725.\nAnswer: 1269450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 16 = 2*k, 11*w + 21 = 14*w - 5*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3 - 44*a**2 - 82*a - 40 = 0?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264994 + 142363.\nAnswer: 407357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(114) - -6*1*sqrt(114)))\/(2*(sqrt(384) + -2*(sqrt(384) + -2*sqrt(384) + sqrt(384)) + sqrt(384) + sqrt(384))).\nAnswer: 7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/24 - -2 - 7\/(-56). Let f be 6*(8\/3)\/4. Sort f, p, 0 in decreasing order.\nAnswer: f, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 2, 5, -1997, -5 in ascending order.\nAnswer: -1997, -5, -3, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/(-5)*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = u. Suppose -3*t + 0 + 25 = 5*a, -u*a + 26 = 4*t. Solve 2*s + a*j - 1 = j, 2*s - j = -1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*((-50)\/(-36))\/(-25).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/21))**28 assuming q is positive.\nAnswer: q**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2398)\/(-99) + 4\/(-18). Suppose -29*k + 6245 = -z*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55933, -55932, -55921, -55894, -55845?\n\"Answer: m**3 - m**2 - 3*m - 55930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*b*x**3 - a*b*x**2 - 2*a*x + 140*b*x**3 - 18*b*x**2 + 3*x**2 wrt x?\nAnswer: -6*a*b + 840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*b - 1851*b = -3960 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598749, 598724, 598699, 598674, 598649?\nAnswer: 598624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -8) + (-9 - (-8 + -5 + 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 559541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5640 and 1650?\nAnswer: 310200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 29674.39\nAnswer: 23739.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -45?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from ohlzoholz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - 15) - (-101 + 96 + 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 - 116. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) - ((-466)\/22)\/((-184)\/184)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)\/(4\/10). Let l = -36 - -32. Put -2, -1, q, l in decreasing order.\nAnswer: q, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 95*n**2 - 808*n + 1648.\nAnswer: (n - 4)**2*(n + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x**4\/11 + 116*x**3\/11 - 32*x**2\/11 = 0 for x.\nAnswer: 0, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 9) to base 16\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - n - 6 = 2*y, 4*y = 3*n - 12. Let s be y + (5 - (3 - 0)). Sort s, 2, 4 in ascending order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a + 1140 = 68*a. Is a less than or equal to 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w**2 - 28*w + 415. List the prime factors of y(-38).\nAnswer: 33247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 451.7?\nAnswer: -11744.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*s + a, -s = -5*s - a - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 149952692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1441921*q - 22796519 wrt q.\nAnswer: -1441921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w + 156. Let k(i) = 3*i + 72. Let x(m) = -6*c(m) + 13*k(m). Let d(q) be the second derivative of 7*q**4\/12 + 2*q. Determine d(x(f)).\nAnswer: 1575*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + (-7)\/2. Let z(o) = o. Let n(m) = -m. Suppose 18 + 2 = 4*f. Suppose 5*d + 0 + f = 0. Give d*z(i) + h*n(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 364\/63 + 6\/27. Suppose 0 = f*q - 101 + 29. Find x such that -48*x**4 - x**5 + 16 + 40*x + 7*x**5 + 40*x**4 - 26*x**3 + q*x**2 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1198.093000276 - 4057.497750291. Let r = 2882.40475 + a. Let o = -23 + r. Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 184. What is the highest common divisor of 45 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82974 is divided by 41481.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*z - 5*z + 14, z + 10 = 2*r. Suppose 22 = o + r*x, o - 20 = -x - x. Suppose -2*m = -42 - o. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*n*s**2*u + 2*n - 2*s**2*u**2 - 9*u**2 - u wrt s?\nAnswer: 34*n*s*u - 4*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444765 (base 8) to base 15.\nAnswer: -2e6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Suppose -n + 13 = 3*c, 2*n + 17 + 12 = 5*c. Let d be n\/(-13) - (-216)\/117. Put -3, d, l in descending order.\nAnswer: l, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -3?\nAnswer: -400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136*z**2 + 3*z**4 + 692*z**2 - 1734*z**2 + (2*z + z - z)*(z**3 + 0*z**3 + z**3) - 2*z**4 + 5*z**4 - 2*z**4.\nAnswer: 8*z**4 - 906*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 83 + 19*r**2 + 7*r**2 + 46.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 21.1\nAnswer: 10.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 90755?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17*j - 4. Let r(c) = 33*c + 7. Let t be (13\/(520\/48))\/(-2*6\/40). Give t*r(q) - 7*b(q).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15998, 19063, 22128, 25193, 28258?\n\"Answer: 3065*j + 12933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2 - 2*a**3 + 6*a**4 + 5*a**4 - 2*a**4 - 10*a**4.\nAnswer: -a**2*(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/21 + 228190*d\/21 + 21732 = 0.\nAnswer: -114093, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 22546 = 26440. Sort 4, x, -1 in ascending order.\nAnswer: -1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 170 in -20399, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.815 - 0.385. Let n = 435 + -367. Let x = z + n. What is x rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*l = -137, -2*l + 48 + 46 = 2*j. Suppose j = 5*n - 67. Solve 7*w + 12*w**4 + 24*w**2 + n*w**3 - 4*w + 4*w**3 + 2*w**5 + 5*w = 0 for w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/60 + 3*u**4\/8 + 3*u**3\/2 + u**2. Let f = -295 + 288. What is i(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, -0.02, 2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 20 = -5*p, -w = -4482*p + 4477*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -550890 in -5\/3, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 - 44*c**2 + 97*c**2 - 27*c**2 + 385*c**3.\nAnswer: 385*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 38338?\nAnswer: 38336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32\/105 + -2\/21. Let m = 0.162 - 0.062. Let k = -28\/9 + 25\/9. Which is the third smallest value? (a) k (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -39*c**3 - 8*c**2 - 8*c. Let g(i) = -13*i**3 - 3*i**2 - 3*i. Suppose 0 = -h - 4, 9*h + 32 = 2*n + 5*h. Give n*g(f) - 3*k(f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*r - 304 = 27*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 6. Suppose -6 = -4*s + g*s. Suppose s*p - 8*p + 45 = 0. What is the smallest common multiple of 11 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13 - 11 - 5 + 28. Let c(f) = 4*f**2 + 5. Give -c(o) - 5*n(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -1 (c) 2 (d) 597 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 7. Let c be -21*3\/(-9) + 4\/(-2). Let g(d) = -3*d - 11. Determine c*g(m) + 8*h(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/27 and -62\/7017.\nAnswer: 63153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -11. Suppose -3*s + 52 = -4*z, -s - o*z = -z + 4. Suppose i - 25 = -s. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 115*g**2. Let v(u) = 5*u**2 + 2. Let j(a) = -a**2 + 1. Let h(m) = -2*j(m) + v(m). Determine z(h(w)).\nAnswer: 5635*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80792 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/8 (b) 5 (c) -1\/29 (d) 1\/2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**2 - 90*z + 327. Let w be v(4). Solve 0 = 13*m + w - 56 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 103*u**3 - 2*u**2 - 19*u - 28. Let z be v(6). Suppose -12*i + z = -5*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 13*b**3 + 17*b**3 - 9*b**3 + 2 - 4 to w*b**3 + y + o*b + n*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -9, -1, -10 in descending order.\nAnswer: 14, -1, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.0012. What is t rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:49 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/(8 - (-90)\/(-12)). Let y be (7\/(42\/(-20)))\/(i\/(-6)). What is the third biggest value in 4\/7, -3, -1, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 1. Let s(l) = -14*l**2 + 9. Let c(p) = -s(p) + 6*x(p). Find the first derivative of c(g) wrt g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8874552 and 79\/6?\nAnswer: 8874552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-185)\/(-8))\/(3\/(-9 - 3)). Let a = x - -91. What is the fourth biggest value in 0.05, a, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g = -136*g + 3420. Solve 5 = -x, 12*t - 3*x - g = 13*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24.0556 kilograms?\nAnswer: 24055600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21568.7988 - -21523.8. Let c = 33 + -78. Let f = c - p. Round f to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -96.\nAnswer: -95.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14220042.\nAnswer: 2, 3, 2370007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (4 + -9 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -21. Is (-2 + a\/(-2))*-230 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by -5 + 2 + 0 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) -10 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11*k = -12*k - 33661, 0 = 4*r + 3*k - 33673. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14548*r - 1. Let b be k(1). Is (3\/((-9)\/2))\/((-26)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7683 and 7566?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0 + 0)*(0*y - 2*y + y) + (2 - 1 + 1)*(17 - 43 - 13)*(13 - 8 - 10)*(-4*y - 2*y + 4*y)*(-y - 4*y + 3*y).\nAnswer: 1562*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -47b10 (base 12) to base 6\nAnswer: -2023220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-738)\/(-30) + (-6)\/(-15). Suppose 5*r - p + 10 = 0. Find the second derivative of -7*d**r - 3*d**3 - 8*d + 22*d wrt d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 28*p - 3. Let s be z(1). Let r = s - 4. Suppose -5*h - j = -950, -403 = -4*h + 2*h - 5*j. What is the highest common divisor of h and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7099 - 7094. Solve -c + 5 = -o + 10, 11 = -2*o - j*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (8\/(-4) + -7). Suppose -2*a = -4*g - 20, 0*a - 3*a = w*g + 6. Solve -t + a*i - 1 = -2, 0 = -4*i - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3.7, 52, 4, -139, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -27\/16, -2, 2\/9, -85?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 2*y - 4*r + 62 = -3*r, -5*y + 4*r - 43 = -71 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -14. Suppose 14 = l*y - n - 70, 3*n = -y + 38. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -35*b + i - 141, -2*b - 130*i = -135*i - 416 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 28502418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2864.57 + -3010.7. Let t = g + 147. Round t to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - 4*o + (1 + 0 + 1)*(-6*o - 5*o + 4*o) - 3*o + 5 - 5 - o - 29*o + 0*o)*((-1 - 1 + 3)*(1 - o - 1) - 6*o + 3*o + o - 2*o + 4*o - o).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at most -68282\/725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-425)\/5)\/(-5)*117 - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 + 3*z + 7. Let b(k) = k. Let v be b(0). List the prime factors of c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - 26*x**2 + 4. Determine k(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -203233321213 (base 4) in base 10?\nAnswer: -9371239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 + 1 = g, 0 = 4*g - 3*x + 49. Let a be 6*(-1)\/2 - (g + 18). Put -1\/4, -0.01, a, -1\/8 in increasing order.\nAnswer: a, -1\/4, -1\/8, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/(-1248) + (-5994)\/1872?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*f - 20 = 0, 0 = k + 2*k + 5*f - 31. Differentiate 0*c - 140 - 618*c**2 + 0*c - c + 684*c**k with respect to c.\nAnswer: 132*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 207, 220, 237, 258, 283?\n\"Answer: 2*w**2 + 7*w + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f - 6. What is i(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 16965*s**3 - 23975784*s**2 + 23992752*s.\nAnswer: -3*s*(s - 1)*(s + 2828)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2, -3\/8, 2.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15259, 15354, 15449, 15544, 15639, 15734?\n\"Answer: 95*d + 15164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -7*k + 12*k. Suppose k = -45*c - 82 - 98. Sort 1\/4, c, 1, -1\/9 in increasing order.\nAnswer: c, -1\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 21 = 5*w + 3*s, 5*s - 15 = 0. Suppose -k + 0*k = -w. What is the lowest common multiple of k and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 211809257\nAnswer: 2\/211809257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 34\/(-6) - 1\/(-3). Let r(p) = 4*p - 14. Let j be r(t). Let q(o) = o**2 + 6*o - 2. Let y be q(-6). Which is the nearest to j? (a) -3 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289593 or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**4*i**2 - 2*a*i**2 - 6*a*i - 496*i**2 wrt a.\nAnswer: -40*a**3*i**2 - 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 16487*d - 16512*d. Solve -t = -4*a - 19, d*t = 11*t - a - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3793 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1416, 5512, 12344, 21918, 34240?\n\"Answer: m**3 + 1362*m**2 + 3*m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52346162?\nAnswer: 2, 11, 17, 67, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2000 and 173875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -42. What is the third derivative of 34*l**6 - p*l**2 - l**6 - 4*l**2 wrt l?\nAnswer: 3960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 5*d. Let q be i(5). Suppose -4*t = 4*b - 20, -b - 1 = -t - q*t. Factor 1\/5*u**b - 1\/5 + 0*u.\nAnswer: (u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:39 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39977839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 83 = 13*j - 9*j, -j = -2. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((74\/2664)\/(5\/(-3)))\/(-1)\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Let u(f) = -23*f**2 + 3*f. Calculate 3*m(v) - u(v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-359)\/718)\/((7\/(-62))\/7).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -70.02. Let v = 70.000148 + i. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -503 + 524. Let x = -3451554.999955 + 3451576. Let q = w - x. What is q rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5\/7 - 74*l**4\/7 - 922*l**3\/7 + 25650*l**2\/7 + 404352*l\/7 + 1492992\/7 = 0.\nAnswer: -9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3005 >= -18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89650972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 36364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(218810\/19890 - 11). What is the greatest common factor of m and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - w + 1. Let z be p(1). Let s(h) = 0*h - 123 + 125 - h. Let g(l) = -l + 4. Calculate z*s(a) + 3*g(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 205 = -213*j + 2369 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -5 (c) 82 (d) 0.1 (e) 20 (f) 0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 - y - 2. Let c be j(-1). Suppose -12 = -l - c*l. Let x(g) = -41*g - 8. Let f(r) = -14*r - 3. Let m(a) = -17*f(a) + 6*x(a). What is m(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + 2*h**2 + 2*h - 15. Let n be d(-7). Suppose p = 6*p + s - n, -3*p + 875 = -2*s. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 54*i**2 - 60*i + 294. Calculate c(0).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15 and 103\/1418712.\nAnswer: 7093560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/100 - (2\/16)\/(1\/(-366)). Solve n + j = 42 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-119 - 367*p + 237 - 120)*(3*p**2 - 2*p**2 + 0*p**2) as b*p + n + d*p**2 + j*p**3 and give j.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 9 = 19*z + 2*k, -4*z - 12 = 5*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105762518?\nAnswer: 2, 52881259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108832 and 2944?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -182a22 - da?\nAnswer: -182b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {d: 4, m: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**3 + 3*t**2 + 22*t - 88. List the prime factors of v(5).\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 357 in decreasing order.\nAnswer: 357, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28735379 to the power of 1\/2, to the nearest integer?\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50813.\nAnswer: 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40553754 to the power of 1\/2, to the nearest integer?\nAnswer: 6368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 1 (c) -1.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212160 less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1 + sqrt(114) - sqrt(114))*-4 + -1*((sqrt(114) + (1*sqrt(114) - sqrt(114)) - sqrt(114)) + sqrt(114)))\/(sqrt(96)\/sqrt(4)*2)*-4.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 25*z + 67. Let f(m) = -24*m - 102. Let i(q) = -3*f(q) - 4*h(q). Let x(s) = 2*s**2. Calculate x(i(g)).\nAnswer: 1568*g**2 - 4256*g + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 12*o = 0. Solve -j - 2*g - 2 = o, -5 + 4 = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(304))**2 - sqrt(304)) + -1.\nAnswer: -4*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(684) + 4 - sqrt(684)*4*6).\nAnswer: -522*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 121\/2*g**3 + 2 + 24*g + 165\/2*g**2 = 0?\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -164, -733, -2002, -4265, -7816, -12949?\n\"Answer: -49*w**3 - 56*w**2 - 58*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35721*i**2 - 45186 - 13412*i**2 + 45186 + 5*i**2 + 3*i**2 - 6*i**2 + (-2 - 2*i**2 + 2)*(1 - 4 + 1).\nAnswer: 22315*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0125, -12, 1\/2, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-28)*(-2)\/(-4)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Let r = 0.32 + -0.02. What is the nearest to 1 in -0.5, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4)*-2)\/(9\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 11*h**5\/60 + h**4\/6 + 2*h**3\/3 - 7*h**2. Let b be 96\/(-42) - (-2)\/7. Calculate the remainder when 158 is divided by d(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1002?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3261, 3252, 3231, 3192, 3129, 3036, 2907?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4 - 5*t**2 + 1 - 2. Let s(r) be the third derivative of -r**5\/30 - r**3\/3 + r**2 - 11*r. Give 3*l(i) - 8*s(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/1)\/2)\/(13\/52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 772517596*n*t**3 - 144*t**3 - 355*t**2 + 2*t - 10 wrt n?\nAnswer: 772517596*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-10)\/75?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 13*k**2 + 2*k. Give f(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1276, 0.1, -0.063, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25440745 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.99 + -0.01. Let q be 30\/(-2)*3\/(-9). Which is the closest to -0.3? (a) 2 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -110*m - 5. Let a(n) = n**2 + 8*n. Determine f(a(y)).\nAnswer: -110*y**2 - 880*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k**2 - 12*k**4 - 6 + 7*k**2 + 7*k**2 + 4 to the form l*k**3 + o*k**4 + t + g*k + m*k**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 - -0.21. Let v = j + -3.3. Which is the nearest to -0.2? (a) 1 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235.6 times -1287?\nAnswer: -4164217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*j = 64*j + 8*j - 13374271. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 29 - 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 9c?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 - 2*u + 2. Let c be (26\/(-39))\/(2\/12). Let o be l(c). What is o rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 65*p + 173. Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (32 + -3 - (-3 + -1 - -7))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i. Let q(u) = -2012*u. Give q(r(z)).\nAnswer: 16096*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 20 = -19*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 73*w - 374. Determine u(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-73)\/(-6) - (1 - 3) and 41\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/36 and 59\/355612788.\nAnswer: 355612788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1586*d + 38169. What is o(24)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + (-6 - -4) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 558804151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y**2 + 55. What is a(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20237\/15 + 1349. Which is the second biggest value? (a) n (b) -2\/9 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97969, -97968, -97965, -97960, -97953, -97944?\nAnswer: -97933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/252 and 95\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3435*l - 53. Let a(p) = -1146*p + 20. Calculate -8*a(f) - 3*g(f).\nAnswer: -1137*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 665 + -325. Let x = 347 - v. Calculate the highest common factor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*b - 43, -48*u + 129 = -8564*b + 8567*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/7? (a) 1\/4 (b) -3\/5 (c) -25521 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.198 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t - 6. Let i(q) = 7*q - 2. Let m(s) = 17*i(s) - 6*z(s). Let u(l) = -5*l + 11. Let f(r) = 11*m(r) - 2*u(r). Let d(x) = -3*x + 0 + 0. Give d(f(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 11*i**2 + 59*i + 391. Let w be r(-6). Let d(k) = k**3 - k - 1. Let v(y) = -7*y**3 + 11*y + 8. What is w*v(z) + 6*d(z)?\nAnswer: -z**3 + 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*l**2 - 7129*l**3 + 7124*l**3 + 82*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7976 greater than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-2000) - (-68)\/(-400))\/(4\/400)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14885 - 14800. What is the nearest to h in -15, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(4290\/(-12)))\/((-3)\/(-15)). Let n(i) = i**3 - 6*i**2 - i + 7. Let d be n(6). Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 <= 0.108818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l**(-1\/26)*l*l))*l\/((l\/(l*l**(2\/7)))\/l)*l\/(l\/((l**(-17)*l)\/l))*l*(l*l\/l**(18\/7)*l*l*l)\/l assuming l is positive.\nAnswer: l**(-1697\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:45 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x + 55 - 55)*(-19*x**2 + 2*x - x + 14*x**2).\nAnswer: 55*x**3 - 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 102\/10133?\nAnswer: 102\/10133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, -22154, 1.\nAnswer: -22154, -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.4. Let t(r) = r**3 + 6*r**2 + 3*r - 8. Let j be t(-5). Let m be ((-4)\/(-32) - 0)*j. Which is the closest to m? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5278 divided by -29760.\nAnswer: 2639\/14880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14669988797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:56 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n**3 + 248*n**2 + 180*n + 36 = 0. What is n?\nAnswer: -3, -1\/2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4839*r + 4897*r - 1914 = 0 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30)*(-75)\/((-105)\/7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (5 + 121 + 7 + 12 - 0)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -1) + (-1 - -2) - (-329 + 322).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**3\/3 + 7*d**2\/2 - 12*d + 13. Let z be v(6). Let c be 1*z\/(-15)*-1. Are c and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = r - 4*b + 48, r = -3*b + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - n - 3*n)*(22*n + 6*n - 6*n) + 3*n**2 - 2 + 2.\nAnswer: -173*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3. Let p(v) = -5*v**3 - v**2 + 3*v + 1. Let b(k) = -4*l(k) + p(k). Let r be b(-2). Let m = r + 52. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 8.5. Let n = 14.7 + -20.8. Let l = n + t. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 82.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2349695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1154091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + 74. Suppose -5*x = 2*z - 580, 24*z + 4*x - 1136 = 20*z. What is the greatest common factor of z and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*i = 2*i, 4*i = 16. List the prime factors of -2*1\/(k\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115500, -115558, -115618, -115680, -115744, -115810, -115878?\n\"Answer: -o**2 - 55*o - 115444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -481.60099725 take away 5?\nAnswer: -486.60099725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - d - 1\/4*d**2.\nAnswer: -(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029696266.\nAnswer: 2, 3, 13, 17, 1530691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*i - 2*u, 3*u + 8 = 2*i + 2*u. Suppose 5*k = 4*k + 13. Solve p = 2*s - k, p - 18 = -i*s + 3*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 - -95. Let w(m) = m**3 + 34*m**2 - 37*m - 34. List the prime factors of w(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82823780, -331295130, -745414048, -1325180534, -2070594588?\n\"Answer: -82823784*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qllvllwkwwl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 356 (base 15) to base 10\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3605 and 8899715?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -0.042\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - r + 16 - 45 + 15.\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 8 - -5 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199568 and 87536?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 + 3*z**2 + 14*z. Let d(c) = -2*c**3 + 2*c**2 + 9*c. Let m = -4 + 12. Calculate m*d(l) - 5*h(l).\nAnswer: -l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.38429?\nAnswer: -0.58429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*y + 5*u - 2*u, -4*y + 64 = 4*u. Suppose -y = -4*r + 4. Calculate the least common multiple of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Suppose 2*a = -4*t + 174, m*t + a - 131 = 2*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1648850907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*g**2*r**2 - 36*b*g*r**2 + 2*b*g*r + 2*b*r - g**2*r - 4*r wrt r?\nAnswer: 6*b*g**2 - 72*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 3*q)*(-8 + 3 + 8)*(-q + 1 - 1).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.039?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 + 4*k**3 + 6*k**2 + 9*k - 1. Let p be o(13). Let q = -7 - -7.3. Which is the biggest value? (a) p (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91666.28 decades to centuries.\nAnswer: 9166.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377807 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/160 and 93\/28.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnnhhlnnhh. Give prob of sequence ll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30896092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-90)\/(-18))*97\/(-4268)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 4762370158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 12*f**2 + 15*f + 14. Does 10 divide r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 16, 36, 74, 136, 228, 356?\n\"Answer: k**3 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145800 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let o be (-1)\/(8\/28*(-14)\/(-12)). Let s be o\/(-9)*(-10)\/(-5). Put j, s, 1 in descending order.\nAnswer: 1, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -218027 + 379227. What is o rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = 2*t - 244, -2*z = 0. What is the remainder when t is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 380069, 1516699, 3411083, 6063221, 9473113, 13640759?\n\"Answer: 378877*g**2 - g + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11351 - 238316\/21. Find the common denominator of f and -169\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.5. Let g = -868 + 867.97. Sort g, d, -3\/5 in ascending order.\nAnswer: -3\/5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 10:32 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-293 - -292)\/(13\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:47 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*w - 78*w + 33*w**2 + 13*w**2)*(3*w**2 + 0*w**2 - w**2).\nAnswer: 92*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/210 - d**6\/30 + 11*d**5\/60 - d**2 - 9*d. What is the third derivative of a(s) wrt s?\nAnswer: 24*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = -3*x - 83, -x = 2*d + 37. Let h = -12.5 - -12. Which is the second smallest value? (a) x (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6115510146 to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -3351?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4, -4*y + 5*z - 4 = z. Let x(w) = w - 6. Let u(f) = f - 1. Let d(g) = y*u(g) + x(g). Give d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + 3 + 6 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 12*z - 11. Let x be m(-8). What is the remainder when x\/14 + 69\/2 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3008777 is divided by 1343?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12949 and 259150722.\nAnswer: 259150722.12949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-8) - 819\/(-28). Suppose r - 27 = m. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.306980181 to 3 dps.\nAnswer: 0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -163, -151, -105, -7, 161, 417, 779, 1265?\n\"Answer: 3*a**3 - a**2 - 6*a - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/32 and ((-6)\/(-15))\/(7\/(7525\/(-60))).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11865323123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 3*l)*(84 - 23 - 42).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3020725 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/5 - 75*p**2 + 11904*p\/5 - 11532\/5 = 0. What is p?\nAnswer: 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let n(j) = -2*j**2 - 4*j - 4. Let u(c) = -5*c**2 - 11*c - 11. Let i(p) = -11*n(p) + 4*u(p). Give i(y(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*q - 4*q. What is the remainder when q is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/33)\/((-5)\/(-55)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m**2 - 13*m - 2 + 6*m + 4*m - m**3 - 3. What is the units digit of r(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 9) + -18 - (16 + (-11 - (-2 + 6))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -382, -774, -1168, -1564, -1962?\n\"Answer: -k**2 - 389*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(24\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*(-4)\/(72\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 179, 352, 483, 554, 547, 444?\n\"Answer: -3*v**3 - 3*v**2 + 203*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703 take away 77418?\nAnswer: -74715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*21084\/(-63). Let v = -260 + i. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(2880) - (-2*sqrt(2880))**2*-4)).\nAnswer: 24*sqrt(5) + 46084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Solve u**4 + 0*u**4 + 2*u**4 + u**2 + 2*u**v + u**3 + u**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156239 is divided by 297.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(6 + (-657)\/108). Let h be z + -27 - 2\/4*0. Calculate the highest common divisor of 150 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (36\/3 - -16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31*-169407\nAnswer: 52516.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 7*s - 3. Let t be g(6). Let o = -6897 + 6893. Let x be 4\/t*((-10)\/4 - o). Solve 2*n = v - 7, -4 - 17 = 3*n + x*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 6647330\nAnswer: 19941990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*m + 3, 8*i - 12*i - 18 = -m. Let u(g) = g**3 + 5*g**2 - 12. Determine u(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p + 4. Let m be (32\/(-6))\/(6\/(-9)). Let h = -12 + m. Let s = h - -9. Give u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = x + 432. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -408 + 170 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237756.\nAnswer: 2, 29, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:18 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 4*s + 5. Let a be (5\/10)\/(1\/6). Let j(v) = a - 2 + v + 0 + 0. Determine -5*j(y) + o(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (116652*v**2 - 116652*v**2 - 55*v**4)*(4 - 1 + 0) + v**4 + 0*v**4 - 4*v**4 in the form u*v + r*v**3 + c*v**4 + h*v**2 + f and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(1\/13)\/c*c)*c)\/(c*c\/(c**(-3\/10)*c)))**(-2\/15)*(c**(-2\/17)*c)\/c*c\/c**(-1\/6)*c*c**(2\/5)\/c**0 assuming c is positive.\nAnswer: c**(74011\/33150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0.13. Let h = o - 0.100028. Round h to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*p + 1661 + 47, -4*d + 2260 = -2*p. Suppose 4*m - 5*n - d = -0*n, 282 = 2*m - 3*n. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (68\/10)\/(-10 - 104\/(-10)). Solve -2*c + 3 = u, -z*u - 13 = -5*c - 14*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-10)\/(-5) - (-36)\/(-4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/20 + 13*h**4\/6 + 7*h**3\/6 + 73*h**2\/2 - 25*h + 1. Is j(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omsmmsm. Give prob of picking 1 m and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18.7 and 0.01656498?\nAnswer: 18.71656498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -w + 3*h, 2*h - 6 = -w + h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 3*t. Let f(v) = v**3 + 4*v**2 - 7*v - 2. Let w be f(t). Suppose -w*o + 4*o = -596. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*6.857.\nAnswer: -212.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -35703, 144, 3 in increasing order.\nAnswer: -35703, -7, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*r, 5*o + 13 = -r - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29086057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 57445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307 - 302. Let n(p) = p**3 - 4*p**2 + 2*p - 22. Let x be n(u). Solve -3*c - x = 4*r, 0 = -4*r - c - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 11*u - 3. Let a be m(-5). Solve 2*y = -5*c + 1, 3 + 2 = c - a*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7009.02 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-45 - (-70 + 48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-385)\/(-616))\/(2\/4*-1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -21*y + 149. Let u be o(7). Let r(j) = 23*j**3 - 5*j**2 - j + 3. Calculate the remainder when r(u) is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159187257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*t = 35, -40 = 439*k - 441*k - 5*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from mxkxoo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -34329\/85 at most -404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632875?\nAnswer: 5, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1137 times 1256\nAnswer: 1428072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/832*(2\/8)\/((-53)\/16 + 1)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958983313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (3 - -1) + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) + 16\/20 - -1. What is the derivative of -38 - 1229*c + o*c**3 + 1229*c - 24*c**2 wrt c?\nAnswer: 6*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2242054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-3)\/4 + -1*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1965329, 1965276, 1965187, 1965062, 1964901?\n\"Answer: -18*x**2 + x + 1965346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 3 = 0. What are the prime factors of (6 - 5) + (10 - q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.8 and -3?\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-15)*t)\/t)\/(t**(-18)*t)*t**(3\/4)*t*t**(2\/7) assuming t is positive.\nAnswer: t**(113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 + 0.69. Sort h, -1\/4, -1\/5 in decreasing order.\nAnswer: h, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3548 - -28471\/8. Let l(s) = -s**3 + 36*s**2 + 40*s - 120. Let m be l(37). Calculate the common denominator of 100\/4*(1 - m\/(-6)) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 17?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1366, 1351, 1336?\n\"Answer: -15*h + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 16*r**2 + 3*r - 47. Let k be z(16). Let j be ((k\/2)\/((-66)\/(-44)))\/59. Are j and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3247, 6509, 9783, 13069, 16367?\nAnswer: 19677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -18.048. Let q = -28.048 + t. Is -2\/7 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*h - 114*h - 137*h**2 + 349*h - 121*h + 832*h**2.\nAnswer: 695*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -58 - 168 - 2*u + 268 - 53. What is h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7131 (base 8) to base 3.\nAnswer: -12001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 20938476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nynyyynnyyynynny. What is prob of sequence ynyn?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101682406 divided by -14526058.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 7*c - 1. Calculate the smallest common multiple of h(-6) and ((-4)\/(-6))\/(4\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*j + q - 0*q, -4*j + 12*q = j - 20*q - 50 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 2*j**2 - 21*j + 3\/5*j**3 + 0 - 1\/30*j**4. Find o, given that p(o) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69609*z**3 + 32819*z**2.\nAnswer: 417654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 3*c)*(5*c + 0*c + 17*c)*(2*c - 3*c - c).\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 60*q - 10. Let i(a) = -24*a - 28*a + 40*a + 3 - 8*a. Give 3*f(l) + 10*i(l).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -18, -2, 77 in ascending order.\nAnswer: -18, -2, 0, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -5 (c) -22 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 584212456805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 340692 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2611049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + (-360)\/99)*(-22)\/(-12). Let i be ((-28)\/63)\/((-2)\/3). Suppose 4\/3*y**2 - z*y - 4\/3 + i*y**3 = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + f = -7, 4*f - 5 = -5*l - 15. Suppose 2*c = z + 26, 6*c + l*z - 83 = c. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 672\/(-5) - 4\/(-10). Let y be (-2)\/(-8) + 3788\/16 + -18. Let w = z + y. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/15 and 11\/37208.\nAnswer: 558120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17*h - 4. Let r = 0 + 3. Calculate the common denominator of 67\/12 and j(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 209 = -3*l. Let v(p) = -36*p - 287. Let x be v(-8). Suppose -6*b + x = -l. Calculate the highest common factor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.015 - -35.985. Let y = x + -36.6. Let t = 6\/11 - -2\/77. Which is the biggest value? (a) t (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*j + 3, -539*j + 535*j = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/180 + 7*x**4\/36 - 13*x**3\/18 - 19*x**2. Factor v(u).\nAnswer: -(u - 13)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-20))\/k)\/(k*k**5\/k) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aapaaaada.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*w - 5 = 0, -n + 5 = -6*n + 5*w. Suppose s + n*s - 63400 = 0. Round s to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(-3)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2600, 4811, 6620, 8027, 9032?\n\"Answer: -201*b**2 + 2814*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84767.14 rounded to the nearest ten?\nAnswer: -84770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 66*b. Let c(k) = 89*k. Let m(p) = 3*c(p) - 4*j(p). Let u(f) = -19*f + 0*f**2 - f**2 + 2*f. What is m(u(q))?\nAnswer: -3*q**2 - 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152107452 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 14. Let t(h) be the third derivative of 13*h**3\/6 - 17*h**2. Let a(b) = -5*m(b) - 6*t(b). Differentiate a(l) with respect to l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 77*k**2 - 305*k - 304.\nAnswer: -(k + 2)**2*(k + 304)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 6*k - 1. Let x be o(5). Suppose -5*g + 12*g = x. Suppose g = -9*t + 10*t. Solve 0 = 5*v - 2*n - t, -1 + 6 = v - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017275 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o + 1. Suppose -4*p = -2 + 6. Let s be m(p). Is (62 + 0)*(-3)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**2 - 53*a**2 - 50*a**2 + 255*a**2 - 52*a**2 - 53*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, -5, -4\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 585.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:55 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 584387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13139 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 39*o**4\/2 + o**3\/3 - 3*o**2\/2 + 4*o + 5. Let j be x(4). Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111215954 is divided by 1761.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*h + 45902 = 92*h for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1923553 - -158653. What is f rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 + 174. What are the prime factors of 2 + t - (-288 + 7 + -4)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -46?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z + 1. Let t(k) = -5*k**2 + 8*k + 6. Let q be 21\/(-15) - (-8)\/20. What is q*t(o) + 6*j(o)?\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -565.2 - -514. Let n = o - -51. Let s = -6 + 11. Put s, n, 1\/2 in increasing order.\nAnswer: n, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441627 is divided by 3177?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 4*b - 6. Let d be r(-6). Let a = -13 + d. Suppose 0 = 2*f - a*f + 12. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/r**10)\/r))\/r)\/(r*r**(-1\/7)*r) assuming r is positive.\nAnswer: r**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.31561ms to days.\nAnswer: 0.000002735134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1716 and 21650967.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-144))\/(6\/(-468)*13*4\/(-90))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445 - -44455?\nAnswer: 45344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/932040 and 109\/1440?\nAnswer: 3728160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 1. What is the remainder when 53 is divided by r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/360 - 17*y**5\/180 + 79*y**4\/72 - 7*y**3\/2 - 4*y**2 + 199*y + 1. Suppose j(r) = 0. Calculate r.\nAnswer: 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*0\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -43 (b) 5 (c) -3 (d) -175.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**3*p**2*x + 2*l*p*x**2 - 219*p**2*x**2 - 2*p*x wrt l.\nAnswer: -12*l**2*p**2*x + 2*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q. Let m be d(1). Let v(y) = 5*y**2 + y. Let o(s) = -11*s**2 - 2*s. Suppose 4*z - 2 = -5*c + 1, 4*z + 27 = 5*c. What is m*v(t) + z*o(t)?\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 111*g + 23*g + 169*g + 102*g + 66 wrt g.\nAnswer: 405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*j + 34*j + 73 + 18*j + 24*j + 22*j + 21*j.\nAnswer: -j + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -36 + 73 + (-55)\/(-19)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 5*d - 5*k + 17 = 0, 3*d - 33 = 3*k. Let b(t) = -7*t**2 - 6*t**2 + 25*t**2 - d*t**2. Let u(g) = -3*g - 2*g + 2*g. What is b(u(n))?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4901 is divided by 170?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 47*m - 142. What is the remainder when 1198 is divided by l(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/76 and -79\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25777423?\nAnswer: 7, 17, 216617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-20) - -2)\/(84\/96).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 + -2.2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1723 and 25.80464492.\nAnswer: -1697.19535508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 52. Suppose 3*d = -d + 40. Let y = d - b. What is the remainder when 36 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*z + 9 + 3, 4*t + 4*z = -0*z + 40 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88050000 rounded to the nearest 1000000?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*o = 519, o - 255 = -2*r + 2*o. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 50. Suppose 20680000 = 4*d - 5*v, 2*d + 10340000 = h*d + 2*v. Round d to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 4. Let r(n) = -n - 1. Let x(l) = 2*r(l) + w(l). Let p = 19 + -13. Give x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/6 + 59*r. Let w(p) = 144 - 144 + 66*p**2. Determine j(w(a)).\nAnswer: 8712*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r - 216. Let j = 19 - r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1369*w + 15*w**2 + 2 + 1369*w - 508*w**2)*(-3*w**2 + 0*w**2 - 2*w**2).\nAnswer: 2465*w**4 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {b: 1, a: 1, g: 1, s: 1, f: 2, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(28\/126).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, s: 2}. Give prob of picking 2 r and 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1.940369.\nAnswer: 13.582583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - (-3 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 + 6*x. Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/467 and 17\/5.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 17004*n - 36142002.\nAnswer: -2*(n - 4251)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 37*z - 60. Give v(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q - 3. Suppose -5*o + n + 4 = -24, 0 = -4*o - n + 17. Suppose -o = 10*p + 15. Calculate j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1 - sqrt(11))**2 + (2*sqrt(66))\/sqrt(6).\nAnswer: -14*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 29, 3, -28, -1 in decreasing order.\nAnswer: 29, 3, 1, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 - 330. What is the smallest common multiple of x and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804 and 402.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373677?\nAnswer: 3, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*j = -71, 0*c - 355 = -5*c + 4*j. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1219823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 - (1 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:35 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*((-4)\/(-6) - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648*f**3 + 1449*f**3 - 13*f**3.\nAnswer: -212*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8581 to the nearest one hundred.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12620911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1*168\/24)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348785\/214326 + -100\/2187. Let q = -4\/49 + m. Which is the biggest value? (a) -10 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/((-6)\/153). Let k(t) = -t**3 + 2*t**2 + 11*t + 32. Let z be k(-3). Let f = z - q. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-131)\/(-131) - (-2 - 645)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1354*q + 1618.\nAnswer: 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33833.13044888212 + 0.13960911788. Let t = 33833 - u. Let c = -0.27 - t. Round c to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + 163\/5. Suppose -g - 3*r - 91 = -6*g, 2*r = -14. What is the second derivative of g*s - 29*s**2 - i*s + 10*s wrt s?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -9*u**2\/2 + 7*u + 7. Let q be h(0). Let t(z) = -5*z**3 + 5*z - 5. Let s(g) = 9*g**3 - 9*g + 9. Calculate q*t(v) + 4*s(v).\nAnswer: v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/9, 12, 0.3, 0.03, -5, 0.06888?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171373196 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485240 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d**7\/7 - 6*d**5 + 9*d**3 - 2*d**2 - 221. Find the third derivative of v(b) wrt b.\nAnswer: 240*b**3 - 720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5492 = -2*c. Suppose 2*s = -3*q + 2387, 465 + c = 4*q - 3*s. Let i = 1320 - q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 0, -2*d + 40 = -4*p + 2*d. Let k be (-2)\/p - 2\/7. Let l(f) = -f**2 + f + 44. Let i be l(-7). Put -3, i, 0.1, k in decreasing order.\nAnswer: 0.1, k, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-10)*(-40)\/(-24). Suppose 9*d + 42 = q. Let k be -1*1 - (-15)\/12. Which is the closest to k? (a) -0.4 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -270 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11113041 (base 5) to base 3.\nAnswer: 11222021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*w + 434. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*(-4)\/28)\/(((-506)\/385)\/23).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = -0*o. Suppose -22*i + 4 = -o*i. Solve 14 = 4*n + i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0.25, -3\/4, -243\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.932 - -35.79. Let l = s + 0.142. Let o = -107.5 - l. Do o and -3\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let m = 15 + -9. Let k = 5 - m. Which is the nearest to k? (a) -3 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.103418718 to 4 dps.\nAnswer: -0.1034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + a = -4*j + 4*a - 12, -13854*j = -13856*j - 14*a + 56 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 3. Let d be q(-7). Suppose -d + 9 = -z. What are the prime factors of (9\/z)\/(4\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 84*x + 765 - 63. Let n(i) = 3*i + 41. Determine n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 54 = -19*p. Calculate the lowest common multiple of 81 and p.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*f + 35*f**2 - 136*f - 103*f wrt f?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d = -99*d + 4320. Solve 0 = 57*z - 53*z + d for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 15*h**2 + (-h**2 + 0*h**2 - 2*h**2)*(0 - 5 + 3) + 2 + 4*h - 22*h**2 + 21*h**2 - 4.\nAnswer: 20*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5*n - 650 + 670, 3*n + 12 = -q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/333 and 46\/90539?\nAnswer: 814851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose -w*m - 6 = -2*a, 0*a - 3*a + 64 = 5*m. Calculate the greatest common divisor of a and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6649\/17 - 391. Let s be 1 - ((-3)\/6)\/((-1)\/2). Let j be 12\/(-8)*(4\/(-21) - s). Which is the third biggest value? (a) -2\/7 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 19340555.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 41*n = 446168. Let s be (-6)\/(-15) - (-242416)\/10. Let c = s + n. Round c to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*w - 95, 3*f + 51 = -4*w - 91. Let g = 67 + f. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 11, g: 7}. What is prob of picking 1 j and 3 g?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvnl when four letters picked without replacement from {v: 1, t: 2, k: 2, l: 1, z: 1, n: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(-4)*1\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 360*a**2 - 805*a + 4*a**3 + 400*a - 2*a**3 + 2*a**4 + 406*a to the form m*a + n*a**3 + q*a**4 + d*a**2 + g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -253*h**2 - 3. Let u(v) = 9*v**2. Let n(y) = -l(y) + 2*u(y). Suppose -4*p + p - 6 = 0. Is n(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13985, 14390, 14795, 15200?\n\"Answer: 405*c + 13580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 20 - 55 - 115 - 13*l + 41*l - 74. Let f be r(8). Solve 0*s - 9*s - 27 = f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -115*z**2 + 4*z + 2. Let a(y) = 11*y. What is a(b(x))?\nAnswer: -1265*x**2 + 44*x + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.5. Suppose -3*o + 15 = 0, -3*o + 40 = -7*m + 12*m. Which is the second biggest value? (a) y (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**2*t + 3*p**2*v**2 - p**2*v + 1125*p**2 - 442914*t*v**2 wrt v.\nAnswer: 6*p**2 - 885828*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -79373.6 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -9\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 859395.8g?\nAnswer: 859395800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130 - 230?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 72 = 4*g, 5*s = -2*g - g - 50. Let n be 10\/4*(-1 - 36\/g). Solve -n*b = b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from vvmemvkke.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 17. Suppose z = -0*y + 2*y. Solve 5 = -n - l, l = 4*n - 3*l + y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-7))\/(7\/(98\/3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 597 + 663 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + p + 380 = -p, -1160 = 3*r + p. Let i = -142 - r. List the prime factors of i.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20682, -20644, -20568, -20436, -20230?\nAnswer: -19932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51.8, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306 - 306 + 9*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2676562 and 5\/1804.\nAnswer: 58884364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/8 + 1*3)\/((-84)\/(-16))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = -a - 2*a, 5*d + 13 = -3*a. Which is smaller: -4\/17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(5\/2)*w**14)\/((w\/(w**(-9)*w*w*w))\/w**(-1\/4)) assuming w is positive.\nAnswer: w**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z = 44*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s + 5. Let b(p) be the first derivative of 7*p**2\/2 - 2*p + 26. Suppose 391 = 5*a - 229. Let c = a + -118. Determine c*f(w) + 17*b(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 343143?\nAnswer: 343210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -270 - 63\/2*k - 3\/4*k**2.\nAnswer: -3*(k + 12)*(k + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*o + 12, -3*o - 2*h = 4 - 14. Suppose 7*c - o*c = 135. Calculate the remainder when 131 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -113, -159, -201, -239?\n\"Answer: 2*n**2 - 56*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qqsxqsyqx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 9*h - 6. Suppose 4 = 6*p - 4*p. Let u = 24 - p. Calculate the remainder when u is divided by o(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -55*a**2. Let u(j) = -2965335*j**2. Calculate u(p(w)).\nAnswer: -8970138375*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*u + 15 = -211*u. Solve -2*o + 18 = 2*w - 0*w, -u*w = -5*o + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose j + o*j = 20. Solve k + 1 = j*w - 3*w, -3*w + 2 = -k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-350002)\/5 - 2\/(-5). Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (52\/(-8) + 5)\/((-39)\/(-130)). Let j(x) = 2*x**3 + 12*x**2 + 10*x + 3. Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.403 nanograms in grams?\nAnswer: 0.000000195403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19559831 is divided by 808.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 - j**2 - 1. Let m be l(2). Suppose -m = -10*s + 5*s. Solve f - 1 = 3*n, -3*n = -f + 2*f - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -55*i - 390 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.03447 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 2:14 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 != -2287\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 + -153 + -6 + 35\/(-40).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95459 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7 + 0*r + 4*r - 2*r. Let z be 4\/22 + 62\/22. Let m(h) = 3*h - 13. Let c(n) = z*m(n) - 5*y(n). Let b(j) = -j - 5. Calculate -5*b(d) + 6*c(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -569\/516 - -25690099\/2580. Let v = 9944 - s. Calculate the common denominator of -59\/22 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let r(i) = -4093*i**2. Give t(r(h)).\nAnswer: -12279*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 169426 greater than 169459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*y**3 + 12*y + 1 + 25*y - 15*y**3 + 0 wrt y?\nAnswer: -534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 41*z + 340. Let w be x(-48). Solve 3*f - 5 = w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -19. Suppose 0*n + 10 = i*n, -8340015 = 3*r - 3*n. What is r rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.0799268 rounded to one dp?\nAnswer: -34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1403435205?\nAnswer: -1403435214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -57.4 (c) 374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*c = -79*c. Let u(o) be the second derivative of 0*o**2 - 5\/3*o**3 - 7*o + c*o**4 - 1\/4*o**5 + 0. Find the second derivative of u(p) wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:19 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (7 - 2) - (102 - 113)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 7, i: 4}. What is prob of sequence idd?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2. Let k(h) = 1361251*h. Calculate a(k(x)).\nAnswer: 9265021425005*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 1. Let g = 1840 - 1841. Let c(y) be the first derivative of y**2\/2 + 3*y - 1. Calculate g*s(m) + c(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31221 (base 5) to base 15\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p**3 - 1\/560*p**7 + 0*p + 29*p**2 - 2 - 5\/16*p**4 + 1\/10*p**5 - 1\/320*p**6. Let b(x) = 0. What is x?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2, 5, -2\/7, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-6 - (-6 - -2)) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -4*b + 311. Suppose -90 - b = -2*j. Let o = 205 - j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 9*s = 3*x - 79, -344 = -18*x - 4*s for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 383529.838789247?\nAnswer: 383529.638789247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*j + 256, 4 = 3*j - 8. Let o = s - -671\/10. Which is the second smallest value? (a) -1\/6 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 109 (b) -6 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67422344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 - 329 = -161*b + 1518 + 2956 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907463 is divided by 34665.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158904 - -40679485\/256. Let t = -3\/256 - o. What is the third smallest value in t, -244, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 14*v**2 - 24*v + 20. What is i(7)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 10388\/11 and 943 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33149849\/216 - -153471. Calculate the common denominator of d and -77\/576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 78 = -25*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1143.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2874850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - z)*(136 + 162 - 66 + 2 - 5 + 0 + (6 - 3 - 2)*(-1 + 1 + 2) - 3 + 7 - 3).\nAnswer: -232*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3344\/66 + -48 + 14\/24\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202960 and 16168.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thbgwwdh. What is prob of picking 1 d, 1 h, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 8*b - 7. Let t(g) = -g**2 - 4*g - 1. Let d be t(-5). Let i be m(d). Solve 5*f + 8 = -4*v, f = i*f + 2*v + 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1002722.1636 - 1002976. Let i = d + 3.4264. Let p = i + 252. What is p rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 19755\/406?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 24*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)*u*u*u*u**6*u)\/(u**(-2\/11)*u*u*u*u**(-3\/4)))\/(u**8*u*u**5)**49 assuming u is positive.\nAnswer: u**(-208933\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -436\/3. Let j = 20 + s. Factor 1\/6*d**4 + 1\/3*d**3 - j*d**2 + 1\/2 - 1\/3*d.\nAnswer: (d - 1)**2*(d + 1)*(d + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -25137616\nAnswer: 377064240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -4960\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.32 and 2347.5?\nAnswer: 2335.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 15622*h + 15620.\nAnswer: 2*(h + 1)*(h + 7810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 120*r - 1598. Determine b(19).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8193 - 9339*b + 135*b + 4905*b with respect to b.\nAnswer: -4299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 201*i - 3451 + 1719 + 1727 + (2*i**2 + 0*i**2 - 3*i**2)*(3 - 6 + 2) + (0*i + i + i)*(i + 3 - 3) in the form y*i**2 + s + m*i and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1075321.862 and 5?\nAnswer: 1075326.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8800 and 89\/7040.\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12)*4 + 0. Let o(g) = 2*g - 4 + 5 - w. Let y(h) = 38 + 2*h - 38. Calculate o(y(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -9\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/5))\/((n**0*n)\/n)*n**(-2\/3)\/(n*n\/((n*n**(2\/3)\/n)\/n))*(n\/n**(-2\/3))**(1\/27)\/(((n\/(n\/n**3*n))\/n*n*n)\/n**1) assuming n is positive.\nAnswer: n**(-1352\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828 is divided by 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 235, 496, 801, 1114, 1399?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/((5\/(-470))\/((-2)\/4)). Suppose -u = -2*o - x, 0*o + 2103 = 5*u - 4*o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {s: 4, d: 1, l: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*(-765)\/(-30)*22\/1188*-18?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*u = -690*u - 4*q + 11, 2*q = -2*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 20*q**3 - 15*q**2 - 8*q + 96. Give p(2).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1373 (b) -2 (c) 3 (d) 19\/712\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 20560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14748, -29502, -44256?\nAnswer: -59010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14040166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2919024384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 1, x: 2, e: 6, s: 1, o: 4}. What is prob of sequence eexv?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*f = 2, -7 = -5*p + 7*f - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116*(-6)\/(-4)*(-51)\/(-102) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let i = -6 + 6.4. Which is the third biggest value? (a) i (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssysssss. Give prob of picking 2 s and 1 y.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -870 - -2020. What are the prime factors of o?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 v when three letters picked without replacement from ppvru?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*w = -0*w + 45, w = 3*f - 36. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3289 plus 2.85362?\nAnswer: -3286.14638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/21 - (-5466)\/21 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1660c1a (base 13) to base 4\nAnswer: -123210221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + 3 + (6 - (2 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x\/(x*x\/x**9))*x)\/x))\/x)**(-1\/8)\/((x*x*x\/(x\/(x\/x**(-11)))*x*x)\/x*x**(2\/13)) assuming x is positive.\nAnswer: x**(-210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3c1 + 5?\nAnswer: c3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**3*u**2 + 171*l**3*u - 258*l**3 - 2*l**2*u**2 - 4*l**2*u + 279*l**2 + 123*l*u**2 + 2*u**2 wrt l.\nAnswer: -18*u**2 + 1026*u - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 + 43279403.806?\nAnswer: 43279408.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611182200 rounded to the nearest 1000000?\nAnswer: 611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -15*s + 27. Suppose -20 + 137 = s*n - 4*v, n = -5*v + 39. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 176*m - 4. Let x(y) = y**3 + 2. Calculate -l(w) - 2*x(w).\nAnswer: -3*w**3 - 176*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201 + 11?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 3*z - 4. Let g be y(7). Let n = g - -39. Calculate the remainder when 12 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -21. Suppose v*n = -5, 3*k - k - 5*n = 5005. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*s - 0*s + 396, -4*l + 401 = -s. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 257339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.169 - -1.831. What is the nearest to -56 in k, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1100 and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))\/((b**(-2\/7)*b)\/b) assuming b is positive.\nAnswer: b**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 2*f**2 + f - 9. Let q(z) = 7*z**3 - 3*z**2 - 2*z + 17. Let g(l) = 3*q(l) + 5*u(l). Suppose -3*y + 3*y = 9*y. Determine g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36726815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051313 rounded to 6 decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.041*-4\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 6, -2*b = 5*c + 55 + 6. Is (-180 + c)*(-2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 1\/84*v**4 - 1\/147*v**7 + 0 + 0*v - 1\/294*v**8 + 0*v**3 - 8*v**2 + 1\/140*v**6 + 1\/42*v**5. Solve y(t) = 0 for t.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234003, -470322, -706641, -942960?\n\"Answer: -236319*b + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c + 8*c**2 + 2*c + 7 + c**3 - c - c. What are the prime factors of k(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((-48)\/(-15))\/((-192)\/(-1440)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27095 divided by -71?\nAnswer: -27095\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11482 - 11478. Which is the third biggest value? (a) -0.5 (b) y (c) 0.04 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1352\/110864)\/(6\/(-8))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 337709791 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let q = -0.33 - -0.03. Let b = q - -0.8. What is the nearest to 0 in i, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -605 - -620. Suppose -1 - c = u + 5*q, 4*u - 3*q - 5 = 0. Is -2\/395 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108932 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-4 - -3)*2. Suppose 0*m = -t*m + 1102. What is the remainder when m\/7 - (-2)\/7 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeeryetototh. What is prob of sequence eey?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054*d**3 - 367*d**3 - 386*d**3.\nAnswer: 301*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -380, 340018, 4 in decreasing order.\nAnswer: 340018, 4, -1\/5, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, -4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.4 and 15?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) 11\/2 (c) 0.01 (d) 0.1 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100 + 110110001100101?\nAnswer: 110101111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 48823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1076\/65 + -82\/5. Let a = 6 + -10.4. Let q = 4 + a. What is the nearest to -0.1 in q, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.556247 rounded to 2 decimal places?\nAnswer: 41.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 39 = 2*r - 3*r, 4*r - 26 = -3*w. Let f = 327 + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 3*u**3 - 3*u**3 + (-u**2 + u**2 + u**2)*(3*u - 3*u + u) + 10*u**3 + 0*u**3 + 5*u**3 + 3*u**3 + 0*u**3 - 4*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6481842 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Suppose -2*v + 72 = 5*x, -3*v - 8*x + 7*x = -95. What is the remainder when v is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Calculate the remainder when 38 is divided by 1*14 - 0\/(-1 - v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3 - 3. Let s be -2*(-1)\/g*-4. Which is smaller: s or 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 48*r**4 + 187*r**3 - 572. Find the third derivative of t(d) wrt d.\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x + 598. Let n be h(-54). Let i(w) = w - 2. Let f be i(-3). What is the second biggest value in 6, n, 3, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*t**2 + 2 + 3*t**2 - 5 to r*t + z*t**2 + p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -244*r + 3084 + 4724 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -38953*z - 272672. Calculate w(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2220715 + 2220715 - 2134*x.\nAnswer: -2134*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.429*0.31.\nAnswer: 3.85299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/35 (b) 71 (c) 2 (d) 548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1413\/371 + 48\/53. Are z and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t**3 + 27*t**3 - 2*t + 15*t**3.\nAnswer: -112*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703020.4 hours to seconds.\nAnswer: 2530873440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m - 2*m - 3*m - 2*m + 3. Let j be a(2). Let s = 26 + j. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-8) + (1 - -1)*2. Let b(f) = 169 - 336 - 13*f**c + 167. Let z(k) = -7*k**2. Give -6*b(i) + 11*z(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-5) + -8 + (-213)\/(-15). Let h be (1554\/(-4))\/(-3)*36. Suppose -10 + 0 = 5*x, 0 = o*k - 5*x - h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8*v - 13*v = -22, 2*q - 5*v = -18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 8*r**2 - 228*r - 119. What is the hundreds digit of p(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*z + 6 + 12 = 0, 3*s = z + 16. Let u = 4 + s. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 6 + -7 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 - 7*r**2 - 2*r + 3. Let l(s) = -10*s**3 + 21*s**2 + 6*s - 10. Let b(t) = -t - 4. Let m be b(-2). Let a(w) = m*l(w) - 7*x(w). Is a(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79623, 17\/6, 4, -5 in descending order.\nAnswer: 4, 17\/6, -5, -79623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340*g**3*x**2 - 4944*g**3*x + 3*g**2*x**2 - 2974*g*x**2 + 419 wrt g?\nAnswer: 2040*x**2 - 29664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/((-1)\/(1\/2)). Suppose g = -4*i + 17, -g - i = i - a. Let p(k) = -k**3 - 8*k**2 - 6*k. Let d be p(-3). Sort g, 2, d, 4.\nAnswer: d, 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 721.3625 years?\nAnswer: 8656.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 9560, 7\/1181, -0.1, 3 in increasing order.\nAnswer: -0.1, 7\/1181, 1\/4, 3, 9560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -3. Let d = -312 + 243. Let k = d + j. Which is the third biggest value? (a) 0.5 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 2*s + 23, -17*g + 41 = -12*g - 4*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from hahshhhmws.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/4)\/((-46)\/(-69)). Which is the nearest to 0.1? (a) -0.3 (b) q (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11192.85842 to 0 dps.\nAnswer: 11193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 12*d**2 - 19*d - 5. What is k(11)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 2*x**2. Let y(k) = 3*k**2 + 134*k - 134*k. Let f be -4 - 5\/((-5)\/7). Give f*v(g) - 2*y(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12492929 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 68 - 63 - 3*b**2.\nAnswer: -3*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or -24?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472.78 - -477. Round g to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/(-112) + (-30)\/(-40). Which is bigger: l or -32?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471607 (base 8) in base 11?\nAnswer: aa773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 8*n - 5. Determine a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:17 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -386.9, 5, 2\/13, -5, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h + 5. Let s be n(2). Let a = 34 - s. Let l(c) = -8*c**2 + 9*c. Let y(o) = -4*o**2 + 4*o. Give a*y(p) - 4*l(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*((-52)\/(-12) - 3). Let h be v\/(-64)*(-8)\/18. Let n = -47 - -46.9. What is the smallest value in 0.3, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/42)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -5, -2\/9, -4, 9\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 981\/(-75) - 15\/90*24\/(-50).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2834559 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -54*4*(-2)\/(-40). Let u = 11 + a. Let c = 18\/19 + -272\/247. What is the closest to u in 5, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1335 + -927. Let x = r - 407.8. What is the smallest value in 2\/3, 17, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24035 and -23\/3591.\nAnswer: 4542615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 91*q - 442. Calculate g(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151240813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33048102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (5*sqrt(112)\/sqrt(4))**2 + -3.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*x + 83975, 2*y - 55995 = -2*x + x. What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95.7 + -3.3. Let n = d + 64. Let x = -38.4 - n. Round x to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 + -51?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/2 - -5)*((-43 - -6) + -7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -37. Let v be -1*3\/3*k\/(-4). Factor -3\/2*u**2 + v*u + 1\/2*u**3 - 1\/2.\nAnswer: (u - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43034, 86068, 129104, 172142, 215182, 258224?\n\"Answer: p**2 + 43031*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/13))\/z**26)\/(z**(-5\/6)*z)**(-1\/7) assuming z is positive.\nAnswer: z**(-13469\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 376364727*u**3 - 268884876?\nAnswer: 1129094181*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 65535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**4 - o**3 + o. Let g(c) = -9*c**5 - 4*c**4 - c**3 - 32*c**2 + 2*c - 1. Let w(j) = g(j) - 2*y(j). Find the third derivative of w(x) wrt x.\nAnswer: -540*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6990, 38864, 112000, 242772, 447554, 742720?\nAnswer: 1144644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18 - 5*(-48)\/(-270)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*sqrt(171)*-1 + sqrt(171)) + -3)**2 + 3*(sqrt(171) + sqrt(171) + -3*(sqrt(171) + 1)**2)*-6 + -2.\nAnswer: 342*sqrt(19) + 17674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 1\/60*m**6 + 0*m + 3 + 9*m**2 + 1\/5*m**5 + 0*m**3 - 7\/12*m**4. Factor c(y).\nAnswer: 2*y*(y - 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 4. Let t be d(7). Let k = 118 + -48. What is the greatest common divisor of k and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:01 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 + 16723920*f**3 - 73752638*f?\nAnswer: -20*f**3 + 100343520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 64 = -0*n. Suppose -m - n = -5*q, 5*m + 2 = 2*q - 32. Let p = -2 - m. Which is the nearest to 0? (a) 0 (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/(-8)*-2. Let b = 1.5 - 1.6. Let n = -0.04 - -2.04. What is the nearest to m in b, -3, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:29 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -25. Let o(b) = -2*b**2 + 24*b - 44. Let x be o(9). Let f = x + s. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 62\/5. Let t be -4*(3\/6 + -1). Suppose -4*r + 6 - 1 = 5*w, 0 = -w - t*r + 7. Which is the closest to -1? (a) w (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) 4 (c) 8 (d) 695\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-102 + 1)*15\/25. Let w = k - -60. What is the second biggest value in 2\/5, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111022021220012 + -12?\nAnswer: 11111022021220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 x, and 1 b when four letters picked without replacement from {x: 2, a: 1, w: 1, b: 1, h: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(-6))\/(8\/16))\/((-366)\/(-244))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 3, -94, -315, -702, -1297?\n\"Answer: -7*a**3 + a**2 + 31*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 1. What is the biggest value in 0.4, a, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*a - 37*a - 8*a**3 - 25*a**3 - 34*a.\nAnswer: -33*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/3)\/((-5)\/2). Let p(h) = -h**2 + 10*h - 14. Let u be p(d). Let y be (-4)\/((8\/18)\/(-2)). What is the highest common factor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 1 - 2 + j)*(-2*j + 3*j - 7*j) to the form l + z*j + f*j**2 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.1 (c) -2\/101 (d) -1\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/20 + 1\/(-4). Suppose d = 4*t + 3*y - 157, -2*t + 84 = -3*y - y. Is 14 a factor of 1064\/t - (-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693975?\nAnswer: 5, 67759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g - 15*g - g + 22.\nAnswer: -36*g + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 143*b + 2064. Give s(17).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8068972541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 2*j - 420. Let v = -7 - -11. Suppose m + 3*g = j, 8*m + v*g - 107 = 3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 1.7. Is 1\/5 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**7\/42 + k**6\/5 + 7*k**5\/10 - 4*k**4 - 13*k**3\/6 + 21*k**2 - 5363*k. Let b(u) = 0. What is u?\nAnswer: -3, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3*o**5 + 11*o**2 + 9. What is the second derivative of m(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 36*m**2 + 49*m - 50. What is z(-20)?\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.491557*-0.4.\nAnswer: -0.1966228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 451b?\nAnswer: 4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52925 is divided by 1927.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 4*o - 4. Suppose -d + t + 12 = 4, 0 = 4*t + 16. Let i be h(d). Let u = i - 2. Calculate the least common multiple of u and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**14\/d)*(d*d\/(((d*d*d\/d**(-2\/13))\/d)\/d))\/d assuming d is positive.\nAnswer: d**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 31 + 67)*(2 - 2 + s) - 37*s + 13*s + 20*s - 8.\nAnswer: 120*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**2 + 4*t + 32. Let n be w(9). Let b = 1578 + n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171510192 and 3146976.\nAnswer: 343020384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484 + 1882. What are the prime factors of v?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17667?\nAnswer: 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 268*v**5 + 16724*v**4 - 16724*v**4 + (-2 + 2 - v)*(v**4 - v**4 + 2*v**4) + v - 2*v**5 - v.\nAnswer: 264*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 8*v - 2. Let m be l(9). Suppose m*y = 2*y - 45. Let b = y - -10. Which is bigger: 1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314099.\nAnswer: 23, 100613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 4*x + 16. Let k = 0 - x. Solve 0 = k*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-1 + 21)*356*-2. Which is the nearest to -2? (a) y (b) -0.02 (c) 1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 531.1 + -203. Let h = -328 + o. Which is the nearest to h? (a) -17 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r + 5*r - 2*r - 7*r to c + f*r and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*j + 237*j - 145*j - 762*j - 375*j.\nAnswer: -1234*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 484217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 19 = j. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7722 by -2.\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t + 10*t = 85*t + 24288 for t.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - (-174)\/24. Let g be l*(36\/(-14) + 3). Find the second derivative of -10*h + 41*h**3 + 41*h**3 - 92*h**g wrt h.\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, g: 6, v: 1, d: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-15)\/(-12)*(-8)\/20. Which is greater: -4\/1777 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/39539240 and -121\/15207400.\nAnswer: 197696200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13c61 - -7?\nAnswer: 13c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236\/91 - -16\/7. Let z be -6 - (-9 - (-10)\/((-70)\/(-21))). Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55837 (base 10) to base 3\nAnswer: 2211121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 32. Solve -v - 5 = -a + 4*g, g + 4 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34534545 (base 7) to base 8.\nAnswer: 13446001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 255, 447, 639, 831, 1023?\n\"Answer: 192*c + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41512700399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m*m**(2\/9)*(m*m**(1\/6))**(-31))**11 assuming m is positive.\nAnswer: m**(-9295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 515*k + 163. Let b(y) = 516*y + 204. Determine -4*b(g) + 5*n(g).\nAnswer: 511*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18453 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20515 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-56))\/(2\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 7*k + 1. Let d(f) = 90*f + 265. Let g be d(-3). What is s(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:38 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(0 - 3). Let b = 10 - 6. Suppose -b*d = d. Sort p, -4\/5, d in ascending order.\nAnswer: -4\/5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 2}. Give prob of picking 1 k and 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59658803?\nAnswer: 19, 23, 136519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27894 = -15*m - 28794 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 1785?\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1056 - 1056.957. Let v = 0.043 - k. Which is the fourth biggest value? (a) -2\/25 (b) v (c) -1\/3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.6 + 66.6. Sort i, 0, -3, -0.2.\nAnswer: -3, i, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 5 - 2 - 8*b**2 + 7. Let r(v) be the first derivative of -v**2 - 1. What is l(r(y))?\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*u + 4, -2*u + 10 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5*10)\/(22\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 900227219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 870, 2897, 6274, 11001, 17078, 24505, 33282?\n\"Answer: 675*q**2 + 2*q + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57645 divided by -5?\nAnswer: -11529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2200*c**2 + 5*c + 6. Let f = -75 + 74. Is o(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 165*n + 533.\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.1051 + -5.05. Let q = 138.063 + -138. Let n = f - q. Round n to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 7\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 597 + -617. Is o at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*u + 802 = 0, -2*u + 4756 = 6*w + 2*u. List the prime factors of w.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 74*d. Let r(n) = -881*n. Determine m(r(c)).\nAnswer: -1552322*c**2 + 65194*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.2, -2, 2\/3, 497420?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100312113002 (base 4) in base 15?\nAnswer: 5c3ae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507095023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 + 25015*z**2 + 24980*z - 150060 = 0.\nAnswer: -5002, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccicoioc. Give prob of sequence ock.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Let m be p(-6). Let f(j) be the second derivative of j**4\/12 - 5*j**3\/6 - j**2\/2 - 75*j. What is the tens digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 220\/(-30)*(-6)\/4. Find the second derivative of -2*p + 5*p + 5*p**2 + n*p**2 - 20*p wrt p.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -39. Let w be (-4)\/8*v + 5. Let f(k) = -k - 10. Let y be f(-5). Sort y, w, -1, 1 in descending order.\nAnswer: w, 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 14. Solve 4*z = -v + 1, j*v + 0*z - z - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -47*j - 388. Give g(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.197469546 and 0.5.\nAnswer: 0.098734773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 11*38\/(-2). Let f(p) be the first derivative of 5*p**3\/3 + p**2 + 3*p + 4. Let r be f(-2). Calculate the greatest common divisor of r and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 7*b**4\/6 + 5*b**3\/6 - 2*b**2 - 26*b. Let j be o(-3). Let p = -89 + j. What is the smallest common multiple of 38 and p?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2289447, 4578932, 6868425, 9157926, 11447435, 13736952?\nAnswer: 16026477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:33 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-3)\/(-18))\/((-2)\/(-6))). Sort -6, r, 4 in decreasing order.\nAnswer: 4, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Let l(v) = 8*v**2 + 5*v - 5. Let z(o) = 6 + 1 - 7*o**2 - 4*o + 0 - 3. Let b(w) = 4*l(w) + 5*z(w). Calculate q(b(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 0. Suppose -3*d + 8 + 1 = g. Calculate the remainder when d + (-3 - 0) + 3 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 661316859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1121301 - 652.37\nAnswer: -1121953.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 484639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38640 and 96?\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -13546529\nAnswer: -2709305.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 6*t + 2576 = 0. Let z be (33\/(-22))\/(371\/t + 2). Let w = z + -35. Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*b = -14. Suppose -b = -3*z - 8. What is the remainder when z\/4 + 275\/22 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*s + 3*s + z, 2*z = -10. Let j be -3*10\/s - 0. Solve j = -2*o + 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -31*i**2. Let u(h) = -7511*h**2 - 231*h + 77. Let b(s) = -777*s**2 - 24*s + 8. Let g(n) = -77*b(n) + 8*u(n). What is g(y(p))?\nAnswer: -248899*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -890*b + 2553. What is i(3)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 - 18*s**3 + 9*s**3 + 3*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/40 + (-1)\/(-4))*10. Solve -9 = -j*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/66 and 91\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -32) + (-3 + -4 - (-3 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1883.\nAnswer: 9415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744408503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -353742 divided by 58957?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1625.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*y + 305, -4*a + 253 = 3*y - 44. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3390508*g**3 - 16470376.\nAnswer: -10171524*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 6 = 6*y - 2*i, -2*y - 5*i = 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 12447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*1*sqrt(77))\/sqrt(7).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2316*h**3 - 6*h + 3. Let q(i) = -772*i**3 + 2*i - 1. Let m(z) = 17*q(z) + 6*w(z). Let g be m(1). Suppose 0 = -a - 0*a + g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9256011 is divided by 785.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/1160)\/(40\/100).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1700) - (0 + sqrt(1700) + 0)) + -5 + 1*sqrt(1700) + sqrt(1700) + -4)*3*-4)**2.\nAnswer: -46080*sqrt(17) + 988416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*w**2 + 118*w - 118*w)*(4*w**2 - 6*w**2 + 0*w**2) as z*w**3 + j*w**2 + q*w**4 + a*w + b and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 6*j**2 + 2*j - 17. What is r(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/13, 1, -3, 8306, -88?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*b = 157, 4*o - 3*b = -b + 182. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/10 and -163\/16764?\nAnswer: 83820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = w + w - 37, -38 = -3*w + 4*q. Let h be ((-4)\/78)\/((-1)\/w). Suppose 5*v + 9 = x - 3*x, 4*v - 5*x - 6 = 0. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 5 + 1*sqrt(1008))*-2)**2 + 1*((sqrt(1008) + -2 + (sqrt(1008) + -1 - sqrt(1008)))**2 + sqrt(1008)) + 5 + -4.\nAnswer: 420*sqrt(7) + 5150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/54)\/((-154)\/99))\/((-1)\/42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/20 - p**4\/2 + 5*p**3\/6 + 3*p**2\/2 - 2*p. Calculate the remainder when o(-7) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30745427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 38. Suppose -5*c - 1 - g = 0. Let w(a) = -a - 7. Calculate w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86843.06213448 - 86843. Let c = -0.83212908 + j. Let q = 0.77 + c. Round q to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 + 1223112?\nAnswer: 1230333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/(-84)*-3 - -4. What is the second smallest value in -5\/9, -1, z?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3192, 3168, 3096, 2952, 2712?\n\"Answer: -4*k**3 + 4*k + 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 42, 44?\n\"Answer: 2*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24262 - 24262 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from mtttooooatbabbtoataq.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 352217257 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26*a**2 + a - 1. Determine r(-2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62624855 to the nearest integer?\nAnswer: 7914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21355?\nAnswer: 5, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 29*f**2 - 26*f + 53. Calculate i(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124909024 by 29797.\nAnswer: -4192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79365571 rounded to 4 dps?\nAnswer: -0.7937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g + 3 = 0. Suppose 492*m - 384*m - 1682*m + 2375 = -773. Sort g, -4, -12, m in descending order.\nAnswer: m, g, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(-4*(-2 + sqrt(1700)*-2)*4*-1 + 1))**2.\nAnswer: 496000*sqrt(17) + 43544028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/3 + 7*n**2\/2 + n - 3. Let v be s(7). Are v and -3\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86*a**2 - 15*a**3 + 102*a**2 - 8876 + 9*a**3 + 228*a**3 wrt a?\nAnswer: 666*a**2 + 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 2*o**2 + 2*o - 3*o)*(-217*o + 245*o**2 + 239*o**2 - 488*o**2) in the form l*o**3 + u*o + w*o**2 + q*o**4 + j and give l.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -790\/411 + 7553\/3288. Factor 9\/8*k + 15\/4 - u*k**2.\nAnswer: -3*(k - 5)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 297 = -2373. Let t = -226 - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2821, 12546, 28737, 51394?\nAnswer: 80517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 166406 divided by -33\nAnswer: -166406\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)\/t)\/(t*t*(t\/((t\/(t*t*t*t**(-1\/14)*t*t))\/t*t))\/t) assuming t is positive.\nAnswer: t**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56313068 rounded to three dps?\nAnswer: 6.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -383, -595, -827, -1085, -1375?\nAnswer: -1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1061 divided by -26.\nAnswer: 1061\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127331111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -497 in 0, -3, -3.77?\nAnswer: -3.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-56)*1\/((-2)\/7). Suppose j + 13 = z*t, j = -2*t - 0*j + 7. Sort t, -2, 9.\nAnswer: -2, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 3.5. Let m = 2 - -7. Let p = m + -19\/2. Which is the nearest to -1? (a) p (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -21540*s**2. Let c(b) = -41719*b. What is l(c(a))?\nAnswer: -37489830659940*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59 - (0 + 0)\/(-2). Suppose 47*r = -41*r + 29*r + 295. Suppose r*g - 46 = u. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89.5 - -89. Let y = 3 - 8. Which is the closest to 1\/4? (a) y (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by -2 + 8 + 3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 12*y**2 + 11*y + 3. Let v be d(11). Let r(j) be the second derivative of 1\/8*j**2 + 0 - 1\/48*j**4 - 1\/80*j**5 + 1\/24*j**v + 2*j. Factor r(m).\nAnswer: -(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*-2*sqrt(17) - (0 + (sqrt(85)\/sqrt(5)*6)**2).\nAnswer: -612 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 6*q + 20. What is the second derivative of -y - 8*y**5 - 8*y**4 + 11*y + 8*y**q wrt y?\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 5. Let o(g) = 1. Give d(z) + 6*o(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 309453*s\/2 - 464184.\nAnswer: (s - 3)*(s + 309456)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m)\/m**(-3)*(m**1\/m)**(-4\/5))\/(((m*m**1\/m)\/m)**(-40))**(-23) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2199.4 plus 1.4?\nAnswer: -2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1202\/31 + -8321\/217. Factor -d*y**3 + 24\/7*y - 36\/7 + 3\/7*y**2.\nAnswer: -3*(y - 2)**2*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*t + 11. Suppose 4*y = y + t. Suppose 3 = 5*x - 2. Calculate the lowest common multiple of y and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 33*k**2 + 84*k - 4. Give j(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27325 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-47 + 52 - (1 + 4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409 - -734. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 13*q**2 - 16*q + 12. Let c be x(11). Suppose -5*o = 4*d - c, 3*d = o - 6*o + 56. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879187827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-45)\/(-2) + -1 + -12 and 3\/18 + 669\/144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*u + 16, -3*c + 11 = -u + 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5\/2, 53190\/71 in descending order.\nAnswer: 53190\/71, 5\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6886, -33, 5 in ascending order.\nAnswer: -33, -5, 5, 6886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqedel. Give prob of sequence dq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232502*c**3 + 202183.\nAnswer: -697506*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Let d(n) = -3*n + 9. Let r(u) = 2*u - 5. Let g(b) = -2*b + 1. Let o be g(-2). Let y(f) = j*d(f) + o*r(f). Give y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -47, 359, 0.\nAnswer: -47, 0, 12, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390720*a**4*q + 3*a**4 - 88*a**2 - 701*q wrt a.\nAnswer: 9377280*a*q + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247.11 - 247.11. Let l = -5.6 + 7. Which is greater: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9828 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -8. Let n(d) = -d**3 - d**2 + d - 2. Let m be n(y). Suppose -2*r = 14 - 6. Which is the nearest to 1? (a) r (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -69b?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4 and 1331.24?\nAnswer: -4526.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175910090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 800*g = 795*g - 1318, 0 = -2*o - 2*g + 2648. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -248. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 - f - 2. Let k be b(4). Let w = 44 - k. Calculate the remainder when 1\/(((-2)\/350)\/(12\/w)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 + 3*g**4 - 3*g**3 - 3*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1208\/175 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 + 2204*h**3 + 34*h**2 - 48*h**2.\nAnswer: 2204*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:49 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 + 7*w - 6. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. What is the units digit of s\/3 - (-138)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -858*y**2 + 6*y - 6329 wrt y.\nAnswer: -1716*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 219*a**2 + a + 4. Suppose -7 = -2*u - 5*y + 4, -u + 3*y = 0. Let o be i(u). Suppose 3*l = 5*l - o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.717487 years?\nAnswer: 32.609844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 30.7?\nAnswer: -3.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4782*k + 6*k**3 + 4782*k - k**3 - 2*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (212\/4)\/((4\/28)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - 2)*(-30)\/(-9). Let v = p - -33. Solve 0 = -d - 1 + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 9. Give l(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -11*l - 8*l**2 + 1\/200*l**6 + 14\/15*l**3 + 1\/40*l**4 + 0 - 11\/150*l**5. Factor v(b).\nAnswer: (b - 7)*(b + 1)*(3*b - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 82, 122, 162?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1355525 (base 7) to base 10.\nAnswer: -182054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = f - h, 0 = -5*f - 0*f - 4*h - 33 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 59, 82, 125, 194, 295, 434, 617?\n\"Answer: h**3 + h**2 - h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let b(j) = -j + 2746. Determine b(s(r)).\nAnswer: -2*r + 2746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 2501703*w + 5003394.\nAnswer: 3*(w - 833899)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -14. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -121. What is the remainder when k\/(-28)*(0 - 4) is divided by (-9)\/(-3) - 2 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let w(s) = 30*s + 2. Determine 3*i(v) - w(v).\nAnswer: -33*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1986*x**2 + x - 133729 wrt x.\nAnswer: 3972*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -76991, 46 in increasing order.\nAnswer: -76991, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2375 and 453225?\nAnswer: 43056375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2112 - -34310?\nAnswer: 41422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 + 1 = 0. Let p = -584 - -593. Suppose 42 = -3*j - 4*w + 105, 0 = -l*w - p. Solve 5*d + j = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253 + -13652?\nAnswer: -14015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 37 + 25. Let o = -1172\/15 + 78. Put f, -0.04, o in ascending order.\nAnswer: o, -0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p**3 - p**2 + 5*p + 3. Let r be a(-3). Let q = -56 + -206. Let v = q + r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u + c + c, -20 = 5*c. Suppose 2*m + u*m = 0. Solve -4*x + 12 = -m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*v + 99*v = 80. Put 3, v, 0, -1 in ascending order.\nAnswer: v, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 897, 3597, 8099, 14403, 22509, 32417?\n\"Answer: 901*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + g - 2. What is y(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*j*s*t**4 + 3*j*s*t**3 + 3*j*s*t**2 - 30*j - 4*t**3 - 3*t**2 wrt t?\nAnswer: -696*j*s*t + 18*j*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = x - 19, 3*c - 10 = -2*x. Sort c, 2\/5, -20, -0.5.\nAnswer: -20, -0.5, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 21\/11, 0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*j + 4299 - 4051 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -300424, 0.\nAnswer: -300424, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -452 - 52 + 67*m**2 - 200*m**2 + 69*m**2 + 61*m**2 as h + k*m + t*m**2 and give h.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739 = -9*n - 235. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10941 and 26295912.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6))**(-1\/18)*m**(-2\/37)*m*m*m**(1\/4)\/m)**(-2\/51) assuming m is positive.\nAnswer: m**(-679\/11322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300867.\nAnswer: 3, 7, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30929, -30922, -30911, -30896?\n\"Answer: 2*r**2 + r - 30932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-2))\/(1\/2))\/(245\/(-735)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 100*a**3 + 335*a**2 + 240*a = 0 for a.\nAnswer: -16, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -129224212062 and -0.3.\nAnswer: -129224212062.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -67, -77, -87, -97?\n\"Answer: -10*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97\/6362379 or 1?\nAnswer: 97\/6362379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 - 4.128. Let q = l - -0.028. Which is the smallest value? (a) q (b) -5 (c) -1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 38 = 10*g + 8*x, -2*x + 7 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 18*b**2 + 23. Let h be a(-18). Let j = h - 20. Let s be 16\/(-12)*3\/(-2). What is the greatest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c + 5 - 5)*(12*c + 21 - 21)*(-3*c + 3 - 3) as s + z*c + m*c**3 + n*c**2 and give m.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*y = 19 + 23, -6 = -3*y. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*p**2 - 2077*p**3 + 823*p**2 + 273*p**3 - 408*p**3.\nAnswer: -2212*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -1542338949?\nAnswer: -1542338950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 602874*n**3 + 631923*n**3 + 5006158*n**3.\nAnswer: 5035207*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 12 = 2*k, -9 + 4 = -k + 4*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 18}. Give prob of picking 4 i.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 7*n**4\/12 + n**3\/3 + n**2\/2 + 4*n. Let d be i(-1). Let m = d + -4. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5 - (-3128)\/40. Let z = b - 38. Differentiate 35 - z*j**4 + 322*j - 322*j wrt j.\nAnswer: -164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -8, -1187 in increasing order.\nAnswer: -1187, -8, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44716417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 6173*u**6\/60 + 8047*u**3\/6 + 48*u**2 - 3*u. What is the derivative of b(c) wrt c?\nAnswer: 37038*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0826 and 0.006?\nAnswer: -0.0004956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 13 = 2*i, 0 = i + 4*q - 1087 + 1076 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + (-23 - -19) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15664 and 126464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199489379.\nAnswer: 19, 1049, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/2)\/(-9 + 7). Let b(a) = 3*a**2 - 6 + 0*a + 5*a + l*a**2. Let v be b(-6). 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: Collect the terms in 322*n + 346*n - 1 - 1409*n + 360*n + 312*n.\nAnswer: -69*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.8629758 plus -271868?\nAnswer: -271746.1370242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and -3 - -22 - 14\/(-14)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 640 + -348. Let h be (s\/(-144) - -2)\/(4\/(-3160986)). Let j = h + -21945. Find the common denominator of 137\/6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13691 - 79241 = -3319*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.93? (a) 153 (b) 0.04 (c) 4 (d) -2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -14955.\nAnswer: -56\/14955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 916 and 50.\nAnswer: 22900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -5*m - 21*q, -4*q = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 (base 12) in base 8?\nAnswer: -1701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*l**2 + 3*l**5 - 39*l**2 + 19*l**2 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 13*q**2 + 11*q - 9. Let w be x(-12). What are the prime factors of w + 1*(-2 + 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*w - 3*w + 0*w)*(-6 + 3 + 4) - 2 + 2*w + 2 in the form n*w + c and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 738 = -754. Let z(r) = -2*r**2 - 3*r + 1. Let h be z(-3). Let y = -13 - h. Which is the third biggest value? (a) y (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((0 - -2) + (0 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/510 and -44\/1479.\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -16) + (-5 - -3 - -7). Solve -3*f - 4*n - 36 = -x, -3*f - 9 = 3*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3286*f + 3344. Calculate d(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/7 + 12*p**4\/7 + 24*p**3\/7 + 16*p**2\/7.\nAnswer: 2*p**2*(p + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(-12)\/(-3). Let c(g) = -41*g**2 - 6*g + 25. Let f(t) = 139*t**2 + 17*t - 76. Let n(s) = 10*c(s) + 3*f(s). Is n(o) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 4620a3?\nAnswer: 462096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {l: 1, y: 2, k: 2, f: 4, r: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158912 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((18\/8)\/3)\/((-12)\/(-8)). Which is the nearest to 0.2? (a) 3\/4 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*u + 35207 = 1018*u + 137*u + 980*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g**2 + 69*g**2 - 298*g**2 + 79*g**2 + 77*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r - 11*r - 10*r to t*r + u and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21250 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/11)\/v)\/v**11*(v*v**(-1\/2))**(-19) assuming v is positive.\nAnswer: v**(-471\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 15*u - 2 - 11*u**2 - 1. Let n(s) = 9*s**2 - 14*s - 4. Let t(b) = 10*b**2 - 16*b - 5. Let p(q) = 6*n(q) - 5*t(q). Give -17*p(j) - 6*r(j).\nAnswer: -2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/(-84))\/(((-252)\/18)\/(-84)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.49 in 0.3, -0.2, 1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(11\/9)*u**(-46)*(u\/(u\/u**2))\/(u\/(u\/(u\/(u\/(u**(2\/9)*u)))))*u**(-3)*u**1 assuming u is positive.\nAnswer: u**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -51. Solve -3*q = -l*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 34, 57, 86, 121, 162, 209?\n\"Answer: 3*t**2 + 8*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zftfsqtffttffftsqs. What is prob of picking 1 t and 1 z?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/(-168)*119\/34)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -85442.3 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -169*p + 26094. Calculate u(154).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591461?\nAnswer: 13, 45497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3, -4\/7, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 229 - 566 - 2*m**2 + 266 - 61*m + 60*m as l + n*m**2 + d*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c*c**(-7))\/(c**2)**(2\/13)*((c*c**(-2)\/c)**(4\/15))**(9\/4) assuming c is positive.\nAnswer: c**(-1887\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxw when four letters picked without replacement from aaasasawaaxaxaaa.\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*y**2 + 24*y - 2738?\nAnswer: -48*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115928425.\nAnswer: 5, 67, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**3\/3 - 217. Let i(h) = 265*h - 212. Let q(t) = t - 1. Let p(l) = i(l) - 212*q(l). Determine p(g(w)).\nAnswer: -106*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 12*d + 9. Let r be h(11). Solve 4*j - i - 4 = 0, -4*j + i + r = 4*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) - (-7 - -4). Suppose 3*c - o*w = 27, -4*c + 37 = -w - 2*w. Calculate the remainder when 2\/2 + 25 - -2 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14364, -14375, -14400, -14445, -14516?\nAnswer: -14619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/3)\/((-1)\/(-47)). Let j be (-3)\/2*(-9 + (2178\/27)\/2). Let d = a + j. Solve d*t = -t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 600*s**3 + 682*s**3 - 1333*s**2 + 332*s**3 - 433*s**3 + 57*s**3 wrt s.\nAnswer: 7428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*c**2 + 46*c**2 - 122*c**6 + c + 71*c**2 wrt c.\nAnswer: -14640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-11061)*9\/222. Let k = f + 101450285\/500203. Let m = -203 + k. What is the biggest value in -0.09, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9414 = 5*k, 5491 = 5*b - 2*k - 6285. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705703 is divided by 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from vxhgxh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c + 4. Let i be r(0). Let w(s) = i*s + 10 - 2*s - s - s**2 - 6. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13138*q - 13114*q = 432. What is the third smallest value in 3, 0.4, 0, -2\/7, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1\/2*a**2 + a - 3. Determine w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57354 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a**4 + 57 - 57)*(-11 + 6 - 2)*(0 - 1 + 0 + 2 - 3 - 2 - 3 - 2 + 4 + (1 - 5 + 2)*(-1 - 2 + 1) + 5 + 2 - 4).\nAnswer: 224*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from rdzarkzpp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2610236.304\nAnswer: -2610239.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.29 + 0.29. Let r = 17 + -16.65. Let u = 0.05 - r. What is the third smallest value in k, 8, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 26. Calculate the greatest common divisor of n and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + c58?\nAnswer: c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-40) + -3*101\/(-52). Let m = z + -225\/52. Let k = -3 + 2. Put m, 0, k in increasing order.\nAnswer: k, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -459, -797, -1071, -1251, -1307, -1209?\n\"Answer: 5*z**3 + 2*z**2 - 379*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.007?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3502446106 to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 55.04.\nAnswer: 4.9536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4575 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -28088 (c) 143.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2340 = -3*q - q. Let a = 27460678\/46491 + 2\/15497. Let f = q + a. Which is bigger: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 65*b - 68*b = 386, -5*q = -4*b - 388. Calculate the remainder when 374 is divided by q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6155260 (base 7) in base 8?\nAnswer: 2636461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -140, -165, -186, -203, -216, -225, -230?\n\"Answer: 2*u**2 - 31*u - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1888835940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010100000001101001 + -1100?\nAnswer: -11001010100000001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**2. Let q(g) = 108*g**2. Calculate -28*o(w) + 3*q(w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w - 3 - 1\/2*w**2. Let c be q(-5). Solve c*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 5 + 5 + (-u + u + u**2)*(-3*u**3 + 0*u**3 + 2*u**3) + 16*u**5 - 2487*u**2 + 2487*u**2.\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*j + 2130, 2*m + 2*j - 2160 = -0*m. Suppose 0 = w - 6*w + m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/17285 and 74\/798567.\nAnswer: 3992835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 13 = -5*y. Suppose -26 + y = -h. Suppose -n + 4*g + h = 0, -g = -0*g - 5. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 - 7*y + 6. Let w be v(6). Does 10 divide 162\/(w - -3) - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52 - d**2 - 68 + 14 + 15*d + 1170*d**3 + 1919*d**3 wrt d?\nAnswer: 18534*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t**2 - 5*t + 2. Let r be m(2). Let n(o) = 3*o - 3. Calculate the remainder when (-3759)\/r + 3\/(-4) is divided by n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Let k = -2943 - -2939. Which is the biggest value? (a) -1.1 (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 25 = -5*t, 2480*a + 98*t = 2478*a - 304 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006412702 rounded to seven decimal places?\nAnswer: 0.0000641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000306862 rounded to 6 decimal places?\nAnswer: -0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181823273 to the nearest integer?\nAnswer: 13484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6*a + 6. Let x be 0 + a + (1 - -1). Factor -6\/7*m**2 - 2\/7*m**3 + x - 4\/7*m.\nAnswer: -2*m*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + 3*b)*(-b**3 + 2*b**3 + 0*b**3) - 2*b**4 + b**4 + 3*b**4.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 43*j**2 - 50*j + 42. Let d be m(-44). Let z = d - 300. Solve r = -2*r - z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 4*m**3 - m**3)*(213 - 34*m + 200 + 210 - 622).\nAnswer: -68*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 416.9 and -44667786?\nAnswer: 44668202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 64. Let k be o(35). Find the third derivative of -k*t**5 + 2*t**2 - 58*t - 73*t + 152*t wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-19) - 3\/(12\/(-8))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Find the common denominator of 22\/24*-22 - t and ((-2)\/(-12))\/(1\/109).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.6 - -70.4. Let b = g - 92.0000044. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + ((-2)\/(-4))\/((-4)\/(-808))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8726.\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1125 - -23392. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011338 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155, 776, 1801, 3224, 5039?\n\"Answer: -g**3 + 208*g**2 + 4*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1608 = 4*k - 1012, -3*k - s + 1975 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, y: 2, q: 13}. What is prob of picking 2 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**3\/2 + 915*h**2\/2 - 279075*h\/2 + 827. Factor t(n).\nAnswer: -3*(n - 305)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 43*m - 40. Let c = 67 + -92. Let g be w(c). Is g at least as big as -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48223\/44 - -1096. Which is the third smallest value? (a) k (b) -4 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.4525 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 less than 7.23633104316?\nAnswer: -80.76366895684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(4\/(80\/(-5))). Let s(a) = 24*a**3 - 5*a + 4 - 23*a**3 - 7*a**2 + 9*a**2. What is the remainder when 47 is divided by s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0587 or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 110, 261, 484, 785?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 21534*w**3 - 79734066*w**2 + 109743412570*w - 30505110748116 = 0 for w.\nAnswer: 366, 3467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 56*m + 430. What is d(-46)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**5 + 1708*s**3 + 13080*s**2 wrt s.\nAnswer: 180*s**2 + 10248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. Suppose 72 = -p*w + w. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4 + 695*g**2*k**3 + 2*k**3 + 973*k**2 - 1 wrt g?\nAnswer: 8*g**3 + 1390*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*o**5 + 14*o**3 + 21615*o?\nAnswer: -2040*o**3 + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 768500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -17*h**4 - 3*h**2 - 10*h + 3. Let k(f) = 17*f**4 + 4*f**2 + 9*f - 4. Let p(q) = -3*k(q) - 4*z(q). What is the second derivative of p(a) wrt a?\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17732808.3935 + -3\nAnswer: 17732805.3935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3854 + -3845.4. Which is the nearest to -0.1? (a) 7 (b) 2 (c) -0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Suppose 2 = y*d - 8. Let j(x) = -x**2 + 7*x + 4. Give j(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v + 0*v**6 + 0*v**7 + 0 - 1\/336*v**8 + 1\/8*v**4 - 3*v**2 + 0*v**3 + 0*v**5. Find the second derivative of r(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 21. Suppose -3*s + z = -8. What is the remainder when 69 is divided by -2*(3 - s) + 5 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283 - -316. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b\/(((b**(1\/13)*b)\/b*b)\/b)))\/b*b**(1\/34))**(-2\/11) assuming b is positive.\nAnswer: b**(-47\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1404 + 1403.3. Which is the nearest to -2? (a) -4 (b) 1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 - 4*w - 2. Let a be 12\/10*5\/2. Suppose 0 = a*l - 16 + 1. What are the prime factors of j(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63.93 times 0.07\nAnswer: -4.4751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499314140402 - 283.\nAnswer: -499314140685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117561 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4346, -8688, -13030, -17372, -21714, -26056?\nAnswer: -30398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -43, -22, 17, 80?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 9 = 17 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2055 + -2053. Let d(r) be the third derivative of 0*r**4 + 0 + 0*r - 3*r**g - 11\/120*r**6 + 0*r**5 - 13\/6*r**3. What is the derivative of d(f) wrt f?\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54\/7*s**4 + 6*s**2 + 0*s + 0 - 6\/7*s**5 - 90\/7*s**3.\nAnswer: -6*s**2*(s - 7)*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320)*-4 - sqrt(100)\/(sqrt(50)\/sqrt(10)))\/((-4*(sqrt(8) - 2*sqrt(8)))\/(sqrt(10)\/sqrt(5)*-5 + sqrt(2))))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 3\/486266?\nAnswer: 3\/486266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -104. Let l(c) = 2*c**2 - 2*c - 8. Let q be l(a). Suppose 5*b = -4*g + 267 + 1778, -q*g = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -63, -2, 12, -0.5, 0.0666?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z**3 + 2*z**2 + 2*z + 4. Let i be h(-2). Let u = 832 + i. Is u\/6 - (-22)\/66 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 298 = y - 253, -10 = -2*y - 13*r for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 485387 < 5339242\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3, 1, 1962?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 152634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*p + 25*p + 116. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*f - 1, 2*k + 2*f - 31 = -21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -28. Let m = -9 + c. Suppose m*o + 25 = 3*o. What is the third biggest value in 1\/6, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8267724 divided by 12414\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32916?\nAnswer: 2, 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 316999 = -3*n, 0 = 2*g - 5*n - 235710 - 81233. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2006 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:11 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 1539*t = -1534*t + 70, 2*t = -5*k + 56 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54481.\nAnswer: 7, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12096*h**2 + 27*h**3 + 6051*h**2 + 6047*h**2)*(2 + 0 - 3) as l*h**3 + g + t*h + y*h**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -33\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.03 + -2. Let w = y + -0.0298. What is w rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, 4*i + i - 15 = -5*z. Suppose -3*o = 4*x - 58, i*x = -3*o + 7*x + 26. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/45)\/(30\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 32*h = 39. Let f be (h + 10)*(4\/(-3))\/2. Solve 4*w = 3*g + 2 + f, 4*g = w - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -262 in ascending order.\nAnswer: -262, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -118. Let g be (-150)\/u - 5*(-6)\/(-105). Let p(t) = t**3 - 6*t**2 + 5*t + 2. Determine p(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 200. Let j = 2468 - 2419. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46205528 * -3.\nAnswer: 138616584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5191 + 2317 = 217*f - 249 + 162 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 16*m + 10. Let k be q(-16). Suppose -8*w = -k*w + 18. What is the third derivative of 26*f**2 - f**2 - w*f**4 + 0*f**2 - 9*f**4 wrt f?\nAnswer: -432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1042998483 to the nearest 100000.\nAnswer: 1043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-11) - 2) + 6\/(-165)*-5. Sort -11, h, -1, -7 in decreasing order.\nAnswer: h, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (sqrt(180) + -2)**2*-3 - -4*(sqrt(180) - (4 + (sqrt(180)*-1)**2))).\nAnswer: -1280 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 241 + 224 - 507 - 11*s. Let m be b(-4). Let x = -6 - -11. Solve -x*w = 5*n + 25, m*n - 2*w - 19 = 7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let y be g*(-1 + (-1 - -1)). Is y != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -64 + 22. Let t be (9 + -2)\/y + 4. Solve -n - t = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.69*4.\nAnswer: 118.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073296 rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + 3 + (sqrt(75) - (sqrt(75) + sqrt(75) + 0)) + sqrt(75) - (0 + (sqrt(75) - (1*sqrt(75) + sqrt(75))) + -2 + 4))**2 + 1.\nAnswer: -20*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -108*f**2 + 39*f - 39. Let c(z) = 3*z**2 - z + 1. Let r(t) = -39*c(t) - y(t). Let w(p) be the first derivative of 35*p**3\/3 + 4. Determine r(w(u)).\nAnswer: -11025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22220022 (base 3) to base 12\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242 + 247. Let c(p) be the third derivative of -1\/12*p**4 - 1\/6*p**3 + 1\/60*p**z - 1\/120*p**6 + 0 + 0*p + 19*p**2. What is c(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 23 = 5*v, 0 = -5*w - 5*v - 23 - 2. Which is the closest to w? (a) -0.3 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s = 10. Suppose 0 = -3*k + 2*q + 275, k - 278 = -s*k + 5*q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23845 - 23845 + 5*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4319636 is divided by 1079909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 0, 5*k = -0*k + 2*r - 13. Let p = k - -1. Let u(a) be the second derivative of a**3\/6 + 3*a**2\/2 + a. What is u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 31*c - 7*c - 22754. Calculate the remainder when 2942 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-132)*(-12)\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -61, -102, -159, -238, -345?\n\"Answer: -x**3 + x**2 - 27*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - -10) + (17 - 66).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165495 by -3009.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.9 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864 divided by -358?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + i - 13 = 5*w, -5*i - 9 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -159, -228, -299, -372, -447, -524?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 944*k - 58898. Give d(74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.85 - -22.2. Let s = n - -0.65. Let h be 5\/75 - (-4)\/(-6). Which is the fourth smallest value? (a) s (b) -3 (c) h (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 5, z: 5, a: 1, q: 5}. Give prob of picking 3 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*k - 87*k + 247 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006, -2018, -2030, -2042, -2054?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 8 = -19*d. Suppose 5*n = 8 + 7, d*j + 11 = 5*n. Suppose 6*k = j*k. Solve -o - 4*o + 10 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t - 197. Calculate m(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 5*l + 1. Let y(f) = f**3 - 3*f**2 + 2*f - 1. Let p be y(3). Is b(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -164.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -494 + 31?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2686 and 20066?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/233 less than or equal to 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/51 - 508\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105224453 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.004377896\nAnswer: 0.013133688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 53. Let t be (-1)\/(-2) + 2\/(-4). Suppose 4*p = -t*p. Solve p = q*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(6793\/5746878)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-5005)\/(-1253) + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-5) + 2\/5. Let h = -69 + 120. Let z = -51 + h. Solve z = -q*m + m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207 + -198. Solve 3*o - c = 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-35 + 2848\/96)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = -m - 69, 5*x = -3*m + 145. Let q = 4 - -1. Solve 3*n = 4*p + x, -5*n - 6*p - q = -p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/3 + s**2 + 1280*s - 2. Let j(o) = 4*o + 4. Suppose -3*y = -14 + 44. Let g be (8\/10)\/((-4)\/y). Give g*j(r) - 5*m(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2. Let v(q) = -15*q**2. Let g(u) = -5*k(u) - 2*v(u). Let f(i) be the second derivative of i**3\/6 - 24*i. Determine f(g(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 0 - (-177 - (-16)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:19 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + -32 + -35 + (-3 - (3 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j = -22*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*o = 0, 7*o = 4*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -120. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*((-6*s + 2*s + 0*s)*(-2 + 1 + 3) - 26 + 26 + 7*s)*(-s**4 - 2*s**4 + 2*s**4).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 3c35c?\nAnswer: 3c357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1032 - -1031.9. Let a be 3\/(-9) - 59\/3. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u - 3 - 14*u**2 - 13*u + 13 + 14*u - u**3. Let z be m(-16). Calculate the highest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143533, 143574, 143617, 143662, 143709, 143758, 143809?\nAnswer: 143862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 3, n: 2, m: 1, h: 6}. What is prob of picking 1 m, 2 d, and 1 h?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9502.143 millimeters in nanometers?\nAnswer: 9502143000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3664 at least as big as -3657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 + 6*q - 7. Let c be w(5). Let k = 3 - c. Suppose -3*g = 5*z - 4*z - 15, 0 = -z + 3*g - 15. Solve n - k*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2777945*q - 753411 wrt q.\nAnswer: -2777945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7103137 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61170720 times 1\nAnswer: -61170720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. What is the units digit of (5 + k - 1)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -1117974?\nAnswer: -1117992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -187\/357460 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 3*j**2\/2 - 15*j\/4 - 9\/2.\nAnswer: 3*(j - 2)*(j + 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -208.176 and -0.021.\nAnswer: 4.371696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/120 - 19*d**5\/60 - 3*d**4\/4 - d**3\/3 + 271*d**2. Calculate a(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b**5 - 1883*b**4 + b - 110104 wrt b.\nAnswer: 220*b**3 - 22596*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 1. Let g be t(2). Let m = 96 - 90. Let w(x) = -g + 8*x**2 - 8 + m*x + 7. Let v(r) = -r**2 - r + 1. Give 6*v(z) + w(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*p**5 + 13074\/5*p**2 - 4740*p - 2811\/5*p**3 + 3000 + 168\/5*p**4.\nAnswer: -3*(p - 25)**2*(p - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101300*k + 117 = -12*b - 1101309*k, 0 = -3*b - 5*k - 43 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*m + 3870 = -412*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -14a?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 2, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*i - 23. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = h - 7, -548*r + 547*r + 3*h + 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -572 divided by 2\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 100*w - 1979. Calculate j(-72).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - o**4 + 14*o**2 - 13*o**2)*((4 + 2 - 5)*(-6*o + 3*o + 2*o) + 5*o - 4*o - 2*o).\nAnswer: 2*o**5 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*i - i**3 - 5*i**3 + i**3 - 66*i + 113 + 4*i**3 in the form w*i**2 + m + u*i + c*i**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1930, -1914, -1896, -1876?\n\"Answer: d**2 + 13*d - 1944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -21, -43, -73, -111?\n\"Answer: -4*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 22*i + 85. Determine a(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04351773 rounded to 4 dps?\nAnswer: -1.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 215891176 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1920642)\/(-66) - (1 + (-60)\/44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8828974?\nAnswer: 2, 7, 11, 57331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 406*p**2 + 3*p + 4. Let v be l(-1). Suppose -v = -5*u + 68. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/(32\/(-48)). Let g be ((-1)\/3 - 1) + 1. What is the closest to g in 5, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45380541 and 6507?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 16. Let j be k(-6). Suppose -i + 9 = j*i. Suppose i*t - 90 = -6*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*(-53)\/(-2650)*-20\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 125 (b) -1\/10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23197 less than or equal to 23474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 3) in base 12?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121110110 - -2200222?\nAnswer: -111202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.83602 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 9*t**2 - 11*t - 15. Let c be n(-10). Let h be (-1 - c\/3)*3. Let k(y) = 3*y - 3. Let o be k(h). Solve -s + 2*z = -o, 5*s = z - 0*z - 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmrm when four letters picked without replacement from mmmrmmmr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -2 + (0 - -1). Suppose -6191 = -c - 3*r - 0*r, -24785 = -4*c - l*r. What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, k: 5, v: 3}. Give prob of sequence vkvg.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-7) + (-2 - 2). Is l less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 divided by 601?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*y - 129 - 380 = 0, -2*y = -4*w + 674. Calculate the remainder when w is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:00 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23563009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 163838856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127643605 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 637280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a + 6. Let j = -48107 + 48101. Let d(z) be the first derivative of -4*z**2 + 3*z - 1. Give j*v(l) + 11*d(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyya when four letters picked without replacement from {y: 5, a: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2, 0.03, 8.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124775*q + 922*q**2 - 124775*q)*(0*q - 4*q + q).\nAnswer: -2766*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -57\/2*l**2 + 5*l + 46. Find the first derivative of i(a) wrt a.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29807 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -892*r - 2659. Determine c(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tctc when four letters picked without replacement from ccctttcc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 508491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -18. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39726.\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 255155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 - -536. Suppose 3*d = 3*k + v + 38, 5*d = k + 449. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 68. Let b = -41 + f. Solve -15 = -5*n + b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 12:15 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1240450420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1405, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-45)\/((u*u*u**(2\/7))\/u)**(2\/73) assuming u is positive.\nAnswer: u**(45972\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/9)*(b*b**10)\/b)\/((b*((b*b*b**12*b*b*b)\/b)\/b)\/b**(-11)))**(-10\/13))**15 assuming b is positive.\nAnswer: b**(7550\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*l**2*t + 36*a**3*t**3 + 6*a**3 - 5*a**2*l**2*t**2 + 2*a**2*t**3 - 2*a wrt a?\nAnswer: -6*l**2*t + 216*t**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -68. Let g be o\/(-42) - (-2)\/(-3). Let r be ((-350)\/(-21))\/10 - 2. Which is the second biggest value? (a) g (b) -5\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/7 (b) 2\/9 (c) -5 (d) -2\/5 (e) -6\/5 (f) 8 (g) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from {z: 5, r: 2, n: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -9*m + 552. Suppose -3*y + m = -5*c, 3*y - 18 = 2*c + 56. What is the highest common divisor of 44 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274*c + 1363*c - 2622 + 18109 = 0 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.751 kilometers to meters.\nAnswer: 881751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.121 and -0.04?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 17*x**2 + 17*x + 22. Let i be b(-16). Put -1, i, 1, 5 in ascending order.\nAnswer: -1, 1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -359*g*p**3 + 9*g*p**2*s + 36*g*s**3 + 427*p**3*s**2 - 80*p**2*s**3 + 2*p**2*s**2 - 2*p*s wrt g?\nAnswer: -359*p**3 + 9*p**2*s + 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 18*v**2 + 19*v + 9. What is the remainder when s(17) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 55800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (418*c**2 + 499*c**2 - 1045*c**2)*(2*c + 3*c - 7*c - 2*c - 1 + 1 + (-3*c + 2*c + 2*c)*(5 + 0 - 4)) to x*c**3 + s + k*c + f*c**2 and give x.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02868186 and 52.\nAnswer: 1.49145672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 + -0.17. Let t = 73\/3 - 24. Which is the closest to 0? (a) t (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h = 15. Let m(x) = -3*x**3 + 7*x**2 + 2*x - 3. Let v(b) = -3*b**3 + 6*b**2 + b - 3. Let a(y) = 2*m(y) - 3*v(y). Is a(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and 77\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 33 - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 102938725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {i: 1, y: 1, m: 1, k: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/10314288 and -71\/419280.\nAnswer: 51571440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1676287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 4) + (-21)\/(-15). Which is smaller: h or 1.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128648 less than or equal to -128690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*k = 3*k - 9, 5*x - 2*k - 5 = 0. What is the third biggest value in 4, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*v**2 + 28324933 - 28324933 - 465*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2514 (base 6) to base 9.\nAnswer: -761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**4 - d**2 - d - 1. Let i(y) = -112*y**5 + 3*y**4 - 142*y**2 + 3*y + 3. Let c(g) = -6*a(g) - 2*i(g). Find the third derivative of c(s) wrt s.\nAnswer: 13440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 6476559*u - 13981938826827\/2.\nAnswer: -3*(u + 2158853)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5162 and 4422944.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - t**2 + 17 + 7*t - 5 - 3. Let y be x(9). Determine l so that -2\/7*l**5 - 4\/7*l**3 + 0*l + 0*l**2 + y + 6\/7*l**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 + 3157\/10. Find the common denominator of (3 - (-4)\/(-14)) + 14 + -12 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -5*z - 2*y = -3, 4 + 1 = 3*z - a*y. What is the derivative of 4*u - 3*u + z - 3*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let d = 430.5 + -430. What is the closest to q in d, 3, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 283 = -y, 1152 = 4*i + y. Let o be i*(-3 + 1 + 3). Calculate the greatest common factor of o and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*s + 8 = -0*j, 0 = -5*j - 3*s + 10. Find the second derivative of -3*l**2 + 2*l**2 - 2*l - 2*l**j wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 43*s + 78. Determine f(12).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 16*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1560 divided by 60\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4849b (base 15) to base 4.\nAnswer: -320102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45221 = -249*h + 45719 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -10\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -381 + 428. What is the remainder when 185 is divided by a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*x - 181779 = 0, -159*d + 161*d - x = 363537. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*o - 50, 3*b + 10861*o - 10865*o = -29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-9)*-3 - (11\/6)\/11.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxxmaxam. Give prob of picking 2 x and 2 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/360 - k**5\/40 + k**4\/12 + 2*k**3\/3 - k**2 + 68*k. Let y(n) be the second derivative of o(n). Factor y(r).\nAnswer: (r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3*h**3)*(186 + 83 - 34)*(-1 + 5 - 2) in the form z*h**2 + a*h**3 + d + j*h and give a.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -51\/5, -2, 0.4, 3, 17.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(-3\/14)\/((i**3\/i)\/((i\/(i*i**(-3))*i)\/i)))**(-42))**(2\/25) assuming i is positive.\nAnswer: i**(-84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (540973\/(-2))\/(339\/(-678)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -166, 0 in descending order.\nAnswer: 5, 0, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564919.\nAnswer: 564919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 319\/256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by 131?\nAnswer: -269\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/12 + x**4\/24 - x**3\/6 + 99*x**2\/2 - 119*x. Let z(w) be the first derivative of r(w). Calculate z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = b - 19, 156 = 5*b + 2*l. Suppose 27*r - b*r + 3175 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7852 - -7868. Solve 4*f + 5*n = -u, 3*f - 11 = -5*n + 7*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbdb. Give prob of sequence dbb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-750))\/(2\/15))\/((-66)\/2728*-93).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529 divided by -5.\nAnswer: 529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.74 * 0.0907\nAnswer: -0.157818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8872\/9 - -986. What is the closest to 8 in y, 5, -0.4, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(13454\/(-868)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27360 and 66054240?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/213 greater than 1434.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211994 is divided by 480?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 459*c**3*s**3 - c**2*s**3 + 23*c*s**3 wrt c.\nAnswer: 2754*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and 375?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) 3 (d) -6 (e) -41\/2 (f) 0 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 507 + 431*d - 507 as h + l*d and give l.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t + 1\/3*t**3 - 1\/2*t**2 + 3. Let w(i) = 3*i**2 - i. Let l(m) = 2*s(m) - w(m). Suppose l(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-7)*132\/((-52800)\/(-280))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*n - 0*n. Let j(u) = u**3 + 29*u**2 + 31*u + 90. Calculate the remainder when n is divided by j(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -113*z + 2. Let p(q) = -56*q + 1. Calculate -3*n(u) + 5*p(u).\nAnswer: 59*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3 + 24\/64*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3093227 and -55054.\nAnswer: 3038173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.6. Which is the biggest value? (a) w (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -17*c**2. Let j = 8190 + 46594. Let o(y) = -j + 54784 - 8*y. Give b(o(r)).\nAnswer: -1088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a\/a**(-4\/5)))\/a*a)\/(a\/(a*a\/a**(-1\/6))*a*a)*a*a**(1\/3)*a*a\/(a*(a**5\/a)\/a)*(a**0\/a)**7*(a**(-6)\/a)\/((a\/a**(1\/4))\/a) assuming a is positive.\nAnswer: a**(-301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-2)*363\/(-44)*(-14)\/(-287) and -25\/124?\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12784, 12788, 12794, 12802?\n\"Answer: x**2 + x + 12782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15*36\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222833 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1372?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 7, 14, 39, 88?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 - 8484*g**3 + 690392*g**2 + 8484*g - 690394 = 0. What is g?\nAnswer: -1, 1, 83, 4159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7187.1546825 - -1.7.\nAnswer: 7188.8546825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-21)\/175*-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 10 = -20*t. Suppose -3*g + t*g = -10. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1009*d**2 - 28*d - 318*d**2 + 12683 + 1087*d**2 - 253*d**2 + 30*d wrt d?\nAnswer: 3050*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22950 - 22923. Calculate the remainder when 7235 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 896718432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 41*c - 98 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 73 = -2*z, 0*z + 2*z - 76 = -2*d. Suppose 2*l - 52 = -16. What is the remainder when z is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3\/10, -3\/2 in decreasing order.\nAnswer: 2, -3\/10, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -6bc9?\nAnswer: 6bcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5985g to nanograms.\nAnswer: 598500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 6:05 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 4*m - 8. Let p be o(-3). Is (-2)\/p*(6 - 39\/(-1)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56624 and 56?\nAnswer: 396368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 1. Let b(n) = 91*n - 50. Let m(a) = -b(a) + 3*u(a). What is the units digit of m(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99308 (base 12) in base 11?\nAnswer: -129257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93147 is divided by 15353?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:01 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)\/sqrt(4)*-3)\/sqrt(5))**2 - (sqrt(99)*1*-6)\/sqrt(9))*2.\nAnswer: 12*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 62107?\nAnswer: 62105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*-2694.\nAnswer: 264012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/2)\/(3\/(-6)). Let s(x) be the first derivative of -1 + n + 5*x**2 - 1 - 6*x**2 - 5*x. Give s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5182 millennia in months?\nAnswer: 18218.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 767980560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nassmmnsakmm. What is prob of picking 1 m, 2 a, and 1 n?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*b - 66, -6*b = 2*d - 2*b - 44. Let l = 15 + d. Suppose -3*r + 1 = m - l, 5*r = -m + 38. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10196 = 2618. Suppose 5*s - 251 = -j + 4*s, 5*j + 3*s = y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 3*o**3 + 745*o - 745*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -137*g - 61?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -317, -226, -85, 118?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3751, -7482, -11211, -14938, -18663?\nAnswer: -22386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2477722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v**3\/4 + 37*v**2 + 1937*v\/4 + 885\/2 = 0.\nAnswer: -118\/19, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 2, m: 2, d: 2, h: 2}. What is prob of picking 1 d and 2 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -799*y**2 - 85*y - 85. Let j(a) = -57*a**2 - 6*a - 6. What is -6*b(u) + 85*j(u)?\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 410 + 67. Let u = -51 + m. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 7807.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14 and -149\/1092.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-8) + (-29)\/116?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d - 46*d - 2*d**2 + 54 - 3*d**2.\nAnswer: -5*d**2 - 6*d + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(2*4\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 903158509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517671310?\nAnswer: 2, 5, 109, 797, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1302\/651)\/((-40)\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 2, 199, -959, 3.\nAnswer: -959, -5, -4, -3, 2, 3, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-33))\/((-20)\/1590) and 89\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.615 in 5, 25.1, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(29*3192\/2436)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70630564558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -13551033?\nAnswer: -13551062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*v + 2*o + 55, -o + 4 = 0. What is the units digit of ((-5)\/v)\/(1\/(-66))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -14, -4 in decreasing order.\nAnswer: 1, -0.1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3))**(37\/4))**(1\/2) assuming k is positive.\nAnswer: k**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-150)\/(-210))\/(5100\/714). Factor 1\/5*x + 0*x**2 + 1\/10 - u*x**4 - 1\/5*x**3.\nAnswer: -(x - 1)*(x + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*s = 202*s + 401*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 2*j**2 + 3*j - 2. Let y(w) = -w**3 - 2*w**2 - 2*w + 2. Suppose -27*c + 24*c - 9 = 0. Calculate c*y(o) - 2*m(o).\nAnswer: -o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -23, -49, -93, -161, -259, -393?\n\"Answer: -m**3 - 7*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61165 + 9.\nAnswer: -61156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12453, -49837, -112149, -199389, -311557?\nAnswer: -448653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 5 = -7*u, -y + 16 = 4*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 736 divide 14660382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 - 4*w - 1. What is the remainder when p(-3) is divided by ((-12)\/30)\/(1\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 7*y**2 + 6*y - 2. Is p(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7408811 and -10.021?\nAnswer: 7408800.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22397 - 13537. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 4*x - 2*x)*(46*x + 0 + 3 - 54*x) + 0*x**2 + 4*x**2 + x**2 as q*x**2 + f + y*x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (201\/(-268))\/((-34)\/952).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b - 0. Let w = 8 - 12. What are the prime factors of w\/b*-4*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206341 (base 8) in base 5?\nAnswer: -4200313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 53*a**2 - 62*a - 568. What are the prime factors of i(-53)?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428*z**3 + 10*z + 21 wrt z?\nAnswer: -2568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/12 (b) -8 (c) 7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - (-238)\/70. Solve 0 = 2*o - u + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3*-1*sqrt(72))\/sqrt(4))\/((4*(sqrt(60) + sqrt(960)))\/(sqrt(1000)*-1)))**2 + 4.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/(-42)*10\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 17*b**2 - 2*b + 19. Give m(17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293802.1 - 293802. Let x = -0.3 - 0.7. Sort 0.7, r, x.\nAnswer: x, r, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzddqdbz. Give prob of sequence ddzq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17703 - -68372. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 477, -4, 1 in decreasing order.\nAnswer: 477, 10, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17493.27um?\nAnswer: 0.00001749327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/98 and 37\/686798?\nAnswer: 4807586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 5537*x + 83509. Determine p(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -251*q + 5185. Give s(21).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1062260, -1062256, -1062250, -1062242, -1062232, -1062220?\nAnswer: -1062206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147.\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.82 * -0.73.\nAnswer: -62.6486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1065 + -9)*(-184)\/(-6). Let k = -777347\/24 + w. What is the common denominator of 77\/48 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 36*l + 46. Let v(b) = -b**2 + 3*b - 1. Let z(j) = -o(j) - 6*v(j). Let q be z(2). Let w(y) = y**3 - 7*y**2 - 8*y. What is w(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 2.3\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -38, -116, -236, -404, -626?\n\"Answer: -u**3 - 12*u**2 + u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*j + 4*y, -2*j - 1 = 2*y + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from sooovosvvev?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrlgggrgrglbrrrrr. What is prob of picking 3 r and 1 g?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 4*r - 418. Let b be z(0). Let d = b - -447. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53140065?\nAnswer: 3, 5, 11, 443, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 2*u**3 - 2*u**3 + (-17*u**2 - 21*u**2 + 40*u**2)*(3 + 2 - 2)*(-1 + 1 + 2*u) in the form a*u**3 + q + f*u + p*u**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 3424326.\nAnswer: 8\/570721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let n(j) = 4207815*j**2 + 2*j + 3. Calculate n(t(b)).\nAnswer: 16831260*b**4 - 4*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1)**2 + -4.\nAnswer: 14*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) - (8 - (-29)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578808477 to the power of 1\/2, to the nearest integer?\nAnswer: 24058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1. Let t(h) = -2*h - 9. Let l(n) = -n**2 + n + 1. Let k be l(0). Determine k*t(s) + 4*v(s).\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.09, 0, 2\/17067?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.011 + -19.329. Let x = -0.34 - y. Let p = x - 23.5. What is p rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {o: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 9*j**2 - 3*j - 24. Give p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2 + 3. Let y be (-3 + 1)*(j + -2). What is the third derivative of -v**3 - 4*v**2 + 4*v**3 + 0*v**y wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 1, a: 3, e: 1, b: 13}. What is prob of picking 2 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2\/6 - (-12)\/(-9)). Suppose i = -4*p - 0*p - x + 49, -55 = -5*p + 5*x. What is the greatest common factor of 18 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siefjja. Give prob of picking 2 j and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)*a)\/(a\/a**(-2\/29)))**(-32)\/((a*((a*(a\/(a\/(((a\/a**1)\/a)\/a)))\/a)\/a)\/a)**25)**(-29) assuming a is positive.\nAnswer: a**(-439221\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 19*i**2 + 27*i + 32. Let v be j(-17). Let s = -141 + v. What is the remainder when 57 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-48)\/12))\/((-76)\/8).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.91301299 - -1.9129. Round r to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r*r**(6\/5)*r)*r)\/r*r*r*r)**(-12\/5)\/((r**11*r)\/(r*(r**(-3\/2)*r)\/r)) assuming r is positive.\nAnswer: r**(-841\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13681079 to the nearest integer?\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -821*g**3 + 5*g**2 + 8*g + 20. Let n be l(-5). Round n to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75, 148, 221, 294, 367?\n\"Answer: 73*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let r(x) = -15*x + 5*x - 1406 + 1410. Calculate d(r(k)).\nAnswer: -20*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 4, 5, 0, 86 in ascending order.\nAnswer: 0, 4, 5, 86, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/3 - 71*y. Let x(n) = -n**2 + n. Let h(b) = 4*b**2 + 2*b. Let k(a) = -h(a) + 2*x(a). What is k(m(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16296156859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 - -89. What is the third derivative of 37*w**6 - 18*w**6 + 40*w**6 - 2 + 14*w**m + 0*w**2 wrt w?\nAnswer: 7080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323113000 (base 4) in base 2?\nAnswer: -1111011010111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 4439.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(88))\/sqrt(8) + sqrt(11).\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:12 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:42 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -103550\nAnswer: 517750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 5*d**2 - d + 1. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*o - 9 = -6*o, -3 = o. Let r = k - -9. Suppose r*h - h - 8 = 0. Solve -3*c = -h*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 16) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2. Let a(b) = -b**2 - 191. Determine j(a(g)).\nAnswer: 7*g**4 + 2674*g**2 + 255367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - (0 + 3)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose 5*i - 13 = 4*b, 2*i - 5*i + 2*b + 9 = w. Let t be (17 - 3) + (2 - 1). Solve i*r + t = u, -6*u + 10 = -2*u + 5*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 19 + 269. Calculate the greatest common factor of f and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, d: 4}. What is prob of picking 3 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -62. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w - 125. Let n(s) = 3*s + 42. What is 11*n(v) + 4*y(v)?\nAnswer: v - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -86, -162, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 5)*(-15)\/12. Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288119 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 + 90 = -9*y - 101. Let l(n) = -22*n**3 + 3*n**2 + 3. Let x(p) = -43*p**3 + 5*p**2 + 5. Determine y*x(t) + 5*l(t).\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59.7 - -9.7. Let j = -50.16 - f. Let p = -15\/7 + 52\/21. Which is bigger: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 8:43 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 47. Let o be i(5). Is -13 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-16)\/12)*(-147)\/35. Which is bigger: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z**(-5\/7)*z**(2\/5)*z\/(z\/(z*z*z\/(z\/z**8))))**(-2\/9) assuming z is positive.\nAnswer: z**(-218\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 926060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y. Suppose 589*u = 610*u. Let g(q) be the first derivative of 2\/3*q**3 + u*q - 16 + 0*q**2. Give c(g(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*n + 62, 150 = 3*q - n - 2*n. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 14 = 5*i. Calculate the remainder when 54 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**7\/21 + v**4\/2 - 8*v. What is the third derivative of r(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -67393?\nAnswer: 673b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 119*a**2 - 44 + 2*a - 2*a + a**2 + a + a**2 - a + (a - 4 + 4)*(-2*a + 3*a + a).\nAnswer: -115*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19184 - 1797?\nAnswer: -20981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 24 = -4*o, 2*o + 0*i = -i. Let v = -76 + 534\/7. Is v > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2724 - -1617. Let l = i + 5030. Suppose -l = -3*n - 830. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + 248. Let b be p(0). Suppose -3*t + 140 = -s, -2*t - b = -7*t - 2*s. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(539) - 2*sqrt(539) - sqrt(539)) + 2 + sqrt(539).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 450 = -22*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/24 - 45\/(-4). Let t = i + -7. Let u be (-4)\/((-8)\/30) - 0. Solve 5 = t*a - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 40, 41, 40, 37, 32, 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-464)\/(-87)*(6 - 0). Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2108 and 7910332?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201141\/22 + -9140. Let p(r) = 148*r + 28. Let o be p(-6). What is the common denominator of -2 - (5 + o\/96) and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83339285 to 4 decimal places.\nAnswer: 0.8334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1363*i**4 - 17*i**3 - 1365*i**4 + 2*i + 3 - 2 in the form o*i + a*i**3 + x + r*i**2 + f*i**4 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 0.091 (c) 4 (d) 13 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.642 times 1.108?\nAnswer: -0.711336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4738*f - 26 + 4727*f + 23.\nAnswer: -11*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -383?\nAnswer: -5\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73577822 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*u**2 - 104*u**2 + 22*u**2 - 22*u**2 in the form m + i*u**2 + v*u and give i.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1\/4 (c) 4 (d) -18.489 (e) 3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 3, b: 1}. What is prob of sequence bb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 4 (c) 3\/14 (d) 307 (e) -0.01 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 34*x**3 + 5*x**2 + 10*x + 5. What is g(-2)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/2 - 8*j**2 + 10*j. Let u be n(-7). Solve -d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1565*l + 9475*l**2 + 782*l + 783*l + 923*l**2 to w + i*l**2 + g*l and give i.\nAnswer: 10398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-642)\/(-90) + -7 + 0)\/(4\/460)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -4, 6, -2784 in ascending order.\nAnswer: -2784, -39, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124550516 + 1?\nAnswer: -124550515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:38 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 96 (b) -0.4 (c) 5 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1009.\nAnswer: -3\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - t = -12 - 117, -104 = -4*x + 4*t. Solve 5*r + x = 1 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -17*h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6*d + 3. Let n be (d - -21)\/(-4) + 4. What are the prime factors of ((-4)\/(-12))\/(n\/(-57))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 30. Let f(a) = -1 - 10*a**2 + y - 9*a + 1 - a**3 + 3*a. What is f(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204322 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 = -2*m + 20, -14 = m + 5*j. Suppose -m*q - 8 = -8*q. Suppose -42 - 106 = -q*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77748, 77753, 77758, 77763, 77768?\nAnswer: 77773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -23, 302\/111.\nAnswer: -23, 302\/111, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n + 1477 = 2874 + 706 + 2912 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -59311 not equal to -59309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-440))\/((-5)\/((-50)\/(-12)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - u**2 - u**2 + (-5*u + u + 3*u)*(-u + 2*u - 3*u) + 11 - 11 - 14*u**2 + (3*u - 6*u + 5*u)*(0*u + 2*u - 4*u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102867 + -55818. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4. Let z be o(-4). Suppose 9*q = 4*q + z. Suppose 4*v = 3*u + 12, -v + 10 + 16 = 5*u. What is the remainder when v is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 110042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3*c**6\/10 - 31*c**5\/5 - 92*c**4\/3 - 136*c**3\/3 + 40*c**2 - 275*c. Determine l so that z(l) = 0.\nAnswer: -10, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 - t + 2. Let j be z(-3). Which is the nearest to -0.1? (a) j (b) -2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:52 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540572607 is divided by 2956?\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/18*3\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4326 + 4396. Is g greater than or equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 - 7*g + 12 = 0. Calculate g.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-38)\/60 + (-8)\/(-60)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4326, -8689, -13054, -17421?\nAnswer: -21790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*b + 6 = 0, 0*o + 28 = 4*o + 4*b. Suppose -11*p = -o*p - 9. Suppose -4*w - 4*d - 769 = d, 945 = -5*w - p*d. Round w to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 + -4. Let u = 40 - 39.8. Let t = s + u. What is the closest to t in 3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 276*m**2 - 2*m. Let z(b) = 56581*b**2 - 411*b. Give 822*t(f) - 4*z(f).\nAnswer: 548*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 0*h - 12*h - 7*h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 10354044, -1\/3?\nAnswer: 10354044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-78))\/(2\/222) and (-106)\/(-56)*2 + 0.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*i - 33 = 3*c, -3*c - i = 29. Let l(z) = -7*z. Let s(u) = 28*u - 1. Let h(v) = c*l(v) - 2*s(v). Differentiate h(r) with respect to r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 10*m**2. Suppose -98 = -10*q - 48. Let l be d(q). Solve -25 = 5*b - l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.81 + -612.81. Let h = y - -614. Which is the nearest to -0.1? (a) 0 (b) 1\/2 (c) h (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 30 - -22 - 11) + -2 + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s. Let x(g) = 61*g + 670. Let w(h) = -30*h - 336. Let k(t) = 5*w(t) + 3*x(t). Let r(n) = 2. Let b(p) = k(p) - 165*r(p). Give b(a(j)).\nAnswer: 99*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxbxxxbxxxxbxxxxxx?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.452669 years?\nAnswer: 0.002452669","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 35 = 2*h - 4*u, 5*u - 5 = -3*h. Solve -30 + h = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5023, 5, 14, 0.\nAnswer: -5023, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*m - 5*x, -4*x = m - 3*m + 18. Let i be (48 - m)*14\/5. Let h be (-42)\/4*4\/(-3). Calculate the greatest common factor of i and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2. What is z(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52987*i - 17691*i - 17692*i + i**2 - 17604*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z**(-7)*z)))**24)**(-47))**(2\/35))**(-11) assuming z is positive.\nAnswer: z**(-148896\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 57. What is the highest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/4 - 4231959*z**2\/4 + 23275995*z\/2 + 27507948 = 0.\nAnswer: -1410664, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 1056456?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -21)*(-3)\/(-3). Let y be q\/(-6) + (-5)\/10. Let b(t) = -2*t**3 - 6*t**2 - 4*t - 6. Calculate the remainder when b(y) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/1 + (-120)\/(-32). Let x be (-4)\/(-9)*3\/14. Which is the closest to -0.1? (a) x (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104040 and 38505.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -51 - 42*1740\/(-1421). Let 0 - 15\/7*c - k*c**2 = 0. What is c?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 3. Let x be h(-1). Are x and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 - 13*v - 1139. Give b(0).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*s + 10*s**4 + 2 + 49*s + 56*s - 3*s**2 - s**3 + 0*s**2 to the form w*s**3 + m*s**4 + c*s + a*s**2 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 11*p = -r - 46, 3*r = -3*p - 18. Let s(d) = -d**2 - d + 7. Let t be s(-4). Let f = 1 + -2. Sort f, t, p in descending order.\nAnswer: f, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 388971711*t**5 - 419*t**2 - 2*t + 117.\nAnswer: 23338302660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 670\/(-4)*(-12)\/(-15). Calculate the common denominator of p\/3*(-6)\/8 and -101\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*f**3 - 1826*f**2 + 20*f + 1826*f**2 to t*f**3 + d*f**2 + m + p*f and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7637?\nAnswer: 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffgfgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/66 and 55\/3528.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.9 + -36. Let u = 3.2 + 0.8. Let n = u - m. Which is the second biggest value? (a) n (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -111, -39, -2 in decreasing order.\nAnswer: 11, -2, -39, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164*r**2 + 165*r**2 + r**3 + 0*r**3 + r**3 + 3*r**3 - 5*r**3 + 65*r**3 + 800 - 800 + (-r - r**2 + r)*(-3 - 2*r + 3) + 4*r - 4*r + r**3.\nAnswer: 68*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -29. Suppose -3*j + 19 = 5*z, -z + 3*j + d = -0*z. Let x be (-12)\/(-30) + (-492)\/(-20). Calculate the highest common divisor of z and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -9 (c) -5 (d) -31 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - 105. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 90*z**3 - 7830*z**2 + 10*z - 861. Give t(87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767, -2873, -6333, -11159, -17363?\nAnswer: -24957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -532 at least -533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/(10\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10445\/12 + -871. What is the common denominator of l and 97\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c**(-1\/14)*c))\/c*c*c*c*c**(-12)\/c)**(-8\/9))**(-46) assuming c is positive.\nAnswer: c**(-25576\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:46 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 912*q - 1443*q + 39825 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 - 6*t + 80\/13.\nAnswer: -2*(t - 1)*(t + 40)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 2046 = -69*x - 5*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/9 + (-2)\/3. Suppose 7*u - 2*u + y - 42 = 0, -5*u - j*y = -39. Let q be (u\/2 + 0)*20. What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - (80999996\/(-18))\/1. What is t rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + 0)**2 + 2*1*sqrt(11) + -2*(1 + sqrt(539)).\nAnswer: -16*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-911 + 911 + 1379*l)*(2 - 2 - l**3)*(-1 + 1 + 2*l + (2*l + 4*l - 4*l)*(-3 + 3 + 2)).\nAnswer: -8274*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + ((sqrt(700) + -2 - sqrt(700) - sqrt(700) - sqrt(700)) + 5)**2) + (sqrt(84)*1*4 + sqrt(84))\/((sqrt(144)*-1)\/sqrt(12)).\nAnswer: -365*sqrt(7) + 8433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119398?\nAnswer: 2, 59699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-15))\/(4\/60*-3). Suppose x*a + 85 = 69. Calculate the remainder when 16 is divided by (-108)\/a*4\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - 7) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10103*x**3 + 17791*x**3 - 9091*x**3.\nAnswer: -1403*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189.4 + 192.438. Let w = -0.062 - j. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002734 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8 - -4.38. Let y = -0.88 + r. Which is the closest to 0? (a) y (b) -1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/24 + (-7624)\/(-64). Suppose 120*g - 3 = x*g. Solve -5*q + 19 = -g*i, -1 = -4*i + 2*q - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33.02 or -0.06?\nAnswer: 33.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 40 = 30*h + 5*s, 4*h - 64 = -s. Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.003 and -8088618?\nAnswer: 8088617.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -39. Let q(t) = -4*t + 3 - 19 + l*t - t**2 + 3*t. Let z = -2 - -2. Determine q(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168559 is divided by 41985?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13606 is divided by 3396.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - w**2 + 2*w - 2. Let t be m(1). Suppose -3*z = t*z + n + 1, 2 = -3*z - 2*n. What is the fourth biggest value in -2, 1\/8, z, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**3 + 6*b**2 + 6*b + 5. Let u(g) be the second derivative of -g**5\/20 - g**4\/12 - g**3\/6 - g**2\/2 + 4*g + 89. What is 5*u(r) + z(r)?\nAnswer: r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {y: 2, d: 3, t: 1, a: 5, m: 6}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.1. Which is the closest to 0.1? (a) 5 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2766.011 millilitres?\nAnswer: 2.766011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.5, 238936, 5 in increasing order.\nAnswer: 0.5, 2, 4, 5, 238936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from whzhhtkhktrz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**3 + 13*x**3 - 1 - 7*x**3 - 9*x**3 + 13*x**3 to a*x + y*x**3 + d + g*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -295, -2, -3 in descending order.\nAnswer: 5, 2, -2, -3, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*a - 109326 = 423*a. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -o + 3*k, -5*o + 3*k + 9 = 0. Suppose 4*a - 15 + 36 = -w, o*a - 4*w - 8 = 0. What is the nearest to -0.1 in -2, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p - p)*(3297 - 672*p**3 + 2221*p**3 - 3297).\nAnswer: -3098*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 57948 = -23*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34668 rounded to 3 decimal places?\nAnswer: -0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 39720.25 to the nearest 100.\nAnswer: 39700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43191?\nAnswer: 3, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 40*u - 30. Calculate the smallest common multiple of 284 and u.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39778 - -27236. Let m be (1932447\/(-616))\/(1\/4). Let b = m - x. What is the common denominator of 11\/4 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 635369*m - 635369*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3597, 7479, 11637, 16071, 20781, 25767?\n\"Answer: 138*w**2 + 3468*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k + 2 = 0. Let m be k\/2*(-9 + 23). Let y = -15.6 + 20.6. Which is the closest to 0.1? (a) 3 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698 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: Let m = -2 + 2. Let g = 436.03 - 433. Let h = g - 0.03. What is the smallest value in m, h, 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h**3 - 20*h**2 - h + 391*h**5 - 3*h + 20*h**4 - 375*h**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2017*r - 550652. Give z(273).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.5, -1\/2, -0.3, -199, -90.\nAnswer: -199, -90, -1\/2, -0.3, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.4399719s to days.\nAnswer: 0.00014398115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 + -381. Suppose 3*v = -3, v + 20 = w*g - 3*v. Solve y - 3*z = -g, -4*y + 2*z + 2*z - 16 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1398 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -2\/5 (b) 695\/3 (c) 0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 224.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + h - 1. Let p be i(1). Let s = 22 - 21. Suppose 0 = 4*d - 3*c - 13, -p*d + 13 = 4*c + s. Solve -d*g - g + 40 = 4*b, -3*b + 5*g = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 >= 1442549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*w + 15 = -2*n, 126 - 45 = 81*w for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -176. Let o = k - -81. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(10\/30)\/(3*(-2)\/(-54)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3806 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640 = -10390*f + 10420*f for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 105 + 30 = 0. Calculate the greatest common divisor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 + 324 = 5*o + n, -2*o + 2*n = -4. Put 48, 5, o, 4, -4 in decreasing order.\nAnswer: 48, 5, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.14 - 0.83. Let l = 13.69 + k. Is l > 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05157 + -0.0515684012. What is m rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 0.09 (c) 4 (d) -169\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -636 (base 8) in base 9?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*q - 6*u + 41, -5*u = q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 + 24. Let r(q) = -q**2 + 1. Let w(v) = -f(v) + 24*r(v). Let s(d) = -5 + 5 - d**2 + 2*d**2. What is s(w(y))?\nAnswer: 256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let w(c) = 3*c + 19 + n*c - 15. Let s(q) = 3*q + 2. Calculate 5*s(d) - 2*w(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366977591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*b = -3*j + 25, -5*b - 20 = -4*j. Let n = -1190 - -1214. Solve -u + 2 = 0, j*m + u + n = 3*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 25. Suppose q = -3*x - 3, -l*x = -3*q + 4 + 1. Which is bigger: x or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 2 = -50*v. Suppose 4*g - 37*k = -39*k + 60, 60 = v*g - 3*k. What is the remainder when 569 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 - (-107125)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3056 times 0.3\nAnswer: 916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + 6 + 0 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 160?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8487 = 7*m + 2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(980)*1 + 5 - (sqrt(980) + ((sqrt(980) + 2)**2 + sqrt(980) - sqrt(980)) + 4)) + -4).\nAnswer: -2961 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1931\/74 + -22\/37. Let p = 1336 + 1441. Let g = -27893\/10 + p. Calculate the common denominator of g and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 7*m + 26 + 0*m - 22 + 0*m.\nAnswer: 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 5 (c) 0.019 (d) 3 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 2:10 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*f - 8 = 0, -f = 2*h - 8 + 1. Which is the third biggest value? (a) -0.4 (b) -0.2 (c) -3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 6112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 370697.\nAnswer: -37069.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 52197 = -5*o - 8447, -2*k = 5*o - 43729. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234*((-21)\/(-6) - (-4)\/4) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 1365 = 10*l. Calculate the lowest common multiple of (12\/9)\/((-10)\/l*1) and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/(-234))\/((-3)\/1)*(-9)\/26.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -140. Suppose -k - 3*k = -2*a - x, -k - 4*a + 23 = 0. Suppose -6*z + k = -15. Solve -19 = -4*t - 3*h, -z*t = -4*h - 4 + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3495952 + 0.054\nAnswer: 3495952.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 43. Let q(w) = -2*w + 22. Let x(c) = -3*p(c) - 5*q(c). Let s be x(8). Find the second derivative of s*u - 13*u + 42*u**2 - 70*u**2 wrt u.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1679 - 3.97251\nAnswer: -1682.97251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 - -1250. List the prime factors of j.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3807625710706 - -7.\nAnswer: 3807625710713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12560\/7 + -1790. Sort 0.4, m, -2\/11, 5 in decreasing order.\nAnswer: 5, m, 0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5271613 minutes?\nAnswer: 31.629678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/2)\/(5 + -4) - -3121. Let k = t + -2086. Let b = k - 577. Round b to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-11))\/(m**0*m*m)*(m*m\/m**(2\/5))**(10\/11) assuming m is positive.\nAnswer: m**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*u + 2*u - 4*r, 5*r + 20 = -u. Suppose -u*d - 26 = 24. Let p = d + 12. Put p, 0, -3 in decreasing order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*c**2 + 103*c**2 + 151*c**2 + 225*c**2)*(-4 + 5 - 4).\nAnswer: -1302*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -59. Let o = x - 16.999912. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 204413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from {j: 4, e: 6, i: 3, q: 2}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:20 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:02 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-1 - sqrt(85))*-3)\/(5*sqrt(80)).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 14. Let k = 0.17767 + 4.82233. Let a = 0.5 + 0. Sort t, a, k in decreasing order.\nAnswer: k, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7775, 15579, 23395, 31229, 39087, 46975, 54899, 62865?\nAnswer: 70879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-5)\/30)\/(((-8024)\/(-59))\/(-7344))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from gduddddrrrrrrddrdrr?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 13) in base 6?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*v + 36, 17*t - 5*v = -18*t + 32*t - 57 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 3, x: 2, o: 6, b: 1}. Give prob of picking 2 u, 1 x, and 1 e.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12768783.\nAnswer: 3, 4256261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 - 5 + 1 - 367*u**4 - 209*u**4 - 6 - 3*u wrt u?\nAnswer: -6912*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 259 = -l - 155, -7*f = -4*l - 151 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 7, a: 3, q: 5}. Give prob of sequence ssaq.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 5*m**2 - m**2 - 85 + 3*m**2.\nAnswer: -5*m**2 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = 2*f, 30 = 2*q + 4*f. Suppose 13 = 5*z + 4*v - 23, -5*z = q*v - 40. Suppose k + o + 0 = 2, -z*k - 5*o = -10. Solve c - 5 + k = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50875 to the nearest 100.\nAnswer: 50900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14146370 is divided by 1251.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 10*l**4 - 2\/5*l**5 + 15*l + 93 + 0*l**3 + 0*l**2. Differentiate j(t) with respect to t.\nAnswer: -8*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/96 and 127\/120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:38 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/7)\/(10\/35). Let y = 11 - r. Find c such that -1\/3*c**y + 0 - 1\/3*c + 2\/3*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13125, 26547, 39977, 53415, 66861, 80315, 93777?\nAnswer: 107247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -172?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 273a89 (base 13) in base 11?\nAnswer: 59a481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let l be (770\/(-7))\/(q\/(-1342)). Let j = 24405 - l. What is j rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011202132 (base 4) in base 14?\nAnswer: -75b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {y: 1, k: 1, q: 2, o: 1, c: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424686465.\nAnswer: 3, 5, 7, 1348211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 - 81\/28 and (-6)\/(-27) - (-1)\/3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 47 - 36 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 4*q + 22*b + 638, 106 = 5*q - 5*b - 46 + 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4274400, -4274401, -4274400, -4274397, -4274392?\nAnswer: -4274385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/8 (b) 14 (c) 15 (d) 2 (e) -4\/7 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t = 25 + 217. Let b(o) be the first derivative of o**3 - o - 9 + 1\/2*o**t - 1\/4*o**4. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 140.1. What is the fourth smallest value in 2, r, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491802.\nAnswer: 2, 3, 81967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -4 (b) 0.7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = q + 114 + 28, -2 = q. Suppose -2 = -r + 56. Let z = r - f. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -20900739664702?\nAnswer: 20900739664694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 417 = -4*q, 3*d = -2*q + 6*d + 213. Suppose 5*j - q = -0*j. Let k = j + -17. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 2*d - 2*i = 51, 2*d - 21 = -0*d - 15*i - 20 - 206 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14434\/(-2625)*(1 + 1009\/(-1006)). Let x = h - 1\/2515. Which is greater: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*118\/(-8) - 7\/(-14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 9*q + 4*q)*(4 + 1 - 2) + q + 0*q + 0*q + (2*q - q - 2*q)*(2 + 3 - 3))*(-5 + 1 + 3).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptipnpaanpnqppt. Give prob of picking 2 n, 1 q, and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-475)*2\/(340\/35)*20\/14?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 6*f - 10. Let s(x) = 0*x + 7 - 4*x**2 - 3*x - 2. Let i(g) = -3*h(g) - 7*s(g). Let p be (1 + 1)*(1 + -3). Calculate i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*o - 185 = 35. Solve 92 = 25*s - o*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 2 i when four letters picked without replacement from {f: 3, e: 2, i: 5, m: 2}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 227*s + 5794. What is x(73)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -110*r + 12*r + 2687328. Is r a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0145985262 rounded to 5 dps?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f - 5. Let a be (-78)\/(-195) - ((-207)\/15)\/3. Calculate g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(36\/(-8) - -2). Let d be 20\/25 - (-1)\/5. Let c be (v - 4)*(d + 2). Solve 0*f = c*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 18715*r - 18656*r + 0.\nAnswer: 59*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*y - 2, y = -2*o - 0*y + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dpgppdppdpbb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001774 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29054253 - 0.01034\nAnswer: -29054253.01034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1941*w + 11. Let p(x) = 1938*x + 15. Determine -4*j(q) + 3*p(q).\nAnswer: -1950*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -4*v + 5, 0 = -5*f - v + 1. Suppose 8*n + 127 - 599 = f. What is the remainder when n is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 8*t**2 - 8*t - 6. Suppose 15 = 3*r, 0 = -0*m - m - 3*r + 18. Suppose 23 = m*z - 4. Let v be c(z). Solve w + v*w - 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*v + 1321 - 1339 = 0, -4*q - 23 = -5*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i - 3*i - 2*i - 6*i - 6*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 37*x - 9. Let z be a(9). Let m(c) = c**3 - 6*c**2 - 5. Let o be m(6). Sort z, -1, o in descending order.\nAnswer: z, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15724 by 2.\nAnswer: 7862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -74*k - 99*k + 159*k - 71*k. Let g(q) = -3*q**2. Calculate g(l(y)).\nAnswer: -21675*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3221\/3876290 - -1\/14795. Let a = 2613\/9170 - n. Factor -2\/7*c**4 + 4\/7 + 6\/7*c**2 + 10\/7*c - a*c**3.\nAnswer: -2*(c - 2)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7667*f + 105 = 7664*f + 10*x, f = 3*x - 33 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(324)\/sqrt(9))\/sqrt(12) - ((-2*sqrt(75) + 5 - sqrt(75)) + sqrt(75) - sqrt(75))**2.\nAnswer: -700 + 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 732812 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*n - 13*n - 4*j + 5, -2*n = 3*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)*m)**(1\/22)*m*m**6*m**(-2\/7))**(2\/11) assuming m is positive.\nAnswer: m**(3130\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(6)\/sqrt(2) - sqrt(3)) + -4 - (sqrt(75) + -3)))**2 + (-6*(-4*(sqrt(1728) - (sqrt(1728) + -2 + sqrt(1728))) + sqrt(1728)))**2.\nAnswer: -69080*sqrt(3) + 1557808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 - 11*d + 161.\nAnswer: -4*d - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2061237\/1990 - -5179\/5. Is 1\/2 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58718)\/(-15543))\/(-3 + 4)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -5*y**3\/3 + 3720*y**2 - 2767680*y - 1480. Factor x(l).\nAnswer: -5*(l - 744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v + 16. Let u be w(5). Let i = 8 + -11. Let q = 2 - i. Which is the biggest value? (a) q (b) u (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6433, 2, 2\/15?\nAnswer: -6433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + 3134?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5440*o**3 + 8*o**2 - 6*o + 2. What is the thousands digit of m(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 65\/31823?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35990?\nAnswer: 2, 5, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 35*m**3 + 31*m**2 + 8*m + 15. Let o(u) = -18*u**3 - 16*u**2 - 4*u - 6. Let v(b) = 5*o(b) + 2*q(b). What is d in v(d) = 0?\nAnswer: -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwqqqqawawqaaanq. What is prob of picking 2 a, 1 u, and 1 n?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w. Let q(i) = -3651459*i. Determine q(s(x)).\nAnswer: 40166049*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74 - 3b55b?\nAnswer: -3b5cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7160898*v**3 + 648875*v**2 + 2 wrt v.\nAnswer: -42965388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 1 - 3*q**2 - q**2 + (-3 + 0 + 0)*(-q**2 - 14*q**2 - 4*q**2).\nAnswer: 54*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -22, -20, -18, -16?\n\"Answer: 2*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*p**2 - 2*p - 22.\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0 + 0 + r. Let v(y) be the second derivative of -y**6\/90 + y**3 - 5*y. Let x(n) be the second derivative of v(n). Give x(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/114 and -41\/6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/5)\/(-1) - (-45568)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 130. Is -71 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891660?\nAnswer: 2, 3, 5, 37, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -105, 0.1, -4\/7, -2\/7 in increasing order.\nAnswer: -105, -4\/7, -2\/7, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - 1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4529*k + 9066. Let i be h(-2). Let b(l) = -l**3 + 10*l**2 + 5*l - 2. Let a be b(9). What is the greatest common factor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0 + 6*q - 1\/6*q**4 + 0*q**3 + 0*q**2. Let y(c) = 51*c. Determine y(b(p)).\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3070860 divided by 1270.\nAnswer: -2418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u + u = 20*u + 4840. Which is the second smallest value? (a) u (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(2205\/140))\/((-4)\/39)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 78 = 3*q. Suppose -u = -0*v - 3*v + 8, 4*u - q = -3*v. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 3*k - 7 + 3*k + (3*k - k - k)*(1 - 3 + 1).\nAnswer: k - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:57 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-310)\/(-11) - 16\/88. Suppose -11*b + 9*b = -g. Suppose -b*p = -3*p - 957. Calculate the remainder when p is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**2 - 8156*y + 98448 = 0?\nAnswer: -2051, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 335*i - 72. Let g(w) = 205690*w - 44220. What is 6*g(p) - 3685*l(p)?\nAnswer: -335*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20) - (-167)\/5. Let k = -19 + m. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -405\/4, -2, -2\/3, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17680\/37128*(-21)\/(-4)*12\/(-295)?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**4 + 8*w**3 + 5*w**2 - 4*w. Let y(v) = 57*v**4 + 63*v**3 + 39*v**2 - 33*v. Let i(j) = -33*k(j) + 4*y(j). Factor i(u).\nAnswer: -3*u**2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -1 + 11)*2\/4. Solve 0 = -v + 8 - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10520066 or 1?\nAnswer: 1\/10520066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145\/14 + -55\/7. Are -2 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**4 - 3*d**2 + 469*d - 1 wrt d?\nAnswer: -72*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**3 - 13*m**2 - 456*m - 9. Let b(d) = -2*d**3 + 3*d**2 + 114*d + 2. Give 9*b(y) + 2*l(y).\nAnswer: 2*y**3 + y**2 + 114*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 11979.457.\nAnswer: 23958.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4314195 decades?\nAnswer: 0.04314195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 3*d**5\/20 + d**4\/6 + d**3\/6 - 2*d**2. Let m = -84 + 88. Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6808813 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Suppose -5*t + 5*z = -5, -3*z = -2*t + 2*z - 4. Suppose 24 = 3*a + t*a. Let r(o) = -14*o + 14*o + a*o**2. What is r(d(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 4\/1 + 68. Let l be (y\/(-2))\/(15\/(-20)). What is the highest common divisor of 115 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792148.5 seconds in nanoseconds?\nAnswer: 792148500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0 - 59\/4*d**4 + 0*d**3 + 46*d + 54*d**2. What is the first derivative of n(t) wrt t?\nAnswer: -354*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 3*a + 8. Calculate c(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/110*(-6)\/9*6\/4\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156789.\nAnswer: 3, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = 5*p - 35, -1042*h + 1045*h + 14 = p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2016 + 0?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = g + 29, 6*p - 2*p - 5*g = 17. Suppose -2*n = -4*n + 14. Suppose n*y - p = 3*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 93, 175, 283, 417?\n\"Answer: 13*g**2 + 17*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -48*i - 795. Calculate the remainder when 1593 is divided by o(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + (sqrt(49) - (-1*sqrt(196) - sqrt(196))\/sqrt(4)))\/(sqrt(7) - (1*sqrt(1008) + sqrt(7))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066140?\nAnswer: 2, 3, 5, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7)\/a)\/a*(a\/a**6*a)\/a)\/(a**(2\/9)*a)**10)\/(a\/a**(-5)*a**(2\/11)\/a*(a*a**(1\/2))**(8\/9)) assuming a is positive.\nAnswer: a**(-3241\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 74.9 (b) 3\/8 (c) 1 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/2 - -4. Sort 1, -2\/43, y in ascending order.\nAnswer: y, -2\/43, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose 5*g + 7*n = 3*n + 38, f*g = -3*n + 18. What is the smallest common multiple of (-4)\/(4\/3) + 23 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -4, 4, 2\/333, 2\/7, -0.2 in ascending order.\nAnswer: -4, -0.2, 2\/333, 2\/7, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 8*z + 55. Let g(o) = o**3 + 3*o**2 + o + 2. Let y be g(-4). Is h(y) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7636 - 7636.2. Which is the biggest value? (a) 88 (b) -1\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 - -283. Which is the closest to 0.8? (a) -4 (b) j (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 34*o - 275. What is z(39)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(19) - sqrt(19))*5)**2*5*6.\nAnswer: 128250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 29*f. Let g(n) = -2*n**2 - 14*n - 7. Let c(u) = -u**2 - 6*u - 3. Let j(m) = -7*c(m) + 3*g(m). Give j(k(i)).\nAnswer: 841*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -17*o + 10. Let u(b) = 7*b - 44 + 22 + 5 - o*b. What is the units digit of u(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 176 - 601 = 0. Calculate the remainder when l is divided by (-38908)\/(-1562) - (30\/(-55))\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9400, -19054, -28970, -39154, -49612?\n\"Answer: -z**3 - 125*z**2 - 9272*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -6*n - 9\/2*n**2 + 9. Let r(w) = -8*w - 5. What is 5*g(h) - 6*r(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 37*f - 7. Let q be (-208)\/39 - 3\/(-9). Let i(r) = 19*r - 4. What is q*i(x) + 3*y(x)?\nAnswer: 16*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4 + 14 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 7*y + 13*y**2 - y - 3*y to m*y + b + q*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*k + 27. Round k to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 74127 - 74127.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + u + 2 - 9, -u = -4*l - 10. Let t(n) = -n**3 - 2*n**2 + 5*n + 6. Let r be t(l). Suppose r = -3*j - 2*j. Solve j = 3*z - 6 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0 + 0)*(-296 + 12*h**3 + 296) - 8*h + 8*h + 5*h**5.\nAnswer: 29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18130*r**2 - 72520*r. Let f(j) = 2*j. Give -b(o) - 36260*f(o).\nAnswer: -18130*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -3, 1, 9761, -5, 2, -1 in descending order.\nAnswer: 9761, 2, 1, -1, -3, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -22051*c - 2734336. Determine r(-124).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alwlvlvlwlallvw. What is prob of picking 3 v and 1 w?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/36)\/((-70)\/(-560)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.04 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29846, 125571, 285126, 508517, 795750, 1146831, 1561766, 2040561?\nAnswer: 2583222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1208, 2\/13, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -61) + (-6 - -22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 3*v + 4. Let d be g(-4). Suppose r + d = 3. Suppose -r*z - 4*i = 72, 4*i - 3 - 45 = 2*z. Calculate the common denominator of z and 4\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -11320?\nAnswer: 11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1089699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96395.\nAnswer: 5, 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - v + 10. Let t be k(6). What is the third derivative of -4 - 18*d**4 + 48*d**2 + 2*d**3 + t + 4*d**2 + 0 wrt d?\nAnswer: -432*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196265553 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/119385 and 187\/150.\nAnswer: 1193850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -18. Let m = -12.2 + g. Which is bigger: 0.4 or m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 203585?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Let m be k + 2 + -2 + -1. Suppose -m*j = -4*v - 3 + 19, 4 = v - 4*j. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*g - 196*g + 348726. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18426548.\nAnswer: 2, 7, 41, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42077364 and 33.2.\nAnswer: -42077330.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117*(-10)\/6*35\/(1400\/(-16))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/10? (a) 79 (b) 4\/9 (c) -355 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680708.\nAnswer: 2, 7, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/430?\nAnswer: -9\/430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**3 + 44\/7*x**2 - 8\/7*x + 0 - 20\/7*x**5 + 68\/7*x**4 = 0. What is x?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -12)*(-4)\/2. Let c = -23 + r. Suppose 6*w + 5*z = 9*w + 5610015, c*w + z + 5609997 = 0. What is w rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 65 = -5*s. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4, 20*k + 4*d - 20 = 22*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - ((5 + -20 - -13) + 6 + -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 10*c**2 + 16*c. Let s be d(8). Solve 3*l - 9 = -4*a, -4*l - 5*a = -s*a - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/42*-3*-12. Let g be (-1 + (-18129)\/(-9))*h. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -105, -154, -187, -198, -181, -130, -39?\n\"Answer: i**3 - i**2 - 63*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1168 = 5*h. List the prime factors of h.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = 4*g. Suppose 0 = 2*v - g*n + 40, 0*v = 2*v - 5*n + 35. Let p be ((-79250000)\/v)\/((-1)\/(-12)). Round p to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*b = 0. Suppose b = -5*r + 12 + 1043. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p + 5\/6*p**3 + 1\/24*p**4 - 2*p**2 + 4. Let f(j) be the second derivative of m(j). Find the first derivative of f(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45473504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -18403.\nAnswer: -4\/18403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 15867330.28 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 - 26135*y = 0.\nAnswer: -5227, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) - 8\/(-3). Suppose -3 = b*l - 9. Suppose -l*u - m = -99, 6 = -4*u - 2*m + 140. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 237*o + 31617. Calculate b(-131).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from {y: 2, q: 1, e: 1, w: 2, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:56 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 554600 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5877290814 to the power of 1\/2, to the nearest integer?\nAnswer: 76663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 24. Let w be (416\/z - -4)*-3. Suppose x = 8*x - w. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9976 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1233 + -39421\/32. Find the common denominator of 97\/20 and p.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkkkkkkkkkkk. What is prob of sequence kk?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.79 - 0.89. Which is the nearest to k? (a) 4\/3 (b) 2\/13 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-828)\/60)\/(-69))\/(((-15)\/66)\/(-5))?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 3, -9, 1\/6, 5 in decreasing order.\nAnswer: 93, 5, 3, 1\/6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.99 - -7.85. Let x = -6.14000622 - v. What is x rounded to 7 decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556*c = -126099 - 32373 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-620)*(1 - 17\/9)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 - 3*l**3 + 12)*(2*l + 2*l - 6*l).\nAnswer: 6*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gssg when four letters picked without replacement from ssggggsggsssg?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -47\/4 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 781\/110 + -12 + -5 + 1 and (1 + (-21)\/20)*6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4 and 53\/118980.\nAnswer: 118980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l = 1, -4*u - l = -1. Sort -3, 7, u in increasing order.\nAnswer: -3, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901997.7ms to nanoseconds.\nAnswer: 901997700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13410078?\nAnswer: 2, 3, 11, 203183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34016 and 3568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 48*a**2 + 570*a + 279. Let i(z) = -3*z**2 + 3*z - 3. Let b(y) = -c(y) - 9*i(y). What is s in b(s) = 0?\nAnswer: -28, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.011 <= 6458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/2 + 53\/6. Let p = 2 + -3. Let m be (-1)\/35 + 4\/(-10). What is the nearest to 0.1 in p, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6642*i + 10 - 4 + 8500*i.\nAnswer: 1858*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**3\/3 - 2*w**2 + w. Calculate the remainder when 18 is divided by y(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let a(j) = 0*j - 4*j + 14 - 3 + 3*j. Determine a(l(m)).\nAnswer: m + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 64*m**3 + 12*m**2 + 9*m - 1. Let y(c) = -65*c**3 - 10*c**2 - 7*c + 2. What is 3*o(t) + 4*y(t)?\nAnswer: -68*t**3 - 4*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) + -1 + 153\/102. Suppose 0 = b + 3*w + 12, 3*b - 2*w + 6*w + 16 = 0. Solve b = 3*u - s - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 73 - 80 = a, -5*m + 30 = 0. Suppose -3*b + 4 = 19. What is the biggest value in -4, b, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 9 + 25 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*8\/14*-7. Let m be ((-1)\/2)\/((-6)\/a). Solve -y + 4 = 4*y + m*g, 8 = y - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0277699 rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-6)*288\/240?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) - (0 + sqrt(68))))**2 + ((sqrt(68) + 1 - sqrt(68))*-6)**2 + sqrt(68) - ((2 + -1*sqrt(68) + sqrt(68))**2 - (2*sqrt(68)*2)**2).\nAnswer: 2*sqrt(17) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.933 (b) -54 (c) 0 (d) 2\/9 (e) 2\/15 (f) 175\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2116917 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7467, 14935, 22397, 29853, 37303, 44747?\n\"Answer: -3*b**2 + 7477*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11044115 - 11043834.99797. Let j = r + -280. What is j rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312*-16.7.\nAnswer: 21910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 14) in base 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -29. Let v be (-15)\/(-3)*(-20)\/(-5). Let j = v + g. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 875530*v + 875535.\nAnswer: -5*(v - 1)*(v + 175107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/22 and 99\/1882.\nAnswer: 20702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 790 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 438761 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 188*n**2\/9 - 2290*n\/9 - 700\/3.\nAnswer: 2*(n - 105)*(n + 1)*(n + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739639227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/27 in 3\/5, -3\/4, 1, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912850 < 4912859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -377622 (base 9) to base 2\nAnswer: -110111110101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -47) + 47 + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*a + 805 - 100, -2*a + 3*l = -292. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**6\/120 - 92*s**3\/3 + 16*s - 1. Let g(v) be the second derivative of h(v). Let n(r) = -2*r**2 + 47*r. What is n(g(y))?\nAnswer: -18*y**4 - 141*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22470 and 696570?\nAnswer: 696570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d - v - 1, 3*v = -d - 7. Suppose -2*f - 5*x - 19 = 0, -d*x + 2 = -4*f + 24. Find the first derivative of 2*z**3 + 0 + 0*z**f - 2 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w + 4. What is x(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + -1 + ((3*sqrt(19))**2 - sqrt(19)) + -5.\nAnswer: -sqrt(19) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10093218\/301 - ((-1)\/21)\/((-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**2 - 8*s**6 - 2*s**2 + 7*s**2 wrt s.\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182285\/88 + -8283\/4. Let y = 27\/11 + w. What is the common denominator of y and (-9)\/(-6)*(-103)\/(-21)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**8\/336 + 4*m**5\/15 - 15*m**2\/2 + 10*m. Let y(i) be the first derivative of r(i). Find the third derivative of y(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8*w - 17 = -3*w, 4*l - w - 11 = 0. Let b = -51 + 33. Let x = 22 + b. Solve q + 16 = x*f - 0, l*q = -2*f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77855 (base 10) to base 15\nAnswer: -18105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-4 - 0 - -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.669 * -2226\nAnswer: -5941.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660193.32 rounded to the nearest ten thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 129, 160, 213, 294, 409, 564?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 2\/15 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6582 divided by -1097?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 75. Let d(a) = 2*a - 370. Calculate t(d(u)).\nAnswer: -4*u + 815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1767759, -1767757, -1767755, -1767753?\nAnswer: -1767751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-346)*550\/(-1650).\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -269, -253, -219, -161, -73, 51, 217?\n\"Answer: y**3 + 3*y**2 - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -9. Let h = u - -7. Let v = -1.2 - h. Sort v, -1\/3, -1\/8 in ascending order.\nAnswer: -1\/3, v, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137493, -274946, -412357, -549726, -687053, -824338?\n\"Answer: 21*k**2 - 137516*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:40 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1*sqrt(2057) + sqrt(34)\/sqrt(2)*-4 + 0)*-3)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Suppose w + 5*b = 32 + 39, -w - 2*b = -59. Let h(l) = -3 + 137*l**2 + 3 - w*l**2. Give g(h(v)).\nAnswer: -14792*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:50 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4313 + -8223. What is p rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 - -131 - (19 - 0) - -31\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/183 or 0?\nAnswer: 5\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 1093*y\/3 + 2182\/3.\nAnswer: (y - 1091)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 37.\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20\/3 - 6. Which is the nearest to -0.1? (a) -3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*a = -26, 26*a = -2*h + 22*a + 14. Calculate the remainder when 3210 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 - 172288483*b**3*s - 272592*s - 72 wrt b.\nAnswer: -4*b**3 - 516865449*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14350, -14320, -14274, -14212, -14134, -14040, -13930?\nAnswer: -13804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 3, u: 1, n: 5, c: 4}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/8 - 19*b**2\/2 - 30*b. Let m(f) be the first derivative of r(f). Let j(l) = -2*l**2. Determine m(j(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnn when three letters picked without replacement from nbssnntnskjt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -92 - (2 - -19 - -8)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w - 115. Let q(l) = -5*l - 58. What is -3*n(i) + 5*q(i)?\nAnswer: 5*i + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 12. What is the remainder when 11 is divided by y\/(-4)*(4 + -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1091*v + 1083*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36926, -36925, -36924, -36923?\n\"Answer: l - 36927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**6\/135 - 2*k**5\/45 - k**4\/9 - 4*k**3\/27 - k**2\/9 - 4*k. Factor n(t).\nAnswer: -2*(t + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 784.2426 months?\nAnswer: 6.535355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = i + 2*j, -2*i + 150 = -i + 4*j. Let v(t) = -117*t**2 - 3*t + 1. Let n be v(1). Let m = i + n. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 76, 115, 154, 193?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 134, 1203, 4240, 10289, 20394, 35599, 56948?\n\"Answer: 174*l**3 - 60*l**2 + 31*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 + 0 = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 95*m**2 - 46*m - 4808. Determine b(96).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3.3, 5.3 in increasing order.\nAnswer: -3.3, 5.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 2\/4*16. Let f = 5.1 + -5. Sort 0, f, g in ascending order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-455)\/20. Suppose a - 3*q = t, 5*a = a + 4*q + 84. Let l(z) = -8*z + 10. Let s be l(1). Solve 2*n + s*n - a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(704))**2.\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 460 divided by 1450025\nAnswer: 92\/290005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k**2 + 1. Let f be x(-1). Let u(s) = s**2 + 12*s - 9. What is the remainder when 6 is divided by u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71125 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 15855012046456?\nAnswer: -15855012046455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6504635.\nAnswer: 5, 1300927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29199 and -7.\nAnswer: 29192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 - 25 - 7)*(2 + 5*c - c - 2*c)*(c**2 + 4*c**2 - 4*c**2).\nAnswer: -296*c**3 - 296*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1012284 and 39\/32.\nAnswer: 8098272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21.2 and 0.20078806?\nAnswer: 21.40078806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1512)\/140)\/(3\/(-530))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -937.787 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13842, 30563, 47284, 64005?\n\"Answer: 16721*y - 2879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymmym. What is prob of sequence mmy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/4)\/(j*j\/(j\/(j*j**(-6\/19)))*j)*(j*(j*j**3\/j*j)\/j)**(2\/11) assuming j is positive.\nAnswer: j**(-1845\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -13. Let r = 15 - v. Which is the closest to -0.2? (a) r (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933466 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 62 = i - 6*u, 5*i - 6889 + 6584 = -5*u for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 2. Let s(u) = u**2 + 8*u + 10. Let k be s(-5). Determine o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(160)\/sqrt(4) - sqrt(80)\/sqrt(2)*5)\/((sqrt(64) - sqrt(64)*2*4)\/sqrt(8)).\nAnswer: 11*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let r(d) be the second derivative of 0*d**2 + 1\/6*d**3 - 7*d + 0. What is r(q(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/35 - 2*t**3\/21 - 25*t. Suppose x(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + j + 1. Let u be y(-1). Let b = -0.28 - -0.432. Let l = b + 0.048. What is the biggest value in u, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 22 = -2*g, -g + 3*z = 58 - 69 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0372704km?\nAnswer: 37270400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (-15 - 7) - -62.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51250 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7)*(62 + -64).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 35 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h*h**(-1\/20))\/h))\/(h*h**(1\/7)*h))\/(h**(2\/9)\/h)**(15\/2) assuming h is positive.\nAnswer: h**(1571\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 2*q. Let z be j(-2). Let k be 1 + ((-27)\/12)\/((-42)\/16 + 3). Sort -1, -4, z, k in descending order.\nAnswer: z, -1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(84)\/(sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(42))\/(-2*sqrt(162)))\/((sqrt(3) - (sqrt(75) - -1*sqrt(75)) - 2*(sqrt(3) - sqrt(12)))*4).\nAnswer: sqrt(7)\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 + 35*j**2\/2 + 55*j\/2 - 5.\nAnswer: -5*(j - 2)*(j + 1)*(6*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**7\/420 - x**5\/40 + x**4\/24 + 11*x**2\/2 - 3. Let r(o) be the second derivative of l(o). Determine b so that r(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/360 + w**5\/120 - w**4\/6 + 2*w**3 - 5*w**2. Let v(d) be the first derivative of s(d). Determine v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12820?\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*f**6 - 37644*b*f**3 - 398*b*f**2 + 2*b*f + 2*f**2 - 9 wrt f?\nAnswer: 240*b*f**3 - 225864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 + 2*p**2 + 2*p + 1. Let r be i(-1). Let f(x) = -x. Let h be f(-2). Differentiate -3 + h + r*u - u - u with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1 + (2\/570 - -1)). Let c = w - -2294. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 - 4.87. Which is the closest to -4? (a) -2 (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47979896 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 p when four letters picked without replacement from {p: 1, r: 1, g: 1, c: 3, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 12*y**2 + 3*y - 32. Let a be n(12). Which is greater: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 3123 = -11533. Let d = -472 - h. What are the prime factors of d?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -480*w**5 - 964*w**4 + 5752*w**3 + 3888*w**2 - 15328*w - 128 = 0?\nAnswer: -4, -2, -1\/120, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/9))\/k**(-4))\/(k\/((k*k*k**(3\/2)*k)\/k)*k\/(k\/(k**(-1)\/k)*k)) assuming k is positive.\nAnswer: k**(191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 772*h - 5432. Let j be r(7). Let o be (-28)\/6 + (-1)\/3. Sort o, 0, j.\nAnswer: j, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i + 1. Let t(n) = 2*n - 5. Let s be t(4). Let h(k) = -4*k - 1. Determine s*h(y) + 2*z(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (18\/14)\/(57\/19)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172336 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-15)*6 + -44. Let i be (-115)\/2 - 15\/10. Let g = i - -10. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.7 and -5570788.\nAnswer: 20611915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 288470\/8242*(-27)\/6*(-2)\/(-30)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -861928 by 215482.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*f**4 + 55440*f**3 - 1392999*f**2\/2 - 612297*f\/2 - 33075 = 0. Calculate f.\nAnswer: -3\/14, 14, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14507 - -14514. Solve 9*n + 52 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(6 - 5)*4. What is the smallest value in -9, o, -2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (286\/26 - 10)*(-10 - (-720)\/70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3500, -6954, -10532, -14234, -18060?\n\"Answer: -62*q**2 - 3268*q - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245)*-1*3)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2455.6978999 + -0.304.\nAnswer: -2456.0018999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-25) + (-772)\/(-110) + -7\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 15*b**4 + 640*b**3 - 20700*b**2 - 14080*b = 0.\nAnswer: -64, -2\/3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -105, -99, -87, -69?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 divided by -6?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652767, 2611094, 5874965, 10444374, 16319315, 23499782, 31985769, 41777270?\nAnswer: 52874279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*n**3 - 20\/7*n**2 - 16\/7 + 32\/7*n = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8107.315 millimeters to centimeters.\nAnswer: 810.7315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 108811157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/9))**44*(v\/v**2)**(-5\/2) assuming v is positive.\nAnswer: v**(661\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521*t = 1215*t - 1224 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/1760 and 71\/2216.\nAnswer: 487520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1778*r = 12*n - 1781*r - 60, -2*r - 19 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -493011 (base 13) to base 14\nAnswer: -337482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103654 times -454\nAnswer: 47058916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 45 = 5*i + 5*d, t*d = 3*d - 4. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 2\/5 (c) -3 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - l. Let b be p(1). List the prime factors of 0 + b - -3 - -26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*n + 23 + 3, -3*n - 2*f = -17. Suppose -2*u = n*q - 16135, 0 = q - 2*q - u + 5377. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:03 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-400)\/(-48)*6\/5. Calculate the greatest common factor of l and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 3618 = 86*g + 158 - 28 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-2 - 1) + -7 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40109 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 251*s + 1225. Determine y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -11*j**5\/40 + j**3 - j**2 - 106*j. Let p(h) be the second derivative of r(h). Let s(v) = -2*v. Calculate s(p(w)).\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**6\/3 + 8*m**5\/5 - 8*m**3\/3 - 2*m**2 - 11. Factor p(b).\nAnswer: 4*b*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1728\/(-405) - (1902\/(-135))\/(4\/(-12)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-32) - 85\/140. Sort 9, u, -2\/9, -3.\nAnswer: -3, -2\/9, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7944, 9159, 11174, 13989, 17604, 22019?\nAnswer: 27234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1747 + 0.0397. Let u = z - -1.06. Let b = 15.075 + u. Is 2\/7 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1 + (-5 + 4 - 1)*(0 - 3 + 4) + 0 + 2 + 0)*(85*p**3 - 32*p**3 - 101*p**3) to j*p + q*p**3 + y + n*p**2 and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 325*n - 19627. What is v(52)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4\/6 - 5*a**3\/2 + 3034*a**2. Calculate q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.3 + 73.5. Let h = 13 - z. Let i = -36 - h. Round i to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 43. Let s = 195 - z. Suppose 4*r - 6*r + 2*j = -48, 5*r - j - s = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 23. Let d be u(-9). Let o(l) = -l**3 + 4*l**2 - l + 9. Let r be o(d). Solve j - r = y, -y - y = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1029? (a) 3\/4 (b) -7 (c) -8\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*c**4 + 1 - 2*c**3 - 3*c + 0 + 219*c**4 to a*c**2 + x*c + i*c**3 + m + n*c**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 36 = -36. Suppose 104 = 5*z + o, 8*z - 3*z - 5*o - 80 = u. Calculate the lowest common multiple of 12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + c = -9, 4*l + 5*c - c = 28. Suppose 0*y = -5*y + l*s - 3, 0 = -4*s + 8. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:29 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/48 + (-81)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/14 + -25\/42. Let k = -1.8 - 0.8. Let u = k - -2.4. What is the biggest value in -0.1, q, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2531 - -2527. Sort -0.1, -2\/49, c in descending order.\nAnswer: -2\/49, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 less than or equal to 974\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150536 is divided by 633.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 7*g**2 - 11*g. Let p be t(9). Suppose -p = -7*m + 175. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 22 + 22 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26564 and 2017948?\nAnswer: 58520492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:25 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 + 6*d - 1. Let k be (34\/85)\/((-1)\/(-15)). Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45233.66kg?\nAnswer: 45233660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*-2*sqrt(50)*-2)\/((-6*-1*sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(11)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 66584*0.04\nAnswer: 2663.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*p - 1349*l**2 + 1556*l*p wrt p.\nAnswer: 2*l**2 + 1556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -16 + 5 + (17 - 6) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 49?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2770309 or -2?\nAnswer: -2770309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (5502\/(-252) - -33).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 3557.9104243.\nAnswer: 3557.9104243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.08 - -1.0658. What is h rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8454 + -388.\nAnswer: -389.8454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*w + 87. Suppose -15 = w*x + 2*x. Let p = -0.02 - -5.02. Which is the nearest to x? (a) 0.2 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10432 - 12625?\nAnswer: -23360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324557000.\nAnswer: 2, 3, 5, 13, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 5) to base 10\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - (-30)\/4. Let o(h) = h**2 - 4*h + 1. Let s be o(7). Let f = s - p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/7)\/h*h*h)\/h)\/h)**(-3)*(h**6)**(-4\/13) assuming h is positive.\nAnswer: h**(222\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12303 + -40732. Let y = 28456.021 + v. Let b = y + -27. What is b rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63211963 divided by -63211963\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (3 + (sqrt(52) + 0 + sqrt(52) + 3)*-1 + -3)**2 + -3).\nAnswer: -1050 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/855 - (-1072370)\/(-26647404). Let p = w - -1\/76573. What is the common denominator of 9\/14 and p?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 11 - 5)*(-3*g - g + 5*g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a = -32*a + 2627 - 606 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284 - -1986\/7. Let z = 3\/52 - 67\/260. Let l = 10 + -6. Which is the third smallest value? (a) z (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + sqrt(352)*2 + sqrt(352))*-3 + sqrt(352))\/(sqrt(33)\/sqrt(3)*1) + 0.\nAnswer: -44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 34 + 164*u**3 - 38.\nAnswer: 164*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, h: 2, c: 3, u: 4}. Give prob of picking 1 w and 2 c.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 2732 + 2806. Let q = x + -226. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4158\/168 + -24)\/((-3)\/6))\/(2\/52)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -22. Suppose 5*f - y = -32, -2*f + f + 5*y = w. Let i = 4 + f. Which is greater: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 8*w**2 + 96*w + 2. Let h(v) = 8*v**2 - 1. Calculate -2*h(o) - 2*y(o).\nAnswer: 4*o**3 - 192*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51050.\nAnswer: 2, 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*g + 5*c, 24*g = 20*g + c + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0972 + 0.098769. Round j to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -75, -71, -65, -57, -47, -35?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-14) + (-4)\/14. Let r(x) = -3 + g + 0. Let k(i) = 2*i + 2. Let w(l) = k(l) + 2*r(l). Let o(q) = 2*q. Give o(w(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 236\/(-168)*(1 - -2) and 43\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 4, f: 5}. What is prob of picking 1 f and 1 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 654640*o + 98241000.\nAnswer: -2*(o - 327470)*(o + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 310962.4g?\nAnswer: 310962400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = -5*m + 2, -4*m + 13 = 3*f. Suppose 6*d = g + d + 11, -2*g + 6 = -f*d. Suppose -11 = -4*x + 9. What is the remainder when g is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559881 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35998, 4, 25 in descending order.\nAnswer: 35998, 25, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1553, 2, -0.3, -0.7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2. Let i(t) be the second derivative of -t**3\/2 - 3*t**2 + 20*t. Let m(d) = -3. Let a(l) = 3*i(l) - 6*m(l). What is a(s(f))?\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32007 by -106.\nAnswer: 32007\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 15063628 and 15063627 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37416156?\nAnswer: 2, 3, 3118013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q - 74*q - 21 = 0. Suppose -34 - 29 = -q*b. Solve -2*z + b*z = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 + 1. List the prime factors of z(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdkbkibdkdkkkkkibk. What is prob of sequence ikd?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1 - (-28)\/20. Let d(l) = -l**3 + 8*l**2 - 11*l + 20. Let n be d(4). Let a be (-26 + n)*1\/(-2). Put -5, p, a in increasing order.\nAnswer: a, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -2*d + 169, -5*d = -5465*j + 5470*j - 110 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 3}. Give prob of sequence uuo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.5 + -178. Let i = -114 - x. What is the second smallest value in 0.3, i, -1\/4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**4 + 10*a**2 + 1\/60*a**5 + 0*a**3 + 0*a + 0. Let w(o) = 13*o. Give s(w(b)).\nAnswer: 169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 72\/19, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.021 - -0.459. Let w = g - -20.52. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 - 537*m\/7 + 300.\nAnswer: 3*(m - 175)*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + (-30 - -45)*(-2)\/(-5). Solve 0 = -7*g - 7 - l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -3380\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.96 + -0.04. Let j = -2.9 - f. Let d = 8 + -3. Sort j, d, -2.\nAnswer: -2, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(2 - 5 + 1) - 4 - 1 + 4)*(0*n + 0*n - 3*n**2) + 808 - 2*n**2 - 809 - 5*n**2 in the form x*n + q + o*n**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -24*u + 592. Let y = 77 + u. Solve -5*x + 16 = 3*d - 0*d, -2*x + 1 = y*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 1\/((-5)\/(-40)) + 92?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4468 and 448.\nAnswer: 447.5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -80*b - 3. Let j(n) = 122*n**2 - 52. Give j(z(h)).\nAnswer: 780800*h**2 + 58560*h + 1046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:12 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-3))\/s)**(2\/29))**20\/((s\/s**5*s)\/(s*(s\/(s*s*s\/s**(8\/7)))\/s))**(-23\/2) assuming s is positive.\nAnswer: s**(-11685\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q**2 + 1. Let k(n) = -5*n**3 - 631*n**2 + 3. Give -k(i) + 3*m(i).\nAnswer: 2*i**3 + 628*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p + 109*p + 2407 - 15803 = 4562 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8996384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556 - 1143 = 31*m + 1909 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9. Let w be 3 + z + -6 - 1. Let c(n) be the second derivative of n**3 + 14*n. Let i(b) = 5*b. What is w*c(v) + 5*i(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/19773 and 32\/15379?\nAnswer: 138411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - u**2 - u - 6. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.10999834 - 1.11. Round j to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p*u**4 - 3*p*u**3 + 5*p*u**2 + p + 163 wrt u?\nAnswer: -16*p*u**3 - 9*p*u**2 + 10*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = n - 7, -4*n - 5*h = 13 + 9. Find the common denominator of 82\/21 and (-206)\/(-35) + n\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 18939630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.023 + -0.123. Let m = -42 - -38. Let r = -2.2 + 1.7. What is the nearest to 1 in r, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125407284 - -2?\nAnswer: -125407282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -41. What are the prime factors of (1 - l) + 18\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 392 - -2b?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -46.815798072\nAnswer: 47.515798072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10222112?\nAnswer: -10222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 55 - 293. Suppose 0 = -5*j - 25, 5*h + j - 367 - v = 0. Suppose 2*s + 4*r - 122 = 0, -2*s + r + h = -4*r. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 17. Suppose -88*x - 4*h = -92*x + 52, 2 = 2*x + 6*h. Solve -t*q + x*q + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let v = u + -1.96. Do -0.2 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/333 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -25232*n**2 + 1743*n + 581. Let a(c) = -87*c**2 + 6*c + 2. Let o(v) = -1162*a(v) + 4*w(v). Let y(q) = q. Give y(o(k)).\nAnswer: 166*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*n + 1038 - 83 = -3452 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814781 minus 0.36763?\nAnswer: -2814781.36763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 + 981*n + 19226. Calculate y(-18).\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 45*q**2 + q - 68. Is 15 a factor of s(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 276, 1848, 4716, 8880, 14340, 21096?\n\"Answer: 648*q**2 - 372*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - 36) + (374 - 338).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*894562.\nAnswer: -13418430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78 + -81 - 1*-5. Suppose 3*v - 3*b + 3 = 0, 5*v - 2*b - b + 5 = 0. What is the fourth smallest value in w, -5, 0, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 543 - 539. What is the units digit of (-3792)\/(-24) - (g - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 28.999831. What is l rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100.926 + -101. Let c = 0.078 + y. Round c to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.289.\nAnswer: 3.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -410\/1734407 or -1?\nAnswer: -410\/1734407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110909.\nAnswer: 110909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 72\/(-30). Suppose 2*v = f*w - 2*v - 74, 5*v = w - 25. Let o be (-9)\/w + 202\/10. Solve 0 = -4*i - 0*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*p - 28, -p = j - 1 - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*x - 960 = 321*x. What is the smallest common multiple of x and 16?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 127*j + 1. Let a(r) = -8*r**2. Determine a(z(x)).\nAnswer: -129032*x**2 - 2032*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*w - 5, 3*r + 0*r + 5*w = -18. Let a(p) = 5*p**3 + 1. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*w + w = -19, -5*l + w = 7. Let m(h) = h - 2. Let c be m(6). Put c, l, -3 in decreasing order.\nAnswer: c, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596*p + 106674 = 1338 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2541) + 4*sqrt(2541)*2)\/(sqrt(12)\/((sqrt(4) + sqrt(64) + sqrt(4) - sqrt(4)) + sqrt(4)) - sqrt(30)\/sqrt(90)).\nAnswer: -594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -1235, -1876, -2541, -3236, -3967, -4740, -5561?\nAnswer: -6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1620.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:13 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010111101 (base 2) to base 13.\nAnswer: -3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.177 (b) -1 (c) -11 (d) -10.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-315) - (-54)\/189)*(-3)\/(-22)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = 11. Suppose 0 = t + 2*w - 1 + 7, -3*t - 4*w - 8 = 0. Suppose -t*i = -3*i. Solve 5*r + i - z = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 0*d)*(0*d**2 - d**2 + 4*d**2) - 1864*d**3 - 1862*d**3 + 3682*d**3.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 1, r: 1}. Give prob of sequence rwj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 51 = b. List the prime factors of -1 + b\/(-3) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11108812093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, 1\/3, -2\/5, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 25464\nAnswer: 25464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12990 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}